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2016-17STATEOFFLORIDAINSTRUCTIONALMATERIALSADOPTION,STANDARDSALIGNMENT,COURSESTANDARDS/BENCHMARKS(IM7)
M/JGRADE7MATH/AgileMindMathematics7 1of25
BIDID: 3575
SUBMISSIONTITLE: AgileMindMathematics7
GRADELEVEL: 6-8
COURSETITLE: M/JGRADE7MATH
COURSECODE: 1205040
ISBN: 978-1-948905-82-4
PUBLISHER: AgileMindEducationalHoldings,Inc.
PUBLISHERID: 27000820301
BENCHMARKCODE BENCHMARK
LESSONSWHERESTANDARD/BENCHMARKISDIRECTLYADDRESSEDINMAJORTOOL(MOSTIN-DEPTHCOVERAGELISTEDFIRST)(Includethestudenteditionandteachereditionwiththepagenumbersoflesson,alinktolesson,orotheridentifierforeasylookupbyreviewers.)
MAFS.7.EE.1.1: Applypropertiesofoperationsasstrategiestoadd,subtract,factor,andexpandlinearexpressionswithrationalcoefficients.
Topic8.Equationsandinequalities-Exploring""Modelingandsolvinglinearequations,""pp.8-13,Block3,SAS-Exploring"Linearexpressionsandequations,"pp.1-5,Block4,SAS-Exploring"Linearexpressionsandequations,"pp.6-9,Block5,SAS-Constructedresponse,Block6-Guidedpractice,Block7-Exploring"Solvingandgraphinginequalities,"pp.1-8,Block8,SAS-Exploring"Solvingandgraphinginequalities,"pp.9-12,Block9,SAS
MAFS.7.EE.1.2: Understandthatrewritinganexpressionindifferentformsinaproblemcontextcanshedlightontheproblemandhowthequantitiesinitarerelated.Forexample,a+0.05a=1.05ameansthat“increaseby5%”isthesameas“multiplyby1.05.”
Topic8.Equationsandinequalities-Overview,Block1,SAS-Exploring"Linearexpressionsandequations,"pp.1-5,Block4,SAS-Constructedresponse,Block6,SAS-Guidedpractice,Block7,SAS
SAS:StudentActivitySheet.TheSASthatarepartofthetopicmaterialsareavailableinprintformbutcanbeaccessedaspdfdownloadsfromtheStudentActivitySheetareainatopic.
Block:Guidanceforteacherforasingleblockofinstructionforatopic.TheguidanceisfoundinProfessionalsupport->AdviceforInstruction–>Deliverinstruction->Blockxyz
2016-17STATEOFFLORIDAINSTRUCTIONALMATERIALSADOPTION,STANDARDSALIGNMENT,COURSESTANDARDS/BENCHMARKS(IM7)
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Solvemulti-stepreal-lifeandmathematicalproblemsposedwithpositiveandnegativerationalnumbersinanyform(wholenumbers,fractions,anddecimals),usingtoolsstrategically.Applypropertiesofoperationstocalculatewithnumbersinanyform;convertbetweenformsasappropriate;andassessthereasonablenessofanswersusingmentalcomputationandestimationstrategies.Forexample:Ifawomanmaking$25anhourgetsa10%raise,shewillmakeanadditional1/10ofhersalaryanhour,or$2.50,foranewsalaryof$27.50.Ifyouwanttoplaceatowelbar93/4incheslonginthecenterofadoorthatis271/2incheswide,youwillneedtoplacethebarabout9inchesfromeachedge;thisestimatecanbeusedasacheckontheexactcomputation.
Topic7.Rationalnumbers-Overview,Block1,SAS-Exploring"Operationswithpositiverationalnumbers,"pp.1-7,Block2-Exploring"Operationswithpositiverationalnumbers,"pp.8-11,Block3-Exploring"Understandingrationalnumberoperations,"pp.1-2,Block4-Exploring"Understandingrationalnumberoperations,"pp.3-7,Block5-Exploring"Understandingrationalnumberoperations,"pp.8-12,Block6-Exploring"Applyingrationalnumberoperations,"pp.1-8,Block7,SAS-Exploring"Applyingrationalnumberoperations,"pp.9-12,Block8,SAS
Topic13.Solvingproblemswith2-Dshapes-Exploring""Frompolygonstocircles,""pp.1-5,Block1,SAS-Exploring"Frompolygonstocircles,"pp.6-12,Block2,SAS-Exploring"Estimatingareas,"Block3,SAS-Exploring"Areaoftrianglesandquadrilaterals,"pp.1-8,Block4,SAS-Exploring"Areaoftrianglesandquadrilaterals,"pp.9-12,Block5,SAS-Exploring"Areaofpolygonsandcircles,"pp.1-3,Block6,SAS-Exploring"Areaofpolygonsandcircles,"pp.4-6,Block7,SAS
Remarks/Examples:
FluencyExpectationsorExamplesofCulminatingStandards
Studentssolvemultistepproblemsposedwithpositiveandnegativerationalnumbersinanyform(wholenumbers,fractions,anddecimals),usingtoolsstrategically.Thisworkistheculminationofmanyprogressionsoflearninginarithmetic,problemsolvingandmathematicalpractices.ExamplesofOpportunitiesforIn-DepthFocusThisisamajorcapstonestandardforarithmeticanditsapplications.Usevariablestorepresentquantitiesinareal-worldormathematicalproblem,andconstructsimpleequationsandinequalitiestosolveproblemsbyreasoningaboutthequantities.
MAFS.7.EE.2.3:
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a. Solvewordproblemsleadingtoequationsoftheformpx+q=randp(x+q)=r,wherep,q,andrarespecificrationalnumbers.Solveequationsoftheseformsfluently.Compareanalgebraicsolutiontoanarithmeticsolution,identifyingthesequenceoftheoperationsusedineachapproach.Forexample,theperimeterofarectangleis54cm.Itslengthis6cm.Whatisitswidth?
Topic3.Patternsinproportionalrelationships-Exploring""Proportionalandnon-proportionalrelationships,""pp.1-4,Block2,SAS-Exploring"Identifyingproportionalrelationships,"pp.1-4,Block5,SAS-MarsTask:Tilingsquares,Block8
Topic8.Equationsandinequalities-Overview,Block1,SAS-Exploring"Modelingandsolvinglinearequations,"pp.1-7,Block2,SAS-Exploring"Modelingandsolvinglinearequations,"pp.8-13,Block3,SAS-Exploring"Linearexpressionsandequations,"pp.1-5,Block4,SAS-Exploring"Linearexpressionsandequations,"pp.6-9,Block5,SAS-Constructedresponse,Block6,SAS-Guidedpractice,Block7,SAS
b. Solvewordproblemsleadingtoinequalitiesoftheformpx+q>rorpx+q<r,wherep,q,andrarespecificrationalnumbers.Graphthesolutionsetoftheinequalityandinterpretitinthecontextoftheproblem.Forexample:Asasalesperson,youarepaid$50perweekplus$3persale.Thisweekyouwantyourpaytobeatleast$100.Writeaninequalityforthenumberofsalesyouneedtomake,anddescribethesolutions.
