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  • Grade7MathAlgebraReadiness

    Authors:HeidiSwanson,LeAnnWimmer,PatMueller,DennisKucera,MeganWaldbillig,KatieKruegerRaiche,TrishaPendellSeptember2015Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    CEQ: HOWARE

    NUMBERSENSEANDMATHEMATICALOPERATIONSAPPLIEDINPREALGEBRA?

    HOWAREALGEBRAICEQUATIONSSOLVEDANDLINEARRELATIONSHIPSGRAPHED?

    HOWAREFORMULASUSEDTOMEASURESURFACEAREAANDVOLUMEOFGEOMETRICFIGURESWITHCUSTOMARY

    Chapter1:AlgebraicExpressionsA.Variableandexpressions

    A1.Identifyandwritenumericalandvariableexpressions

    A2.Evaluatevariableexpressions

    A3.Solveproblemsbyevaluatingexpressions

    B.Orderofoperations

    B1.Applytheorderofoperations

    Chapter1:AlgebraicExpressionsLearningTarget#1:

    Icanidentify,write,andevaluatenumericalandvariableexpressions.

    LearningTarget#2:

    Icanperformtheorderofoperationsusingintegers.

    LearningTarget#3:

    Icanrepresent,graph,andorderintegers.Icandetermineabsolutevalue.LearningTarget#4:

    Chapter1:AlgebraicExpressionsA.VariablesandexpressionsB.OrderofoperationsC.IntegersandabsolutevalueCFA:QuizonACCSA:Chapter1TESTonAE

    Chapter1:AlgebraicExpressionsPrenticeHallMathematics:AlgebraReadinessUnitAssessments:S:\MiddleSchool\7thGrade\MathStuffKeyVocabulary:

    absolutevalue expressions

    (numericalandvariable)

    evaluate integers inverseoperations orderofoperations variable

    119

  • ANDMETRICSYSTEMS?

    HOWAREVARIOUSGRAPHSANDMEASURESOFCENTRALTENDENCYUSEDTOMODELDATA?

    UEQ:Chapter1AlgebraicExpressionsHowcanIusevariablesandoperationstowriteanexpression?

    Howareintegersusedtoperformoperations?

    WhatisthemeaningofabsolutevalueandhowcanIdetermineit'svalue?

    Howarepointsgraphedinacoordinateplane?

    C.Integersandabsolutevalue

    C1.Determineabsolutevalue

    C2.Representandorderintegers

    D.Operationswithintegers

    D1.Applyrulesandusemodelstoadd,subtract,multiply,anddivideintegers

    E.Coordinateplane

    E1.Identifycoordinatesandquadrants

    E2.Graphorderedpairs

    Icanidentifythepartsofacoordinateplaneandgraphorderedpairs.

    219

  • October2015Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    UEQ:Chapter2SolvingOneStepEquationsandInequalities

    Howarethepropertiesofnumbers(identity,inverse,distributive,associative,andcommutative)applied?

    Howareequationswrittenandsolved?

    Howareinequalitieswritten,solved,andgraphed?

    Chapter2:SolvingOneStepEquationsandInequalitiesA.PropertiesofNumbersA1.IdentifyandusepropertiesA2.ApplythedistributivepropertytonumericalandalgebraicexpressionsB.Variables,VariableExpressions,andEquationsB1.IdentifypartsofandsimplifyvariableexpressionsB2.ClassifytypesofequationsB3.CheckequationsusingsubstitutionC.SolvingEquations

    Chapter2:SolvingOneStepEquationsandInequalities

    LearningTarget#1:

    Icanidentifyandapplythepropertiesofnumbers(commutative,associative,identity,anddistributive)

    LearningTarget#2:

    Icanclassifyandsolveonestepequationsusinginverseoperations.

    LearningTarget#3:

    Icansolveandgraphonestepinequalitiesusinginverseoperations.

