CurriculumMap:5thGradeMath
Course:5MathematicsSubtopic:General
Unit:NumbersandOperations
Timeline:SeptembertoJune STANDARDS STATE:PennsylvaniaStateAnchors M5.A.1.1(Advanced) Expressnumbersinequivalentforms. 2.1.5.A PennsylvaniaStandardstoAnchors Alignment
Useexpandednotationtorepresentwholenumbersordecimals.
Reworded 2007 M5.A.1.2.2(Advanced) Reworded Identifytheplacevalueofadigit(frommillionsthroughhundredths). 2007 M5.A.1.3.1(Advanced) Comparewholenumbersthrough9digitsusingthewordsmore,less,equal,least,most,greater than,lessthanorthesymbols<,>,=. M5.A.1.3.2(Advanced) Compareand/ororderdecimalsthroughthehundredths.(Limitsetsfororderingtonomore Reworded than4numbers). 2007 M5.A.1.3.3(Advanced) Compareproperfractionsto16thswithlikeandunlikedenominators. M5.A.1.4.1(Advanced) Reworded Locate/Identifynegativenumbersonanumberline(greaterthanorequalto20). 2007 M5.A.1.4.2(Advanced) Reworded Identifynegativetemperaturesonathermometer(through20CorF). 2007 M5.A.1.5.1(Advanced) Useordevelopregionsand/orsets(e.g.,circlegraph,basetenblocks)tomodelfractionsand Reworded mixednumberstohundredths(mayincludereducingthefractions). 2007 M5.A.1.6.1(Advanced) Reworded Define/list/identifyprimeandcompositenumberslessthanorequalto100. 2007 M5.A.1.6.2(Advanced) Reworded Define/list/identifyfactorsand/ormultiplesofagivenwholenumberlessthanorequalto50. 2007 M5.A.2.1.1(Advanced) Solveproblemsinvolvingaddition,subtraction,multiplicationanddivisionofwholenumbers Reworded (multipliersupto2digitsdivisorsofonedigit)anddecimalsincludingmoney(answerto 2007 hundredthsnodivisorswithdecimals). M5.A.2.1.2(Advanced) Solveproblemsinvolvingadditionandsubtractionoffractions(through16thslikeandunlike Reworded denominatorsforunlikedenominators,theLCDmustbeoneofthegivendenominators). 2007 M5.A.2.1.3(Advanced) Choosethecorrectoperation(s)tosolveaproblem(nomorethan2operations). M5.A.3.1.1(Advanced) Roundwholenumbersthroughmillionsanddecimalsthroughhundredths. M5.A.3.1.2(Advanced) Useestimationtosolveproblemsinvolvingwholenumbersand/ordecimals(upto2digit multipliers,singledigitdivisorsormultiplesof10wholenumberstothousandsanddecimalsto hundredths.). M5.A.3.2.1(Advanced) Useaddition,subtraction,multiplicationanddivisiontocomputeaccuratelywithoutacalculator Reworded (multipliersupto2digits,singledigitdivisorsormultiplesof10wholenumbersthrough 2007 thousandsanddecimalsthroughhundredthsnodivisorswithdecimals). STATE:PennsylvaniaSASKeystoneStandards 2.1.5.A(Advanced) Applynumberpatternstocountandcomparevaluesofwholenumbers,fractions,anddecimals. 2.1.5.B(Advanced) Usenumbertheoryconceptsandmodelstorepresentorrenamewholenumbers,fractions,and decimals. 2.1.5.C(Advanced) Usemodelstorepresenttheconceptofaninteger,fraction,decimal,orpercent. 2.1.5.D(Advanced) Applyplacevalueconceptstoorderandcomparedecimalsandtoexpresswholenumbersand decimalsinexpandednotation. 2.1.5.E(Advanced) Developandapplynumbertheoryconcepts(e.g.,primes,factors,multiples,composites)to representnumbersinvariousways. 2.1.5.F(Advanced) Understandtheconceptsofmultiplicationanddivisionandusetheinverserelationshipsbetween multiplicationanddivision,todetermineunknownquantitiesinequation. 2.1.6.A(Advanced) Modelandcomparevaluesofwholenumbers,mixednumbers,fractions,anddecimals. 2.1.6.D(Advanced) Applyplacevalueconceptstoorderandcomparedecimalsusethenumberlinetoorderand comparedecimals,fractions,andmixednumbers. 2.2.5.B(Advanced) Multiplyanddividesingleanddoubledigitnumbersaddandsubtractfractionsandmixed numbersadd,subtract,multiplyanddividedecimals. 2.2.5.D(Advanced) Estimateresultsfromcalculationswithbasicoperationsofwholenumbersanddecimalsand checkthereasonablenessofthoseestimates. ThisCurriculumMapUnithasnoTopicstodisplay Matchthestandardformtothewordformofdecimalnumbersthroughthehundredths.