Topic8.Equationsandinequalities-Overview,Block1,SAS-Exploring"Solvingandgraphinginequalities,"pp.1-8,Block8,SAS-Exploring"Solvingandgraphinginequalities,"pp.9-12,Block9,SAS
Remarks/Examples:FluencyExpectationsorExamplesofCulminatingStandardsInsolvingwordproblemsleadingtoone-variableequationsoftheformpx+q=randp(x+q)=r,studentssolvetheequationsfluently.Thiswillrequirefluencywithrationalnumberarithmetic(7.NS.1.1–1.3),aswellasfluencytosomeextentwithapplyingpropertiesoperationstorewritelinearexpressionswithrationalcoefficients(7.EE.1.1).ExamplesofOpportunitiesforIn-DepthFocus
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Worktowardmeetingthisstandardbuildsontheworkthatledtomeeting6.EE.2.7andpreparesstudentsfortheworkthatwillleadtomeeting8.EE.3.7.
MAFS.7.G.1.1: Solveproblemsinvolvingscaledrawingsofgeometricfigures,includingcomputingactuallengthsandareasfromascaledrawingandreproducingascaledrawingatadifferentscale.
Topic1.Usingratios-Exploring""Scalingimages,""pp.1-6,Block2,SAS-Exploring"Scalingimages,"pp.7-11,Block3,SAS-Exploring"Scalingimages,"pp.12-14,,SAS4,Block4-MARStask:Mixingpaints,Block6,SAS-Exploring"Applyingproportionalreasoning,"pp.4-6,Block7,SAS-Constructedresponse,Block11,SAS
Topic2.Ratiosandrates-Overview,Block1,SAS-Exploring"Solvingproblemswithunitrates,"pp.1-6,Block6,SAS-Exploring"Solvingproblemswithunitrates,"pp.7-9,Block7,SAS-SummaryandSASBlock7,Block8,SAS
Topic15.Effectsofchange-Overview,Block1,SAS-Exploring"Changesin1-dimensionalmeasurements",Block2,SAS-Exploring"Changesin2-dimensionalmeasurements,"pp.1-7,Block4,SAS-Exploring"Changesin2-dimensionalmeasurements,"pp.8-11,Block5,
MAFS.7.G.1.2: Draw(freehand,withrulerandprotractor,andwithtechnology)geometricshapeswithgivenconditions.Focusonconstructingtrianglesfromthreemeasuresofanglesorsides,noticingwhentheconditionsdetermineauniquetriangle,morethanonetriangle,ornotriangle.
Topic12.Anglesandtriangles-Exploring""Drawingandconstructingtriangles,""pp.1-6,Block5,SAS-Exploring"Drawingandconstructingtriangles,"pp.7-12,Block6,SAS-Exploring"Drawingandconstructingtriangles,"Block7,SAS
MAFS.7.G.1.3: Describethetwo-dimensionalfiguresthatresultfromslicingthree-dimensionalfigures,asinplanesectionsofrightrectangularprismsandrightrectangularpyramids.
Topic14.Prisms,pyramids,andplanesections-Exploring""Planesections,""Block7,SAS
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MAFS.7.G.2.4: Knowtheformulasfortheareaandcircumferenceofacircleandusethemtosolveproblems;giveaninformalderivationoftherelationshipbetweenthecircumferenceandareaofacircle.
Topic13.Solvingproblemswith2-Dshapes-Exploring""Frompolygonstocircles,""pp.6-12,Block2,SAS-Exploring"Estimatingareas,"Block3,SAS-Exploring"Areaofpolygonsandcircles,"pp.1-3,Block6,SAS-Exploring"Areaofpolygonsandcircles,"pp.4-6,Block7,SAS
MAFS.7.G.2.5: Usefactsaboutsupplementary,complementary,vertical,andadjacentanglesinamulti-stepproblemtowriteandsolvesimpleequationsforanunknownangleinafigure.
Topic12.Anglesandtriangles-Exploring""Anglerelationships,""pp.1-5,Block1,SAS-Exploring"Anglerelationships,"Block2,SAS-Exploring"Anglerelationships,"pp.6-12,Block3,SAS-Exploring"Anglerelationships,"Block4,SAS
Solvereal-worldandmathematicalproblemsinvolvingarea,volumeandsurfaceareaoftwo-andthree-dimensionalobjectscomposedoftriangles,quadrilaterals,polygons,cubes,andrightprisms.
Topic13.Solvingproblemswith2-Dshapes-Exploring""Frompolygonstocircles,""pp.1-5,Block1,SAS-Exploring"Estimatingareas,"Block3,SAS-Exploring"Areaoftrianglesandquadrilaterals,"pp.1-8,Block4,SAS-Exploring"Areaoftrianglesandquadrilaterals,"pp.9-12,Block5,SAS-Exploring"Areaofpolygonsandcircles,"pp.1-3,Block6,SAS
Topic14.Prisms,pyramids,andplanesections-Exploring""Surfacearea,""pp.1–12,Block1,SAS-Exploring"Surfacearea,Block2,SAS-Exploring"Surfacearea,Block3,SAS-Exploring"Volume,Block4,SAS-Exploring"Volume,Block5,SAS-Constructedresponse,Block6-Exploring"Planesections,"Block7,SAS
Remarks/Examples:ExamplesofOpportunitiesforIn-DepthFocus
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Worktowardmeetingthisstandarddrawstogethergrades3–6workwithgeometricmeasurement.Applyandextendpreviousunderstandingsofadditionandsubtractiontoaddandsubtractrationalnumbers;representadditionandsubtractiononahorizontalorverticalnumberlinediagram.a. Describesituationsinwhichoppositequantitiescombinetomake0.Forexample,ahydrogenatomhas0chargebecauseitstwoconstituentsareoppositelycharged.
Topic5.Addingandsubtractingintegers-Overview,Block1,SAS-Exploring"Modelingwithalgebratiles,"Block2,SAS-Exploring"Usinganumberline,"pp.1-7,Block3,SAS-Exploring"Usinganumberline,"pp.8-15,Block4,SAS-Exploring"Usingtheverticalnumberline,"pp.1-3,Block5,SAS-Exploring"Usingtheverticalnumberline,"pp.4-8,Block6,SAS
Topic7.Rationalnumbers-Overview,Block1,SAS-Exploring"Operationswithpositiverationalnumbers,"pp.1-7,Block2,-Exploring"Understandingrationalnumberoperations,"pp.1-2,Block4,-Exploring"Understandingrationalnumberoperations,"pp.3-7,Block5,-Exploring"Applyingrationalnumberoperations,"pp.1-8,Block7,SAS
b. Understandp+qasthenumberlocatedadistance|q|fromp,inthepositiveornegativedirectiondependingonwhetherqispositiveornegative.Showthatanumberanditsoppositehaveasumof0(areadditiveinverses).Interpretsumsofrationalnumbersbydescribingreal-worldcontexts.
