74
t Math Essentials 9 2nd Edtion Student Resouree AUTHORS Steve Etienne B.Sc ., B.Admin ., Ed .Cert. District School Board of N iagara Jodi Clarke B. Sc ., B. Ed . Tri l l ium Lakelands Distr ict School Board Liisa Suurtamm Hon. B.Sc., B .Ed . District School Board of N iagara ADVISORS Alexis Galvao Dufferin-Peel Catholic District School Board · Lori Malachowski Durham Catholic Distr ict School Board Susan Holt Peel Distr ict School Board Janet VanKoughnett Thames Valley District School Board Cheryl Warrington Toronto Distr ict School Board LITERACY ADVISOR Steve Bibla Toronto District School Board McGraw-Hill R yerson Toronto Montreal Boston Burr Ridge, IL Dubuque, IA Madison, WI New York San Francisco St. Louis Bangko k Bogota Caracas Kuala Lumpur Lisbon London Madrid Mexico City Milan New Delhi Santiago Seoul Singapore Sydney Taipei

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Page 1: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

bull tifli

Math Essentials 9 2nd Edition

Student Resouree

AUTHORS

Steve Etienne BSc BAd m i n Ed Cert D istrict School Boa rd of N iagara

Jodi Clarke B Sc B Ed Tri l l i um La ke lands D istrict School Boa rd

Liisa Suurtamm Hon BSc B Ed District School Boa rd o f N iaga ra

ADVISORS

Alexis Ga lvao Dufferi n-Peel Cathol ic D istrict School Board

middot Lori Malachowski Durham Cathol ic D istrict School Boa rd

Susan Holt Peel D istrict School Boa rd

Janet VanKoughnett Thames Va l l ey D istrict School Board

Cheryl Warrington Toronto D istrict School Boa rd

LITERACY ADVISOR

Steve Bibla Toronto District School Board

McGraw-HillR yerson

Toronto Montrea l Boston Burr Ridge IL Dubuq ue IA Mad ison WI New York San Fra ncisco St Lou is Ba ngkok Bogota Ca racas Kua la Lumpur Lisbon London Mad ri d Mex ico City Mi l an New Del h i Sa ntiago Seou l S i ngapore Syd ney Ta i pei

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Math Essentials 9 Student Resource 2nd Edition Copyright copy 2011 McGraw-Hill Ryerson Limited a Subsidiary of The McGrawshyHill Companies Al l rights reserved No part of this publ ication may be reproduced or transmitted in any form or by any means or stored in a data base or retrieval system without the prior written permission of McGraw-Hill Ryerson Limited or in the case of photocopying or other reprographic copying a licence from The Canadian Copyright Licensing Agency (Access Copyright) For an Access Copyright l icence visit wwwaccesscopyrightca or ca l l to l l free to 1-800-893-5777 ISBN 0-07-134013-0 httpwwwmcgrawhillca

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PUBLISHER Jean Ford PROJECT MANAGER Jod i Rauch DEVELOPMENTAL EDITOR Jod i Rauch MANAGER EDITORIAL SERVICEs Crysta l Shortt SUPERVISING EDITOR Ja ime Smith COPY EDITOR Paul McNulty EDITORIAL ASSISTANT Erin Hartley MANAGER PRODUCTION SERVICES Yolanda Pigden PRODUCTION COORDINATOR Scott Morrison COVER DESIGN Michelle Losier ELECTRONIC PAGE MAKE-UP Aptara

Acknowledgements

Reviewers The authors and editors of McGraw-Hi l l Ryerson Math Essentia ls 9 wish to thank the following educators for their thoughtful comments and creative suggestions about what would work best in Math Essentials classrooms Their input has been invaluable in making sure that the text and

its related Teachers Resource meet the needs of students and teachers in Ontario

Anne Marie Brady District School Board of N iagara

Ian Charlton Thames Va l ley District School Board

Roy Dallmann Thorold Ontario

Barb Deslauriers Dufferin-Peel Catholic District School Board

Joslynn Dicks Durham District School Board

Penny Elieff Ottawa-Carleton District School Board

Shirley Ferguson Greater Essex County District School Board

Jacqueline Freeman Thames Va l ley District School Board

John Gardiner Tri l l ium Lakela nds District School Board

Ralph Hackbarth Thames Va l ley District School Board

Catherine Haines Toronto District School Board

Mark Henderson District School Board of N iaga ra

Gord Humphrey Durham District School Board

Christa Karr Thames Va l ley District School Board

Nobuko Khan Toronto District School Board

Donna Kwan Thames Va l ley District School Board

Michelle Langlois Greater Essex County District School Board

Shari Megumi Kuroyama York Region District School Board

Laura Lockhart Tri l l ium Lakelands District School Board

Kay Minter Toronto District School Board

Teresa Mosher Brant-Hald imand-Norfo lk Cathol ic District School Board

Donald Mountain Thames Va l ley District School Board

Peter Nikolopoulos Thames Va l ley District School Board

Elizabeth Oehm Thames Va l ley District School Board

Peter Seidman Toronto District School Board

Mimi Slawek Dufferin-Peel Cathol ic District School Board

Joe Spano Dufferi n-Peel Catho l ic District School Board

Maria Stewart Dufferi n-Peel Cathol ic District School Board

Laurissa Werhun Toronto District School Board

Krista Zupan Durham Catho l ic District School Board

Math Essent ia ls 9 Student Resou rce bull MH R i i i

Contents

1Chapter 1 Money Matters

1 1 Where Does It Go 2 Ski l l s Practice 1 Money 2

6

Ski l l s Practice 2 P lace Va l u e and Rou nd i ng 6 1 2 Food for Thought

1 3 Shopping on a Budget 1 0

1 4 Making Change 14

Ski l l s Practice 3 Retu rn i n g Change 14

Ski l l s Practice 4 Percent 18

1 5 Tax Not Included 19

1 6 Calculating HST 23

1 7 My Spending 27

1 8 Items on Sale 3 1

1 9 Comparing Apples to Apples 36

Chapter 1 Review 42

Task Stocking Up for School 44

Chapter 2 Linear Measurement Metric 45

2 1 Metric Lengths and References 46 Ski l l s Practice 5 M u lt iplyi ng and Divid ing by Powers of Ten 46

22 Estimating and Measuring Metric Lengths 50

23 Thinking Outside the Box 54

Ski l l s Practice 6 Sca le D iagra ms 58

24 Monster Trucks 60

Chapter 2 Review 64

Task School Renovations 66

iv MHR bull Math Essentia l s 9 Student Resource

Chapter 3 Linear Measurement Imperial I I I I I I 67 I

3 1 Introduction to Imperial Measure 68

Ski l l s Practice 7 Eq u i va lent Fract ions 72

32 Imperial Lengths and References 7 4

Ski l l s Practice 8 Add i n g Imperia l Measu res bull bull bull 78I bull bull

Ski l l s Practice 9 M u lti p ly i ng Im peria l Measu res 80

3 3 Calculating Perimeter Using Imperial Measures 8 1

3 4 My Own Room 8 4

Chapter 3 Review 88

Task The Master Bedroom 90

Chapter 4 Cooking 9 1

4 1 Measuring Tools 92

Ski l l s Practice 1 0 Add i ng a nd Su btracti n g Fractions 96

4 2 Cooking for a Crowd 98

Ski l l s Practice 1 1 Writi ng a nd Red uci ng Ratios 1 0 3

43 Snack Time 1 0 4

44 Shopping For Ingredients 1 0 8

Chapter 4 Review 1 1 2

Task Working With Recipes 1 1 4

Chapter 5 Sports and Leisure 1 1 5

5 1 Personal Rates 1 1 6 Ski l l s Practice 1 2 Eq u i va lent Ratios 1 1 6

Ski l l s Practice 1 3 Equ i va lent Rates and Rate Prob lems 120

52 Lining a Soccer Field (A Metric Activity) 1 22

53 Swimming in an Olympic Size Pool (Metric Measure) 1 26

Ski l l s Practice 1 4 M u lti p ly i ng by 1 2 middot 1 30 rsaquo

54 Defying Gravity (An Imperial Activity) 1 3 2

Ski l ls Practice 1 5 Converting Between Imperial Un its of Length 1 3 3

55 Playing Shinny (Imperial Measure) 1 3 6

56 Money and Sports 1 40

Chapter 5 Review 1 44

Task Beach Volleyball 1 46

Math Essentia ls 9 Student Resou rce bull M H R v

Chapter 6 Dining Out 1 47

6 1 School Lunches 1 48

62 Fast Food 1 52

Ski l l s Practice 16 Estimati ng Lon g Sums 1 55

63 Your Treat 1 56

64 At the Movies 1 60

65 Todays Special 1 6 4 Ski l l s Practice 1 7 Fract ions Decima l s a nd Percents 16 4

Chapter 6 Review 1 68

Task Out for Dinner 170

Chapter 7 Home Improvement 1 7 1

7 1 About How Many Metres (or Feet) 1 72

72 Measuring Surfaces With Squares 176

73 About How Many Square Centimetres 1 80

Ski l l s Practice 1 8 Con verti ng M etric Area U n its 1 83

74 Regions and Rectangles 1 8 4

75 How Much Do You Need 188

76 Area of a Triangle 192

77 Work With Triangular Areas 196

Chapter 7 Review 200

Task Fix Up a Shed 202

Chapter 8 Healthy Choices 203

8 1 Estimating and Measuring Mass 20 4

82 Choosing Units for Mass 208

83 How Are Foods Sold 2 1 2

84 Portion Sizes 2 1 6

85 What You Get in Packaged Foods 220 Ski l l s Practice 1 9 Red uci n g Ratios 223

86 Comparing Amounts of Nutrients 224

Chapter 8 Review 228

Task Planning a Healthy Day 230

vi MH R bull Math Essentia ls 9 Student Resou rce

95

Chapter 9 Boxed In 23 1

9 1 How Many Ways Can You Package It 232 Ski l l s Practice 20 Drawing 3 -Di mensional Shapes on Isometric Grids 232

9 2 Volume 236

9 3 Boxes Boxes Boxes 2 40

94 Changing Bases 2 44

Boxes for Charity 2 48

Chapter 9 Review 252

Task Shipping Help 2 5 4

Chapter 10 The World of Work 2 5 5

Ski l l s Practice 2 1 Ti me 256

10 1 Babysitting 258

102 A Weeks Work 262 Ski l l s Practice 22 Add i ng Whole N u m bers a n d Fract ions 262

103 Moving On Up 266

104 Where Does It Go 270

Chapter 10 Review 27 4

Task Where Does Your Money Go 276

Glossary 277

Math Essentia ls 9 Student Resou rce bull MH R v i i

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 2: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

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Math Essent ia ls 9 Student Resou rce bull MH R i i i

Contents

1Chapter 1 Money Matters

1 1 Where Does It Go 2 Ski l l s Practice 1 Money 2

6

Ski l l s Practice 2 P lace Va l u e and Rou nd i ng 6 1 2 Food for Thought

1 3 Shopping on a Budget 1 0

1 4 Making Change 14

Ski l l s Practice 3 Retu rn i n g Change 14

Ski l l s Practice 4 Percent 18

1 5 Tax Not Included 19

1 6 Calculating HST 23

1 7 My Spending 27

1 8 Items on Sale 3 1

1 9 Comparing Apples to Apples 36

Chapter 1 Review 42

Task Stocking Up for School 44

Chapter 2 Linear Measurement Metric 45

2 1 Metric Lengths and References 46 Ski l l s Practice 5 M u lt iplyi ng and Divid ing by Powers of Ten 46

22 Estimating and Measuring Metric Lengths 50

23 Thinking Outside the Box 54

Ski l l s Practice 6 Sca le D iagra ms 58

24 Monster Trucks 60

Chapter 2 Review 64

Task School Renovations 66

iv MHR bull Math Essentia l s 9 Student Resource

Chapter 3 Linear Measurement Imperial I I I I I I 67 I

3 1 Introduction to Imperial Measure 68

Ski l l s Practice 7 Eq u i va lent Fract ions 72

32 Imperial Lengths and References 7 4

Ski l l s Practice 8 Add i n g Imperia l Measu res bull bull bull 78I bull bull

Ski l l s Practice 9 M u lti p ly i ng Im peria l Measu res 80

3 3 Calculating Perimeter Using Imperial Measures 8 1

3 4 My Own Room 8 4

Chapter 3 Review 88

Task The Master Bedroom 90

Chapter 4 Cooking 9 1

4 1 Measuring Tools 92

Ski l l s Practice 1 0 Add i ng a nd Su btracti n g Fractions 96

4 2 Cooking for a Crowd 98

Ski l l s Practice 1 1 Writi ng a nd Red uci ng Ratios 1 0 3

43 Snack Time 1 0 4

44 Shopping For Ingredients 1 0 8

Chapter 4 Review 1 1 2

Task Working With Recipes 1 1 4

Chapter 5 Sports and Leisure 1 1 5

5 1 Personal Rates 1 1 6 Ski l l s Practice 1 2 Eq u i va lent Ratios 1 1 6

Ski l l s Practice 1 3 Equ i va lent Rates and Rate Prob lems 120

52 Lining a Soccer Field (A Metric Activity) 1 22

53 Swimming in an Olympic Size Pool (Metric Measure) 1 26

Ski l l s Practice 1 4 M u lti p ly i ng by 1 2 middot 1 30 rsaquo

54 Defying Gravity (An Imperial Activity) 1 3 2

Ski l ls Practice 1 5 Converting Between Imperial Un its of Length 1 3 3

55 Playing Shinny (Imperial Measure) 1 3 6

56 Money and Sports 1 40

Chapter 5 Review 1 44

Task Beach Volleyball 1 46

Math Essentia ls 9 Student Resou rce bull M H R v

Chapter 6 Dining Out 1 47

6 1 School Lunches 1 48

62 Fast Food 1 52

Ski l l s Practice 16 Estimati ng Lon g Sums 1 55

63 Your Treat 1 56

64 At the Movies 1 60

65 Todays Special 1 6 4 Ski l l s Practice 1 7 Fract ions Decima l s a nd Percents 16 4

Chapter 6 Review 1 68

Task Out for Dinner 170

Chapter 7 Home Improvement 1 7 1

7 1 About How Many Metres (or Feet) 1 72

72 Measuring Surfaces With Squares 176

73 About How Many Square Centimetres 1 80

Ski l l s Practice 1 8 Con verti ng M etric Area U n its 1 83

74 Regions and Rectangles 1 8 4

75 How Much Do You Need 188

76 Area of a Triangle 192

77 Work With Triangular Areas 196

Chapter 7 Review 200

Task Fix Up a Shed 202

Chapter 8 Healthy Choices 203

8 1 Estimating and Measuring Mass 20 4

82 Choosing Units for Mass 208

83 How Are Foods Sold 2 1 2

84 Portion Sizes 2 1 6

85 What You Get in Packaged Foods 220 Ski l l s Practice 1 9 Red uci n g Ratios 223

86 Comparing Amounts of Nutrients 224

Chapter 8 Review 228

Task Planning a Healthy Day 230

vi MH R bull Math Essentia ls 9 Student Resou rce

95

Chapter 9 Boxed In 23 1

9 1 How Many Ways Can You Package It 232 Ski l l s Practice 20 Drawing 3 -Di mensional Shapes on Isometric Grids 232

9 2 Volume 236

9 3 Boxes Boxes Boxes 2 40

94 Changing Bases 2 44

Boxes for Charity 2 48

Chapter 9 Review 252

Task Shipping Help 2 5 4

Chapter 10 The World of Work 2 5 5

Ski l l s Practice 2 1 Ti me 256

10 1 Babysitting 258

102 A Weeks Work 262 Ski l l s Practice 22 Add i ng Whole N u m bers a n d Fract ions 262

103 Moving On Up 266

104 Where Does It Go 270

Chapter 10 Review 27 4

Task Where Does Your Money Go 276

Glossary 277

Math Essentia ls 9 Student Resou rce bull MH R v i i

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 3: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Acknowledgements

Reviewers The authors and editors of McGraw-Hi l l Ryerson Math Essentia ls 9 wish to thank the following educators for their thoughtful comments and creative suggestions about what would work best in Math Essentials classrooms Their input has been invaluable in making sure that the text and

its related Teachers Resource meet the needs of students and teachers in Ontario

Anne Marie Brady District School Board of N iagara

Ian Charlton Thames Va l ley District School Board

Roy Dallmann Thorold Ontario

Barb Deslauriers Dufferin-Peel Catholic District School Board

Joslynn Dicks Durham District School Board

Penny Elieff Ottawa-Carleton District School Board

Shirley Ferguson Greater Essex County District School Board

Jacqueline Freeman Thames Va l ley District School Board

John Gardiner Tri l l ium Lakela nds District School Board

Ralph Hackbarth Thames Va l ley District School Board

Catherine Haines Toronto District School Board

Mark Henderson District School Board of N iaga ra

Gord Humphrey Durham District School Board

Christa Karr Thames Va l ley District School Board

Nobuko Khan Toronto District School Board

Donna Kwan Thames Va l ley District School Board

Michelle Langlois Greater Essex County District School Board

Shari Megumi Kuroyama York Region District School Board

Laura Lockhart Tri l l ium Lakelands District School Board

Kay Minter Toronto District School Board

Teresa Mosher Brant-Hald imand-Norfo lk Cathol ic District School Board

Donald Mountain Thames Va l ley District School Board

Peter Nikolopoulos Thames Va l ley District School Board

Elizabeth Oehm Thames Va l ley District School Board

Peter Seidman Toronto District School Board

Mimi Slawek Dufferin-Peel Cathol ic District School Board

Joe Spano Dufferi n-Peel Catho l ic District School Board

Maria Stewart Dufferi n-Peel Cathol ic District School Board

Laurissa Werhun Toronto District School Board

Krista Zupan Durham Catho l ic District School Board

Math Essent ia ls 9 Student Resou rce bull MH R i i i

Contents

1Chapter 1 Money Matters

1 1 Where Does It Go 2 Ski l l s Practice 1 Money 2

6

Ski l l s Practice 2 P lace Va l u e and Rou nd i ng 6 1 2 Food for Thought

1 3 Shopping on a Budget 1 0

1 4 Making Change 14

Ski l l s Practice 3 Retu rn i n g Change 14

Ski l l s Practice 4 Percent 18

1 5 Tax Not Included 19

1 6 Calculating HST 23

1 7 My Spending 27

1 8 Items on Sale 3 1

1 9 Comparing Apples to Apples 36

Chapter 1 Review 42

Task Stocking Up for School 44

Chapter 2 Linear Measurement Metric 45

2 1 Metric Lengths and References 46 Ski l l s Practice 5 M u lt iplyi ng and Divid ing by Powers of Ten 46

22 Estimating and Measuring Metric Lengths 50

23 Thinking Outside the Box 54

Ski l l s Practice 6 Sca le D iagra ms 58

24 Monster Trucks 60

Chapter 2 Review 64

Task School Renovations 66

iv MHR bull Math Essentia l s 9 Student Resource

Chapter 3 Linear Measurement Imperial I I I I I I 67 I

3 1 Introduction to Imperial Measure 68

Ski l l s Practice 7 Eq u i va lent Fract ions 72

32 Imperial Lengths and References 7 4

Ski l l s Practice 8 Add i n g Imperia l Measu res bull bull bull 78I bull bull

Ski l l s Practice 9 M u lti p ly i ng Im peria l Measu res 80

3 3 Calculating Perimeter Using Imperial Measures 8 1

3 4 My Own Room 8 4

Chapter 3 Review 88

Task The Master Bedroom 90

Chapter 4 Cooking 9 1

4 1 Measuring Tools 92

Ski l l s Practice 1 0 Add i ng a nd Su btracti n g Fractions 96

4 2 Cooking for a Crowd 98

Ski l l s Practice 1 1 Writi ng a nd Red uci ng Ratios 1 0 3

43 Snack Time 1 0 4

44 Shopping For Ingredients 1 0 8

Chapter 4 Review 1 1 2

Task Working With Recipes 1 1 4

Chapter 5 Sports and Leisure 1 1 5

5 1 Personal Rates 1 1 6 Ski l l s Practice 1 2 Eq u i va lent Ratios 1 1 6

Ski l l s Practice 1 3 Equ i va lent Rates and Rate Prob lems 120

52 Lining a Soccer Field (A Metric Activity) 1 22

53 Swimming in an Olympic Size Pool (Metric Measure) 1 26

Ski l l s Practice 1 4 M u lti p ly i ng by 1 2 middot 1 30 rsaquo

54 Defying Gravity (An Imperial Activity) 1 3 2

Ski l ls Practice 1 5 Converting Between Imperial Un its of Length 1 3 3

55 Playing Shinny (Imperial Measure) 1 3 6

56 Money and Sports 1 40

Chapter 5 Review 1 44

Task Beach Volleyball 1 46

Math Essentia ls 9 Student Resou rce bull M H R v

Chapter 6 Dining Out 1 47

6 1 School Lunches 1 48

62 Fast Food 1 52

Ski l l s Practice 16 Estimati ng Lon g Sums 1 55

63 Your Treat 1 56

64 At the Movies 1 60

65 Todays Special 1 6 4 Ski l l s Practice 1 7 Fract ions Decima l s a nd Percents 16 4

Chapter 6 Review 1 68

Task Out for Dinner 170

Chapter 7 Home Improvement 1 7 1

7 1 About How Many Metres (or Feet) 1 72

72 Measuring Surfaces With Squares 176

73 About How Many Square Centimetres 1 80

Ski l l s Practice 1 8 Con verti ng M etric Area U n its 1 83

74 Regions and Rectangles 1 8 4

75 How Much Do You Need 188

76 Area of a Triangle 192

77 Work With Triangular Areas 196

Chapter 7 Review 200

Task Fix Up a Shed 202

Chapter 8 Healthy Choices 203

8 1 Estimating and Measuring Mass 20 4

82 Choosing Units for Mass 208

83 How Are Foods Sold 2 1 2

84 Portion Sizes 2 1 6

85 What You Get in Packaged Foods 220 Ski l l s Practice 1 9 Red uci n g Ratios 223

86 Comparing Amounts of Nutrients 224

Chapter 8 Review 228

Task Planning a Healthy Day 230

vi MH R bull Math Essentia ls 9 Student Resou rce

95

Chapter 9 Boxed In 23 1

9 1 How Many Ways Can You Package It 232 Ski l l s Practice 20 Drawing 3 -Di mensional Shapes on Isometric Grids 232

9 2 Volume 236

9 3 Boxes Boxes Boxes 2 40

94 Changing Bases 2 44

Boxes for Charity 2 48

Chapter 9 Review 252

Task Shipping Help 2 5 4

Chapter 10 The World of Work 2 5 5

Ski l l s Practice 2 1 Ti me 256

10 1 Babysitting 258

102 A Weeks Work 262 Ski l l s Practice 22 Add i ng Whole N u m bers a n d Fract ions 262

103 Moving On Up 266

104 Where Does It Go 270

Chapter 10 Review 27 4

Task Where Does Your Money Go 276

Glossary 277

Math Essentia ls 9 Student Resou rce bull MH R v i i

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 4: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Contents

1Chapter 1 Money Matters

1 1 Where Does It Go 2 Ski l l s Practice 1 Money 2

6

Ski l l s Practice 2 P lace Va l u e and Rou nd i ng 6 1 2 Food for Thought

1 3 Shopping on a Budget 1 0

1 4 Making Change 14

Ski l l s Practice 3 Retu rn i n g Change 14

Ski l l s Practice 4 Percent 18

1 5 Tax Not Included 19

1 6 Calculating HST 23

1 7 My Spending 27

1 8 Items on Sale 3 1

1 9 Comparing Apples to Apples 36

Chapter 1 Review 42

Task Stocking Up for School 44

Chapter 2 Linear Measurement Metric 45

2 1 Metric Lengths and References 46 Ski l l s Practice 5 M u lt iplyi ng and Divid ing by Powers of Ten 46

22 Estimating and Measuring Metric Lengths 50

23 Thinking Outside the Box 54

Ski l l s Practice 6 Sca le D iagra ms 58

24 Monster Trucks 60

Chapter 2 Review 64

Task School Renovations 66

iv MHR bull Math Essentia l s 9 Student Resource

Chapter 3 Linear Measurement Imperial I I I I I I 67 I

3 1 Introduction to Imperial Measure 68

Ski l l s Practice 7 Eq u i va lent Fract ions 72

32 Imperial Lengths and References 7 4

Ski l l s Practice 8 Add i n g Imperia l Measu res bull bull bull 78I bull bull

Ski l l s Practice 9 M u lti p ly i ng Im peria l Measu res 80

3 3 Calculating Perimeter Using Imperial Measures 8 1

3 4 My Own Room 8 4

Chapter 3 Review 88

Task The Master Bedroom 90

Chapter 4 Cooking 9 1

4 1 Measuring Tools 92

Ski l l s Practice 1 0 Add i ng a nd Su btracti n g Fractions 96

4 2 Cooking for a Crowd 98

Ski l l s Practice 1 1 Writi ng a nd Red uci ng Ratios 1 0 3

43 Snack Time 1 0 4

44 Shopping For Ingredients 1 0 8

Chapter 4 Review 1 1 2

Task Working With Recipes 1 1 4

Chapter 5 Sports and Leisure 1 1 5

5 1 Personal Rates 1 1 6 Ski l l s Practice 1 2 Eq u i va lent Ratios 1 1 6

Ski l l s Practice 1 3 Equ i va lent Rates and Rate Prob lems 120

52 Lining a Soccer Field (A Metric Activity) 1 22

53 Swimming in an Olympic Size Pool (Metric Measure) 1 26

Ski l l s Practice 1 4 M u lti p ly i ng by 1 2 middot 1 30 rsaquo

54 Defying Gravity (An Imperial Activity) 1 3 2

Ski l ls Practice 1 5 Converting Between Imperial Un its of Length 1 3 3

55 Playing Shinny (Imperial Measure) 1 3 6

56 Money and Sports 1 40

Chapter 5 Review 1 44

Task Beach Volleyball 1 46

Math Essentia ls 9 Student Resou rce bull M H R v

Chapter 6 Dining Out 1 47

6 1 School Lunches 1 48

62 Fast Food 1 52

Ski l l s Practice 16 Estimati ng Lon g Sums 1 55

63 Your Treat 1 56

64 At the Movies 1 60

65 Todays Special 1 6 4 Ski l l s Practice 1 7 Fract ions Decima l s a nd Percents 16 4

Chapter 6 Review 1 68

Task Out for Dinner 170

Chapter 7 Home Improvement 1 7 1

7 1 About How Many Metres (or Feet) 1 72

72 Measuring Surfaces With Squares 176

73 About How Many Square Centimetres 1 80

Ski l l s Practice 1 8 Con verti ng M etric Area U n its 1 83

74 Regions and Rectangles 1 8 4

75 How Much Do You Need 188

76 Area of a Triangle 192

77 Work With Triangular Areas 196

Chapter 7 Review 200

Task Fix Up a Shed 202

Chapter 8 Healthy Choices 203

8 1 Estimating and Measuring Mass 20 4

82 Choosing Units for Mass 208

83 How Are Foods Sold 2 1 2

84 Portion Sizes 2 1 6

85 What You Get in Packaged Foods 220 Ski l l s Practice 1 9 Red uci n g Ratios 223

86 Comparing Amounts of Nutrients 224

Chapter 8 Review 228

Task Planning a Healthy Day 230

vi MH R bull Math Essentia ls 9 Student Resou rce

95

Chapter 9 Boxed In 23 1

9 1 How Many Ways Can You Package It 232 Ski l l s Practice 20 Drawing 3 -Di mensional Shapes on Isometric Grids 232

9 2 Volume 236

9 3 Boxes Boxes Boxes 2 40

94 Changing Bases 2 44

Boxes for Charity 2 48

Chapter 9 Review 252

Task Shipping Help 2 5 4

Chapter 10 The World of Work 2 5 5

Ski l l s Practice 2 1 Ti me 256

10 1 Babysitting 258

102 A Weeks Work 262 Ski l l s Practice 22 Add i ng Whole N u m bers a n d Fract ions 262

103 Moving On Up 266

104 Where Does It Go 270

Chapter 10 Review 27 4

Task Where Does Your Money Go 276

Glossary 277

Math Essentia ls 9 Student Resou rce bull MH R v i i

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 5: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Chapter 3 Linear Measurement Imperial I I I I I I 67 I

3 1 Introduction to Imperial Measure 68

Ski l l s Practice 7 Eq u i va lent Fract ions 72

32 Imperial Lengths and References 7 4

Ski l l s Practice 8 Add i n g Imperia l Measu res bull bull bull 78I bull bull

Ski l l s Practice 9 M u lti p ly i ng Im peria l Measu res 80

3 3 Calculating Perimeter Using Imperial Measures 8 1

3 4 My Own Room 8 4

Chapter 3 Review 88

Task The Master Bedroom 90

Chapter 4 Cooking 9 1

4 1 Measuring Tools 92

Ski l l s Practice 1 0 Add i ng a nd Su btracti n g Fractions 96

4 2 Cooking for a Crowd 98

Ski l l s Practice 1 1 Writi ng a nd Red uci ng Ratios 1 0 3

43 Snack Time 1 0 4

44 Shopping For Ingredients 1 0 8

Chapter 4 Review 1 1 2

Task Working With Recipes 1 1 4

Chapter 5 Sports and Leisure 1 1 5

5 1 Personal Rates 1 1 6 Ski l l s Practice 1 2 Eq u i va lent Ratios 1 1 6

Ski l l s Practice 1 3 Equ i va lent Rates and Rate Prob lems 120

52 Lining a Soccer Field (A Metric Activity) 1 22

53 Swimming in an Olympic Size Pool (Metric Measure) 1 26

Ski l l s Practice 1 4 M u lti p ly i ng by 1 2 middot 1 30 rsaquo

54 Defying Gravity (An Imperial Activity) 1 3 2

Ski l ls Practice 1 5 Converting Between Imperial Un its of Length 1 3 3

55 Playing Shinny (Imperial Measure) 1 3 6

56 Money and Sports 1 40

Chapter 5 Review 1 44

Task Beach Volleyball 1 46

Math Essentia ls 9 Student Resou rce bull M H R v

Chapter 6 Dining Out 1 47

6 1 School Lunches 1 48

62 Fast Food 1 52

Ski l l s Practice 16 Estimati ng Lon g Sums 1 55

63 Your Treat 1 56

64 At the Movies 1 60

65 Todays Special 1 6 4 Ski l l s Practice 1 7 Fract ions Decima l s a nd Percents 16 4

Chapter 6 Review 1 68

Task Out for Dinner 170

Chapter 7 Home Improvement 1 7 1

7 1 About How Many Metres (or Feet) 1 72

72 Measuring Surfaces With Squares 176

73 About How Many Square Centimetres 1 80

Ski l l s Practice 1 8 Con verti ng M etric Area U n its 1 83

74 Regions and Rectangles 1 8 4

75 How Much Do You Need 188

76 Area of a Triangle 192

77 Work With Triangular Areas 196

Chapter 7 Review 200

Task Fix Up a Shed 202

Chapter 8 Healthy Choices 203

8 1 Estimating and Measuring Mass 20 4

82 Choosing Units for Mass 208

83 How Are Foods Sold 2 1 2

84 Portion Sizes 2 1 6

85 What You Get in Packaged Foods 220 Ski l l s Practice 1 9 Red uci n g Ratios 223

86 Comparing Amounts of Nutrients 224

Chapter 8 Review 228

Task Planning a Healthy Day 230

vi MH R bull Math Essentia ls 9 Student Resou rce

95

Chapter 9 Boxed In 23 1

9 1 How Many Ways Can You Package It 232 Ski l l s Practice 20 Drawing 3 -Di mensional Shapes on Isometric Grids 232

9 2 Volume 236

9 3 Boxes Boxes Boxes 2 40

94 Changing Bases 2 44

Boxes for Charity 2 48

Chapter 9 Review 252

Task Shipping Help 2 5 4

Chapter 10 The World of Work 2 5 5

Ski l l s Practice 2 1 Ti me 256

10 1 Babysitting 258

102 A Weeks Work 262 Ski l l s Practice 22 Add i ng Whole N u m bers a n d Fract ions 262

103 Moving On Up 266

104 Where Does It Go 270

Chapter 10 Review 27 4

Task Where Does Your Money Go 276

Glossary 277

Math Essentia ls 9 Student Resou rce bull MH R v i i

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 6: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Chapter 6 Dining Out 1 47

6 1 School Lunches 1 48

62 Fast Food 1 52

Ski l l s Practice 16 Estimati ng Lon g Sums 1 55

63 Your Treat 1 56

64 At the Movies 1 60

65 Todays Special 1 6 4 Ski l l s Practice 1 7 Fract ions Decima l s a nd Percents 16 4

Chapter 6 Review 1 68

Task Out for Dinner 170

Chapter 7 Home Improvement 1 7 1

7 1 About How Many Metres (or Feet) 1 72

72 Measuring Surfaces With Squares 176

73 About How Many Square Centimetres 1 80

Ski l l s Practice 1 8 Con verti ng M etric Area U n its 1 83

74 Regions and Rectangles 1 8 4

75 How Much Do You Need 188

76 Area of a Triangle 192

77 Work With Triangular Areas 196

Chapter 7 Review 200

Task Fix Up a Shed 202

Chapter 8 Healthy Choices 203

8 1 Estimating and Measuring Mass 20 4

82 Choosing Units for Mass 208

83 How Are Foods Sold 2 1 2

84 Portion Sizes 2 1 6

85 What You Get in Packaged Foods 220 Ski l l s Practice 1 9 Red uci n g Ratios 223

86 Comparing Amounts of Nutrients 224

Chapter 8 Review 228

Task Planning a Healthy Day 230

vi MH R bull Math Essentia ls 9 Student Resou rce

95

Chapter 9 Boxed In 23 1

9 1 How Many Ways Can You Package It 232 Ski l l s Practice 20 Drawing 3 -Di mensional Shapes on Isometric Grids 232

