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Alignment of California Mathematics Content StandardsALGEBRA

WithDestination Math

Pomona Benchmarks

Ca. State Algebra Standard

Mastering Skills & Concepts: Course III

Mastering Skills & Concepts: Course IV

Mastering Skills & Concepts: Course V

Mastering Algebra I: Course 1


1.0 Students identify and usethe arithmetic properties ofsubsets of integers andrational, irrational, and realnumbers, including closureproperties for the four basicarithmetic operations whereapplicable.

Module: Operationswith NumbersUnit: Addition andSubtraction of WholeNumbersSession 1: WholeNumber SumsSession 2: DifferencesBetween LargeNumbersModule: Operationswith NumbersUnit: The IntegersSession 1: IntegerSumsSession 2: DifferencesBetween IntegersModule: Operationswith NumbersUnit: Multiplication andDivision of WholeNumbersSession 1: Two-digitMultipliersSession 2: Introductionto Long DivisionSession 3: Two-digitDivisors

Module: Integers &Order of OperationsUnit: Adding andSubtracting SignedNumbersSession 1: Exploring theNumber Line andAbsolute ValueSession 2: Adding withAbsolute ValueSession 3: Subtractingwith Absolute Value

Module: Integers &Order of OperationsUnit: Multiplying andDividing SignedNumbersSession 1: FindingProducts of SignedNumbersSession 2:Representing theMultiplication of SignedNumbersSession 3: FindingQuotients UsingReciprocals

Module: Integers &Order of OperationsUnit: Order ofOperationsSession 1: SimplifyingExpressionsSession 2: Introducingthe Distributive

Module: Essentials ofAlgebraUnit: Evaluating anAlgebraic ExpressionSession 2: CombiningLike TermsSession 3: EvaluatingExpressions UsingSubstitutionModule: Radicals andExponentsUnit: Introduction toRadicals andPythagorean TheoremSession 3: DefiningIrrational Numbers90

Module: TheLanguage of AlgebraUnit: Variables,Expressions, andEquationsSession 2: ApplyingProperties of RealNumbers

Module: The RealNumber SystemUnit: Rational andIrrational NumbersSession 1: Defining theReal NumbersSession 2: Working withRadicals

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PropertySession 3: UsingGrouping Symbols

SAM08101 (B1)Use properties of numbers to demonstrate whether assertions are true or false.(1.1)

1.1 Students use properties ofnumbers to demonstratewhether assertions are true orfalse.

Module: Operationswith NumbersUnit: Addition andSubtraction of WholeNumbersSession 1: WholeNumber SumsSession 2: DifferencesBetween LargeNumbersModule: Operationswith NumbersUnit: The IntegersSession 1: IntegerSumsSession 2: DifferencesBetween IntegersModule: Operationswith NumbersUnit: Multiplication andDivision of WholeNumbersSession 1: Two-digitMultipliersSession 2: Introductionto Long DivisionSession 3: Two-digitDivisors

Order of OperationsUnit: Adding andSubtracting SignedNumbersSession 1: Exploring theNumber Line andAbsolute ValueSession 2: Adding withAbsolute ValueSession 3: Subtractingwith Absolute ValueModule: Integers &Order of OperationsUnit: Multiplying andDividing SignedNumbersSession 1: FindingProducts of SignedNumbersSession 2:Representing theMultiplication of SignedNumbersSession 3: FindingQuotients UsingReciprocalsModule: Integers &Order of OperationsUnit: Order ofOperationsSession 1: SimplifyingExpressionsSession 2: Introducingthe Distributive

Module: TheLanguage of AlgebraUnit: Variables,Expressions, andEquationsSession 2: ApplyingProperties of RealNumbers


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PropertySession 3: UsingGrouping Symbols

SAM08102a (B1)Understand and use such operations as taking the opposite and finding the reciprocal of a number. (2.0a)

SAM08102b (B3)Understand and use such operations as taking a root of a number. (2.0b)

SAM08102c (B3)Understand and use such operations as the rules of exponents (2.0c)

SAM08102d (B4)Understand and use such operations as raising a number to a fractional power. (2.0d)

2.0 Students understand anduse such operations as takingthe opposite, finding thereciprocal, taking a root, andraising to a fractional power.They understand and use therules of exponents.