Topic5.Addingandsubtractingintegers-Overview,Block1,SAS-Exploring"Modelingwithalgebratiles,"Block2,SAS-Exploring"Usinganumberline,"pp.1-7,Block3,SAS-Exploring"Usinganumberline,"pp.8-15,Block4,SAS-Exploring"Usingtheverticalnumberline,"pp.1-3,Block5,SAS-Exploring"Usingtheverticalnumberline,"pp.4-8,Block6,SAS
Topic7.Rationalnumbers-Overview,Block1,SAS-Exploring"Operationswithpositiverationalnumbers,"pp.1-7,Block2,-Exploring"Understandingrationalnumberoperations,"pp.1-2,Block4,-Exploring"Understandingrationalnumberoperations,"pp.3-7,Block5,-Exploring"Applyingrationalnumberoperations,"pp.1-8,Block7,SAS-Exploring"Applyingrationalnumberoperations,"pp.9-12,Block8,SAS
MAFS.7.G.2.6:
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c. Understandsubtractionofrationalnumbersasaddingtheadditiveinverse,p–q=p+(–q).Showthatthedistancebetweentworationalnumbersonthenumberlineistheabsolutevalueoftheirdifference,andapplythisprincipleinreal-worldcontexts.
Topic5.Addingandsubtractingintegers-Exploring""Usinganumberline,""pp.8-15,Block4,SAS-Exploring"Usingtheverticalnumberline,"pp.1-3,Block5,SAS-Exploring"Usingtheverticalnumberline,"pp.4-8,Block6,SAS
Topic7.Rationalnumbers-Overview,Block1,SAS-Exploring"Understandingrationalnumberoperations,"pp.1-2,Block4,-Exploring"Understandingrationalnumberoperations,"pp.3-7,Block5,-Exploring"Applyingrationalnumberoperations,"pp.1-8,Block7,SAS-Exploring"Applyingrationalnumberoperations,"pp.9-12,Block8,SAS
d. Applypropertiesofoperationsasstrategiestoaddandsubtractrationalnumbers.
Topic5.Addingandsubtractingintegers-Exploring""Usinganumberline,""pp.8-15,Block4,SAS
Topic7.Rationalnumbers-Exploring""Understandingrationalnumberoperations,""pp.1-2,Block4,
Remarks/Examples:FluencyExpectationsorExamplesofCulminatingStandardsAdding,subtracting,multiplying,anddividingrationalnumbersistheculminationofnumericalworkwiththefourbasicoperations.Thenumbersystemwillcontinuetodevelopingrade8,expandingtobecometherealnumbersbytheintroductionofirrationalnumbers,andwilldevelopfurtherinhighschool,expandingtobecomethecomplexnumberswiththeintroductionofimaginarynumbers.Becausetherearenospecificstandardsforrationalnumberarithmeticinlatergradesandbecausesomuchotherworkingrade7dependsonrationalnumberarithmetic,fluencywithrationalnumberarithmeticshouldbethegoalingrade7.Applyandextendpreviousunderstandingsofmultiplicationanddivisionandoffractionstomultiplyanddividerationalnumbers.
MAFS.7.NS.1.1:
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a. Understandthatmultiplicationisextendedfromfractionstorationalnumbersbyrequiringthatoperationscontinuetosatisfythepropertiesofoperations,particularlythedistributiveproperty,leadingtoproductssuchas(–1)(–1)=1andtherulesformultiplyingsignednumbers.Interpretproductsofrationalnumbersbydescribingreal-worldcontexts.
Topic6.Multiplyinganddividingintegers-Exploring""Visualizingmultiplicationanddivisionofintegers,""pp.1-2,Block1,SAS-Exploring"Visualizingmultiplicationanddivisionofintegers,"pp.3-6,Block2,SAS-Exploring"Patternsofmultiplyinganddividingintegers,"pp.1-7,Block3,-Exploring"Patternsinoperationswithexponents,"pp.1-4,Block5,SAS
b. Understandthatintegerscanbedivided,providedthatthedivisorisnotzero,andeveryquotientofintegers(withnon-zerodivisor)isarationalnumber.Ifpandqareintegers,then–(p/q)=(–p)/q=p/(–q).Interpretquotientsofrationalnumbersbydescribingreal-worldcontexts.
Topic6.Multiplyinganddividingintegers-Exploring""Visualizingmultiplicationanddivisionofintegers,""pp.1-2,Block1,SAS-Exploring"Patternsofmultiplyinganddividingintegers,"pp.8-12,Block4,
c Applypropertiesofoperationsasstrategiestomultiplyanddividerationalnumbers.
Topic6.Multiplyinganddividingintegers-Exploring""Patternsofmultiplyinganddividingintegers,""pp.1-7,Block3,-Exploring"Patternsofmultiplyinganddividingintegers,"pp.8-12,Block4,
Topic7.Rationalnumbers-Exploring""Operationswithpositiverationalnumbers,""pp.8-11,Block3,-Exploring"Understandingrationalnumberoperations,"pp.1-2,Block4,-Exploring"Applyingrationalnumberoperations,"pp.1-8,Block7,SAS
d. Convertarationalnumbertoadecimalusinglongdivision;knowthatthedecimalformofarationalnumberterminatesin0soreventuallyrepeats.
Topic7.Rationalnumbers-Exploring""Operationswithpositiverationalnumbers,""pp.1-7,Block2,
Remarks/Examples:FluencyExpectationsorExamplesofCulminatingStandards
MAFS.7.NS.1.2:
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Adding,subtracting,multiplying,anddividingrationalnumbersistheculminationofnumericalworkwiththefourbasicoperations.Thenumbersystemwillcontinuetodevelopingrade8,expandingtobecometherealnumbersbytheintroductionofirrationalnumbers,andwilldevelopfurtherinhighschool,expandingtobecomethecomplexnumberswiththeintroductionofimaginarynumbers.Becausetherearenospecificstandardsforrationalnumberarithmeticinlatergradesandbecausesomuchotherworkingrade7dependsonrationalnumberarithmetic,fluencywithrationalnumberarithmeticshouldbethegoalingrade7.Solvereal-worldandmathematicalproblemsinvolvingthefouroperationswithrationalnumbers.
