Worksheet 1 Making and Interpreting Line Plots

Worksheet 1 Making and Interpreting Line PlotsComplete.

1. 23 1 _ 8 1 33 1 _ 4 5

2. 43 1 _ 2 1 53 3 _ 4 5

3. Theweightofabagofnutsis 3 _ 4 pound.Lisabought12bagsofnuts.Whatisthetotalweightofthenutsshebought?

4. Samboughtsomenutsthatcamein1-poundbags.Hegaveeachofhis3friends 2 _ 5 poundofnuts.Thereweresomenutsleftover,sohegaveeachfriendanother 2 _ 5 pound.Hecontinueduntilhehadgivenoutallthenutshebought.Whatistheminimumnumberof1-poundbagsthatSamcouldhavebought?

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Graphs and ProbabilityCHAPTER

11

Complete.

Emmahastwotypesofbutter.Shehas5sticksofbutterX,weighing1_4poundeach.

Shehas3sticksofbutterY,weighing3_4poundeach.

5. Createatableandalineplottoshowthetwotypesofbutter.

Butter X Butter Y

Weight (lb)

Number of Sticks

Emma’s Butter by Weight

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Chapter 11 Lesson11.1

Suehasseveralbottlesoffourkindsofbottledjuice.Eachofthethreebottlesof

JuiceAhasavolumeof1_4quart.TheonlybottleofJuiceBhasavolumeof1_2quart.

EachofthetwobottlesofJuiceChasavolumeof3_8quart.Eachofthefourbottles

ofJuiceDhasavolumeof3_4quart.

6. Drawatableandalineplottoshowthefourkindsofjuice.

Juice A Juice B Juice C Juice D

Volume of Bottles (qt)

Number of Bottles

Sue’s Juice by Volume

7. Howmanybottlesaretherealtogether?

8. WhatisthetotalvolumeofJuiceA?

9. WhatisthetotalvolumeofJuiceD?

10. Whatisthetotalvolumeofallfourkindsofjuice?

11. Ifthejuiceismixedtogetherandthendividedequallyamongallthebottles,whatisthevolumeofjuiceineachbottle?

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ThetableshowsthefourtypesofpackagedmeatthatSamsoldinoneday.

Chicken Beef Pork Turkey

Weight per Package (lb) 14

18

12

58

Number of Packages 5 3 2 4

12. Howmanypackagesofmeataretherealtogether?

13. Whatisthetotalweightofbeefsold?

14. Whatisthetotalweightofchickensold?

15. Whatisthetotalweightofmeatsold?

16. Ifalltheturkeyandchickenaremixedandrepackedequallyinto8packages,whatistheweightofeachpackage?

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Worksheet 2 Making and Interpreting Double Bar Graphs

Use the data in the table to draw a bar graph and answer the questions.

ExampleThetableshowsthetypesofticketssoldataschoolfair.

10¢ 20¢ 50¢ $1 $2

Totalnumberoftickets 50 70 200 150 80

Drawabargraphtoshowthedifferenttypesofticketssold.

Whichticketisthemostpopular?

Whichticketistheleastpopular?

Howmanymore$1ticketsthan$2ticketsweresold?

Howmanyticketsweresoldinall? 550

50¢

10¢

70

050

100150200250

10¢ 20¢ 50¢

Tickets Sold at School Fair

Num

ber o

f Tic

kets

Type of Tickets$1 $2

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ThetableshowsthenumberofpointsscoredbystudentsAmy,Ben,Carrie,Danny,Eva,andFlora.

Amy Ben Carrie Danny Eva Flora

Score 7 9 12 6 3 1

Drawabargraphtoshowthepointsscoredbyeachstudent.

02468

101214

Amy Ben Carrie DannyStudent

Points Scored by Students

Poin

ts S

core

d

Eva Flora

1. Whoscoredthemostpoints?

2. Whoscoredthefewestpoints?

3. HowmanymorepointsdidDannyscorethanFlora?

4. WhoscoredthreetimesasmanypointsasEva?

5. HowmanymorepointsmustAmyscoresothatshegetsasmany

pointsasCarrie?