M5.A.1.2.1(Advanced)
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Unit:Measurement
Timeline:SeptembertoJune STANDARDS STATE:PennsylvaniaStateAnchors M5.B.1.1.1(Advanced) Selecttheappropriateunitformeasuringweight(mass),capacity,length,perimeterandarea. M5.B.1.2.1(Advanced) Convertusinglinearmeasurements,capacity,andweight(mass)withinthesamesystemtothe unitimmediatelyaboveorbelowthegivenunit(usingonlytheunitsbelowuseaconversion chartora"hint"withproblemse.g.,hint:16oz=1lb).Metricusingmm,cm,mandkmmL andLgandkgCustomaryusingcup,pint,quart,gallonin,ft,ydoz,lb M5.B.1.2.2(Advanced) Addorsubtractlinearmeasurements,(inchesandfeet)orunitsoftime(hoursandminutes), withouthavingtoregroupwithsubtraction(answershouldbeinsimplestform). M5.B.1.3.1(Advanced) Estimatewhichpolygon(shownonagrid)hasagreaterperimeterorarea(compareeitherarea toareaorperimetertoperimeter). M5.B.1.3.2(Advanced) Estimatetheareaofanirregularfigureshownonagrid. M5.B.2.1.1(Advanced) M5.B.2.2.1(Advanced) M5.B.2.2.2(Advanced) M5.B.2.2.3(Advanced) Usearulertomeasuretothenearest1/8inchorcentimeter. Findtheperimeterofafiguredrawnandlabeled(withthesameunitsthroughout). Findtheareaofasquareorrectangle(withthesameunitsthroughoutwholenumbersonly).
Reworded 2007
Reworded 2007 Reworded 2007 Reworded 2007 ReAligned 2007 ReAligned 2007
Solveproblemsinvolvingweight,time,temperature,lengthandcapacity(withthesameunits throughoutlimitedto3digits). M6.B.2.3.1(Advanced) Define,labeland/oridentifyright,straight,acuteandobtuseangles. STATE:PennsylvaniaSASKeystoneStandards 2.3.5.A(Advanced) Useconcreteobjectstodemonstratethemeaningofmeasurementquantities(e.g.,perimeter, area,weight,capacity). 2.3.5.B(Advanced) Selectanduseappropriateinstrumentsandunitsformeasuringquantitiestoaspecifiedlevelof accuracy. 2.3.5.C(Advanced) Calculateperimeterandarea,andsumsanddifferencesofmeasurements. 2.3.5.D(Advanced) Performbasicconversionswithinasystem. 2.3.5.F(Advanced) Estimateandverifymeasurementsoflength,perimeter,area,volume,capacity,temperature, time,weight,andangles. ThisCurriculumMapUnithasnoTopicstodisplay Unit:Geometry Timeline:SeptembertoJune
STANDARDS STATE:PennsylvaniaStateAnchors M5.C.1.1.1(Advanced) Reworded Identify,and/orclassifycubes,rectangularprismsorpyramidsusingfaces,verticesandedges. 2007 M5.C.1.1.2(Advanced) Identifyand/ordescribepropertiesofalltypesofquadrilaterals(parallelogram,rectangle, Reworded rhombus,square,trapezoid). 2007 M5.C.1.2.1(Advanced) Reworded Identify,drawand/orlabelpoints,lines,linesegments,andrays. 2007 M5.C.2.1.1(Advanced) Draworidentifyatranslation(slide),reflection(flip)orrotation(turn)ofa2dimensionalshape. M5.C.2.1.2(Advanced) Identifythenumberoflinesofsymmetryand/ordrawalllinesofsymmetryinatwodimensional Reworded polygon. 2007 M6.C.1.1.1(Advanced) ReAligned Identify,classifyand/orcomparepolygons(uptotensides). 2007 M6.C.1.1.2(Advanced) Identifyand/ordescribepropertiesofalltypesoftriangles(scalene,equilateral,isosceles,right, Reworded acute,obtuse). 2007 M6.C.1.1.3(Advanced) Identifyand/ordeterminethemeasureofthediameterand/orradiusofacircle(whenonorthe Reworded otherisgiven). 