9 2 Volume 236

9 3 Boxes Boxes Boxes 2 40

94 Changing Bases 2 44

Boxes for Charity 2 48

Chapter 9 Review 252

Task Shipping Help 2 5 4

Chapter 10 The World of Work 2 5 5

Ski l l s Practice 2 1 Ti me 256

10 1 Babysitting 258

102 A Weeks Work 262 Ski l l s Practice 22 Add i ng Whole N u m bers a n d Fract ions 262

103 Moving On Up 266

104 Where Does It Go 270

Chapter 10 Review 27 4

Task Where Does Your Money Go 276

Glossary 277

Math Essentia ls 9 Student Resou rce bull MH R v i i

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 7: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

95

Chapter 9 Boxed In 23 1

9 1 How Many Ways Can You Package It 232 Ski l l s Practice 20 Drawing 3 -Di mensional Shapes on Isometric Grids 232

9 2 Volume 236

9 3 Boxes Boxes Boxes 2 40

94 Changing Bases 2 44

Boxes for Charity 2 48

Chapter 9 Review 252

Task Shipping Help 2 5 4

Chapter 10 The World of Work 2 5 5

Ski l l s Practice 2 1 Ti me 256

10 1 Babysitting 258

102 A Weeks Work 262 Ski l l s Practice 22 Add i ng Whole N u m bers a n d Fract ions 262

103 Moving On Up 266

104 Where Does It Go 270

Chapter 10 Review 27 4

Task Where Does Your Money Go 276

Glossary 277

Math Essentia ls 9 Student Resou rce bull MH R v i i

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 8: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

1 Money Matters

1 Exa m i ne the ca rtoon Is the tota l of $ 3 1 5 reasonab le for the school

supp l ies on the cou nter Exp la i n

2 What other school supp l ies m i g ht a student i n g rade 9 buy For each

new item est imate the cost

Cha pter 1 Money Matters bull MH R 1

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 9: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Skills Practice Money 1 This amount of money can be

written as 25cent or $025 Write each of the following amounts of money in 2 ways a)

b)

c) centor$

Name

Where Does It Go

1 Use p ictu res or words to

expl a i n one way you ca n use

co ins to tota l one do l l a r

2 Name 3 d ifferent p laces where

you use money

3 An item costs 45 cent C i rc le the co ins that you wou ld g ive the cash ier

4 If you have the fo l lowing co i ns i n you r pocket how m uch money do you have

1

centor$

centor$

2 MH R bull Cha pter 1 Money Matters

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 10: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

2 Write each of the following amounts of money in 2 ways a)

b)

c)

3 Circle the correct money value for each of the following calculator

displays

a) b) c)

4 Add

16-5 os

1 5 -

a) $100 + $200

c) $225 + $130

5 Subtract a) $700

$400

c) $565 $320

$1650

$005

$150

b)

d)

b)

d)

$1605

$050

$1500

$150 + $350

$020 $110

+ $145

$250 $100

$875 $052

-

Name

Tech Tip On ca lcu lators computers a utomated tel ler machines (ATMs) and cash registers you

often have to enter money va lues

To enter $1250 on your ca lcu lator press

copy12050 Press G How does you r ca lcu lator display the va lue 1250

--

11 Where Does It Go bull M H R 3

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 11: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

f)

b)

d)

f)

N a me

Spending Money

bull People spend money every day bull What do you spend money on bull What do other people buy for you

1 List 6 th ings you spend money on d u ri ng the week

Esti mate how much you spend on each item each week

a)

b)

c)

d)

e)

2 List 6 th i ngs that other peop le buy for you d u ring the

week

a)

c)

e)

4 MH R bull Cha pter 1 Money Matters

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 12: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

3 Use the spend ing jou rna l be low to get a better sense of

where you a re spend ing you r money

bull Li st the items you buy th is week i n the tab le bull You may wish to i nc lude items that other peop le buy

for you bull For each day d raw a l i ne across the tab le below the

last item you l i st Th is wi l l show where one day ends and the next day beg i ns

Cheek Your Understandin Li st 3 reasons for tracki ng you r spend ing

1

I cou ld use a spreadsheet to set u p my spend i ng

jou rn a l

2 3

1 1 Where Does I t Go bull M H R 5

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 13: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Skills Practice 2 Place Value and Rounding

The value of a digit in a number depends on its place in the number The table shows the place value of the digits in the number 123456

1 Circle the name of the place value of the underlined digit in each number a) 25 tens ones tenths b) 1 5 hundreds tens ones

c) 1265 tens tenths hundredths

d) 6 0 tenths hundredths e) 0 59 ones tenths f) 32 8 tenths hundredths thousandths

Name

Food for Thougttt Focus rou nd i ng money va lues

1 There are 4 quarters in 1 dol la r

a) Shade _ of a do l l a r 2

1b) How many cents are i n 2

of a do l l a r

3 You buy items that cost $3 25

$ 0 28 and $ 2 1 5 What i s

t h e tota l cost o f these items

before tax

2 a) Write the va lue of the

money shown i n cents and

i n do l l a rs

cent $

b) If you use a ca lculator what

wi l l the d isplay show

4 Cou nt by 50 cent Use do l l a r

notation

$0 00 1 $ 1 00

$ 1 50 $ 2 00

$ 3 50

1 $ 5 00

bull

bull ()0Q)L0cJc

1

()cQ)

2

()Q)c0

3

()ccQ)

4

()c 0Q)L0cJc

5

()c 0cnJ()J0c

6

tens hundreds

6 M H R bull Chapter 1 Money Matters

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 14: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

To round a number look at the digit to the right of the place value to which you are rounding If the digit is 5 or more round up If the digit is less than 5 round down

116 the nearest ten is 150 This is the Since 6 greater than 5 round the tens middot place 4 up to 5

45r the nearest tenth is 4520 This is the Since 3 less than 5 the 2 stays the tenths place same

2 Underline the tens digit Round to the nearest ten

a) 36 b) 162 c) 105 3 Underline the hundreds digit Round to the nearest hundred

a) 732 b) 675 c) 1825 4 Underline the tenths digit Round to the nearest tentn

a) 037 b) 7455 CJ 1523 s Underline the hundredths digit Round to the nearest hundredth

a) 1212 b) 3427 c) 0351

With money you-often round to the nearest dollar If the number of cents is 50cent or more round up

$000

$050 $100

If the number of cents is less than 50cent round down $735 rounded to the nearest dollar is $700 $2486 rounded to the nearest dollar is $2500

6 Round to the nearest dollar a) $548 d) $999

b) $297 c) $085 e) $129 f) $1498

Name

bull

bull bull

middot is

is

Round up Add 1 to the number in the place va l ue to which you are round ing Make the d ig its to the r ight of it 0 Round down Do not change the number in the place val ue to which you are round ing M a ke the d ig its to the rig ht of it 0

middotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddot middot middot middot middot middotmiddot middot middotmiddot middot middotmiddot middotmiddot middot middot middotmiddotmiddotmiddotmiddotmiddot

bull bull

- ----------_-__

bull

1 2 Food for Thought bull M H R 7

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 15: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) Frozen dinner $397

d) Broccoli $079

f) Orange juice $299

N a me

Rounding Prices

Remember to record a ny purchases you make today i n

your spend i ng journal on page 5

bull Melissa is picking up a few groceries on her way home bull As she puts items into her shopping cart she rou nds the

prices to the nearest do l l ar bull Why mig ht Melissa do this

1 The tab le l ists the items Me l i ssa puts i nto her basket

Rou nd each price to the nea rest do l la r

a) Ca nned peaches

c) Bag of oranges

e) Ju ice boxes

$ 1 9 7

$ 2 49

$ 1 1 9

2 Me l issa d iscovers that she has on ly $ 1 0 with her Ci rc le

a g ro u p of items i n the ta b le that she ca n afford to buy

3 You a re g iven $40 to buy some g roceries As you put

items i nto the ca rt how wi l l you decide how many you

ca n buy

8 M H R bull Cha pter 1 Money Matters

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 16: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b)

d)

f)

h)

j)

Name

4 Some peop le est imate how m uch they spend by fi rst

rou nd i ng prices to the nearest do l lar C irc le 10 foods i n a

grocery flyer Write each food and its price i n the tab le

Rou nd each price to the nea rest do l l ar

a)

c)

e)

g)

i)

5 Suppose you put the items from 4 into your cart in the

order that you selected them

a) Draw a l i ne across the ta b le when you have

spent a bout $ 1 0

b) Draw another l i ne across the ta b le when you have

spent a bout $ 1 5

l4 Cheek Your Undersfandin Exp l a i n how to rou nd to the nea rest do l l a r

1 2 Food for Thoug ht bull M H R 9

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 17: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

tJrtlltA J jtfice

GroceryLmiddot 1St 6r

Name

Shoppin on a Bud et Focus rou n d i ng money va l ues esti mati ng budget ing

1 Cou nt by 50 cent up to $ 4 0 0 Use

do l l a r notation

$0 50

1 $ 4 00

3 a) Shade in of the $20 b i l l

shown

$20

1 b) How m uch is of $20

4

2 You purchase the fol lowing items

Round each amount to the

nearest do l l ar Estimate the tota l

Ice crea m $3 97

Crackers $ 1 47

Ju ice $ 2 29

Total

4 Write the a mount of money

shown i n cents and i n do l l a r

notation

Rounding and Estimating Prices

bull You go to the g rocery store to pick up the things on you r g rocery list

bull You have a budget of $15

What is a budget

ft)ctJohe

1 0 M H R bull Chapter 1 M oney Matters

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 18: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

1 Fi nd each item from the g rocery l i st in a g rocery store

flyer Write its price i n the ta b le i n 2

2 Round each price to the nea rest do l l a r a nd keep a

ru n n i ng tota l

Total

3 Did you spend more than $ 1 5

YES NO

4 a) Why is it he lpfu l to keep a ru n n i ng tota l when

shopp ing on a budget

b) When e lse m ight you wa nt to keep a ru n n i ng tota l of

a mou nts

Why

5 How can comparing prices he lp you when shopping on a budget

1 3 Shopp ing on a Budget bull M H R 1 1

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 19: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

6 You have $ 40 to spend at the g rocery store In the

ta b le l i st items that you r fa m i ly often buys Comp lete

the ta b le Try to spend as m uch of the $ 40 as you ca n

1 2 M H R bull Chapter 1 Money Matters

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 20: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

7 Name

Look th roug h severa l d ifferent g rocery flyers

a) What items seem to be the most expensive Why do

you th i nk th is is so

b) What items seem to be the least expensive Why do

you th i nk th is is so

c) Pick one item that is l i sted in more than one flyer Com pa re the prices for th is item Wh ich store is less

expensive and by how much

d) Is th is store less expensive for other items that a re

l i sted i n more than one flyer G ive some exam ples

to su pport you r answer

Cheek Your Undersfandin Expl a i n how to keep an a pproxi mate ru nn ing tota l

1 3 Shopp ing o n a Budget bull M H R 1 3

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 21: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Skills Change

When start at the amount of the They count amounts until they reach the amount given by the customer As they count they give the customer the

required coins

1 Suppose the amount of your bill $220 You give the cashier $500 The cashier might return your change like this

------- cfF bi l l $22sect) 3 quarters $300

How the out of quarters

--------

Name

Makin Chan e Focus esti mating and ca lculating change

1 Use p ictu res or words to

descri be a combi nat ion of

co ins you cou ld use to make

$3 85

3 Su btract

a) 1 45 b) 1 3 25

- 1 40 - 1 0 05

2 Cou nt by 5 cent to com plete the pattern

30 cent 3 5 cent 40 cent

4 M iche l le spends $ 2 5 49 on

g roceries Rou n d her g rocery

b i l l to the nearest do l l a r

Practice 3 Returning

cashiers return cha nge to customers they often

bill upward to co nvenient

is

i s $2 25 1 n icke l

1 toon ie $500

might cashier return the cha nge if he ran

14 M H R bull Cha pter 1 Money Matters

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 22: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