Topic7.Rationalnumbers-Overview,Block1,SAS-Exploring"Operationswithpositiverationalnumbers,"pp.1-7,Block2,-Exploring"Operationswithpositiverationalnumbers,"pp.8-11,Block3,-Exploring"Understandingrationalnumberoperations,"pp.1-2,Block4,-Exploring"Understandingrationalnumberoperations,"pp.3-7,Block5,-Exploring"Understandingrationalnumberoperations,"pp.8-12,Block6,-Exploring"Applyingrationalnumberoperations,"pp.1-8,Block7,SAS-Exploring"Applyingrationalnumberoperations,"pp.9-12,Block8,SAS
Remarks/Examples:ExamplesofOpportunitiesforIn-DepthFocus
Whenstudentsworktowardmeetingthisstandard(whichiscloselyconnectedto7.NS.1.1and7.NS.1.2),theyconsolidatetheirskillandunderstandingofaddition,subtraction,multiplicationanddivisionofrationalnumbers.
MAFS.7.NS.1.3:
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MAFS.7.RP.1.1: Computeunitratesassociatedwithratiosoffractions,includingratiosoflengths,areasandotherquantitiesmeasuredinlikeordifferentunits.Forexample,ifapersonwalks1/2mileineach1/4hour,computetheunitrateasthecomplexfraction1/2/1/4milesperhour,equivalently2milesperhour.
Topic2.Ratiosandrates-Overview,Block1,SAS-Exploring"Unitrates,"pp.1-6,Block2,SAS-Constructedresponse1,Block3-Exploring"Unitrates,"pp.7-11,Block4,SAS-Exploring"Unitrates"(reviewofkeyideas),Block5-Exploring"Solvingproblemswithunitrates,"pp.1-6,Block6,SAS-Exploring"Solvingproblemswithunitrates,"pp.7-9,Block7,SAS-Summary,Block7SAS,Block8,SAS
Topic7.Rationalnumbers-Exploring"Operationswithpositiverationalnumbers,"pp.1-7,Block2,-Exploring"Operationswithpositiverationalnumbers,"pp.8-11,Block3,-Exploring"Understandingrationalnumberoperations,"pp.8-12,Block6,-Exploring"Applyingrationalnumberoperations,"pp.1-8,Block7,SAS-Exploring"Applyingrationalnumberoperations,"pp.9-12,Block8,SAS
Recognizeandrepresentproportionalrelationshipsbetweenquantities.a. Decidewhethertwoquantitiesareinaproportionalrelationship,e.g.,bytestingforequivalentratiosinatableorgraphingonacoordinateplaneandobservingwhetherthegraphisastraightlinethroughtheorigin.
Topic3.Patternsinproportionalrelationships-Overview,Block1,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.1-4,Block2,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.5-9,Block3,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.10-12,Block4,SAS-Exploring"Identifyingproportionalrelationships,"pp.1-4,Block5,SAS-Exploring"Identifyingproportionalrelationships,"pp.5-8,Block6,SAS-Summary/Reinforcementactivities,Block7,SAS-LiteracyTask,Block9
MAFS.7.RP.1.2:
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b. Identifytheconstantofproportionality(unitrate)intables,graphs,equations,diagrams,andverbaldescriptionsofproportionalrelationships.
Topic2.Ratiosandrates-Overview,Block1,SAS-Exploring"Solvingproblemswithunitrates,"pp.1-6,Block6,SAS-Exploring"Solvingproblemswithunitrates,"pp.7-9,Block7,SAS-SummaryandSASBlock7,,SAS8,Block8
Topic3.Patternsinproportionalrelationships-Overview,Block1,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.1-4,Block2,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.5-9,Block3,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.10-12,Block4,SASExploring"Identifyingproportionalrelationships,"pp.1-4,Block5,SAS-Exploring"Identifyingproportionalrelationships,"pp.5-8,Block6,SAS-Summary/Reinforcementactivities,Block7,SAS-MarsTask:Tilingsquares,Block8-LiteracyTask,Block9,SAS
c. Representproportionalrelationshipsbyequations.Forexample,iftotalcosttisproportionaltothenumbernofitemspurchasedataconstantpricep,therelationshipbetweenthetotalcostandthenumberofitemscanbeexpressedast=pn.
Topic2.Ratiosandrates-Overview,Block1,SAS-Exploring"Solvingproblemswithunitrates,"pp.1-6,Block6,SAS-Exploring"Solvingproblemswithunitrates,"pp.7-9,Block7,SAS-SummaryandSASBlock7,Block8,SAS
Topic3.Patternsinproportionalrelationships-Exploring""Proportionalandnon-proportionalrelationships,""pp.1-4,Block2,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.5-9,Block3,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.10-12,Block4,SAS-Exploring"Identifyingproportionalrelationships,"pp.1-4,Block5,SAS-Exploring"Identifyingproportionalrelationships,"pp.5-8,Block6,SAS-Summary/Reinforcementactivities,Block7,SAS
MAFS.7.RP.1.2:
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d. Explainwhatapoint(x,y)onthegraphofaproportionalrelationshipmeansintermsofthesituation,withspecialattentiontothepoints(0,0)and(1,r)whereristheunitrate.
Topic3.Patternsinproportionalrelationships-Overview,Block1,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.1-4,Block2,SAS-Exploring"Proportionalandnon-proportionalrelationships,"pp.5-9,Block3,SAS-Exploring"Identifyingproportionalrelationships,"pp.5-9,Block6,SAS-Summary/Reinforcementactivities,Block7,SAS-LiteracyTask,Block9
Remarks/Examples:ExamplesofOpportunitiesforIn-DepthFocusStudentsingrade7growintheirabilitytorecognize,represent,andanalyzeproportionalrelationshipsinvariousways,includingbyusingtables,graphs,andequations.
MAFS.7.RP.1.2:
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MAFS.7.RP.1.3: Useproportionalrelationshipstosolvemultistepratioandpercentproblems.Examples:simpleinterest,tax,markupsandmarkdowns,gratuitiesandcommissions,fees,percentincreaseanddecrease,percenterror.