2007 M6.C.1.2.1(Advanced) Identify,describeand/orlabelparallel,perpendicularorintersectinglines. M6.C.1.2.2(Advanced) Identify,drawand/orlabelpoints,planes,lines,linesegments,rays,anglesandvertices. M6.C.3.1.1(Advanced) Plot,locateoridentifypointsinQuadrantIand/oronthexandyaxeswithintervalsof1,2,5 or10unitsuptoa200by200grid.Pointsmaybeinbetweenlines. STATE:PennsylvaniaSASKeystoneStandards 2.9.5.A(Advanced) Identify,describe,anddefine1,2,and3dimensionalshapesandtheirrelatedparts,and classifyandcompare2and3dimensionalshapesonthebasisoftheirproperties. 2.9.5.B(Advanced) Predictanddescribetheresultofatranslation(slide),rotation(turn),orreflection(flip)ofa2
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2.9.5.C(Advanced) 2.10.5.A(Advanced)
dimensionalshape. Identifylocationofpointswithfractionalordecimalcoordinatesonanumberlineorona2 dimensionalcoordinatesystem. Identifyandcomparepartsofrighttriangles,includingrightangles,acuteangles,hypotenuses, andlegs.
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Unit:DataAnalysisandProbability
Timeline:SeptembertoJune STANDARDS STATE:PennsylvaniaStateAnchors M5.E.1.1(Advanced) Reworded Organize,displayand/orinterpretdatausingpictographs,tallies,tables,charts,line,bargraphs. 2007 2.6.5.A PennsylvaniaStandardstoAnchors Alignment Organizeanddisplaydatausingpictures,tallies,tables,charts,bar graphsandcirclegraphs.
Displayand/orinterpretdatashownintallies,tables,charts,pictographs,bargraphs,linegraphs Reworded andusingatitle,appropriatescale,andlabels. 2007 M5.E.2.1.1(Advanced) Determinethemean/average(answerisawholenumber),median(answerisawholenumberor averageof2numbers)andrangeofdata(upto10numbers). M5.E.2.1.2(Advanced) Identifythemodeinasetofdata(upto10numbers). M5.E.3.1.2(Advanced) Determinetheprobabilityofanoutcome(e.g.,acointoss,arollofanumbercube)andexpress asafractionwithoutreduction. STATE:PennsylvaniaSASKeystoneStandards 2.6.5.A(Advanced) Gatherdatafromsurveysandobservationsfromsourcesoutsidetheclassroomorhome. 2.6.5.B(Advanced) Usepictures,tallies,tables,charts,bargraphs,linegraphs,diagrams,andgraphstoorganize, display,andanalyzedata. 2.6.5.C(Advanced) Calculatemeanandrange,identifythemedianandthemodeofasetofdata,andusethese quantitiestodescribethedata. 2.6.5.D(Advanced) ComparedatausingmultiplecategoriesdisplayedinagrapH. 2.6.5.E(Advanced) Determinethereasonablenessofastatementbasedonacomparisontodatadisplayedina graphandsummarizedbynumericalmeasures. 2.6.6.A(Advanced) Gatherdatafromavarietyofappropriatesources. 2.6.6.B(Advanced) Selectanappropriatemethodtoorganizedataselectanappropriateformattodisplaydata. 2.6.6.D(Advanced) Usemeasuresofcentraltendencytocomparetwosetsofdata. 2.6.6.E(Advanced) Interpretdatadisplayedinatable,histogram,graph,ordatasummarizedbynumerical measures. 2.7.5.A(Advanced) Predictandcalculatethelikelihoodofsimpleevents. 2.7.5.B(Advanced) Predictanddeterminewhysomeoutcomesofaparticulareventarecertain,morelikely,less likely,equallylikely,orimpossible. 2.7.5.C(Advanced) Expressprobabilitiesasfractionsand/ordecimals. 