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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

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

E.Coordinateplane

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

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

419

• B.SolvingOneStepEquationsInvolvingDecimals

B1.Usethefouroperationstosolveequations

C.Formulas

C1.Substituteintoformulas

D.UsingMetricSystem

D1.ConvertMetricUnits

D2.IdentifyAppropriateMetricUnits

Icansubstituteintoandevaluateformulas.

LearningTarget#4:

Icanconvertmetricunitsofmeasurement

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

• 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.

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:OperationswithFractionsLearningTarget#1:

Icanconvert,order,andgraphfractionsanddecimals.

719

LearningTarget#3:

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

919

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

Icanchangebetweenfractions,decimals,andpercents.

Ratios UnitRates Percent Proportion Markup Discount Commission ScaleDrawing SimilarFigure

1019

• 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

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:

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?