Upload
phamkien
View
230
Download
13
Embed Size (px)
Citation preview
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
COPIES OF THIS BOOK
MAY BE OBTAINED BY
CONTACTING
McGraw-Hill Ryerson Ltd
WEB SITE
httpjjwwwmcgrawhillca E-MAIL
ordersmcgrawhillca TOLL-FREE FAX
1-800-463-5885
TOLL-FREE CALL
1-800-565-5758
OR BY MAILING YOUR
ORDER TO
McGraw-Hill Ryerson
Order Department
300 Water Street Whitby ON LlN 9B6
Please quote the ISBN and
title when placing your
order
Student text ISBN
0-07-134013-0
McGraw-Hill Ryerson Limited gz
A Subsidiary of TheMcGrawmiddotHiU Companies
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
1 2 3 4 5 6 7 8 9 10 MP 1 9 8 7 6 5 4 3 2 1 Printed and bound in Canada
Care has been taken to trace ownershi p of copyright material contained in this text The publishers will gladly accept any information that w i l l enable them to rectify any reference or cred it in subsequent printings
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
COPIES OF THIS BOOK
MAY BE OBTAINED BY
CONTACTING
McGraw-Hill Ryerson Ltd
WEB SITE
httpjjwwwmcgrawhillca E-MAIL
ordersmcgrawhillca TOLL-FREE FAX
1-800-463-5885
TOLL-FREE CALL
1-800-565-5758
OR BY MAILING YOUR
ORDER TO
McGraw-Hill Ryerson
Order Department
300 Water Street Whitby ON LlN 9B6
Please quote the ISBN and
title when placing your
order
Student text ISBN
0-07-134013-0
McGraw-Hill Ryerson Limited gz
A Subsidiary of TheMcGrawmiddotHiU Companies
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
1 2 3 4 5 6 7 8 9 10 MP 1 9 8 7 6 5 4 3 2 1 Printed and bound in Canada
Care has been taken to trace ownershi p of copyright material contained in this text The publishers will gladly accept any information that w i l l enable them to rectify any reference or cred it in subsequent printings
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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