2.7.5.D(Advanced) Listallpossiblecombinationsandarrangementsofoutcomesofanexperiment(e.g.,tree diagrams,matrices). 2.7.5.E(Advanced) Comparepredictionsbasedontheoreticalprobabilityandexperimentalresults. ThisCurriculumMapUnithasnoTopicstodisplay Unit:AlgebraicConcepts Timeline:SeptembertoJune STANDARDS STATE:PennsylvaniaStateAnchors M5.D.1.1.1(Advanced) Extendorfindamissingelementinanumericalorsimplegeometricpattern(patternmustshow 3repetitions). M5.D.1.1.2(Advanced) Createorreplicateanumericalorgeometricpatternshowing3repetitionsofthatpattern(+,, xorofwholenumbersmaybeused). M5.D.1.2.1(Advanced) Formarulebasedonagivenpattern,orillustrateapatternbasedonagivenrule(+,,Xor ofwholenumbersmaybeused).Patternsmustshow3repetitions. M5.D.2.1.1(Advanced) Solveforamissingnumber(blank,questionmark,variable)inanequationinvolvingasingle operationwholenumbersonly. M5.D.2.1.2(Advanced) Matcharealisticsituationtoanequation,expression,inequality(<,>,=),tableorgraph
M5.E.1.1.1(Advanced)
Reworded 2007 Reworded 2007 Reworded 2007 ReAligned
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(variablemustbeisolated,e.g.,17+39=n). M6.D.2.1.1(Advanced) Identifytheinverseoperationneededtosolveaonestepequation.
M6.D.2.1.2(Advanced) Solveaonestepequation(i.e.,usingtheinverseoperationwholenumbersonly). STATE:PennsylvaniaSASKeystoneStandards 2.4.5.A(Advanced) Usemodels,numberfacts,propertiesandrelationshipstodrawconclusionsandexplainreasons forconclusions. 2.4.5.B(Advanced) Useifthenstatementstoexpressconditionalrelationships. 2.5.5.A(Advanced) Developaplantoanalyzeaproblem,identifytheinformationneededtosolvetheproblem, carryouttheplan,checkwhetherananswermakessense,andexplainhowtheproblemwas solvedingradeappropriatecontexts. 2.5.5.B(Advanced) Useappropriatemathematicalterms,vocabulary,language,symbols,andgraphstoexplain clearlyandlogicallysolutionstoproblems. 2.8.5.A(Advanced) UsetheconceptofequalitytodemonstrateunderstandingofthedistributivepropertY. 2.8.5.B(Advanced) Selectandusestrategies,includingconcreteobjects,tosolvenumbersentences(equationsand inequalities)andexplainthemethodofsolution. 2.8.5.C(Advanced) Recognize,describe,extend,create,replicate,andformaruleforavarietyofpatterns, sequences,andrelationshipsverbally,numerically,symbolically,andgraphically. 2.8.5.D(Advanced) Determineafunctionalrulefromatableorgraph. 2.8.5.E(Advanced) Useconcreteobjectsandcombinationsofsymbolsandnumberstocreateexpressions, equations,andinequalitiesthatmodelmathematicalsituations. 2.8.5.F(Advanced) Describedatarepresentedinequations,inequalities,tables,orgraphsand/orcreateastorythat matchesthatdata. 2.8.6.A(Advanced) Usetheconceptofequalitytodemonstrateunderstandingofthedistributiveproperty. 2.11.5.A(Advanced) Makecomparisonsofnumbers(e.g.,more,\less,same,least,most,greaterthan,lessthan). 2.11.5.B(Advanced) Describetherelationshipbetweenratesofchangeandanothervariable(e.g.,time, temperature). 2.11.5.C(Advanced) Estimateareasandvolumesofshapesandsolidsasthesumsofareasoftilesandvolumesof cubes. ThisCurriculumMapUnithasnoTopicstodisplay
2007 Reworded 2007
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