Module: FractionsUnit: Multiplication andDivisionSession 2: Quotientsand Remainders

Module: FractionsUnit: Dividing FractionsSession 1: EstimatingQuotients of FractionsSession 2: UsingMultiplicative InversesSession 3: Solving Missing Value Problems when Dividing Fractions

Module: Integers &Order of OperationsUnit: Adding andSubtracting SignedNumbersSession 3: Subtractingwith Absolute Value

Module: Integers &Order of OperationsUnit: Multiplying andDividing SignedNumbersSession 2: Representing the Multiplication of Signed NumbersSession 3: FindingQuotients UsingReciprocals(no fractional powers)

Module: Integers and Order of Operations

Module: Essentials ofAlgebraUnit: Simple EquationsSession 3: SolvingSimple EquationsModule: Radicals andExponentsUnit: Introduction toRadicals andPythagorean TheoremSession 1: Exploring thePythagorean TheoremSession 2: InvestigatingSquares and SquareRoots(no fractional powers)

Module: The Language of Algebra Unit: Variables, Expressions, and Equations Session 1: Translating Words into ExpressionsSession 3: Evaluating and Simplifying Expressions

Module: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 1: ApplyingInverse Operations

Module: The RealNumber SystemUnit: Rational andIrrational NumbersSession 1: Defining theReal NumbersSession 2: Working withRadicalsSession 3: The SquareRoot FunctionModule: Powers andPolynomialsUnit: PolynomialArithmeticSession 1: Working withPowers(no fractional powers)

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Unit: Order of Operations Session: Simplifying Expressions

SAM08103 (B1)Solve equations and inequalities involving absolute values.(3.0)

3.0 Students solve equationsand inequalities involvingabsolute values.

Module: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 3: SolvingAbsolute ValueEquationsModule: LinearInequalitiesUnit: Inequalities in OneVariableSession 3: SolvingAbsolute ValueInequalities

SAM08104 (B1)Simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12 (4.0)

4.0 Students simplifyexpressions before solvinglinear equations andinequalities in one variable,such as3(2x - 5) 4(x - 2) 12

Module: Essentials ofAlgebra:Unit: Evaluating anAlgebraic ExpressionSession 2: CombiningLike TermsModule: Essentials ofAlgebraUnit: Simple EquationsSession 2: Simplifying

Module: TheLanguage of AlgebraUnit: Variables,Expressions, andEquationsSession 2: ApplyingProperties of RealNumbersSession 3: Evaluatingand SimplifyingExpressionsModule: TheLanguage of Algebra

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Algebraic ExpressionsSession 3: SolvingSimple Equations

Unit: Linear Equationsin One VariableSession 1: ApplyingInverse OperationsSession 2:Transforming EquationsUsing MultipleOperations

SAM08105a (B1)Solve multistep problems, including word problems, involving linear equations in one variable and provide justification for each step. (5.0a)

SAM08105b (B1)Solve multistep problems, including word problems, involving linear inequalities in one variable and provide justification for each step. (5.0b)

5.0 Students solve multi-stepproblems, including wordproblems, involving linearequations and linearinequalities in one variable andprovide justification for eachstep. Students solve multi-stepproblems, including wordproblems, involving linearequations and linearinequalities in one variable andprovide justification for eachstep.

Module: Essentials ofAlgebraUnit: Simple EquationsSession 3: SolvingSimple EquationsModule: Essentials ofAlgebraUnit: Variables on BothSides of the EquationSession 2: SimplifyingBoth Sides of anEquation

Module: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 1: ApplyingInverse OperationsSession 2:Transforming EquationsUsing MultipleOperationsModule: LinearInequalitiesUnit: Inequalities in OneVariableSession 1: ApplyingInverse OperationsSession 2: GraphingSolutions on a NumberLine

SAM08106a (B2)Graph a linear equation and compute the x and y

6.0 Students graph a linearequation and compute the xand

Module: LinearFunctions &EquationsUnit: The

Module: LinearInequalitiesUnit: Inequalities in Two

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intercepts (e.g. 2x + 6y = 4) (6.0a

