Worksheet 1 Making and Interpreting Line Plots
Transcript of Worksheet 1 Making and Interpreting Line Plots
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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?
115Reteach 5B
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Graphs and ProbabilityCHAPTER
11
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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
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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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Chapter 11 Lesson11.1
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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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Chapter 11 Lesson11.2
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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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Chapter 11 Lesson11.2
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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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Chapter 11 Lesson11.2
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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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Chapter 11 Lesson11.3
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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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Chapter 11 Lesson11.3
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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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Chapter 11 Lesson11.4
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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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Chapter 11 Lesson11.5
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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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Chapter 11 Lesson11.5
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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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Chapter 11 Lesson11.6
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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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Chapter 11 Lesson11.6