    Chapter2:SolvingOneStepEquationsandInequalitiesA.PropertiesofNumbersB.Variables,VariableExpressions,andEquationsCFA:QUIZonAB1C.SolvingEquationsUsingOperationsD.SolvingOneStepInequalitiesUsingOperationsCFA:QUIZonB2D1CSA:Chapter2Test

    Chapter2:SolvingOneStepEquationsandInequalitiesPrenticeHallMathematics:AlgebraReadinessUnitTestsS:\MiddleSchool\7thGrade\MathStuffKeyVocabulary:

    CommutativeProperty

    AssociativeProperty

    IdentityProperty Distributive

    Property Coefficient Constant LikeTerms InverseOperations Equation Inequality

    319

    http://stuff/http://stuff/

  • UsingOperationsC1.UseoperationstosolveequationsD.SolvingOneStepInequalitiesUsingOperationsD1.GraphinequalitiesD2.Useoperationstosolveinequalities

    Solution

    November2015Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    UEQ:Chapter3DecimalsandEquations

    Howcandecimalsbeusedtoestimateandsolveequations?

    Howdoyouconvertmetricunitsofmeasure?

    Chapter3:DecimalsandEquations

    A.RoundingandEstimating

    A1.RoundDecimals

    A2.Estimatesums,differences,products,andquotients

    ***ReviewAllDecimalOperations

    Chapter3:DecimalsandEquationsLearningTarget#1:

    Icanroundandestimatewithdecimals.

    LearningTarget#2:

    Icansolveonestepequationsthathavedecimalsinthem.

    LearningTarget#3:

    Chapter3:DecimalsandEquationsA.RoundingandEstimatingB.SolvingOneStepEquationsInvolvingDecimalsCFA:QUIZonABCSA:Chapter3Test

    Chapter3:DecimalsandEquationsPrenticeHallMathematics:AlgebraReadinessUnitTestsS:\MiddleSchool\7thGrade\MathStuffJoeDecimalMovieClipsS:\MiddleSchool\7thGrade\MathStuffYouTubeVideoTheRappin'

    419

  • B.SolvingOneStepEquationsInvolvingDecimals

    B1.Usethefouroperationstosolveequations

    C.Formulas

    C1.Substituteintoformulas

    D.UsingMetricSystem

    D1.ConvertMetricUnits

    D2.IdentifyAppropriateMetricUnits

    Icansubstituteintoandevaluateformulas.

    LearningTarget#4:

    Icanconvertmetricunitsofmeasurement

    MathematicianDecimalshttp://www.youtube.com/watch?v...KeyVocabulary:

    CompatibleNumbers

    Formula

    December2015Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    UEQ:Chapter4Factors,Fractions,andExponents

    Chapter4:Factors,Fractions,andExponentsA.DivisibilityandFactorsA1.Usedivisibilitytests

    Chapter4:Factors,Fractions,andExponentsLearningTarget#1:

    Chapter4:Factors,Fractions,andExponentsA.DivisibilityandFactors

    Chapter4:Factors,Fractions,andExponentsPrenticeHallMathematics:Algebra

    519

    http://www.youtube.com/watch?v=V6pZyY6mM3g&feature=relatedhttp://www.youtube.com/watch?v=V6pZyY6mM3g&feature=related

  • Howareexpressionssimplifiedusingexponents?

    Howcanfractionsbesimplified?

    Howcanscientificnotationbewrittenandcalculated?

    Howcanproblemsbesolvedbyfirstsolvingasimplerproblem?

    A2.FindfactorsB.ExponentsB1.UseexponentsB2.ApplytheOrderofOperationswithexponentsC.PrimeFactorizationandGreatestCommonFactorC1.FindprimefactorizationC2.DeterminegreatestcommonfactorD.FractionsD1.CalculateequivalentfractionsD2.SimplifyfractionsE.RationalNumbersE1.IdentifyrationalnumbersE2.EvaluatefractionscontainingvariablesF.ExponentswithMultiplicationandDivisionF1.MultiplypowerswiththesamebaseF2.Findapowerofa

    Icanfindfactorsusingdivisibilitytestsandprimefactorization.

    LearningTarget#2:

    Icansimplifyexpressionswithexponents.

