Celebration Treat - Elementary Math Wiki

INTEGRATEDPERFORMANCETASK‐GRADE5
FloridaStandards
MathStandards
MAFS.5.NF.1.1:Addandsubtractfractionswithunlikedenominators(includingmixednumbers)byreplacinggivenfractionswith
equivalentfractionsinsuchawayastoproduceanequivalentsumordifferenceoffractionswithlikedenominators.Forexample,2/3+
5/4=8/12+15/12=23/12.(Ingeneral,a/b+c/d=(ad+bc)/bd.)
MAFS.5.NF.1.2:Solvewordproblemsinvolvingadditionandsubtractionoffractionsreferringtothesamewhole,includingcasesof
unlikedenominators,e.g.,byusingvisualfractionmodelsorequationstorepresenttheproblem.Usebenchmarkfractionsandnumber
senseoffractionstoestimatementallyandassessthereasonablenessofanswers.Forexample,recognizeanincorrectresult2/5+1/2=
3/7,byobservingthat3/7<1/2.
MP3:Constructviableargumentsandcritiquethereasoningofothers.
MP6:Attendtoprecision.
TeacherInstructions
MATHInstructions:
Studentswillcompletetheperformancetaskindependently.Ifastudentisnotworkingatgradelevel,thentheteachermayallowthe
studenttoworkwithapartnerforadditionalsupport.Teacherscanalsoworkwithstudentsinsmallgroupifnecessary.
Teachershoulddirectstudentstocreatearecipefortheirsnackmixusingfractions.
(Answerswillvary.)
Note:SeeblankstudentpageafterAnnotatedStudentSamples.
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INTEGRATEDPERFORMANCETASK‐GRADE5
PerformanceTaskforMATH
CelebrationTreat
Congratulations!Yourclasshasjustwonfirstplaceinyourschool’sOlympicFieldDay.Forthecelebrationtreat,eachstudentwillbeallowedto
maketwocupsofsnackmixtoeat.
Youmayselectfromtheseingredients:coconut,raisins,marshmallows,chocolatechips,cereal,andpeanuts.
Choose3ingredientsfromthelist.Writearecipefor2cupsofsnackmixyouwouldlikeforyourself.Eachingredientmustbewrittenasafraction.
Youcannotuseequalamountsofanyingredients.
Afteryou’vemadeyoursnackmix,howmuchofyourchoseningredientswillbeleftforyourclassmates?
Whileeatingyoursnackmix,yourfriend,Sarah,showsyouhersnackmixrecipe:
 1½cupsofchocolatechips

2/

¼cupsofraisins
8cupsofcereal
DoesSarah’srecipefollowtheguidelinesforthesnackmix?Explain.
PossibleAnswers:
 MySnackMix:½cupmarshmallows,11/3cupschocolatechips,1/6cuppeanuts.Thereare47/8cupsofmarshmallowleft,42/3cupsof
chocolatechipsleft,and31/3cupsofpeanutsleft.
 MySnackMix:1¼cupscoconut,½cupraisins,¼cupcereal.Thereare15/12cupsofcoconutleft,17/10cupsofraisinsleft,and4¼cupsof
cerealleft.
 Answersmayvary.
 Sarahdidnotfollowtheguidelinesforsnackmix.Althoughshehas2cupsofsnackmix,2/8=¼sotheamountsforcerealandraisinsarethe
same.
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INTEGRATEDPERFORMANCETASK‐GRADE5
EvaluationRubrics
MATH:PerformanceTaskRubric
4‐MasteryinPerformance
Studentdoesallofthefollowingcorrectly:
 Makes2cupsofsnackmixforhimself/herselffollowingtheguidelines
 Identifieshowmuchofeachingredientwillbeleftforhis/herclassmates
 DeterminesifSarah’srecipefollowstheguidelinesforthesnackmix
 Allsolutionsareexplainedusingpictures,numbers,orwords
3‐ProficientinPerformance
Studentdoes3ofthefollowingcorrectly:
 Makes2cupsofsnackmixforhimself/herselffollowingtheguidelines
 Identifieshowmuchofeachingredientwillbeleftfortheirclassmates
 DeterminesifSarah’srecipefollowstheguidelinesforthesnackmix
 Somesolutionsareexplainedusingpictures,numbers,orwords
2‐NotYetProficient
Studentdoes1‐2ofthefollowingcorrectly:
 Makes2cupsofsnackmixforhimself/herselffollowingtheguidelines
 Identifieshowmuchofeachingredientwillbeleftforhis/herclassmates
 DeterminesifSarah’srecipefollowstheguidelinesforthesnackmix
 Somesolutionsareexplainedusingpictures,numbers,orwords
1‐LimitedPerformance
Thestudentisunabletousestrategiestofindcorrectanswerstoanyaspectofthetask.
**NOTE:Aftergradingtheperformancetaskusingthe4‐pointrubric,theteacherwillutilizedatatodeterminetheneedfor
remediationorenrichment.Theteacherwillprovidetheinformationtothestudentthroughspecificdevelopmentalfeedback,
inordertoextendthestudent’slearning.
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INTEGRATEDPERFORMANCETASK‐GRADE5
AnnotatedStudentSample
MATH:AnnotatedStudentSample
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5th Grade Performance Task 2/Quarter 2
Name ___________________________________________
Celebration Treat
Congratulations! Your class has just won first place in your school’s Olympic Field Day.
For the celebration treat, each student will be allowed to make two cups of snack mix to
eat.
You may select from these ingredients: coconut, raisins, marshmallows, chocolate
chips, cereal, and peanuts.
a
4 ¼ cups
6 cups
2 2/3 cups
Cereal
Chocolate
Chips
Coconut
5 3/8 cups
Marshmallows
3 ½ cups
Peanuts
2 1/5 cups
Raisins
Choose 3 ingredients from the list. Write a recipe for 2 cups of snack mix you would like
for yourself. Each ingredient must be written as a fraction. You cannot use equal
amounts of any ingredients.
After you’ve made your snack mix, how of much your chosen ingredients will be left for
your classmates?
While eating your snack mix, your friend, Sarah, shows you her snack mix recipe:
 1 ½ cups of chocolate chips
 2/8 cups of cereal
 ¼ cups of raisins
Does Sarah’s recipe follow the guidelines for the snack mix? Explain.