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. 08/31/16 1 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. 08/31/16 2 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. 08/31/16 3 INTEGRATEDPERFORMANCETASK‐GRADE5 AnnotatedStudentSample MATH:AnnotatedStudentSample 08/31/16 4 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.
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