6. HowmanymorepointsmustEvascoresothatshegetsonepoint

fewerthanBen?

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Use the data in the table to draw a double bar graph and answer the questions.

Example

ThetableshowsthedifferentkindsoftoppingsthatchildrenpickedfortheiryogurtatJazzCafé.

Drawadouble bar graphtoshowthedifferentkindsoftoppingspickedbytheboysandgirlsfortheiryogurt.

02468

10121416

Chocolate VanillaKind of Toppings

Toppings Picked by the Children

Num

ber o

f Chi

ldre

n

Strawberry Butterscotch

Key

Boys

Girls

Whichtoppingisthechildren’sfavorite?

Whichtoppingistheleastpopular?

Howmanymorechildrenchosethechocolatetoppingthanthe

butterscotchtopping?

Howmanychildrenchosethestrawberrytopping?

Chocolate

Butterscotch

13

18

Chocolate Vanilla Strawberry Butterscotch

Boys Girls Boys Girls Boys Girls Boys Girls

Number 15 12 10 14 8 10 8 6

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Thetableshowsthefavoritesportsofallthestudentsinaschool.

Soccer Baseball Football

Boys Girls Boys Girls Boys Girls

Number 16 22 24 22 16 8

Drawadoublebargraphtoshowthefavoritesportsoftheboysandgirlsintheschool.

0

5

10

15

20

25

30

Soccer Football

Favorite Sports of Students

Favorite Sport

Num

ber o

f Stu

dent

s

Key

Boys

Girls

Baseball

7. Howmanygirlslikesoccer?

8. Domorestudentspreferbaseballorsoccer?

Howmanymore?

9. Whichisthemostpopularsport?

10. Whichistheleastpopularsport?

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11. Howmanygirlsarethereintheschool?

12. Howmanyboysarethereintheschool?

ThetableshowsthefruitChrisandLarrypickedatafarm.

Apples Oranges Pears

Chris Larry Chris Larry Chris Larry

Pieces 80 100 75 45 90 60

Drawadoublebargraph.

0

10

Type of Fruit

Fruit Picked

Piec

es o

f Fru

it

20

30

40

50

60

70

80

90

100

Key

Chris

Larry

Apples PearsOranges

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13. HowmanypiecesoffruitdidChrispick?

14. Whopickedmorefruit,ChrisorLarry?

Howmanymore?

15. WhichtypeoffruitdoChrisandLarryhavethemostof?

Chris: ;Larry:

16. Whichtypeoffruitdotheyhavetheleastof?

17. HowmanymoreorangesmustChrispicksothathehastwiceasmany

orangesasLarry?

18. HowmanymoreapplesmustLarrypicksothatChrishashalfasmany

applesasLarry?

19. Theboys’goalisforeachonetopick100piecesofeachtypeoffruit.Whichboyhastopickthemostpiecestoreachthegoal?

20. Explaintwowaystofindtheanswerfor19.

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Worksheet 3 Graphing an EquationWrite the ordered pair for each point.

Example

C

10987654321

10 2 3 4 5 6 7 8 9 10x

y

A

B

origin

D

A( , ) B( , )

C( , ) D( , )

3

3 0

99

0 2

3

10987654321

0 1 2 3 4 5 6 7 8 9 10

y

x

P

Q

S

R

1. P( , ) 2. Q( , )

3. R( , ) 4. S( , )

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Plot each point on the coordinate grid.

Example

0

1

1 2 3 4 5 6 7 8 9 10

23456789

10

x

y

EH

F

G

E(6,4) F(4,6)

G(3,0) H(0,3)

Thecoordinate gridisalsoknownasthecoordinate plane.Thex-coordinateofpointEis6andthey-coordinateis4.

1

1 2 3 4 5 6 7 8 9 10

23456789

10

x

y

0

5. W(0,7) 6. T(3,5)

7. U(5,3) 8. V(7,0)

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Use the data in the table to plot the graph and answer the questions.