Topic1.Usingratios-Overview,Block1,SAS-Exploring"Scalingimages,"pp.1-6,Block2,SAS-Exploring"Scalingimages,"pp.7-11,Block3,SAS-Exploring"Scalingimages,"pp.12-14,Block4,SAS-Exploring"Applyingproportionalreasoning,"p.1-3,Block5-MARStask:Mixingpaints,Block6,SAS-Exploring"Applyingproportionalreasoning,"pp.4-6,Block7,SAS-Exploring"Applyingproportionalreasoning,"pp.7-8,Block8,SAS-Guidedpractice,Block9,SAS-Exploring"Applyingproportionalreasoning,"p.9,Block10,SAS-Constructedresponse,Block11,SAS
Topic2.Ratiosandrates-Overview,Block1,SAS-Exploring"Unitrates,"pp.1-6,Block2,SAS-Constructedresponse1,Block3-Exploring"Unitrates,"pp.7-11,Block4,SAS-Exploring"Unitrates"(reviewofkeyideas),Block5-Exploring"Solvingproblemswithunitrates,"pp.1-6,Block6,SAS-Exploring"Solvingproblemswithunitrates,"pp.7-9,Block7,SAS-SummaryandSASBlock7,Block8,SAS
Topic4.Applicationsofpercents-Exploring""Percentofanumber,""p.1,Block1,SAS-Exploring"Percentofanumber,"pp.2-7,Block2,SAS-Exploring"Percentofanumber,"pp.8-9,Block3,SAS-Exploring"Applyingpercentstobusinesssituations,"pp.1-3,Block4,SAS-Exploring"Applyingpercentstobusinesssituations,"pp.4-6,Block5,SAS-Exploring"Applyingpercentstobusinesssituations,"pp.7-10,Block6,SAS-Exploring"Applyingpercentstoconsumersituations,"pp.1-4,Block7,SAS-MarsTask:25%Sale,Block8-Exploring"Applyingpercentstoconsumersituations,"pp.5-7,Block9,SAS-MarsTask:Fudge,Block10-Exploring"Applyingpercentstoconsumersituations,"pp.8-10,Block11,
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MAFS.7.SP.1.1: Understandthatstatisticscanbeusedtogaininformationaboutapopulationbyexaminingasampleofthepopulation;generalizationsaboutapopulationfromasamplearevalidonlyifthesampleisrepresentativeofthatpopulation.Understandthatrandomsamplingtendstoproducerepresentativesamplesandsupportvalidinferences.
Topic10.Representingandinterpretingdata-Exploring""Representingdata,""pp.1-3,Block1,SAS-Exploring"Representingdata,"pp.4-6,Block2,SAS-Constructedresponse,Block6,SAS-Exploring"Misleadinggraphs,"pp.8-12,,SAS10,Block10-Writtenreport,Block11-Writtenreport,Block12
MAFS.7.SP.1.2: Usedatafromarandomsampletodrawinferencesaboutapopulationwithanunknowncharacteristicofinterest.Generatemultiplesamples(orsimulatedsamples)ofthesamesizetogaugethevariationinestimatesorpredictions.Forexample,estimatethemeanwordlengthinabookbyrandomlysamplingwordsfromthebook;predictthewinnerofaschoolelectionbasedonrandomlysampledsurveydata.Gaugehowfarofftheestimateorpredictionmightbe.
Topic10.Representingandinterpretingdata-Exploring""Representingdata,""pp.1-3,Block1,SAS-Constructedresponse,Block6,SAS-Writtenreport,Block11-Writtenreport,Block12
MAFS.7.SP.2.3: Informallyassessthedegreeofvisualoverlapoftwonumericaldatadistributionswithsimilarvariabilities,measuringthedifferencebetweenthecentersbyexpressingitasamultipleofameasureofvariability.Forexample,themeanheightofplayersonthebasketballteamis10cmgreaterthanthemeanheightofplayersonthesoccerteam,abouttwicethevariability(meanabsolutedeviation)oneitherteam;onadotplot,theseparationbetweenthetwodistributionsofheightsisnoticeable.
Topic10.Representingandinterpretingdata-Exploring""Representingdata,""pp.1-3,Block1,SAS-Exploring"Representingdata,"pp.7-9,Block3,SAS-Exploring"Representingdata,"pp.10-11,Block4,SAS-Exploring"Interpretinggraphs,"pp.1-4,Block5,SAS-Constructedresponse,Block6,SAS-Exploring"Interpretinggraphs,"pp.5-10,Block7,SAS-MARStask:BestGuess,Block8-Writtenreport,Block11-Writtenreport,Block12
MAFS.7.SP.2.4: Usemeasuresofcenterandmeasuresofvariabilityfornumericaldatafromrandomsamplestodrawinformalcomparativeinferencesabouttwopopulations.Forexample,decidewhetherthewordsinachapterofaseventh-gradesciencebookaregenerallylongerthanthewordsinachapterofafourth-gradesciencebook.
Topic10.Representingandinterpretingdata-Exploring""Representingdata,""pp.7-9,Block3,SAS-Exploring"Interpretinggraphs,"pp.1-4,Block5,SAS-MARStask:BestGuess,Block8-Exploring"Misleadinggraphs,"pp.8-12,Block10,SAS-Writtenreport,Block11
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MAFS.7.SP.3.5: Understandthattheprobabilityofachanceeventisanumberbetween0and1thatexpressesthelikelihoodoftheeventoccurring.Largernumbersindicategreaterlikelihood.Aprobabilitynear0indicatesanunlikelyevent,aprobabilityaround1/2indicatesaneventthatisneitherunlikelynorlikely,andaprobabilitynear1indicatesalikelyevent.
Topic9.Probability-Overview,Block1,SAS-Exploring"Definingprobability,"pp.1-2,Block2,SAS-Exploring"Definingprobability,"pp.3-5,Block3,SAS-Exploring"Definingprobability,"pp.6-10,Block4,SAS-MARStask:Counters,Block6-Exploring"Probabilityofcompoundevents,"pp.9-10,Block10,SAS
Topic11.Designingexperiments-Exploring""Cerealboxprize,""Block3,SAS-Exploring"Simulatingbaseballseasons,"Summary,Block4,SAS
MAFS.7.SP.3.6: Approximatetheprobabilityofachanceeventbycollectingdataonthechanceprocessthatproducesitandobservingitslong-runrelativefrequency,andpredicttheapproximaterelativefrequencygiventheprobability.Forexample,whenrollinganumbercube600times,predictthata3or6wouldberolledroughly200times,butprobablynotexactly200times.
Topic9.Probability-Overview,Block1,SAS-Exploring"Definingprobability,"pp.3-5,Block3,SAS-Exploring"Probabilityofcompoundevents,"pp.1-4,Block7,SAS-Exploring"Probabilityofcompoundevents,"pp.5-8,Block8,SAS-Exploring"Probabilityofcompoundevents,"pp.9-10,Block10,SAS-Exploring"Probabilityofcompoundevents,"pp.11-13,Block11,SAS
Topic11.Designingexperiments-Exploring""Simulations,""pp.1-2,Block1,SAS-Exploring"Simulations,"pp.3-7,Block2,SAS-Exploring"Cerealboxprize,"Block3,SAS
Developaprobabilitymodelanduseittofindprobabilitiesofevents.Compareprobabilitiesfromamodeltoobservedfrequencies;iftheagreementisnotgood,explainpossiblesourcesofthediscrepancy.
MAFS.7.SP.3.7:
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a. Developauniformprobabilitymodelbyassigningequalprobabilitytoalloutcomes,andusethemodeltodetermineprobabilitiesofevents.Forexample,ifastudentisselectedatrandomfromaclass,findtheprobabilitythatJanewillbeselectedandtheprobabilitythatagirlwillbeselected.