2 The amount of your bill $310 You give the cashier $500 Complete the table to show how the cashier might return the change

cfhe io)

dimes

$500

3 Work with a classmate to practise counting out the change for each bill

b) $356

d) $077

$500

$100

Name

is

------- - --- ---- -- t b i l l i s $3

1 n icke l- -- ------ - --- ------ ----

a) $ 1 26

c) $5 20

$2 00

$ 1 0 00

Estimating and Calculating Change

bull Part of your grocery bi l l is shown to the rig ht

bull You give the cashier two $20 bi l ls

1 a) Round the tota l to the nea rest do l l a r

Record any purchases you

make today in your spend ing journa l

on page 5

b) Esti mate how much change you shou ld get back

c) How d id you determ i ne you r est imate

1 4 Making Change bull MHR 15

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 23: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) $1349 $2000

d) $1230 $1400

Name

2 Esti mate the a mount of change you wou l d get back for

each of these p u rchases

a) $6 9 1 $ 10 00

c) $32 3 4 $ 40 00

e) $22 5 4 $25 00

3 The chart shows severa l items from a g rocery store flyer

Frozen orange juice

12-pack of water Pasta sauce Soup Ketchup

Cheese

$088 $288 $297 $147

$297

$444

Crackers $187

Pita bread $177

Lettuce $075

Celery $175

Bag of apples $397

Laundry detergent $1497

a) Joh n buys some of the

a bove items Complete

Johns recei pt

b) Rou nd the cost of each

item to the nea rest do l l a r

Write these a mou nts on

the rece i pt

orange juice $088 water ketchup laundry detergent

c) Ca lcu late the tota l of the rou nded va l ues

d) If Joh n g ives the cash ier $30 estimate the amount of

change he shou ld get back

e) Ca lcu late the actua l a mo u nt of cha nge he w i l l get

16 MHR bull Cha pter 1 Money Matters

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 24: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) Crackers $250

d)

Name

4 You have the fo l lowi ng coi ns i n you r pocket

For each p u rchase shown in the ta b le bull List the co ins you g ive the cash ier bull Ca lcu late what you r coi ns add u p to bull Determ ine how m uch change you get

a) Ju ice $ 1 1 5 1 loon ie

2 d i mes $ 1 20 $005 or 5 cent

c) Bread $ 1 9 5

e)

5 From a g rocery store flyer choose 2 more items to p u rchase Add them to the tab le and com plete the

tab le

Cheek Your Undersfandin Someti mes you lose track of how m uch you a re spen d i ng Then you have to decide what items to retu rn For exa m ple the tota l a mount of you r b i l l i s $22 1 9 You on ly have $20 0 0

1 Ci rc le the price of the item you wou ld return

$ 1 29 $2 29 $ 1 20

2 How m uch change wou ld you get back now

1 4 Making Change bull M H R 1 7

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 25: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

means 75dego means

100 1 Each grid contains squares

Shade the number squares that represent each percent a) 10dego b) 5dego

c) l

111111111111111111111 2

---100

---

To change percent a decimal divide by 100 45dego = 45 7 100

= 045 3 Change each percent to a decimal

a) 35dego b) 16dego c) 80dego 4 Complete the table to practise converting between percents

decimals and fractions

b) 75dego

d) 18 10

Name

Skills Practice 4 Percent

bull Percent out of 100 bull 75 out of 100 or 75

100in of

Write each percent as a fraction out of 100

a) 50dego = b) 62dego = 100

bull a to

30a) 30dego 100

c) 0 40

18 M H R bull Cha pter 1 Money Matters

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 26: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot middotmiddotmiddot middot

15 Tax Not Ineluded Focus ca lculating percent esti mati ng tax

1 Ca lcu late

a) 10dego o f 65 =

b) 1 0dego of 32 =

c) 1 0dego of 1 40 =

3 a) How many tenn i s ba l l s

a re shown

b) You g ive ha l f of thes e to a

friend How many does

you r friend get

Estimating Tax

2 Descri be a q u ick way to fi nd

1 0 dego of a n u m ber

4 Eva luate

1a) - of 2 4 =

2 1

b) - of 18 = 2 1

c) - of 60 = middot 2

1d) - of 1 3

2 =

e) 1 - of 1 0 50 2

=

What d oes taxable mean bull Most items that you purchase are taxable

bull I n some situ atio n s you may need to estimate the tax before you pay

1 a) Decide whether each of the items be low shou ld be

taxa b le or not taxa b le C i rc le you r a nswer

Bread taxab le not taxa b le

Skateboa rd taxa b le not taxa b le

M i lk taxa b le not taxa b le

Fast food taxa ble not taxa ble

b) Write you r reasons for the choices you made

1 5 Tax Not Included bull MH R 1 9

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 27: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

2 In Onta rio you pay H ST on most items you purchase

a) H ST sta nds for

b) The cu rrent H ST rate is 0o

c) Shade in th is amount of the h u n d reds chart

3 a) The H ST on $ 1 i s

b) The H ST on $ 2 i s

c) The H ST on $ 3 is

4 a) The H ST on $ 1 0 is

b) The H ST on $20 is

c) The H ST on $30 is

5 a) The H ST on $ 1 00 i s

b) The H ST on $200 is

c) The H ST on $300 is

bull You want to buy a shirt that costs $12 99 You have $1500

6 How m i g ht you esti mate the H ST on $ 1 2 99

7 Wi l l you have enou g h money to pay for the shirt once

H ST is added

YES NO

Show how you know

20 MH R bull Cha pter 1 Money Matters

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 28: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

Round the price to a conven ient a mount $ 50 00

fi n d i ng

of $ 5 =

Two methods for estimating HST follow

Suppose an item costs $ 48 99

Method 1 Add 1 0deg1o a n d 5deg1o

STEP 1

STEP 2 Determ ine 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 5deg1o of the rou nded price by

of the a mo u nt i n step 2

$ 2 50 $2 50

STEP 4 Estimate the HST by add ing you r answers

from step 2 and step 3

$ 5 00 + $2 50 $7 50 $ 7 50 =

Method 2 Add 10deglo and 1 deglos

STEP 1 Round the price to an easy amount $ 50 00

STEP 2 Determ i ne 10deg1o of the rou nded price $ 5 00

STEP 3 Determ ine 1 deglo of the rou nded price

1 deglo o f $ 5 0 = $0 50 $0 50

STEP 4 Add the a mou nt from Step 2 a nd the

req u i red a mou nts from Step 3 to fi nd

the H ST

If the H ST rate is 1 3 deglo you need 3 x 1 deglo of

the price

$5 00 + $0 50 + $0 50 + $0 50 = $6 50 $6 50

8 a) Use Method 1 to esti mate the H ST on the sh i rt i n 6

b) Use Method 2 to esti mate t h e HST on t h e sh i rt i n 6

c) W h i c h method do you prefer

1 5 Tax Not Inc luded bull MH R 2 1

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 29: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) T-shirt $899

d) Video

b)

d)

Name

9 Esti mate the H ST you wou ld pay for each item l i sted

below

a) Head phones $39 1 5

c) Shoes $39 79

game $79 25

10 Choose 5 items from a flyer Est imate the HST you

wou ld pay for each ite m

a)

c)

e)

lJ Cheek Your Understanding Expl a i n how to estimate the H ST on an item priced at $ 1 19

2 2 MH R bull Chapter 1 Money Matters

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 30: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

Name

16 Caleulatin HST Focus ca lcu lating percent ca lcu lati ng tax

1 Write each percent as a

deci ma l

3

5

a) 35deg1o =

b) 1 5deg1o =

c) 8deglo =

d) 7deglo =

middotmiddotmiddotmiddotmiddotmiddot

a) How many sq uares are

shaded on the h u n d reds

cha rt shown

b) What percent of the cha rt

is shaded

c) What fract ion of the cha rt

i s shaded

Esti mate 1 5 deg1o of each a mou nt

a) $63 99

b) $75 40

2 I n math the word of mea ns

Ca lcu late

a) 1 0deg1o of 1 8 00 =

b) 30deg1o of $25 00 =

c) 50deg1o of $ 1 3 00 =

4 Est imate 1 5deg1o of $28 99 by

fo l lowi n g the steps

6

a) Rou nd $28 99 to the

nea rest do l l a r

b) Find 1 0deglo of the rou nded

amount

c) Fi nd 5deg1o of the rou nded

amount

d) Add b) a nd c)

Eva l uate

a) $6 8 4 b) $ 4 20

+ $ 1 03 + $0 63

c) $32 40 d) $ 48 99

+ $ 4 86 - $ 7 3 5

1 6 Ca lcu lati ng H ST bull MH R 23

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 31: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b)

d)

Name

Estimating and Calculating HST

bull You have $30 to spend at the store

1 You know you ca nnot buy a nyth ing that costs

$30 00 beca use of the tax that w i l l be added

to the price Ci rc le 5 items l i sted below that

you th i nk you cou ld afford to buy

Record a ny purchases you

make today in your spend ing journa l

on page 5

DVD $26 20 Sweatsh i rt $27 99

Webca m $2 4 00 T-sh i rt $23 1 0

CD $25 20 Jea ns $29 8 5

Video game $28 50 Jacket $27 1 0

2 In the fo l lowing ta b le record each item you ci rcled

Esti mate the amount of H ST for each item

a)

c)

e)

3 Which is the most expensive item you cou ld afford to buy based on

you r esti mates

24 MH R bull Cha pter 1 Money Matters

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 32: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b)

d)

UNDER OVER

UNDER OVER

cost of an item you need

Name

bull In Ontario to determine the total to add the HST to the price

Example

A T-sh i rt costs $ 1 2 99

Ca lcu late the H ST you wou l d pay Then ca lcu late the tota l cost

Solution

Assu m i ng the H ST rate i s 1 3dego ca lcu late the tax us ing one of the fo l l ow ing expressions

- 1 2 99 X 0 1 3

- 1 2 99 X 1 3 + 100

- 1 2 99 X 1 3dego

You r ca lcu lator shou ld d isp lay 1 688 7 Rou nd the H ST to $ 1 69

The tota l cost of the T-sh i rt i s $ 1 2 99 + $ 1 69 = $ 1 4 68

4 List the items you chose i n 1 i n the ta b le below bull Ca lcu late the a mou nt of tax on each item bull Ca lcu late the tota l price of the item bull Is the price of the item less than $30 or g reater than

$30

a) U N D E R OVER

c) U N DE R OVE R

e) U N D E R OVER

1 6 Ca lcu lati ng HST bull MHR 2 5

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 33: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

d)

Name

bull You have $50 00 cash to spend

5 a) You decide to buy 2 T-sh i rts each for $ 1 2 89 Ca lcu late the tota l p rice i nc l u d i ng tax

b) I f you g ive the cash ier $50 00 how m uch change

shou ld you receive

c) Draw the co ins and b i l ls you m i g ht receive

Cheek Your Undersfandin Go back to 9 on page 2 2 Check you r esti mates i n the

ta b le by ca lcu lati ng the tax

c)

Which estimate is closest Why

26 MH R bull Chapter 1 Money Matters

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 34: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

1 7 My Spending Focus budgeti ng and persona l spend ing

1 Write down the sequence of

keys you wou l d use on you r

ca lcu lator to fi nd 20dego of 4 5

3 Write each fract ion a s a

percent

4 a)