Mandyneedsflavoredsyruptomakedrinksforherpartyguests.Thetableshowsthenumberofbottlesofsyrupneededforthenumberofguestsataparty.

Number of Bottles of Syrup 1 2 3 4 5

Number of Guests 8 16 24 32 40

0

1

2

3

4

5

5 10 15 20 25 30 35 40 45

Num

ber o

f Bot

tles

Number of Bottles Needed

Number of Guests

y

x

9. HowmanybottlesofsyrupdoesMandyneedwhenthereare

24guests?

10. Howmanybottlesofsyrupdoessheneedwhenatotalof30guests

areattheparty?

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11. Mandyused2.5bottlesofsyrupforapartysheheldlastmonth.

Howmanyguestswerethere?

12. Mandyhas1.5bottlesofsyrupleft.Howmanyguestscansheinvite

tohernextparty?

13. Mandyinvited20gueststoaparty.Laterthatnight,15moreuninvited

guestsarrived.Howmanymorebottlesofsyrupdoessheneed?

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Worksheet 4 Comparing Data Using Line GraphsUse the data in the tables to plot the graph and complete the exercises.

1. Completethetablesusingtheequationsy54xandy57x.

y 5 4x

x 1 2 3 4 5

y

y 5 7x

x 1 2 3 4 5

y

2. Plottheorderedpairsonthecoordinategridbelow.Thendrawthetwolines.

3. Findthevaluesofywhenx54.

4. Findthevaluesofxwheny520.

5. Findthedifferenceinthevaluesofywhenthevalueofxis7.

40

35

30

25

20

15

10

5

0 1 2 3 4 5 6

y

x

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Use the data in the table to plot the graph and answer the questions.

Thetableshowstwochildren’ssavingsoverfiveweeks.

Week 1 Week 2 Week 3 Week 4 Week 5

Jacob $6 $12 $18 $24 $30

Sarah $8 $16 $24 $32 $40

0

10

20

30

40

50

Week

Jacob’s and Sarah’s Savings over Five Weeks

Am

ount

of M

oney

Sa

ved

($)

SarahJacob

Key

5431 2x

y

6. InwhichweekwereJacob’ssavings$6lessthanSarah’ssavings?

7. HowmuchmorewereSarah’ssavingsthanJacob’ssavingsafterfourweeks?

$

8. HowmuchdidJacobandSarahearninallafterfiveweeks?$

9. IfJacobandSarahsavedthesameamountofmoneyinWeek6astheydidinthepreviousweeks,howmuchwouldtheirsavingsbeinWeek6?

Jacob’ssavings:$ ;Sarah’ssavings:$

10. AfterWeek5,Sarahboughtherbrotherabirthdaygiftworthhalfhersavings.Whohasagreateramountinhisorhersavingsnow?Byhowmuch?

$ ;$

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Worksheet 5 CombinationsComplete.

Example

Joannehasablackblazer,abrownblazer,andagrayblazer.Shehasabeigeskirt,atanskirt,andablackskirt.Makeanorganized listofthepossiblecombinationsofablazerandskirtthatJoannecanwear.Drawatreediagramtoshowthenumberofcombinations.

Blazer Skirt Combinations

Black

Beige Black/Beige

Tan Black/Tan

Black Black/Black

Brown

Beige Brown/Beige

Tan Brown/Tan

Black Brown/Black

Gray

Beige Gray/Beige

Tan Gray/Tan

Black Gray/Black

Blazers Skirts Combinations

BlackBeigeTanBlack

Black/BeigeBlack/TanBlack/Black

BrownBeigeTanBlack

Brown/BeigeBrown/TanBrown/Black

GrayBeigeTanBlack

Gray/BeigeGray/TanGray/Black

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1. Jackhasapairofredsocks,apairofblacksocks,andapairofgreensocks.Hehasonebluetieandonebrowntie.Makeanorganizedlistofthepossiblecombinationsofatieandapairofsocks.

