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1、NumberSenseTravisWhittingtontwhittington@clbs.k12.mn.usExecutiveSummaryThisNumberSenseunitwilltakeaboutfifteenclassdays.Theunitiscomposedofthreeparts:Partonewillbuildstudentsbackgroundonplacevalue.Parttwowillbuildstudentsunderstandingoffractionswithafocusonrepres
2、entingthemthreeways.Inpartthreestudentscompareandfindequivalencybetweendecimalsandfractions.TheoverallgoaloftheunitisforstudentstodevelopagreaterunderstandingoffractionsanddecimalswhilemeetingMinnesotastatestandardsalongtheway.MinnesotaStandardsCoveredStandardsut
3、ilizedintheunitarehighlighted.5Number&OperationDividemulti-digitnumbers;solvereal-worldandmathematicalproblemsusingarithmetic.5.1.1.1Dividemulti-digitnumbers,usingefficientandgeneralizableprocedures,basedonknowledgeofplacevalue,includingstandardalgorithms.Recogni
4、zethatquotientscanberepresentedinavarietyofways,includingawholenumberwitharemainder,afractionormixednumber,oradecimal.Forexample:Dividing153by7canbeusedtoconverttheimproperfractiontothemixednumber.5.1.1.2Considerthecontextinwhichaproblemissituatedtoselectthemostu
5、sefulformofthequotientforthesolutionandusethecontexttointerpretthequotientappropriately.Forexample:If77amusementrideticketsaretobedistributedequallyamong4children,eachchildwillreceive19tickets,andtherewillbeoneleftover.If$77istobedistributedequallyamong4children,
6、eachwillreceive$19.25,withnothingleftover.5.1.1.3Estimatesolutionstoarithmeticproblemsinordertoassessthereasonablenessofresults.5.1.1.4Solvereal-worldandmathematicalproblemsrequiringaddition,subtraction,multiplicationanddivisionofmulti-digitwholenumbers.Usevariou
7、sstrategies,includingtheinverserelationshipsbetweenoperations,theuseoftechnology,andthecontextoftheproblemtoassessthereasonablenessofresults.Forexample:Thecalculation117÷9=13canbecheckedbymultiplying9and13.5Number&OperationRead,write,representandcomparefractionsa
8、nddecimals;recognizeandwriteequivalentfractions;5.1.2.1Readandwritedecimalsusingplacevaluetodescribedecimalsintermsofgroupsfrommillionthstomillions.Forexample:
