Download Beginning Algebra Course Outline

BeginningAlgebra(MW11)
CourseScopeandSequence
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BeginningAlgebra.Abriefdescriptionofcontentisprovidedforeachgradeplacement
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Introduction
IntroductiontoStructuralInput
HowtoInputAnswers
EnteringProducts
1.
Unit1.TheRealNumbers
1.1.
1.2.
1.3.
1.4.
1.5.
1.6.
1.7.
1.8.
1.9.
1.10.
1.11.
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1.14.
1.15.
1.16.
1.17.
1.18.
1.19.
1.20.
OptiontoSkipPretestforUnit1
PretestforUnit1
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IdentifyingPrimeandCompositeIntegers
FactoringIntegers
EnteringFractions
ReducingFractionstoLowestTerms
MultiplyingFractions
DividingFractions
FindingLCDofTwoFractions
FindingLCDofThreeFractions
Adding/SubtractingFractions,SameDenominator
Adding/SubtractingTwoFractions
Adding/SubtractingThreeFractions
Fractions:Questions
Fractions:Quiz
Fractions:Quiz2
EvaluatingExponents
OrderofOperations
OrderofOperations,withGroupingSymbols
1.21.
1.22.
1.23.
1.24.
1.25.
1.26.
1.27.
1.28.
1.29.
1.30.
1.31.
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2 OrderofOperations,withNestedGroupingSymbols
OrderofOperations,IncludingFractionBar
OrderofOperations:Summary
EvaluatingEquations
Inequalities
EvaluatingInequalities
Symbols:Questions
Symbols:Quiz
ExponentsandtheOrderofOperations:Questions
ExponentsandtheOrderofOperations:Quiz
ExponentsandtheOrderofOperations:Quiz2
Evaluation,ExpressionswithOneVariable
Evaluation,ExpressionswithTwoVariables
EnteringExpressions
TranslateEnglishPhraseIntoExpression
EnteringEquations
TranslateEnglishSentenceIntoEquation
DecideWhetherNumberisSolutiontoanEquation
VariablesandEquations:Questions
VariablesandEquations:Quiz
VariablesandEquations:Quiz2
EnteringRootsandSets
IdentifyingIntegers,RationalNumbers,RealNumbers
FindingAdditiveInverses
EvaluatingAbsoluteValueExpressions
EvaluatingInequalitiesInvolvingAbsoluteValue
AddingNumberswiththeSameSign
AddingNumberswithOppositeSigns
SubtractingIntegers
EvaluationInvolvingFractions,Grouping
MultiplyingRealNumbers
EnteringtheNullSetandInfinity
DividingRealNumbers
EvaluatingNumericalExpressions
EvaluatingExpressionsInvolvingVariables
TranslatingintoExpressionthenEvaluating
2.
1.57.
1.58.
1.59.
1.60.
1.61.
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1.76.
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1.78.
1.79.
1.80.
1.81.
1.82.
RealNumbersandtheNumberLine:Questions
RealNumbersandtheNumberLine:Quiz
RealNumbersandtheNumberLine:Quiz2
AdditionofRealNumbers:Questions
AdditionofRealNumbers:Quiz
SubtractionofRealNumbers:Questions
SubtractionofRealNumbers:Quiz
MultiplicationofRealNumbers:Questions
MultiplicationofRealNumbers:Quiz
DivisionofRealNumbers:Questions
DivisionofRealNumbers:Quiz
IdentifyingCommutative,AssociativeProperties
DistributiveProperty
DistributinganInitialNegativeSign
PropertiesofAdditionandMultiplication:Questions
PropertiesofAdditionandMultiplication:Quiz
PropertiesofAdditionandMultiplication:Quiz2
IdentifyingCoefficients
IdentifyingLikeTerms
AddingLikeTerms
EnteringExponentsandTerms
SimplifyingExpressionsInvolvingParentheses
SimplifyingExpressions:Questions
SimplifyingExpressions:Quiz
SimplifyingExpressions:Quiz2
Unit1Review
Unit1Exam
2.1.
2.2.
2.3.
2.4.
2.5.
2.6.
2.7.
2.8.
OptiontoSkipPretestforUnit2
PretestforUnit2
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AdditionPropertyofEquality
AdditionPropertyofEquality:Questions
AdditionPropertyofEquality:Quiz
MultiplicationProperty,IntegerCoefficient
MultiplicationProperty,Implied-1Coefficient
Unit2.LinearEquationsandInequalitiesinOneVariable
3 2.9.
2.10.
2.11.
2.12.
2.13.
2.14.
2.15.
2.16.
2.17.
2.18.
2.19.
2.20.
2.21.
2.22.
2.23.
2.24.
2.25.
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2.27.
2.28.
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2.31.
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2.41.
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2.44.
4 MultiplicationProperty,FractionalCoefficientNumerator1
MultiplicationProperty,FractionalCoefficient
SolvingEquations,NoFractionsorGrouping
SolvingEquationswithGroupingSymbols
SolvingEquationswithFractions
SolvingEquationswithDecimals
SolvingEquations,CombinedPractice
SolvingEquationswithoutUniqueSolutions
MultiplicationPropertyofEquality:Questions
MultiplicationPropertyofEquality:Quiz
MultiplicationPropertyofEquality:Quiz2
SolvingLinearEquations:Questions
SolvingLinearEquations:Quiz
SolvingLinearEquations:Quiz2
FindUnknownNumber
ConsecutiveIntegerExercises
Formulas
SolvingFormulaforaSpecifiedVariable
RatiosandProportions
MixtureExercises
InterestExercises
Distance-Rate-TimeExercises
Applications:Questions
Applications:Quiz
Formulas:Questions
Formulas:Quiz
RatiosandProportions:Questions
RatiosandProportions:Quiz
Applications:Questions
Applications:Quiz
EnteringInequalities
LinearInequalities,MultiplicationProperty
LinearInequalities,AdditionandMultiplication
PropertiesCompoundInequalitieswiththeAndConnective
LinearInequalities:Questions
LinearInequalities:Quiz
2.45.
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2.57.
3.
LinearInequalities:Quiz2
EnteringAnswersUsingSemicolons
AbsoluteValueEquations
AbsoluteValueEquations,LinearFunction
AbsoluteValueInequalities,LessThan
AbsoluteValue,Inequalities,LessThanorEqualTo
AbsoluteValueInequalities,LinearFunction
AbsoluteValueInequalities,GreaterThan
AbsoluteValueInequalities,GreaterThanorEqualTo
AbsoluteValueInequalities,LinearFunction
AbsoluteValueInequalities,CombinedPractice
Unit2Review
Unit2Exam
Unit3.LinearEquationsandInequalitiesinTwoVariables
3.1.
3.2.
3.3.
3.4.
3.5.
3.6.
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3.19.
3.20.
5 OptiontoSkipPretestforUnit3
PretestforUnit3
OptiontoSkipUnit3
EnteringOrderedPairs
LinearEquationsinTwoVariables:CheckingSolutions
LinearEquations,FindOtherCoordinate
LinearEquationsinTwoVariables:Questions
LinearEquationsinTwoVariables:Quiz
Findingx-intercepts
Findingy-intercepts
GraphingLinearEquationsinTwoVariables:Questions
GraphingLinearEquationsinTwoVariables:Quiz
EquationsofHorizontalLines
EquationsofVerticalLines
FindSlopeofLineThroughTwoPoints
IdentifySlopeofHorizontalandVerticalLines
GivenSlope-InterceptForm,IdentifytheSlope
GivenSlope-InterceptForm,Identifythey-intercept
EnteringFractionalCoefficients
GivenSlopeandy-intercept,WriteEquation
GivenPointandSlope,WriteEquation
4.
3.21.
3.22.
3.23.
3.24.
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3.38.
3.39.
3.40.
3.41.
ConvertingfromPoint-SlopetoSlope-InterceptForm
GivenTwoPoints,WriteEquationofLineThroughThem
ConvertEquationintoStandardForm
FindEquationforLineinStandardForm
IdentifySlopeofParallelorPerpendicularLine
FindEquationforParallelLine
FindEquationforPerpendicularLine
TheSlopeofaLine:Questions
TheSlopeofaLine:Quiz
EquationsofaLine:Quiz
EquationsofaLine:Quiz2
GraphingLinearInequalitiesinTwoVariables:Questions
GraphingLinearInequalitiesinTwoVariables:Quiz
IdentifyingFunctionsGivenasSetsofOrderedPairs
IdentifyingFunctionsGivenasAlgebraicEquations
EvaluatingFunctions
Functions:Questions
Functions:Quiz
Functions:Quiz2
Unit3Review
Unit3Exam
4.1.
4.2.
4.3.
4.4.
4.5.
4.6.
4.7.
4.8.
4.9.
4.10.
4.11.
4.12.
4.13.
OptiontoSkipPretestforUnit4
PretestforUnit4
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DecideWhetherOrderedPairisSolutionto2x2
SystemSolvingSystemsbyGraphing:Quiz
SolvingSystemsbyGraphing:Quiz2
SolvingSystemsbySubstitution
Substitution,withNeitherSolvedforaVariableInitially
SolvingSystemsbySubstitution:Quiz
SolvingSystemsbySubstitution:Quiz2
SolvingSystemsbyAddition
AdditionMethod,MustMultiplyOneEquationFirst
AdditionMethod,BothEquationsMustbeMultiplied
Unit4.SystemsofLinearEquationsandInequalities
6 4.14.
4.15.
4.16.
4.17.
4.18.
4.19.
4.20.
4.21.
4.22.
AdditionMethod,InvolvingFractions
InconsistentSystemsandDependentSystems
SolvingSystems,CombinedPractice
SolvingSystemsbyAddition:Quiz
SolvingSystemsbyAddition:Quiz2
WordProblemsInvolving2x2Systems:Quiz
SystemsofLinearInequalities:Quiz
Unit4Review
Unit4Exam
5.
Unit5.PolynomialsandExponents
5.1.
5.2.
5.3.
5.4.
5.5.
5.6.
5.7.
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5.18.
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5.20.
5.21.
5.22.
5.23.
5.24.
5.25.
5.26.
5.27.
7 OptiontoSkipPretestforUnit5
PretestforUnit5
OptiontoSkipUnit5
TermsandCoefficients
DegreeofaTerm,ofaPolynomial
AddingLikeTerms
AddingLikeTerms,PolynomialswithSeveralVariables
EvaluatingPolynomials
AddingPolynomials
SubtractingPolynomials
Polynomials:Questions
Polynomials:Quiz
Polynomials:Quiz2
Exponents:Terminology
ProductRulewithTwoExpressions
ProductRulewithThreeExpressions
ProductRule,TwoExpressionswithCoefficients
ProductRule,ThreeExpressionswithCoefficients
PowerRule,PowerofaPower
PowerRule,ProducttoaPower
PowerRule,QuotienttoaPower
Exponents:Questions
Exponents:Quiz
Exponents:Quiz2
MultiplicationofMonomials
MonomialTimesaBinomial
MonomialTimesaTrinomial
5.28.
5.29.
5.30.
5.31.
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5.65.
5.66.
8 ProductsofBinomialswithLeadingCoefficient1
ProductsofBinomials
MonomialTimestheProductofTwoBinomials
BinomialTimesaTrinomial
MultiplicationofPolynomials:Questions
MultiplicationofPolynomials:Quiz
MultiplicationofPolynomials:Quiz2
SquareofaBinomial,TermsAdded
SquareofaBinomial,TermsSubtracted
SumofTwoTermsTimesTheirDifference
SpecialProducts:Questions
SpecialProducts:Quiz
SpecialProducts:Quiz2
ZeroasanExponent
NegativeExponentsAppliedtoIntegers
NegativeExponentsAppliedtoFractions
QuotientRule
CombinedPracticeUsingExponentRules
QuotientRule:Questions
QuotientRule:Quiz
QuotientRule:Quiz2
DividingaMonomialbyaMonomial
DividingaPolynomialbyaMonomial
DivisionbyaMonomial:Questions
DivisionbyaMonomial:Quiz
EnteringAnswersforPolynomialLongDivision
DividingaQuadraticbyaBinomial,Coefficient1
DividingaPolynomialbyaBinomial,Coefficient1
DividingaPolynomialbyaBinomial
DividingaPolynomialbyaQuadratic
LongDivisionofPolynomials:Questions
LongDivisionofPolynomials:Quiz
LongDivisionofPolynomials:Quiz2
ConvertingLargeIntegertoScientificNotation
ConvertingSmallNumbertoScientificNotation
ConvertingfromScientificNotation,PositiveExponent
ConvertingfromScientificNotation,NegativeExponent
MultiplicationwithScientificNotation
DivisionwithScientificNotation
5.67.
5.68.
5.69.
5.70.
5.71.
5.72.
6.
ExponentialGrowth
ExponentialDecay
ScientificNotation:Questions
ScientificNotation:Quiz
Unit5Review
Unit5Exam
Unit6.FactoringPolynomials
6.1.
6.2.
6.3.
6.4.
6.5.
6.6.
6.7.
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9 OptiontoSkipPretestforUnit6
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FindingtheGCFofPolynomials
FactoringtheGCFofTermsfromaPolynomial
EnteringFactoredPolynomials
FactoringbyGrouping
Factoring:Questions
Factoring:Quiz
Factoring:Quiz2
FactoringTrinomials,AllCoefficientsPositive
FactoringTrinomials,MiddleTerm-,ConstantTerm+
FactoringTrinomials,MiddleTerm+,ConstantTerm-
FactoringTrinomials,MiddleTerm-,ConstantTerm-
FactoringTrinomials,LeadingCoefficient1
FactoringTrinomials:Questions
FactoringTrinomials:Quiz
FactoringTrinomials:Quiz2
FactoringTrinomials,Non-UnitLeadingCoefficient
FactoringwithCommonFactorsAmongTerms
FactoringTrinomials,CombinedPractice
FactoringTrinomials,Part2:Questions
FactoringTrinomials,Part2:Quiz
FactoringTrinomials,Part2:Quiz2
DifferenceofTwoSquares,LeadingCoefficient1
DifferenceofTwoSquares
PerfectSquareTrinomials,LeadingCoefficient
PerfectSquareTrinomials
DifferenceofTwoCubes,LeadingCoefficient1
DifferenceofTwoCubes
SumofTwoCubes,LeadingCoefficient1
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6.50.
7.
SumofTwoCubes
SpecialFactorizations,CombinedPractice
SpecialFactorizations:Questions
SpecialFactorizations:Quiz
Zero-FactorProperty
SolvingQuadraticEquationsbyFactoring
SolvingHarderQuadraticEquationsbyFactoring
SolvingQuadraticEquations:Questions
SolvingQuadraticEquations:Quiz
SolvingQuadraticEquations:Quiz2
AreaExercises
ThePythagoreanTheorem
ApplicationsofQuadraticEquations:Questions
ApplicationsofQuadraticEquations:Quiz
QuadraticInequalities:Questions
QuadraticInequalities:Quiz
QuadraticInequalities:Quiz2
Unit6Review
Unit6Exam
Unit7.RadicalExpressionsandEquations
7.1.
7.2.
7.3.
7.4.
7.5.
7.6.
7.7.
7.8.
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10 OptiontoSkipPretestforUnit7
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OptiontoSkipUnit7
FindingPointsatwhichRationalFunctionsareUndefined
EvaluatingRationalExpressions
ReducingRationalExpressionstoLowestTerms,Monomials
EnteringRationalExpressions
ReducingRationalExpressionstoLowestTerms
ReducingtoLowestTerms,OppositeLinearFactors
RationalExpressions:Questions
RationalExpressions:Quiz
RationalExpressions:Quiz2
MultiplyingRationalExpressions,Monomials
MultiplyingRationalExpressions,LinearPolynomials
MultiplyingRationalExpressions
DividingRationalExpressions,LinearPolynomials
DividingRationalExpressions
MultiplyingandDividingRationalExpressions:Questions
8.
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7.20.
7.21.