20

b) 12

50

22 c)

25

2 Show how you ca n make

$ 1 1 5 us ing exactly 8 coi ns

4 Ma la gets a n a l l owance of $40

each month She spends $ 1 5

of i t eati ng out What fraction

of her a l lowance does she

spend eati ng out What

percent i s th is

Tracking Your Spending

bull Aaron kept track of h is spending for one week bull He recorded these resu lts

Amount Spent $2 26 $2 65 $ 5 20 $0 00 $6 54 $3 45 $22 56

1 How much d id Aaron spend i n tota l d u ring the week

2 Does Aa ron seem to spend more on weekdays

(Monday to Friday) or on weekends (Satu rday a nd

Sunday)

3 On what day d id Aaron spend the most money

1 7 My S pend ing bull MH R 27

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 35: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

I

Dining out (lunchesdin ners)

Clothing

$1319

$999

Name

4 Aa ron org a n ized h i s p u rchases i nto categories to he l p see where he was spend ing h i s money

Snacks $ 5 9 5

Enterta i n ment

( movies v ideo renta ls etc ) $ 1 1 57

M isce l la neous $ 1 96

Total

a) Write the tota l i n the ta b le Aarons Spending

Miscellaneous 5 kb) In wh ich category does Aa ron nac s 7olc0 spend the most money 13dego

Cloth in 22dego Dining out

(lunchesdinners)c) Did you read th is i nformation 30degofrom the ta b le or the g raph

Entertainment(movies video rentals etc)

d) What does the word 28dego miscellaneous mea n

e) Why do you th i n k Aa ron i ncl uded m isce l la neous as a category

28 MHR bull Chapter 1 Money Matters

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 36: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

bull At this poi nt you should have one weeks worth of spend ing

recorded i n your persona l spending journa l on page 5

5 Loo k at you r spend ing by day

a) Com plete the cha rt by record i ng the tota l a mo u nt of

money you spent each day

b) On what day d id you spend the most money

Exp l a i n why

c) Do you th i n k th is was a typ ica l week of spend i ng

for you

YES NO

d) Did you spend more or l ess tha n you norma l ly

wou ld

MORE LESS

Exp l a i n why

1 7 My Spen d i ng bull MH R 29

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 37: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Total

Name

6 Look at the types of th i ngs you spend money on Try to g roup you r purchases i nto d ifferent categories

a) If you conti nue to spend money the same way a l l

year how m uch wi l l you have spent Does th is tota l

surprise you

b) What cou ld you have boug ht i f you h a d saved $ 1 0 per

week for one yea r

14 Cheek Your Undersfandin Is there a nyth ing you th i n k you shou ld change a bout you r persona l spend i ng hab its

YES NO

Exp la i n why or why not

30 MH R bull Cha pter 1 Money Matters

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 38: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

18 Items on Sale Focus determi n i ng d iscou nts and percents

1 When ca lcu lati ng tax on a n

item you r ca lcu lator reads

the fo l lowi ng amou nts

Rou nd each a mount to

2 decim a l p laces

a) 3 2205

b) 2 1 35 7

c) 99 4 1 74

d) 225 9887

3 Find 10dego of each a mount

a) $25 00

b) $68 00

c) $52 60

2 You d ri n k __ of a can of j u ice 4

Shade the amou nt of j u ice that

is left in the can

4 Rou nd each a mount to the

nea rest do l l a r

a) $ 1 2 59

b) $65 23

c) $22 67

Calculating Discounts

What is a

bull In a cloth ing store you see a s ign that reads 25dego off

1

discount

a) Shade i n 25dego of th is g rid of 100 sq uares

b) What is 25dego as a fract ion How cou l d you write the d iscount as a fract ion

1 8 Items o n Sale bull MH R 3 1

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 39: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

How d o you fi nd the sale price of an item

Name

2 The sale price of an item is the

o rig i na l price - d isco u nt

a) If a coat costs $100 how m uch i s the d iscount

25dego of $100 =

b) Ca l culate the sa le price of the coat

Sa le Price = Ori g i n a l Price - D iscount

= $ 1 00 -

bull You have $20 cash with you bull Ca n you afford the sh i rt

3 The ori g i n a l price of the sh irt i s $2 5 99 Ca lculate the

sa le price

a) Ca lcu late the a mou nt of the d iscount

D iscount 25dego of $25 99=

b) Ca lcu late the sa le price of the sh irt

Sa le Price Ori g i n a l Price - D isco u nt=

= $25 99 -

=

c) Ca lcu late the H ST

X oo =

d) Ca lcu late the tota l cost of the sh i rt i nclud i ng tax

e) Ca n you afford the sh irt

YES NO

32 MHR bull Chapter 1 Money Matters

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 40: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

111111111111111111111

111111111111111111111

Name

4 Another sh i rt has a n ori g i n a l price of $24 00

It is I abel led 20dego off

a) Shade 20dego of the g rid

b) What percent is u nshaded

Shade this percent of the g rid below

bull Th is represents the sa le price of the sh i rt

c) Ca lcu late 80dego of $24 00

d) Ca lcu late the HST

e) What is the tota l pri ce of the sh i rt

f) Can you afford th is sh i rt w ith you r $2000

YES NO

18 Items on Sa le bull M H R 3 3

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 41: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) 50dego

d) 10dego

f) 20dego

b) Sweater $2749

N a me

5 Choose 6 i tems from a flyer Pract ise you r ski l ls i n

ca lcu lati ng d iscou nts by com pleti ng the ta b le

a) 40dego

c) 25dego

e) 1 5dego

Reading Discounts as Fractions BOGO bull Whi le wa lking through the ma l l you notice a store Buy One Get 0

with this sig n in the window

21 off

6 Esti mate each sa le price at _ off 2

a) Ru n n ing shoes $ 59 99

7 How cou ld you esti mate the sa le price of items that a re

off 4

34 MH R bull Cha pter 1 Money Matters

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 42: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) Fleece shirt $2399

b) Jacket

d) Socks (2 pairs) $460

b) 25dego middot middot middotmiddot middotmiddot middotmiddot middot middot middotmiddot

Name

8 Esti mate each sa le price at off 4

a) CD $ 1 9 99

9 In another store items on one table are on sale for off 4

a) A sweatsh i rt is reg u la rly priced at $28 00 What is

the amou nt of the d iscount How d id you get your

answer

b) What is the sa le price of the sweatsh i rt

c) Determ i ne the d iscount a n d sa le p rice of each of

these items at off 4

a) S h i rt

b) Pants

e) Sweater

$42 00

$39 99

14 Cheek Your Undersfandin How cou l d you est imate each of these d i scou nts w ithout us ing a ca l cu lator

a) 30dego

1 8 Items on Sa le bull MH R 3 5

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 43: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

Comparin Apples to Apples Focus purchasing m u ltip le items ca lcu lating u nit costs

1 a) D raw q u a rters to ma ke

of a do l l a r + of 2 4 a do l l a r

b) What fraction of $ 1 00 is

th is a mount of money

3 Da n ie l le bri ngs i n g ra no la

bars i n boxes of 6 to share

with her c lass She has

24 peop le i n her c lass

How many boxes does she

need

2 Use you r a nswer to 1 to he lp 1 1

add - + - 2 4

4 You p u rchase school su pp l ies

tota l l i n g $ 1 3 95 How m uch tax

wi l l you pay on these items

Buying Multiple Items

bull The student cou nc i l is org a n izi ng a dance bull For the snack bar they need to buy some drinks and snacks

12 Popcorn Bags

8 Juice Boxes $2 39

24 Water Bottles 5 Gra nola Bars $7 20 $388 $3 30

1 They m ust fi rst determ ine how many cases of each item to buy

They need 40 ju ice boxes Each case conta ins 8 boxes

Number of Tota l Amount Number in

Cases Needed One Case Needed

36 M H R bull Cha pter 1 Money Matters

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 44: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) Water bottles 100

d) Granola bars 60

Water bottles $388

Granola bars $330

Tax

Name

2 Before buy i ng the i tems the students g ive the

stu dent cou nc i l treasu rer a n est i mate of the money

they need Com plete the ta b le to est i mate the cost of

each i te m

a) Ju ice boxes

c) Popcorn bags

40

24

3 Esti mate the tota l cost i nc l u d i ng H ST

4 Use the i nformat ion from the a bove ta b le to he l p

determ i n e the actua l a mo u nt the students w i l l spend

Com plete the fo l lowi ng ta b l e

Ju ice boxes $2 39

Popcorn bags $7 20

What is a Subtotal subtotal

Total

1 9 Com paring Apples to App les bull M H R 37

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 45: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

5 Is you r est imate of the money needed in 3

reasonab le How close a re you to the actua l tota l

6 The students gave the cash ier $ 1 00

a) How m uch change shou ld they expect back

b) Show the comb ination of coins and b i l l s they m i g ht

rece ive

Comparing Unit Prices

1 At the g rocery store the mem bers of the stu dent

cou nci l notice that they have a choice to make when

p u rchasi ng pop Wh ich is the better buy Expla i n how you know

38 MHR bull Cha pter 1 Money Matters

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 46: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

To calculate unit price

Unit Price Price of All the Items + Number of Items

Name

2 Besides price what other th i ngs m ight peop le

consider when choosi ng items to buy

bull One way to compare prices is to ca lcu late the unit price of a n item

bull U nit price is the price for just one item

What is a unit price

Example

A box of 10 penci ls costs $2 50

Determ ine the u n it price

Solution

The u n it pri ce is the price of one penci l

Price of One Penci l = Price of Box of Penci ls -- N u m ber of

Penci ls i n Box

= $2 50 -- 10

= $0 25

The price of one penci l is $0 25 or cent

The u n it price is $0 2 5 per penci l

3 Ca lcu late the u n it price for each item

a) A package of 10 pens costs $3 20

b) A package of 3 ten n is ba l ls costs $4 50

c) A bag of 12 ora nges costs $3 48

1 9 Comparing Apples to Apples bull M H R 39

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 47: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Option

Package of 1 0 juice boxes for $2 39

Name

4 The student cou nci l fi nds some opt ions for j u ice boxes

For each option determ i ne the u n it pri ce ( price of one j u ice box)

Rou nd to the nea rest thousan dth mea ns rou nd

to 3 decima l p laces

Option 1

Package of 8 j u ice boxes for $1 99

2

Option 3 Package of 30 j u ice boxes for $6 89

5 Which opt ion i s the better buy H ow d o you know

6 Why do you th i n k it is i mporta nt to look at more than

just 2 decim a l p laces

7 Is the lowest u n it price a l ways the better buy What

e lse shou ld the student cou nci l cons ider when choos ing

a n option

40 M H R bull Chapter 1 Money Matters

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 48: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) 1 pack of gum for $089

d) 8 granola bars for $279

4 packs of gum for $3 49

12 granola bars for $4 23

Name

8 For each of the items in the tab le 2 opt ions a re g iven

Ca lcu late the u n it price for each opt ion

C i rc le the lowest u n it price for each option

a) 1 0 penci l s 1 2 penci l s for $2 89

for $ 2 49

c) 1 chocolate ba r 12 choco late bars

for $ 0 97 for $8 49

e) 1 ca n of sou p 1 0 ca ns of sou p for

for $0 80 $6 49

Cheek Your Undersfandin Descri be i n you r own words how to determ ine the better buy