Topic9.Probability-Exploring"Definingprobability,"pp.1-2,Block2,SAS-Exploring"Definingprobability,"pp.3-5,Block3,SAS-Exploring"Definingprobability,"pp.6-10,Block4,SAS-Exploring"Definingprobability,"pp.11-13,Block5,SAS-MARStask:Counters,Block6,SAS-Exploring"Probabilityofcompoundevents,"pp.1-4,Block7,SAS-Exploring"Probabilityofcompoundevents,"pp.5-8,Block8,SAS-Exploring"Probabilityofcompoundevents,"pp.9-10,Block10,SAS-ExploringProbabilityofcompoundevents,"pp.11-13,Block11,SAS-Exploring""Dependentevents,""Block12,SAS
b. Developaprobabilitymodel(whichmaynotbeuniform)byobservingfrequenciesindatageneratedfromachanceprocess.Forexample,findtheapproximateprobabilitythataspinningpennywilllandheadsuporthatatossedpapercupwilllandopen-enddown.Dotheoutcomesforthespinningpennyappeartobeequallylikelybasedontheobservedfrequencies?
Topic9.Probability-Overview,Block1,SAS-Exploring"Definingprobability,"pp.1-2,Block2,SAS-Exploring"Definingprobability,"pp.3-5,Block3,SAS-Exploring"Definingprobability,"pp.6-10,Block4,SAS-Exploring"Probabilityofcompoundevents,""pp.5-8,Block8,SAS-Exploring"Probabilityofcompoundevents,""pp.9-10,Block10,SAS-Exploring"Probabilityofcompoundevents,""pp.11-13,Block11,SAS-Exploring"Dependentevents,""Block12,SAS
Findprobabilitiesofcompoundeventsusingorganizedlists,tables,treediagrams,andsimulation.a. Understandthat,justaswithsimpleevents,theprobabilityofacompoundeventisthefractionofoutcomesinthesamplespaceforwhichthecompoundeventoccurs.
Topic9.Probability-Exploring""Probabilityofcompoundevents,""pp.5-8,Block8,SAS-Exploring"Probabilityofcompoundevents,"pp.9-10,Block10,SAS-Exploring"Probabilityofcompoundevents,"pp.11-13,Block11,SAS-Exploring"Dependentevents,"Block12,SAS
b. Representsamplespacesforcompoundeventsusingmethodssuchasorganizedlists,tablesandtreediagrams.Foraneventdescribedineverydaylanguage(e.g.,“rollingdoublesixes”),identifytheoutcomesinthesamplespacewhichcomposetheevent.
Topic9.Probability-Exploring""Probabilityofcompoundevents,""pp.1-4,Block7,SAS-Exploring"Probabilityofcompoundevents,"pp.5-8,Block8,SAS-MARStask:Duckgame,Block9-Exploring"Probabilityofcompoundevents,"pp.9-10,Block10,SAS-Exploring"Probabilityofcompoundevents,"pp.11-13,Block11,SAS-Exploring"Dependentevents,"Block12,SAS
MAFS.7.SP.3.7:
MAFS.7.SP.3.8:
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c. Designanduseasimulationtogeneratefrequenciesforcompoundevents.Forexample,userandomdigitsasasimulationtooltoapproximatetheanswertothequestion:If40%ofdonorshavetypeAblood,whatistheprobabilitythatitwilltakeatleast4donorstofindonewithtypeAblood?
Topic11.Designingexperiments-Exploring""Simulations,""pp.1-2,Block1,SAS-Exploring"Simulations,"pp.3-7,Block2,SAS-Exploring"Cerealboxprize,"Block3,SAS-Exploring"Simulatingbaseballseasons,"Summary,Block4,SAS
Makesenseofproblemsandpersevereinsolvingthem.
Mathematicallyproficientstudentsstartbyexplainingtothemselvesthemeaningofaproblemandlookingforentrypointstoitssolution.Theyanalyzegivens,constraints,relationships,andgoals.Theymakeconjecturesabouttheformandmeaningofthesolutionandplanasolutionpathwayratherthansimplyjumpingintoasolutionattempt.Theyconsideranalogousproblems,andtryspecialcasesandsimplerformsoftheoriginalprobleminordertogaininsightintoitssolution.Theymonitorandevaluatetheirprogressandchangecourseifnecessary.Olderstudentsmight,dependingonthecontextoftheproblem,transformalgebraicexpressionsorchangetheviewingwindowontheirgraphingcalculatortogettheinformationtheyneed.Mathematicallyproficientstudentscanexplaincorrespondencesbetweenequations,verbaldescriptions,tables,andgraphsordrawdiagramsofimportantfeaturesandrelationships,graphdata,andsearchforregularityortrends.Youngerstudentsmightrelyonusingconcreteobjectsorpicturestohelpconceptualizeandsolveaproblem.Mathematicallyproficientstudentschecktheiranswerstoproblemsusingadifferentmethod,andtheycontinuallyaskthemselves,“Doesthismakesense?”Theycanunderstandtheapproachesofotherstosolvingcomplexproblemsandidentifycorrespondencesbetweendifferentapproaches.
Topic1.Usingratios-MARStask:Mixingpaints,Block5-MARStask:Cereal,Block7
Topic2.Ratiosandrates-Exploring“Unitrates”page7,Block4,SAS
Topic9.Probability-MARStask:Duckgame,Block9
Topic10.Representingandinterpretingdata-MARStask:Animals,Block3
Topic11.Designingexperiments-Constructedresponse
MAFS.7.SP.3.8:
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Reasonabstractlyandquantitatively.Mathematicallyproficientstudentsmakesenseofquantitiesandtheirrelationshipsinproblemsituations.Theybringtwocomplementaryabilitiestobearonproblemsinvolvingquantitativerelationships:theabilitytodecontextualize—toabstractagivensituationandrepresentitsymbolicallyandmanipulatetherepresentingsymbolsasiftheyhavealifeoftheirown,withoutnecessarilyattendingtotheirreferents—andtheabilitytocontextualize,topauseasneededduringthemanipulationprocessinordertoprobeintothereferentsforthesymbolsinvolved.Quantitativereasoningentailshabitsofcreatingacoherentrepresentationoftheproblemathand;consideringtheunitsinvolved;attendingtothemeaningofquantities,notjusthowtocomputethem;andknowingandflexiblyusingdifferentpropertiesofoperationsandobjects.
Topic1.Usingratios-Exploring“Proportionalreasoningindifferentsituations”page6-Exploring“Applyingproportionalreasoning”pages1,6
Topic3.Patternsinproportionalrelationships-Exploring“Proportionalandnon-proportionalrelationships”page5,Block3,SAS
Topic9.Probability-Exploring“Definingprobability”page3,Block3,SAS
Topic8.Equationsandinequalities-Exploring“Modelingandsolvinglinearequations”page1,Block2,SAS
Topic12.Anglesandtriangles-Exploring“Anglerelationships”pages7-8,Block3,SAS
MAFS.K12.MP.2.1:
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Constructviableargumentsandcritiquethereasoningofothers.