SAM08106b (B2)Sketch the region defined by linear inequality (e.g. sketch the region defined by 2x + 6y <4). (6.0b)

y-intercepts (e.g., graph2x 6y 4 ). They arealso able to sketch the regiondefined by linear inequality(e.g., they sketch the regiondefined by 2x 6y 4 ). Students graph a linearequation and compute the xandy-intercepts (e.g., graph2x 6y 4 ). They arealso able to sketch the regiondefined by linear inequality(e.g., they sketch the regiondefined by 2x 6y 4 ).

RectangularCoordinate PlaneSession 2: DefiningSlopeSession 3: Finding xandy-InterceptsModule: LinearFunctions &EquationsUnit: Introduction toFunctionsSession 1: Exploring theSlope-InterceptEquation of a LineSession 2: Exploring thePoint-Slope Equation ofa LineSession 3: Relationsand Functions

VariablesSession 1: GraphingSolutions on aRectangular CoordinatePlaneSession 2: Solvingsystems by Graphing

SAM08107a (B2)Verify that a point lies on a line, given an equation of the line. (7.0a)

SAM08107bDerive linear equations by using the point-slope

7.0 Students verify that a pointlies on a line, given anequation of the line. Studentsare able to derive linearequations by using the pointslopeformula.

Module: LinearFunctions &EquationsUnit: Introduction toFunctionsSession 1: Exploring theSlope-InterceptEquation of a LineSession 2: Exploring the

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formula. (7.0b) Point-Slope Equation ofa LineSession 3: Relationsand Functions

SAM08108 (B2)Understand the concepts of parallel and perpendicular lines and how those slopes are related; find the equation of a line perpendicular to a given line that passes through a given point. (8.0)

8.0 Students understand theconcepts of parallel lines andperpendicular lines and howthose slopes are related.Students are able to find theequation of a lineperpendicular to a given linethat passes through a givenpoint.

Module: Systems ofLinear EquationsUnit: Graphic Solutionsof Linear SystemsSession 2: GraphingParallel & PerpendicularLines

SAM08109 (B2)Solve a system of two linear equations in two variables algebraically and interpret the answer graphically; solve a system of two linear inequalities in two variables and sketch the solutions sets. (9.0)

9.0 Students solve a system oftwo linear equations in twovariables.

Module: Systems ofLinear EquationsUnit: Graphic Solutionsof Linear SystemsSession 1: Finding thePoint of IntersectionModule: Systems ofLinear EquationsUnit: AlgebraicSolutions of LinearSystemsSession 1: UsingSubstitution to Eliminatea VariableSession 2: Using

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Addition or Subtractionto Eliminate a VariableModule: LinearInequalitiesUnit: Inequalities in TwoVariablesSession 1: GraphingSolutions on aRectangular CoordinatePlaneSession 2: SolvingSystems by Graphing

SAM08110 (B3)Add, subtract, multiply, and divide monomials and polynomials; solve multistep problems, including word problems, by using these techniques. (10.0)

10.0 Students add, subtract,multiply, and divide monomialsand polynomials. Studentssolve multi-step problems,including word problems, byusing these techniques. Students add, subtract,multiply, and divide monomialsand polynomials. Studentssolve multi-step problems,including word problems, byusing these techniques.

(Monomial work isminimal.)

Module: Powers andPolynomialsUnit: PolynomialArithmeticSession 1: Working withPowersSession 2: Adding andSubtracting PolynomialExpressionsSession 3: MultiplyingPolynomials

Module: Powers & Polynomials Unit: Factoring Polynomials Session: Finding Common Factors

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Module: AlgebraicExpressions &FunctionsUnit: RationalExpressions, Equations,and FunctionsSession 1: RationalOperations

SAM08111 (B3)Apply basic factoring techniques to second and simple third degree polynomials; e.g. find a common factor for all terms in a polynomial, recognize the difference of two squares, and recognize perfect squares of binomials. (11.0)

11.0 Students apply basicfactoring techniques to secondandsimple third-degreepolynomials. Thesetechniques include finding acommon factor for all terms ina polynomial, recognizing thedifference of two squares, andrecognizing perfect squares ofbinomials.