1 9 Com paring Apples to Apples bull M H R 4 1

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 49: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

change discount percent sale pri ce HST unit price

$2 59 $0 82 $3 54

b) $ 1 2 43 $15 00

Name

Chapter 1 Review

Fill in each blank in 1 to 6 with one of these words

1 The money the cash ier g ives you back i s ca l led

2 mea ns out of 1 0 0

3 When there is a sa le an a mou nt of money su btracted from the

ori g i na l price of an item is ca l led a

4 = Ori g i n a l Price - D iscount

5 The price for one item is ca l led the

6 i s added to the prices of items that a re taxa b le

7 Rou nd each amount to the nea rest do l l a r

a) $ 1 87

c) $3 33

b) $ 1 2 08

d) $25 78

8 Ada m made purchases for the fo l l owi ng a mou nts a) Round each a mou nt to the nea rest do l la r

$ 1 44 $9 22 $2 1 9 $4 29

b) Use the rou nded va l ues to estimate the tota l of his purchases

9 Estimate the amount of cha nge you wi l l get for each purchase

a) $2 23 $ 3 00

42 M H R bull Chapter 1 Money Matters

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 50: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) Soap $1 89

b) Jeans $48 23 25dego

b) Watch $6000 off 4

b) Socks $3 97 for 6 pai rs

$198 for 2 pairs

10 You r bi l l at the g rocery store comes to $34 40 Draw the b i l l s a nd

co ins you cou ld receive as cha nge

$20 $20

Name

1 1 For each item esti mate the a mount of tax you wi l l pay

Then esti mate the tota l pri ce

a) Toaster $29 45

1 2 For each item determ i ne the sa le price

a) Portab le stereo $76 89 50dego

13 For each item determ ine the tota l cost

a) Sweater $34 99

14 For each item fi nd the u n it price of each option

C i rc le the lowest u n it price

a) Tissues $ 5 97 for

6 boxes

Cha pter 1 Review bull M H R 43

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 51: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

l ruler (30 em)

l package of graph paper $2 78

Name

Task Stoekin Up for Sehool

bull Shi ma has just fi n ished her first week at school bull She has made a l i st of thi ngs she wi l l need for the semester

bull At the store Shi ma beg ins to fi l l her shopping basket

bull She places the fo l lowing items i n her basket

1 package of 1 0 pens $ 3 89

$ 1 29 2 erasers $0 88

1 About how much money has S h i ma spent so fa r

2 What items does she have left to fi nd

bull For the rema i n ing items she finds more

tha n one option from which to choose

bull As you complete this activity you w i l l

help Shi ma ma ke good choices a bout

what to buy

Do I have enoug h money How m uch

change wil l I get

44 M H R bull Cha pter 1 Money Matters

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 52: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

2 Linear Measurement Metrie

Uses of metric measu rement bull Some sports use metric u n its

For exa m ple Olym pic races a re 100 m 200 m 400 m 800 m or 1 500 m

I n the jave l i n throw the world record for women i s 72 28 m

bull Dista nces between Canad ian cit ies a re measu red i n ki lometres

For exa m ple it is a bout 90 km from Toronto to Ba rrie bull Heig ht is g iven i n cent imetres on a d rivers l i cence bull Most of the ti me you measu re lengths us i ng a cent imetre ru ler o r

measuri n g ta pe

1 Where e lse i s metric measu rement used

2 Before redecorati ng you r room what a re some th i ngs you shou ld measu re

Cha pter 2 Linear Measurement Metric bull MHR 45

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 53: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Skills Practice 5 and Dividing

1 Evaluate

a) 43 x 1 = b) 43 X 10 = c) 43 x 100 =

d) 0 5 X 1 0 =

g) 0 75 X 10 =

e) 0 5 x 1 00 =

h) 0 75 X 100

f) 0 5 X 1000 =

i) 075 X 1000 =

2 Describe the pattern when multiplying by powers of 10

3 Evaluate

a) 800 + 1 = b) 800 + 10 = c) 800 + tOO =

d) 912 + 10 = e) 912 + 100 = f) 912 + 1000 =

g) 75 + 1 0 = 75 + i) 75 + 1000 =

4 Describe the pattern when d ividi ng by powers of 10

Name

21 Metrie len ths and Referenees Focus measu ring lengths approximating measu rements

1 Write each fract ion i n deci ma l 2 Last n ig ht the 4 deg Cform tem peratu re was

a) - S deg C Th is morn i ng 3 deg C1

2 the tem perature i s 2 deg C

1 3 o C What was the 1 deg Cb) 4 change i n 0 deg C 1 tem peratu re c)d- = - 1 deg C

1 0 -2 deg C

d) 2 = 10 - 3 deg C

-4 deg C e) _l_ =

1 0 - s o c -6 deg C

Multiplying by Powers of Ten

=

middot

h) 1 00 =

46 MHR bull Chapter 2 Linear Measu rement Metric

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 54: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

Measuring Metric Lengths

bull Metric lengths and dista nces are usua l ly measured in metres (m) centimetres (em) mil l i metres ( mm) or k i lometres (km)

1 Arra nge these 4 u n its from sma l l est to l a rgest

bull Converting from one metric u n it to another wi l l be easier for you if you memorize these facts

1 em = 10 mm

1 m = 100 em

1 km = 1000 m

2 Convert each measu rement to the u n it specified The

fi rst one i s done for you

a) 2 em = 20 m m b) 2 m = em

c) 2 km = m d) 4 km = m

e) 8 m = em f) 0 5 em = mm

g) 0 5 m = em h) 500 m = km

i ) 300 em = m j ) 1 500 m = km

3 Circ le the better measu rement

a) The length of th is book is a bout 30 em 30 mm

b) The d iameter of a CD is a bout 12 mm 12 em

c) The length of a ca r is a bout 4 m 40 m

d) The width of a fi ngerna i l is a bout 1 mm 1 em

4 Write the metric u n it that you m i g ht use to measu re

each of the fo l l owi ng items The fi rst one is done for

you

a) a floor ti le em b) length of a penci l

c) a soccer fie ld d) d ista nce to Ca lgary

e) length of a n ant f) width of a pen t ip

2 1 Metric Lengths and References bull MHR 47

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 55: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

7 1 0

----------

b) ___ _

--------shy

__

h) ______ _

b)

d)

f)

h)

N a m e

5 Measure each l i ne seg ment shown below us i ng a metric ru ler Write the measu rements in the ta b le The fi rst

one i s done for you

a)

c)

d)

e) _

f)

g)

i)

c)

g)

i)

6 A penc i l measu res 1 3 4 em i n length

What i s the length of the penci l i n m i l l imetres X 1 0

em m m

-___ 7 A com pact d isc has a th ickness of 2 m m What i s the th ickness of the C D i n cent imetres

8 Without us i ng a ru ler d raw a l i n e that is a bout each

g iven l ength

a) 1 em

b) 2 em

c) 5 em

d) 10 em

e) 5 m m

9 Measu re each l i ne you d rew i n 8 How c lose were you

48 M H R bull Cha pter 2 Linea r Measu rement Metric

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 56: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

1 0 em

2 m

The length of your foot

Your height

Name

bull Est imat ing d istances is easier if you ca n approxi mate

common measurements usi ng you r body or surround i ngs bull For the fol lowing activity you w i l l need a ru ler and a

measuring tape

10 Com plete the fo l lowing ta b le to co l lect some persona l

references for esti mating metric d i stances

1 m

11 Com plete th is ta b le to col lect more persona l references

for esti mati ng metric d i stances

You r outstretched hand

The length of you r a rm

Cheek Your Understandin How cou l d you use you r co l l ection of persona l references to

esti mate the he ight of the c lassroom

2 1 Metric Lengths and References bull M H R 49

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 57: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

22 Estimatin and Measurin Metrie Len ths Focus l i teracy and esti mati ng and measu ri ng lengths

a) 890 7 1 0 =a) 4 7 3 x 10 =

b) 890 7 100 =b) 4 7 3 X 100 =

c) 890 7 1000 =c) 4 73 x 1000 =

4 There a re 100 i n 1 do l l a r

3 There a re 1 00 i n 1 m

6 The u n it price of a rewritea ble

nearest do l l a r

5 Round each amount to the CD i s a bout $ 1 50 Fi nd the

cost of each n u m ber of a) $4 49

rewriteab le CDs

b) $9 90 a) 2

c) $0 29 b) 3

d) $4 50 c) 1 0

d ) 2 0

e) 1 0 0

f) 200

Estimating Metric Lengths

bull Some of the na mes of the prefixes of metr ic measures are

French in or ig in

1 Match each Eng l ish word with its French eq u iva lent

ten mille

one h u n d red dix

one thousa nd cent

50 MHR bull Cha pter 2 Linea r Measu rement Metric

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 58: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

I centimetres mi l l imetres decimetres

Name

2 Choose a word from the box to The centi metre com plete each sentence correctly and the m i l l i metre a re

very com mon But the deci metre is hard ly ever

used

a) There a re 1 000 i n one metre

b) There a re 100 i n one metre

c) There a re 10 i n one metre

3 Fi l l i n the b la n ks u s i n g the a bbreviations for the

metric u n its

a) 2 m = 200 b) 3000 = 3 m

c) 400 em = 4 d) 4 = 40 mm

e) 2 km = 2000 f) 2 5 = 250 em

g) 1 80 em = 1 8 h) 2 1 mm = 2 1

4 Convert each measurement to the u n its shown

a) 500 em = m b) 6 m = em

c) 1 0 em = m m d) 2 k m = m

e) 1 5 m = em f) 4 5 km = m

5 Use what you know to com plete these sentences

correctly

a) There a re ten i n 1 em

b) There a re two thousa nd in 2 m

c) There a re centi metres i n 8 m

d ) There a re two in 2000 m

abbreviation a short form Exa m ple em is the abbreviation for centi metre

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 1

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 59: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b)

d)

f)

h)

Name

bull Often the greater the d ista nce the less accuracy is needed

For example the d istance from Earth to the moon is 384 000 km Us ing 400 000 km is often good enoug h

bull A sma l ler d i sta nce often req u ires greater accuracy For exa mple the width of a penci l is a bout 8 mm

6 Esti mate the length of each l i ne to the nea rest

centi metre us ing you r persona l references from

page 49 Then measu re the actua l length of each l i ne

The fi rst o n e is d o n e for you

a) a) 5 em 5 8 em

b)

c) c)

d)

e) e)

f)

g) g)

h)

i)i) -

bull It is i mporta nt to be ab le to u nderstand an-d compare measurements with d ifferent metr ic u n its

7 Ci rc le the g reater measu rement

a) 450 m o r 4 5 km

b) 1 m or 1 20 em

c) 2 5 mm or 0 25 m

d) 1 00 m or 0 5 km

e) 300 em or 0 5 m

f) 50 mm or 0 5 em

52 M H R bull Cha pter 2 Li near Measu rement Metric

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 60: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

b) Length of classroom

d) Length of this workbook

f) Diameter of a penny

Name

bull Use the ta b le shown be low to complete 8 to 10

8 Determ i ne the metric u n its that you wou ld use to

measure each Item to be Measured l i sted i n the ta ble

Com plete the U n its col u m n of the ta ble Then stop

9 Use one of you r persona l references from page 49 to

est imate the measurement of each item Comp lete the

Esti mate col u m n of the ta b le Then stop

10 Measure the items us i ng a metric ru ler or a measu ri ng

ta pe Write you r measu rements i n the last col u m n of

the ta b le

a) Heig ht of c lassroom

c) Width of classroom door

e) Th ickness of a loon ie

11 Wh ich persona l reference d i d you use to esti mate the

length of this workbook

Cheek Your Understandin 1 Wh ich persona l reference is easiest to use G ive a n

exa m ple

2 Which persona l reference is most d ifficu l t to use G ive

a n exa mp le

2 2 Esti mating and Measur ing Metric Lengths bull M H R 5 3

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 61: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

