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RISDMathConcepts- FirstTeach 6thConcepts NumericReasoning AdditionalPre-AP6thConcepts NumericReasoning Exponents 7thConcepts 8thConcepts NumericReasoning NumericReasoning NumericReasoning IrrationalNumbers ScientificNotation ScientificNotation SquareRoots/Radicals IrrationalNumbers SquareRoots/Radicals Percents Integers SquareNumbers RationalNumbers AlgebraicReasoning Expressions OrderofOperations Ratios/Rates Relations/Functions Pre-AP7thConcepts AlgebraicReasoning Rateofchange AlgebraicReasoning Rateofchange AlgebraicReasoning Slope Systemsofequations AlgebraicReasoning Slope Systemsofequations Relations/Functions Constantofproportionality Relations/Functions Constantofproportionality Relations/Functions Linearrelationships Non-Linearrelationships Directvariation Relations/Functions Linearrelationships Non-Linearrelationships Directvariation Proportionalrelationships Non-Proportionalrelationships Relations/IdentificationofFunctions GeometricReasoning PythagoreanTheorem Dilation Proportionalrelationships Non-Proportionalrelationships Relations/IdentificationofFunctions GeometricReasoning PythagoreanTheorem Dilation GeometricReasoning ScaleFactors Geometricproperties GeometricReasoning Similarity GeometricReasoning Similarity MeasurementReasoning Conversionswithinsystems MeasurementReasoning Circumference MeasurementReasoning Conversionsbetweensystems SurfaceArea Circumference MeasurementReasoning DimensionalChange SurfaceArea MeasurementReasoning DimensionalChange StatisticalReasoning SummaryStatistics StatisticalReasoning StatisticalReasoning StatisticalReasoning TrendLines StatisticalReasoning TrendLines ProbabilisticReasoning N/A ProbabilisticReasoning PersonalFinancialLiteracy assets/liabilities budgets creditreports deposits/withdrawals/transfers paymentmethods taxes PersonalFinancialLiteracy monetaryincentives ProbabilisticReasoning Conclusions/Predictions Independence/DependenceofEvents Outcomes ProbabilityofanEvent SampleSpace Simulations Conditional/Theoretical/Experimental/Empiri calProbability PersonalFinancialLiteracy borrowing/lending/credit ProbabilisticReasoning ProbabilisticReasoning Conclusions/Predictions Independence/DependenceofEvents Outcomes ProbabilityofanEvent SampleSpace Simulations Conditional/Theoretical/Experimental/Empiri calProbability PersonalFinancialLiteracy PersonalFinancialLiteracy investment/savingsplan investment/savingsplan 2015-2016 RISDMathConcepts- FirstTeach Pre-APandRegularAlgebra1 Pre-APandRegularGeometry Pre-APandRegularAlgebra2 Concepts Concepts Concepts NumericReasoning ArithmeticandGeometricSequencesand Series NumericReasoning NumericReasoning Pre-APandRegularPreCalculusConcepts MMAConcepts NumericReasoning NumericReasoning AlgebraicReasoning CompositeFunctions InverseVariation InverseofFunctions Relations/Functions AlgebraicReasoning Trig.Identities AlgebraicReasoning Relations/Functions AttributesofFunctions Relations/Functions GeometricReasoning Conjectures LogicalArguments Proofs UndefinedTerms,Definitions,Postulates, Conjectures,Theorems Trig.Ratios MeasurementReasoning GeometricReasoning GeometricReasoning ConicSections GeometricReasoning MeasurementReasoning MeasurementReasoning Vectors MeasurementReasoning StatisticalReasoning Regression StatisticalReasoning StatisticalReasoning StatisticalReasoning StatisticalReasoning ProbabilisticReasoning ProbabilisticReasoning PermutationsandCombinations ProbabilisticReasoning ProbabilisticReasoning ProbabilisticReasoning PersonalFinancialLiteracy PersonalFinancialLiteracy PersonalFinancialLiteracy PersonalFinancialLiteracy PersonalFinancialLiteracy Insurance ComplexNumbers ImaginaryNumbers AlgebraicReasoning PolynomialFactoring SystemsofInequalities AlgebraicReasoning Relations/Functions Directvariation Relations/Functions IndependentandDependentvariables(as opposedtoquantitiesinsixth) LinearFunctions Non-LinearFunctions GeometricReasoning MeasurementReasoning 2015-2016 EquationWork ProblemSolving Fractions Integers ExpectedfromK-5 AdditionalPrePre-APand 6thEndofYear 7thEndofYear Pre-AP7thEnd 8thEndofYear AP6thEndof RegularAlgebra1 Skills& Skills& ofYearSkills& Skills& YearSkills& EndofYearSkills Procedures Procedures Procedures Procedures Procedures &Procedures Beginningofyearentry: Studentscancount,add &subtractandmultiply ÷wholenumbers w/automaticity Automaticityin simplifyingfractionsand producingequivalent fractions Proceduralfluencyw/ Automaticityw/integer integeroperations operations workingtowards automaticity Proceduralfluencyin Proceduralfluencyin operationsinvolvingall operationsinvolvingall Proceduralfluencyin rationalnumbers rationalnumbers fractionmultiplication workingtowards workingtowards anddivision automaticity(except automaticity(except squareroots) squareroots) Readingcomprehension Readingcomprehension Readingcomprehension Proceduralfluencyw/ integeroperations Solidbaseofrealworld mathknowledgeand references(Howtallisa buildingetc.)for reasonableness Automaticityw/integer Automaticityw/integer operations operations Automaticityin operationsinvolvingall rationalnumbers workingtowards automaticity(including squareroots) Readingcomprehension Automaticityin operationsinvolvingall rationalnumbers workingtowards automaticity(including squareroots) Readingcomprehension Proceduralfluency w/operationsinvolving radicalsworkingtowards automaticity Readingcomprehension Proceduralfluency w/transformationsof linearandquadratic functions AutomaticProblemSolving Multipleproblem Multipleproblem Multipleproblem Multipleproblem Multipleproblem Ability-Startw/whatyou solvingapproaches-no solvingapproaches-no solvingapproaches-no solvingapproaches-no solvingapproaches-no knowandgetasfarasyou relianceonkeywords relianceonkeywords relianceonkeywords relianceonkeywords relianceonkeywords canwithoutprompts Recognize/solvequadratics Proceduralfluencyin Proceduralfluencyin Automaticityinsolving Automaticityinsolving bymorethanonemethod solvinglinearequations solvinglinearequations linearequations linearequations workingtowards automaticity Pre-APand Pre-APand Pre-APand Regular RegularPreRegularAlgebra2 GeometryEnd CalculusEndof EndofYearSkills ofYearSkills& YearSkills& &Procedures Procedures Procedures MMAEndof YearSkills& Procedures CalculusEndof StatisticsEndof YearSkills& YearSkills& Procedures Procedures Proceduralfluency Automaticity w/operationsinvolving w/operationsinvolving complexnumbers radicals workingtowards automaticity Automaticity w/operationsinvolving complexnumbers Readingcomprehension Readingcomprehension Readingcomprehension Readingcomprehension Readingcomprehension Readingcomprehension Automaticityintheuseof functionnotationand transformationsof functions Applicationsof geometricprinciples Automaticityinsolving ofquadratics,systems ofequations Applicationsofalgebraic principles Applicationofalgebraic andgeometric principles
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