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7.39.
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7.41.
7.42.
7.43.
7.44.
7.45.
7.46.
7.47.
7.48.
7.49.
MultiplyingandDividingRationalExpressions:Quiz
FindingLCD,LinearDenominators
FindingLCD,QuadraticDenominators
WritingRationalExpressionwithGivenDenominator
FindingLCDs:Questions
FindingLCDs:Quiz
FindingLCDs:Quiz2
AddingRationalExpressionswithSameDenominators
AddingRationalExpressions
SubtractingRationalExpressions
AddingandSubtracting,OppositeLinearFactors
AddingandSubtractingRationalExpressions,Combined
AddingandSubtractingRationalExpressions:Questions
AddingandSubtractingRationalExpressions:Quiz
AddingandSubtractingRationalExpressions:Quiz2
ComplexFractions:SimplifybyCombining
ComplexFractions:SimplifybyClearingDenominators
ComplexFractions:Questions
ComplexFractions:Quiz
ComplexFractions:Quiz2
SolvingRationalEquationsbyCross-Multiplying
SolvingRationalEquations
RationalEquations:Questions
RationalEquations:Quiz
RationalEquations:Quiz2
WordProblemsInvolvingRationalEquations
CombinedWorkExercises
ApplicationsofRationalEquations:Questions
ApplicationsofRationalEquations:Quiz
Unit7Review
Unit7Exam
8.1.
8.2.
8.3.
8.4.
8.5.
8.6.
OptiontoSkipPretestforUnit8
PretestforUnit8
OptiontoSkipUnit8
EvaluatingSquareRoots
EvaluatingRootsofHigherIndex
Radicals:Quiz
Unit8.RadicalExpressionsandEquations
11 8.7.
8.8.
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8.10.
8.11.
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8.35.
8.36.
Radicals:Quiz2
ReducingSquareRoots
ReducingRadicalsofHigherIndex
MultiplyingRadicals
MultiplyingandDividingRadicals:Quiz
AddingandSubtractingRadicals
ProductsofBinomialsInvolvingRadicals
AddingandSubtractingRadicals:Quiz
AddingandSubtractingRadicals:Quiz2
RationalizingtheDenominatorwithSquareRoots
RationalizingtheDenominatorwithCubeRoots
UsingConjugates
RationalizingtheDenominator:Quiz
RationalizingtheDenominator:Quiz2
SimplifyingRadicalExpressions:Quiz
SimplifyingRadicalExpressions:Quiz2
RadicalEquations
RadicalEquations,IsolateRadicalFirst
RadicalEquations:TheDistanceFormula
RadicalEquations:Quiz
RadicalEquations:Quiz2
EvaluatingFractionalExponentswithNumerator1
EvaluatingFractionalExponents
EnteringFractionalExponents
ApplyingExponentRuleswithFractionalExponents
SimplifyingRadicalsUsingFractionalExponents
FractionalExponents:Quiz
FractionalExponents:Quiz2
Unit8Review
Unit8Exam
9. Unit9.QuadraticEquations
9.1.
OptiontoSkipPretestforUnit9
9.2.
PretestforUnit9
9.3.
OptiontoSkipUnit9
9.4.
UsingtheSquareRootProperty
9.5.
SquareRootPropertywithBinomial,LeadingCoefficient1
9.6.
SquareRootPropertywithBinomial
9.7.
UsingtheSquareRootProperty:Quiz
12 9.8.
9.9.
9.10.
9.11.
9.12.
9.13.
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9.16.
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9.19.
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9.21.
9.22.
10.
13 CompletingtheSquare,LeadingCoefficient1
CompletingtheSquare,InvolvingFractions
CompletingtheSquare
CompletingtheSquare:Quiz
CompletingtheSquare:Quiz2
TheQuadraticFormula
TheQuadraticFormula,SimplifyFirst
TheQuadraticFormula:Quiz
TheQuadraticFormula:Quiz2
TheDiscriminant
ComplexNumbers:Quiz
ComplexNumbers:Quiz2
GraphingQuadraticEquations:Quiz
Unit9Review
Unit9Exam
FinalExam