Mathematicallyproficientstudentsunderstandandusestatedassumptions,definitions,andpreviouslyestablishedresultsinconstructingarguments.Theymakeconjecturesandbuildalogicalprogressionofstatementstoexplorethetruthoftheirconjectures.Theyareabletoanalyzesituationsbybreakingthemintocases,andcanrecognizeandusecounterexamples.Theyjustifytheirconclusions,communicatethemtoothers,andrespondtotheargumentsofothers.Theyreasoninductivelyaboutdata,makingplausibleargumentsthattakeintoaccountthecontextfromwhichthedataarose.Mathematicallyproficientstudentsarealsoabletocomparetheeffectivenessoftwoplausiblearguments,distinguishcorrectlogicorreasoningfromthatwhichisflawed,and—ifthereisaflawinanargument—explainwhatitis.Elementarystudentscanconstructargumentsusingconcretereferentssuchasobjects,drawings,diagrams,andactions.Suchargumentscanmakesenseandbecorrect,eventhoughtheyarenotgeneralizedormadeformaluntillatergrades.Later,studentslearntodeterminedomainstowhichanargumentapplies.Studentsatallgradescanlistenorreadtheargumentsofothers,decidewhethertheymakesense,andaskusefulquestionstoclarifyorimprovethearguments.
Topic1.Usingratios-MARStask:Mixingpaints,Block5-MARStask:Cereal,Block7
Topic2.Ratiosandrates-Exploring“Unitrates”page7,Block4
Topic3.PatternsInproportionalrelationships-Exploring“Proportionalandnon-proportionalrelationships”page6,Block3,SAS
Topic8.Equationsandinequalities-Constructedresponse1,Block6
Topic12.Anglesandtriangles-Block7,StudentActivitySheet
Topic10.Representingandinterpretingdata-MARStask:BestGuess,Block8
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Modelwithmathematics.Mathematicallyproficientstudentscanapplythemathematicstheyknowtosolveproblemsarisingineverydaylife,society,andtheworkplace.Inearlygrades,thismightbeassimpleaswritinganadditionequationtodescribeasituation.Inmiddlegrades,astudentmightapplyproportionalreasoningtoplanaschooleventoranalyzeaprobleminthecommunity.Byhighschool,astudentmightusegeometrytosolveadesignproblemoruseafunctiontodescribehowonequantityofinterestdependsonanother.Mathematicallyproficientstudentswhocanapplywhattheyknowarecomfortablemakingassumptionsandapproximationstosimplifyacomplicatedsituation,realizingthatthesemayneedrevisionlater.Theyareabletoidentifyimportantquantitiesinapracticalsituationandmaptheirrelationshipsusingsuchtoolsasdiagrams,two-waytables,graphs,flowchartsandformulas.Theycananalyzethoserelationshipsmathematicallytodrawconclusions.Theyroutinelyinterprettheirmathematicalresultsinthecontextofthesituationandreflectonwhethertheresultsmakesense,possiblyimprovingthemodelifithasnotserveditspurpose.
Topic1.Usingratios-Exploring“Applyingproportionalreasoning”page1-MARStask:Cereal,Block7
Topic3.Patternsinproportionalrelationships-MARStask:TilingSquares,Block8
Topic5.Addingandsubtractingintegers-Exploring“Usingthenumberline”pages1-4-Exploring“Usingtheverticalnumberline”page1
Topic9.Probability-MARStask:Counters,Block6
Topic12.Anglesandtriangles-Block2,StudentActivitySheet
Topic13.Solvingproblemswith2-Dshapes-Exploring“Estimatingareas”page4,Block3,SAS
MAFS.K12.MP.4.1:
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Useappropriatetoolsstrategically.
Mathematicallyproficientstudentsconsidertheavailabletoolswhensolvingamathematicalproblem.Thesetoolsmightincludepencilandpaper,concretemodels,aruler,aprotractor,acalculator,aspreadsheet,acomputeralgebrasystem,astatisticalpackage,ordynamicgeometrysoftware.Proficientstudentsaresufficientlyfamiliarwithtoolsappropriatefortheirgradeorcoursetomakesounddecisionsaboutwheneachofthesetoolsmightbehelpful,recognizingboththeinsighttobegainedandtheirlimitations.Forexample,mathematicallyproficienthighschoolstudentsanalyzegraphsoffunctionsandsolutionsgeneratedusingagraphingcalculator.Theydetectpossibleerrorsbystrategicallyusingestimationandothermathematicalknowledge.Whenmakingmathematicalmodels,theyknowthattechnologycanenablethemtovisualizetheresultsofvaryingassumptions,exploreconsequences,andcomparepredictionswithdata.Mathematicallyproficientstudentsatvariousgradelevelsareabletoidentifyrelevantexternalmathematicalresources,suchasdigitalcontentlocatedonawebsite,andusethemtoposeorsolveproblems.Theyareabletousetechnologicaltoolstoexploreanddeepentheirunderstandingofconcepts.
Topic8.Equationsandinequalities-Exploring“Solvingandgraphinginequalities”page11,Block9,SAS
Topic10.Representingandinterpretingdata-Exploring“Representingdata”page9,Block3,SAS
Topic12.Anglesandtriangles-Exploring“Anglerelationships”page3,panels5and7-Block7,StudentActivitySheet
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Attendtoprecision.
Mathematicallyproficientstudentstrytocommunicatepreciselytoothers.Theytrytousecleardefinitionsindiscussionwithothersandintheirownreasoning.Theystatethemeaningofthesymbolstheychoose,includingusingtheequalsignconsistentlyandappropriately.Theyarecarefulaboutspecifyingunitsofmeasure,andlabelingaxestoclarifythecorrespondencewithquantitiesinaproblem.Theycalculateaccuratelyandefficiently,expressnumericalanswerswithadegreeofprecisionappropriatefortheproblemcontext.Intheelementarygrades,studentsgivecarefullyformulatedexplanationstoeachother.Bythetimetheyreachhighschooltheyhavelearnedtoexamineclaimsandmakeexplicituseofdefinitions.
Topic1.Usingratios-Exploring“Proportionalreasoningindifferentsituations”page4,Block2,SAS-MARStask:Cereal,Block7Topic4.Applicationsofpercents-Exploring“Applyingpercentstobusinesssituations”pages4-6,Block5,SAS-MARStask:25%Sale,Block8
Topic7.Rationalnumbers-Exploring“Applyingrationalnumberoperations”page6,Block7,SAS
Topic13.Solvingproblemswith2-Dshapes-Constructedresponse1-3
Lookforandmakeuseofstructure.