    LearningTarget#3:

    Icansimplifyfractionswithnumbersandvariables.LearningTarget#4:

    Icanidentifyandevaluateexpressionsusingrationalnumbers.

    LearningTarget#5:

    Icanwritenumbersinstandardandscientificnotation.

    B.ExponentsC.PrimeFactorizationandGreatestCommonFactorD.FractionsCFA:QUIZonADE.RationalNumbersF.ExponentswithMultiplicationandDivisionCFA:QUIZonEFG.ScientificNotationCSA=Chapter4UnitTest

    ReadinessUnitTestsS:\MiddleSchool\7thGrade\MathStuffKeyVocabulary:

    Prime Composite Factor Divisible Exponents RationalNumber ScientificNotation Prime

    Factorization GreatestCommon

    Factor(GCF)

    619

    http://stuff/http://stuff/

  • powerF3.DividepowerswiththesamebaseF4.SimplifyexpressionswithintegerexponentsG.ScientificNotationG1.Write,calculate,andevaluatescientificnotation

    startDecember2015andfinishJanuary2016Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    UEQ:Chapter5OperationswithFractions

    Howareoperationsperformedwithfractions?

    Howarefractionsusedtosolveequations?

    Howarepowersofproductsandquotientsfound?

    Chapter5:OperationswithFractionsA.RationalNumbersA1.CompareandOrderB.FractionsandDecimalsB1.ConvertfractionstodecimalsB2.ConvertdecimalstofractionsC.OperationswithFractionsC1.Add

    Chapter5:OperationswithFractionsLearningTarget#1:

    Icanconvert,order,andgraphfractionsanddecimals.

    LearningTarget#2:Icanadd,subtract,multiply,anddividefractions.

    Chapter5:OperationswithFractionsA.RationalNumbersB.FractionsandDecimalsC.OperationswithFractionsC1.AddC2.SubtractE.OneStepEquationsE1.Solveequationsbyaddingorsubtractingfractions

    Chapter5:OperationswithFractionsPrenticeHallMathematics:AlgebraReadinessUnitTestsS:\MiddleSchool\7thGrade\MathStuffLearningTargetExamples:S:\MiddleSchool\7thGrade\MathStuff

    719

  • C2.SubtractE.OneStepEquationsE1.SolveequationsbyaddingorsubtractingfractionsC.OperationswithFractionsC3.MultiplyC4.DivideE.OneStepEquationsE2.SolveequationsbymultiplyingfractionsD.CustomaryUnitsofMeasureD1.ConvertbetweencustomaryunitsD2.ApplydimensionalanalysisF.PowersofProductsandQuotientsF1.FindpowersofproductsF2.Findpowersof

    LearningTarget#3:

    Icansolveequationsbyadding,subtracting,multiplying,anddividingfractions.

    LearningTarget#4:

    Icanfindpowersofproductsandquotients.

    CFA:QuizonAC2andE1C.OperationswithFractionsC3.MultiplyC4.DivideE.OneStepEquationsE2.SolveequationsbymultiplyingfractionsD.CustomaryUnitsofMeasureD1.ConvertbetweencustomaryunitsD2.ApplydimensionalanalysisCFA:QuizonC3DandE2F.PowersofProductsandQuotientsCSA:TestonChapter5

    KeyVocabulary:

    Multiple LeastCommon

    Multiple(LCM) Reciprocal Repeating

    Decimal Terminating

    Decimal

    819

  • UEQ:Chapter6

    Ratios,Proportions,andPercents

    Howarepercentsusedandfound?

    quotientsChapter6:Ratios,Proportions,andPercentsA.RatiosandUnitRatesA1.DetermineratiosA2.SolveunitratesB.ProportionsB1.SolveproportionsB2.ApplyproportionstoproblemsolvingC.SimilarFiguresandScaleDrawingsC1.DetermineunknownsinsimiliarfiguresC2.DetermineunknownsinscaledrawingsD.Fractions,Decimals,andPercentsD1.WritepercentsasfractionsanddecimalsD2.Writedecimalsasfractionsandpercents