Module: Powers andPolynomialsUnit: FactoringPolynomialsSession 1: FindingCommon FactorsSession 2: FactoringQuadratic TrinomialsSession 3: SpecialCases

SAM08112 (B3)Simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms. (12.0)

12.0 Students simplifyfractions with polynomials inthe numerator anddenominator by factoring bothand reducing them to thelowest terms.

Module: AlgebraicExpressions &FunctionsUnit: RationalExpressions, Equations,and FunctionsSession 1: RationalOperations

SAM08113 (B4)Add, subtract,

13.0 Students add, subtract,

Module: AlgebraicExpressions &

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multiply and divide rational expressions functions; solve both computationally and conceptually challenging problems by using these techniques. (13.0)

multiply, and divide rationalexpressions and functions.Students solve bothcomputationally andconceptually challengingproblems by using thesetechniques.

FunctionsUnit: RationalExpressions, Equations,and FunctionsSession 1: RationalOperationsSession 2: RationalFunctionsSession 3: RationalEquations

SAM08114 (B3)Solve a quadratic equation by factoring or completing the square. (14.0)

14.0 Students solve aquadratic equation by factoringor completing the square.

Module: QuadraticFunctions &EquationsUnit: Solving QuadraticEquations UsingAlgebraSession 1: Factoringand the Zero ProductTheoremSession 2: The SquareRoot Method andCompleting the Square

Module: Quadratic Functions & Equations Unit: Solving Quadratic Equations Using Algebra Session: The Quadratic Formula

SAM08115a (B2)Apply algebraic techniques to solve

15.0 Students apply algebraictechniques to solve rate

Module: AlgebraicExpressions &Functions

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rate problems (15.0a)

SAM08115b (B1)Apply algebraic techniques to solve work problems. (15.0b)

SAM08115c (B2)Apply algebraic techniques to solve percent mixture problems. (15.0c)

problems, work problems, andpercent mixture problems.

Unit: RationalExpressions, Equations,and FunctionsSession 3: RationalEquations(no percent mixture

SAM08116 (B2)Understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions. (16.0)

16.0 Students understand theconcepts of a relation and afunction, determine whether agiven relation defines afunction, and give pertinentinformation about givenrelations and functions.

Module: LinearFunctions &EquationsUnit: Introduction toFunctionsSession 3: Relationsand Functions

SAM08117 (B2)Determine the domain of independent variables and the range of dependent variables defined by a graph, a set of

17.0 Students determine thedomain of independentvariables and the range ofdependent variables defined bya graph, a set of ordered

Module: LinearFunctions &EquationsUnit: The RectangularCoordinate PlaneSession 1: GraphingOrdered Pairs

Module: The RealNumber SystemUnit: Rational andIrrational NumbersSession 3: The SquareRoot FunctionModule: Quadratic

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ordered pairs, or a symbolic expression. (17.0)

pairs,or a symbolic expression. Students determine thedomain of independentvariables and the range ofdependent variables defined bya graph, a set of ordered pairs,or a symbolic expression.

Module: LinearFunctions &EquationsUnit: Introduction toFunctionsSession 3: Relationsand FunctionsModule: Systems ofLinear FunctionsUnit: Graphic Solutionsof Linear SystemsSession 1: Finding thePoint of Intersection

Functions &EquationsUnit: GraphingQuadratic Functionsand EquationsSession 1: GraphingParabolasModule: AlgebraicExpressions &FunctionsUnit: Radical Equationsand FunctionsSession 2: The Inverseof the Square RootFunctionModule: AlgebraicExpressions &FunctionsUnit: RationalExpressions, Equations,and FunctionsSession 1: RationalOperationsSession 2: RationalFunctions

SAM08118 (B4)Determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion. (18.0)

18.0 Students determinewhether a relation defined by agraph, a set of ordered pairs,or a symbolic expression is afunction and justify theconclusion.