Socks Ties Combinations

Thereare combinations.

2. Kimeatsyogurtandfruiteverydayindifferentcombinations.

Yogurts Fruits Combinations

Vanilla

PearsApplesWatermelonsGrapes

Vanilla/PearsVanilla/ApplesVanilla/WatermelonsVanilla/Grapes

Plain

PearsApplesWatermelonsGrapes

Plain/PearsPlain/ApplesPlain/WatermelonsPlain/Grapes

Studythetreediagramabove.

HowmanytypesoffruitdoesKimeat?

Howmanytypesofyogurtdoessheeat?

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3. Jilldrinkseithercoffeeorteaafterameal.Shecanchoosetohavecheese,biscuits,orfruittogowithherdrink.

a. Drawatreediagramtoshowthenumberofcombinationsthatshecanhave.

b. Howmanycombinationsarethereinall?

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4. XYZsupermarketsells4choicesofcheese,5choicesofmilk,and6choicesofcrackers.

a. Thereare combinationsofchoosingonetypeofcheeseandonetypeofmilk.

b. Thereare combinationsofchoosingonetypeofmilkandonetypeofcrackers.

c. Thereare combinationsofchoosingonetypeofcheeseandonetypeofcrackers.

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Worksheet 6 Theoretical Probability and Experimental Probability

Complete.

Example

Sandramakesaspinner.

Spinner2

Red Red

Red

Green

Green Green

Whatisthetheoreticalandtheexperimentalprobabilityofaneventhappening?

Theoretical probability5numberoffavorableoutcomes

totalnumberofpossibleoutcomes

Experimental probability5

numberoffavorable outcomes inanactualexperiment

totalnumberoftrials

Findthetheoreticalprobabilityoflandingontheredsectionifthespinnerisspunonce.

Theoretical probability of landing on the red section = 36 = 1

2

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Jamaltossestwocoins.Thecoinslandoneitheraheadoratail.(H,T)showsaheadonthefirstcoinandatailonthesecondcoin.

1. Writedownallpossibleoutcomes.Howmanyoutcomesarethereinall?

2. Whatisthetheoreticalprobabilityoflandingaheadandatail?

3. Whatisthetheoreticalprobabilityoflandingtwoheads?

4. Whatisthetheoreticalprobabilityoflandingtwotails?

Jesstossesacoinandacubethatisnumbered1through6onitsfaces.(H,5)showsaheadonthecoinanda5onthecube.

5. Writedownallpossibleoutcomes.Howmanyoutcomesarethereinall?

6. Whatisthetheoreticalprobabilityofgettingaheadandanevennumber?

7. Whatisthetheoreticalprobabilityofgettingatailandanumberlessthan5?

8. Whatisthetheoreticalprobabilityofgettingaheadandanumbergreaterthan3?

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Sarahtossesacoin100timesandshegetsahead45timesandatail55times.

9. Findtheexperimentalprobabilityofgettingahead.

10. Findtheexperimentalprobabilityofgettingatail.

11. JennyandTrishthrowacubethatisnumbered1through6onitsfaces.Thecubeisthrown45timesbyeachgirl.Usethedatainthetabletofindtheexperimentalprobabilityofeachgirlgettingeachnumber.Completethetable.

Number Jenny’s Outcomes

Experimental Probability

Trish’s Outcomes

Experimental Probability

1 8 7

2 9 8

3 8 8

4 6 7

5 5 6

6 9 9

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12. Harrismakesaspinnerthathas4equalparts.Twopartsarepaintedred,onepartispaintedgreen,andonepartispaintedyellow.Hespinsthespinneranumberoftimesandobtainstheseexperimentalprobabilities.

Red 0.52 Green 0.25 Yellow 0.23

Whatcouldbethetotalnumberoftimeshespinsthespinner? Thereismorethanonecorrectanswer. Usingyourtotalnumberofspins,findthenumberoftimesthespinnerlands

oneachcolor.

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Documents

Worksheet 1 Making and Interpreting Line Plots