    Chapter6:Ratios,Proportions,andPercents

    LearningTarget#1:Icanwriteandsimplifyratiosandrates.LearningTarget#2:Icanwriteandsolveproportionslikethese:LearningTarget#3:Icanfindprobabilityandodds.Forexample,Icansolveproblemslikethese:Whatistheprobabilityofrollinga2onanumbercube(die)?Whataretheoddsinfavorofrollinganumberlessthan3onanumbercube(die)?LearningTarget#4:

    Chapter6:Ratios,Proportions,andPercentsA.RatiosandUnitRatesB.ProportionsC.SimilarFiguresandScaleDrawingsCFA:QuizonACD.Fractions,Decimals,andPercentsE.PercentswithProportionsandEquationsF.PercentofChangeCFA:QuizonDFG.MarkupandDiscountCSA:Chapter6Test

    Chapter6:Ratios,Proportions,andPercentsPrenticeHallMathematics:AlgebraReadinessUnitTestsS:\MiddleSchool\7thGrade\MathStuffPercentofDecreaseBiggestLoserYouTube

    919

  • D3.OrderrationalnumbersE.PercentswithProportionsandEquationsE1.Findparts,wholes,andpercentswithproportionsE2.Findparts,wholes,andpercentswithequationsF.PercentofChangeF1.DeterminepercentofincreaseF2.DeterminepercentofdecreaseG.MarkupandDiscountG1.CalculatemarkupG2.Calculatediscount

    Icanchangebetweenfractions,decimals,andpercents.

    cliphttp://www.youtube.com/watch?v=FxFynAO6I6w&feature=relatedhttp://www.youtube.com/watch?v=LdyK9121NQo&feature=relatedLearningTargetExamples:S:\MiddleSchool\7thGrade\MathStuffKeyVocabulary:

    Ratios UnitRates Percent Proportion Markup Discount Commission ScaleDrawing SimilarFigure

    1019

    http://www.youtube.com/watch?v=FxFynAO6I6w&feature=relatedhttp://www.youtube.com/watch?v=FxFynAO6I6w&feature=relatedhttp://www.youtube.com/watch?v=FxFynAO6I6w&feature=relatedhttp://www.youtube.com/watch?v=LdyK9121NQo&feature=relatedhttp://www.youtube.com/watch?v=LdyK9121NQo&feature=relatedhttp://www.youtube.com/watch?v=LdyK9121NQo&feature=related

  • PercentofChange

    February2016Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    UEQ:Chapter7SolvingEquationsandInequalities

    Howaremultistepequationswrittenandsolved?

    Howaretwostepinequalitieswrittenandsolved?

    Howaresimpleandcompoundinterestcalculated?

    Chapter7:SolvingEquationsandInequalitiesA.MultiStepEquationsA1.UsepropertiestosolvemultistepequationsA2.CombineliketermsA3.ApplythedistributivepropertyA4.SolvemultistepequationswithfractionsanddecimalsA5.ApplythewritingequationsproblemsolvingstrategyB.EquationswithVariablesonBothSidesB1.SolveequationsB2.Useequations

    Chapter7:SolvingEquationsandInequalitiesLearningTarget#1:Icanwriteandsolvemultistepequationslikethese:4(m7)+5m=6m+2LearningTarget#2:Icanwriteandsolvetwostepinequalitieslikethese:6a+3>27LearningTarget#3:Icancalculatesimpleandcompoundinterest.

    Chapter7:SolvingEquationsandInequalitiesA.MultiStepEquationsCFA:QuizonAB.EquationswithVariablesonBothSidesC.TwoStepInequalitiesD.TransformingFormulasCFA:QuizonBDE.SimpleandCompoundInterestCSA:Chapter7Test

    Chapter7:SolvingEquationsandInequalitiesPrenticeHallMathematics:AlgebraReadinessUnitTestsS:\MiddleSchool\7thGrade\MathStuffKeyVocabulary:

    Interest SimpleInterest CompoundInterest InterestRate Principal

    1119

  • C.TwoStepInequalitiesC1.SolveinequalitiesC2.UseinequalitiesD.TransformingFormulasD1.SolveformulasD2.UseformulasE.SimpleandCompoundInterestE1.SolvesimpleinterestE2.Solvecompoundinterest

    1219

  • March2016Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    UEQ:Chapter8LinearFunctionsandGraphing

    Whenisarelationafunction?