23 Thinkin Outside the Box Focus reason ing ca lcu lati ng peri meter measu ri ng round ing

Shade 75dego of the d iagra m

percent

a) __ = 4

b) = 4

3 Convert to the u n its show n 4 a) Esti mate the length o f the

l i ne seg ment shown a) l h = m i n

4 emb) $ 1 2 5 = cent

b) Measu re the l i ne

em

5 Convert to the u n its shown 6 The H ST on a $99 p u rchase

is a pproxi mately a) 2 m 50 em = em

$b) 2 m 50 em = m

c) 5 em 3 mm = em

d) 5 em 3 mm = mm

Calculating Perimeter

1 Fi l l i n the m iss i n g dimensions What are a) dimensions

4 m

8 m

4 m

54 M H R bull Cha pter 2 Li nea r Measu rement Metric

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 62: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

I r---- ---------- -- middot----- --- - --

a_l ivirlfl ______

Name

b) 6 m

5 m

c) 3 m

What is 2 The d ista nce a round the outside of a fig u re is ca l led its perimeter

3 Determ ine the peri meter of each fig u re i n 1

a) m + m + m + m = m

b)

c)

4 Circ le the activit ies i n the box that may req u i re

ca lcu lati ng peri meter

Fra m i ng a p ictu re Cutti ng the lawn

Fi l l i ng a swi m ming pool Insta l l i ng baseboa rd tri m

Pa i nt ing a room Carpet ing a room

Fenci ng in a g a rden Wa l l pa peri n g a room

occupation 5 List 3 occu pations that may req u i re a worki ng work done to earn

knowledge of peri meter

a) _

b)

c)

2 3 Th i n ki ng Outside the Box bull M H R 55

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 63: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Display board

PA spea ker

answers

_______

Name

6 Measu re a nd record the length a nd the width of each

item l i sted in the tab le Round a l l measures to the nea rest centi metre Then ca lcu late the peri meter of

each item

Teachers desktop

Sheet of pa per

Draw a n exa mple 7 Determ ine and l abe l the m issi ng d i mens ions for each of of a n irregular the fo l l owing irregular figures figure

a) 2 m

6 m - 3 m = m

----- 7 m - 2 m = m 6 m

3 m

7 m

b) 1 m

4 m - m = m S m - m = m4 m

1 m

S m

8 Ca lcu late the perimeter of each fig u re i n 7

Remember to a) b) the u n its i n

9 Determ ine a nd l a be l the m iss i ng d i mensions for each of the fo l lowi ng i rreg u l a r fig u res

a) b)

7 m 7 m 1 m

2 m +--3 m

2 5 m

3 m 4 m

1 m 3 m

56 M H R bull Chapter 2 Li nea r Measurement Metric

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 64: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

B to C

D to E

F to G

I H to I

J to K

L to M

N to A

Name

10 Ca lcu late the peri meter of each fig u re i n 9

a) b)

1 1 Ca lcu late the peri meter of the fo l lowing fig u re

1 2 M easu re each s ide o f the fo l lowi ng fig u re to t h e nearest

0 5 em Record the measurements in the tab le Then

ca lcu late the peri meter

A B E F

A to B

c D C to D

E to F

L K H G G to H

J I I to J N M

K to L

M to N

Cheek Your Undersfandin Perimeter Describe how to ca lcu late the peri meter of a fig u re

2 3 Th i n ki ng Outside the Box bull M H R 57

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 65: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Ski lls The diagram represents an overhead view of typica l classroom

The scale of the diagra m SO em

Scates ca n be written

1 sq uare SO em

This means that the length of one side of 1 squa re on the diagram represents SO em inside the classroom

This i s the same as 2 squares for every metre

1 Count the number of squares along the long wall of the diagram squares

This means that the actua l length of the classroom is

7 2 = m

Name

Practice 6 Scale Diagrams

a

is 1 square to

using a colon

2 squares represents 1 m

So 1 0 sq uares represents 10 -- 2 5 m =

58 M H R bull Chapter 2 L inea r Measurement Metric

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 66: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Cou nt the number of squares a long the short wall of the diagram squares

Thi s mea ns that the actua l width of the classroom is

-T- 2 = m

3 Calcu l ate the actua l peri meter of the classroom

4 A table will be placed i n the classroom The ta ble 2 m l ong and 1 5 m w ide

a) Convert these measurements to centimetres

2 m = em

1 5 m em

b) Use the scal e of 1 sq uare 50 em to complete these statements

The length of the table on the diagram i s The width of th e table on the d iagra m i s

squares squares

c) Draw the table to scale somewhere on the diagram Label it neatly

How m a ny sq uares represent 1 m for each of the following scales

a) 1 square 1 m

b) 1 squ a re 25 em

c) 1 square 20 em

d) 1 square 0 5 m

Name

2

middot middotmiddot middotmiddot middotmiddot middotmiddot middot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddot

is

=

5

S ki l l s Practice 6 Sca le Diag ra ms bull M H R 59

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 67: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

I

bull 1

Name

24 Monster Trueks Focus ca lcu lating perimeter us ing sca le d iagrams

Ca lcu l ate the H ST pa id on a p u rchase of $3 1 50 purchase i n 1

0o of $3 1 50 $3 1 50 + $

= $ $=

3 Ca lcu late the peri meter of the 4 What is the peri meter of the fo l lowing fig u re if one sq uare fig u re in 3 if represents one metre

a) 1 square represents 2 m

b) 1 square represents 10 m

Peri meter m=

c) 1 square represents 0 5 m

v le mea n

Redecorating

bull A five-year-o ld boy that you know is getting h is bed room redecorated

bull You have been asked to he lp with the pla n n i n g and the purchase of a br ight ora nge monster truck wa l lpaper border

bull The diagra m of the chi lds room is not to sca le

Wi ndow

4 2 m

Closet

3 6 m door

IWi ndow Door

1 Ca lcu late the peri meter of the boys room

60 M H R bull Chapter 2 Li nea r Measu rement Metric

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 68: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

bull The closet doorway is a pproxi mately 60 em wide bull The door to the bedroom is a pproxi mately 80 em wide bull Each window is a pproxi mately 1 m wide bull The wa l l paper border is to be put ha lfway between the floor

and the cei l i ng It wi l l not cross the doors or the wi ndows )

2 Ca lcu late the d istance a round the room that needs to be wa l l pa pered

Perimeter Width of Width of Width of Width of of room door c loset door window window

=

Distance to be

wal l papered

bull The wa l l pa per border is so ld in 4 5-m rol ls bull I t sel ls for $ 1 2 99 per rol l

3 How many rol ls of wa l l pa per need to be purchased

Distance to be D istance covered wal l pa pered with 1 rol l

Number of who le ro l l s to be purchased =

4 a) Ca lcu late the cost of the wa l l paper

b) Ca lcu late the H ST to be pa id on the

purchase If you need hel p ca lcu lating tax look

back at page 2 5

c) What is the tota l cost of the purchase after tax

2 4 Monster Trucks bull M H R 6 1

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 69: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

oo --

b) Width of room

d) Closet door

f)

Name

bull The customer has five $20 b i l l s i n her pocket

5 a) How many b i l l s shou ld she g ive the cash ier

b) How m uch change shou ld she receive

c) Draw the combi nat ion of b i l l s andor co ins that she

m ig ht rece ive i n change

6 To make an accu rate sca le d iag ra m of the bed room us ing a sca le of 1 sq uare to 20 em ta kes a b it of prepa ration A sca le of 1 sq uare a 20 em is the

1 m = 100 em

em = x 20

sa me as sq uares to 1 m

Assu me that the door to the bed room and each of the

w indows a re located 40 em from the nea rest corner

There is a 20 em space between the 2 doors

Com plete the fo l lowi ng ta b le

a) Length of room

c) Door to room

e) Each wi ndow

Corner to door or window

g) Space between doors

62 M H R bull Chapter 2 Li nea r Measurement Metric

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 70: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

Name

7 On the fo l lowi ng g ri d d raw an accurate sca le d rawing i n

penci l of the bed room You may have to turn the page

s ideways

pj Cheek Your Understandin How cou ld a sca le d iagra m be usefu l if you wa nted to

rea rra nge the furn itu re in a bedroom

2 4 Monster Trucks bull MHR 63

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 71: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

I perimeter scale

Name

Chapter 2 Review

For 1 to 3 choose a word from the box to complete each

sentence correctly

1 The length a nd width of a rectang le a re ca l led its

2 The d istance around the outside of a figure is ca l led its

3 1 square to 50 em is an exa m ple of a

4 Ca lcu late

a) 4 8 1 x 1 0 = b) 4 8 1 X 1 00 =

c) 0 2 5 x 100 = d) 0 25 X 1 000 =

e) 740 -T 1 0 = f) 740 -T 100 =

g) 6500 -T 100 = h) 6500 -T 1 000 =

5 Use u n its or n u m bers to com plete each conversio n

a) 1 em = 1 0 b) 1 m = em

c) 1 km = m d) 4 km = m

e) 8 m = 800 f) em = 5 m m

6 Circ le the g reater measu rement

a) 250 m or 2 5 km b) 1 m or 8 5 em

c) 25 mm or 2 5 m d) 200 m or 0 5 km

7 La bel the m iss ing d i mensions Then ca lcu late the perimeter

2 m

Perimeter = l m

3 m3 m

m

m

64 M H R bull Cha pter 2 Linea r Measurement Metric

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 72: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

a)---------------

c) ____ _

d) ________________ __

bull

_

meter of the garden

middot bull

bullbullbull middot middotmiddot bullbull bullbullbullbull

Perimeter =

bull

middot middotmiddot middot middot middot

Name middotmiddotmiddot middot middot middot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middotmiddot middotmiddot middotmiddot middotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddot middot middotmiddotmiddot middot middotmiddot

8 State a persona l reference for each of the fo l lowi ng d i sta nces

1 em

9 Draw a l i ne seg ment for each of the fo l lowing lengths

a) 1 mm

b) 1 em c) 10 em

10 Write the measurement of each l i ne segment i n the tab le

b) __

1 1 Use a sca le of 1 square to 0 5 m Write the actua l length of each s ide

of the garden on the sca le d iag ra m below Then ca lcu late the per i

Chapter 2 Review bull M H R 65

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric

Page 73: Student Resouree - · PDF filei Math Essentials 9 2nd Eition . Student Resouree . A. UTHORS . Steve Etienne . B.Sc., B.Admin., Ed. Cert. District School Board of Niagara . Jodi Clarke

I I I I I I AI

llo t--

r--I I

Name

Task Sehool Renovations bull The baseboards i n some of the c lassrooms of a school need

to be rep laced Baseboards a re the trim used where the wa l l s meet the floor

bull The fo l lowi ng sketch of a typ ica l c lassroom is not to sca l e

1 m 1 m --f 1 m Window Window Window (50 em) (50 em) (50 em)

7 m

9 m

Storage door Door ( 1 m ) ( 1 m )

You r task is to bull Ca lcu late the peri meter of the room bull Ca lcu late the a mou nt of baseboa rd needed bull Ca lcu late the cost of the baseboa rd bull Create a n accu rate sca le d i a g ra m

1 Why m i g ht i t be i m po rta nt to create a n accurate sca le d iagra m

I wou l d measure in metres

I wou ld measure in centimetres

I cou ld measure the length and width of the classroom using a

measu ring tape

66 MHR bull Chapter 2 L inear Measu rement Metric