Mathematicallyproficientstudentslookcloselytodiscernapatternorstructure.Youngstudents,forexample,mightnoticethatthreeandsevenmoreisthesameamountassevenandthreemore,ortheymaysortacollectionofshapesaccordingtohowmanysidestheshapeshave.Later,studentswillsee7×8equalsthewellremembered7×5+7×3,inpreparationforlearningaboutthedistributiveproperty.Intheexpressionx²+9x+14,olderstudentscanseethe14as2×7andthe9as2+7.Theyrecognizethesignificanceofanexistinglineinageometricfigureandcanusethestrategyofdrawinganauxiliarylineforsolvingproblems.Theyalsocanstepbackforanoverviewandshiftperspective.Theycanseecomplicatedthings,suchassomealgebraicexpressions,assingleobjectsorasbeingcomposedofseveralobjects.Forexample,theycansee5–3(x–y)²as5minusapositivenumbertimesasquareandusethattorealizethatitsvaluecannotbemorethan5foranyrealnumbersxandy.
Topic4.Applicationsofpercents-Overviewpage3,Block1,SAS
Topic8.Equationsandinequalities-Exploring“Linearexpressionsandequations”page1,Block4,SAS-Constructedresponse1,Block6-Exploring“Solvingandgraphinginequalities”page5,Block8,SAS
Topic12.Anglesandtriangles-Exploring“Anglerelationships”pages7-8,Block3,SAS
Topic13.Solvingproblemswith2-Dshapes-Exploring“Frompolygonstocircles”pages6-12,Block2,SAS
MAFS.K12.MP.6.1:
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Lookforandexpressregularityinrepeatedreasoning.Mathematicallyproficientstudentsnoticeifcalculationsarerepeated,andlookbothforgeneralmethodsandforshortcuts.Upperelementarystudentsmightnoticewhendividing25by11thattheyarerepeatingthesamecalculationsoverandoveragain,andconcludetheyhavearepeatingdecimal.Bypayingattentiontothecalculationofslopeastheyrepeatedlycheckwhetherpointsareonthelinethrough(1,2)withslope3,middleschoolstudentsmightabstracttheequation(y–2)/(x–1)=3.Noticingtheregularityinthewaytermscancelwhenexpanding(x–1)(x+1),(x–1)(x²+x+1),and(x–1)(x³+x²+x+1)mightleadthemtothegeneralformulaforthesumofageometricseries.Astheyworktosolveaproblem,mathematicallyproficientstudentsmaintainoversightoftheprocess,whileattendingtothedetails.Theycontinuallyevaluatethereasonablenessoftheirintermediateresults.
Topic3.Patternsinproportionalrelationships-MARStask:TilingSquares,Block8
Topic8.Equationsandinequalities-Exploring“Modelingandsolvinglinearequations”pages1-8
Topic13.Solvingproblemswith2-Dshapes-Exploring“Frompolygonstocircles”pages6-12,Block2,SAS
LAFS.68.RST.1.3: Followpreciselyamultistepprocedurewhencarryingoutexperiments,takingmeasurements,orperformingtechnicaltasks.
Topic11:Representingandinterpretingdata-Exploring"Representingdata,"page6
LAFS.68.RST.2.4: Determinethemeaningofsymbols,keyterms,andotherdomain-specificwordsandphrasesastheyareusedinaspecificscientificortechnicalcontextrelevanttogrades6–8textsandtopics.
Topic16:Anglesandtriangles-Overview,pp.1-3,SAS,Block1
LAFS.68.RST.3.7: Integratequantitativeortechnicalinformationexpressedinwordsinatextwithaversionofthatinformationexpressedvisually(e.g.,inaflowchart,diagram,model,graph,ortable).
Topic11:Representingandinterpretingdata-Exploring"Interpretinggraphs,"pp.1-4
Writeargumentsfocusedondiscipline-specificcontent.a. Introduceclaim(s)aboutatopicorissue,acknowledgeanddistinguishtheclaim(s)fromalternateoropposingclaims,andorganizethereasonsandevidencelogically.
Topic4.Applicationsofpercents-MARSTask"25%Sale"-MARSTask"Fudge"
MAFS.K12.MP.8.1:
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b. Supportclaim(s)withlogicalreasoningandrelevant,accuratedataandevidencethatdemonstrateanunderstandingofthetopicortext,usingcrediblesources.
c. Usewords,phrases,andclausestocreatecohesionandclarifytherelationshipsamongclaim(s),counterclaims,reasons,andevidence.d. Establishandmaintainaformalstyle.e. Provideaconcludingstatementorsectionthatfollowsfromandsupportstheargumentpresented.
LAFS.68.WHST.2.4: Produceclearandcoherentwritinginwhichthedevelopment,organization,andstyleareappropriatetotask,purpose,andaudience.
Topic4.Applicationsofpercents-MARSTask"25%Sale"-MARSTask"Fudge"
Engageeffectivelyinarangeofcollaborativediscussions(one-on-one,ingroups,andteacher-led)withdiversepartnersongrade7topics,texts,andissues,buildingonothers’ideasandexpressingtheirownclearly.a. Cometodiscussionsprepared,havingreadorresearchedmaterialunderstudy;explicitlydrawonthatpreparationbyreferringtoevidenceonthetopic,text,orissuetoprobeandreflectonideasunderdiscussion.b. Followrulesforcollegialdiscussions,trackprogresstowardspecificgoalsanddeadlines,anddefineindividualrolesasneeded.c. Posequestionsthatelicitelaborationandrespondtoothers’questionsandcommentswithrelevantobservationsandideasthatbringthediscussionbackontopicasneeded.d. Acknowledgenewinformationexpressedbyothersand,whenwarranted,modifytheirownviews.
LAFS.7.SL.1.2: Analyzethemainideasandsupportingdetailspresentedindiversemediaandformats(e.g.,visually,quantitatively,orally)andexplainhowtheideasclarifyatopic,text,orissueunderstudy.
Topic15:Effectsofchange-Constructedresponse,page1
LAFS.7.SL.1.3: Delineateaspeaker’sargumentandspecificclaims,evaluatingthesoundnessofthereasoningandtherelevanceandsufficiencyoftheevidence.
Topic5:Applicationofpercent-Constructedresponse,page1
Topic4.Applicationsofpercents-MARSTask"25%Sale"-MARSTask"Fudge"
Topic1:Usingratios-MARStask:Mixingpaint,Block5
LAFS.7.SL.1.1:
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LAFS.7.SL.2.4: Presentclaimsandfindings,emphasizingsalientpointsinafocused,coherentmannerwithpertinentdescriptions,facts,details,andexamples;useappropriateeyecontact,adequatevolume,andclearpronunciation.
Topic10:Representingandinterpretingdata-MARStask"BestGuess;"Block8
ELD.K12.ELL.MA.1: Englishlanguagelearnerscommunicateinformation,ideasandconceptsnecessaryforacademicsuccessinthecontentareaofMathematics.
Topic1:Usingratios-MARStask:Mixingpaint,Block6
ELD.K12.ELL.SI.1: Englishlanguagelearnerscommunicateforsocialandinstructionalpurposeswithintheschoolsetting.
Topic9.Probability-MarsTask"Counters,"Block6