    Howarelinearequationsandinequalitiessolved?

    Howaresystemsoflinearequationsandinequalitiessolved?

    Howisaproblemsolvedbygraphing?

    A.RelationsandFunctionsB.EquationswithTwoVariablesC.SlopeandYInterceptD.RulesforLinearFunctionsE.ScatterPlotsF.SystemsofLinearEquations

    Chapter8LinearFunctionsandGraphingSkipLesson81(IncorporatetheVerticalLineTestfromthislessoninLessons2and3)B.EquationswithTwoVariablesB1.SolvetwovariableequationsB2.GraphtwovariableequationsC.SlopeandYInterceptC1.DetermineslopeandyinterceptC2.UseslopeandyintercepttographlinearequationsD.RulesforLinearFunctions(SKIPExample1fromLesson84forRegularClasses)D2.Writerulesfromtablesandgraphs

    Chapter8LinearFunctionsandGraphingLearningTarget#1:

    Icanwrite,graph,andidentifythepartsoflinearequationslikethese:

    y=2x3ory=2x+7

    LearningTarget#2:

    Icanusetheslopeinterceptformoflinearequations:

    y=mx+b

    LearningTarget#3:

    Icansolveandgraphsystemsoflinearequationslikethese:

    y=x+5y=2x+8

    LearningTarget#4:

    Chapter8LinearFunctionsandGraphingA.VerticalLineTestB.EquationswithTwoVariablesC.SlopeandYInterceptD.RulesforLinearFunctionsAD.SummativeQuiz#1shortanswer(CSA)F.SystemsofLinearEquationsG.SystemsofLinearInequalitiesFG.SummativeQuiz#2shortanswer(CSA)

    Chapter8LinearFunctionsandGraphingPrenticeHallMathematics:AlgebraReadinessUnitTestsS:\MiddleSchool\7thGrade\MathStuffKeyVocabulary:

    Function LinearEquation LinearInequality Slope YIntercept SlopeIntercept

    Form Constantof

    Variation DirectVariation

    1319

  • G.SystemsofLinearInequalities

    F.SystemsofLinearEquationsF1.GraphsystemsoflinearequationsF2.UsesystemsoflinearequationsG.SystemsofLinearInequalitiesG1.GraphlinearinequalitiesG2.Graphsystemsoflinearinequalities***AfterChapter8:TeachLesson121onHistogramsandCompletetheStemandLeafPlotActivityLabfrompage646beforemovingontoChapter9(Onlyformativeassessmentsusedforthesetwolessons)

    Icansolveandgraphsystemsoflinearinequalitieslikethese:

    y2x5

    1419

  • April2016Content

    Skills

    LearningTargets

    Assessment

    Resources&Technology

    UEQ:Chapter9:SpatialThinking

    Howarepropertiesoffiguresusedtosolveproblems?

    Howaregeometricfiguresclassified?

    Howcandrawingadiagramhelptosolveaproblem?

    A.Points,Lines,andPlanesB.AnglesandParallelLinesC.PolygonsD.CongruenceE.CirclesF.TranslationsG.SymmetryandReflectionsH.Rotations

    Chapter9:SpatialThinking

    D.CongruenceD1.IdentifycorrespondingpartsD2.IdentifycongruenttrianglesE.CirclesE1.FindcircumferenceE2.ConstructcirclegraphsF.TranslationsF1.GraphtranslationsF2.DescribetranslationsG.SymmetryandReflectionsG1.IdentifylinesofsymmetryG2.GraphreflectionsH.RotationsH1.GraphrotationsH2.Recognizerotational

    Chapter9:SpatialThinking

    LearningTarget#1:

    Icanidentifythecongru...

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