The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

(Marvins-Underground-K-12) #1

  • 1.20: DividingIntegers

  • 1.21: FindingAbsoluteValuesofExpressions

  • 1.22: FindingSquareRootsofSquareNumbers

  • SECTION 2: RATIONAL NUMBERS

    • andRationalNumbers

    • 2.2: SimplifyingFractions

    • 2.3: RewritingMixedNumbersasImproperFractions.......

    • 2.4: ComparingRationalNumbers........................

    • 2.5: ExpressingRationalNumbersasDecimals

      • Numbers.......................................... 2.6: Expressing Terminating Decimals as Fractions or Mixed

      • Numbers.......................................... 2.7: Expressing Repeating Decimals as Fractions or Mixed



    • 2.8: AddingRationalNumbers

    • 2.9: SubtractingRationalNumbers

    • 2.10: MultiplyingandDividingRationalNumbers

    • 2.11: ExpressingLargeNumbersinScientificNotation

    • 2.12: EvaluatingRationalExpressions......................

    • 2.13: WritingRatiosCorrectly

    • 2.14: WritingandSolvingProportions

    • 2.15: ExpressingFractionsasPercents

    • 2.16: ExpressingPercentsasFractions

    • 2.17: SolvingPercentProblems

    • 2.18: FindingthePercentofIncreaseorDecrease

      • UsingtheMultiplicationPropertyofOne............... 2.19: Converting from One Unit of Measurement to Another





  • SECTION 3: EQUATIONS AND INEQUALITIES

    • 3.1: WritingEquations

    • 3.2: SolvingEquationsbyAddingorSubtracting

    • 3.3: SolvingEquationsbyMultiplyingorDividing............

    • 3.4: Solving Two-Step Equations with the Variable on One Side

    • 3.5: SolvingEquationsUsingtheDistributiveProperty.......

    • 3.6: SolvingEquationswithVariablesonBothSides.........

      • IdentitiesandEquationsThatHaveNoSolution......... 3.7: Solving Equations with Variables on Both Sides, Including



    • 4.13: WritingaLinearEquation,GivenTwoPoints............

    • 4.14: FindingtheEquationoftheLineofBestFit

    • 4.15: UsingtheMidpointFormula..........................

      • TwoPoints

      • Intersect 4.17: Graphing Systems of Linear Equations When Lines

      • AreParallel,orCoincide 4.18: Graphing Systems of Linear Equations if Lines Intersect,





  • SECTION 5: MONOMIALS AND POLYNOMIALS

    • 5.1: ApplyingMonomialVocabularyAccurately

    • 5.2: IdentifyingSimilarTerms............................

    • 5.3: AddingPolynomials.................................

    • 5.4: SubtractingPolynomials

    • 5.5: MultiplyingMonomials

    • 5.6: UsingPowersofMonomials

    • 5.7: MultiplyingaPolynomialbyaMonomial

    • 5.8: MultiplyingTwoBinomials...........................

    • 5.9: MultiplyingTwoPolynomials.........................

    • 5.10: DividingMonomials.................................

    • 5.11: DividingPolynomials................................

      • Monomials 5.12: Finding the Greatest Common Factor of Two or More

      • MonomialFactor 5.13: Factoring Polynomials by Finding the Greatest



    • 5.14: FactoringtheDifferenceofSquares...................

    • 5.15: FactoringTrinomialsiftheLastTermIsPositive........

    • 5.16: FactoringTrinomialsiftheLastTermIsNegative.......

    • 5.17: FactoringbyGrouping...............................

      • IntegerGreaterThan1 5.18: Factoring Trinomials if the Leading Coefficient Is an



    • 5.19: FactoringtheSumsandDifferencesofCubes

    • 5.20: SolvingQuadraticEquationsbyFactoring

    • 5.21: Solving Quadratic Equations by Finding Square Roots

      • Formula 5.22: Solving Quadratic Equations Using the Quadratic



    • 5.23: UsingtheDiscriminant..............................



  • SECTION 6: RATIONAL EXPRESSIONS

    • 6.1: UsingZeroandNegativeNumbersasExponents

    • 6.2: Using the Properties of Exponents That Apply to Division

      • MultiplicationandDivision........................... 6.3: Using the Properties of Exponents That Apply to



    • 6.4: IdentifyingRestrictionsontheVariable................

    • 6.5: SimplifyingAlgebraicFractions

      • Denominators 6.6: Adding and Subtracting Algebraic Fractions with Like



    • 6.7: FindingtheLeastCommonMultipleofPolynomials.....

    • 6.8: WritingEquivalentAlgebraicFractions................

      • Denominators 6.9: Adding and Subtracting Algebraic Fractions with Unlike



    • 6.10: MultiplyingandDividingAlgebraicFractions

    • 6.11: SolvingProportions

    • 6.12: SolvingEquationsThatHaveFractionalCoefficients

    • 6.13: SolvingFractionalEquations.........................



  • SECTION 7: IRRATIONAL AND COMPLEX NUMBERS

    • 7.1: SimplifyingRadicals................................

    • 7.2: MultiplyingRadicals

    • 7.3: RationalizingtheDenominator.......................

    • 7.4: DividingRadicals...................................

    • 7.5: AddingandSubtractingRadicals

    • 7.6: MultiplyingTwoBinomialsContainingRadicals

    • 7.7: UsingConjugatestoSimplifyRadicalExpressions

    • 7.8: SimplifyingSquareRootsofNegativeNumbers

    • 7.9: MultiplyingImaginaryNumbers......................

    • 7.10: SimplifyingComplexNumbers.......................



  • SECTION 8: FUNCTIONS

    • 8.1: DeterminingifaRelationIsaFunction................

    • 8.2: FindingtheDomainofaFunction.....................

    • 8.3: FindingtheRangeofaFunction......................

    • 8.4: UsingtheVerticalLineTest

    • 8.5: DescribingReflectionsoftheGraphofaFunction.......

    • 8.6: Describing Vertical Shifts of the Graph of a Function

      • ofaFunction....................................... 8.7: Describing Horizontal and Vertical Shifts of the Graph



    • 8.8: DescribingDilationsoftheGraphofaFunction

    • 8.9: FindingtheCompositeofTwoFunctions...............

    • 8.10: FindingtheInverseofaFunction

    • 8.11: EvaluatingtheGreatestIntegerFunction

    • 8.12: IdentifyingDirectandIndirectVariation................

    • 8.13: DescribingtheGraphoftheQuadraticFunction.........

    • 8.14: UsingRationalNumbersasExponents

    • 8.15: UsingIrrationalNumbersasExponents

    • 8.16: SolvingExponentialEquations........................

    • 8.17: UsingtheCompoundInterestFormula

    • 8.18: SolvingRadicalEquations

      • Equations 8.19: Writing Logarithmic Equations as Exponential



    • 8.20: SolvingLogarithmicEquations

    • 8.21: UsingthePropertiesofLogarithms



  • Common Core State Standards for Mathematics

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