Module: LinearFunctions &EquationsUnit: Introduction toFunctionsSession 3: Relationsand FunctionsSystems of LinearEquationsUnit: Graphic

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Solutionsof Linear SystemsSession 2: GraphingParallel & PerpendicularLines

SAM08119 (B3)Know the quadratic formula and become familiar with its proof by completing the square. (19.0)

19.0 Students know thequadratic formula and arefamiliar with its proof bycompleting the square.

Module: QuadraticFunctions &EquationsUnit: Solving QuadraticEquations UsingAlgebraSession 2: The SquareRoot Method andCompleting the SquareSession 3: TheQuadratic Formula

SAM08120 (B3)Use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. (20.0)

20.0 Students use thequadratic formula to find theroots of a second-degreepolynomial and to solvequadratic equations.

Module: QuadraticFunctions &EquationsUnit: Solving QuadraticEquations UsingAlgebraSession 3: TheQuadratic Formula

SAM08121 (B4)Graph quadratic functions and know that their roots are the x-intercepts. (21.0)

21.0 Students graph quadraticfunctions and know that theirroots are the x-intercepts.

Module: QuadraticFunctions &EquationsUnit: GraphingQuadratic Functionsand EquationsSession 1: GraphingParabolas

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Session 2: AnalyzingProperties of ParabolasSession 3: SolvingQuadratic Equations byGraphingModule: QuadraticFunctions &EquationsUnit: Solving QuadraticEquations UsingAlgebraSession 1: Factoringand the Zero ProductTheorem

SAM08122 (B3)Use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one or two points. (22.0)

22.0 Students use thequadratic formula or factoringtechniques or both todetermine whether the graph ofa quadratic function willintersect the x-axis in zero,one, or two points.

Module: QuadraticFunctions &EquationsUnit: Solving QuadraticEquations UsingAlgebraSession 1: Factoringand the Zero ProductTheoremSession 2: The SquareRoot Method andCompleting the SquareSession 3: TheQuadratic Formula

SAM08123 (B4)Apply quadratic equations to physical problems, such as

23.0 Students apply quadraticequations to physicalproblems, such as the

Module: QuadraticFunctions &EquationsUnit: Graphing

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the motion of an object under the force of gravity. (23.0)

motionof an object under the force ofgravity.

Quadratic Functionsand EquationsSession 2: AnalyzingProperties of ParabolasSession 3: SolvingQuadratic Equations byGraphing

24.0 Students use and knowsimple aspects of a logicalargument.

CHM0812401 (B4)Use and know simple aspects of a logical argument: Explain the difference between inductive and deductive reasoning and identify and provide examples of each. (24.1)

24.1 Students explain thedifference between inductiveand deductive reasoning andidentify and provide examplesof each.

CHM0812402 (B1)Use and know simple aspects of a logical argument: Identify the hypothesis and conclusion in logical deduction. (24.2)

24.2 Students identify thehypothesis and conclusion inlogical deduction.

CHM0812403 (B4) 24.3 Students use

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Use and know simple aspects of a logical argument: Use counterexamples to show that an assertion is false and recognize that a single counter example is sufficient to refute an assertion. (24.3)

counterexamples to show thatan assertion is false andrecognize that a singlecounterexample is sufficient torefute an assertion.

25.0 Students use propertiesof the number system to judgethe validity of results, to justifyeach step of a procedure, andto prove or disprovestatements. Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements.

Module: Operationswith NumbersUnit: Addition andSubtraction of WholeNumbersSession 1: WholeNumber SumsModule: Operationswith NumbersUnit: The IntegersSession 2: DifferencesBetween IntegersModule: Operationswith NumbersUnit: Multiplication andDivision of WholeNumbersSession 1: Two-digitMultipliers

Module: Integers &Order of OperationsUnit: Order ofOperationsSession 1: SimplifyingExpressionsSession 2: Introducingthe Distributive PropertySession 3: UsingGrouping Symbols

Module: Essentials ofAlgebraUnit: AlgebraFundamentalsSession 2: IdentifyingComponents ofAlgebraic ExpressionsSession 3: ReplacingVariables in a FormulaModule: Essentials ofAlgebraUnit: Evaluating anAlgebraic ExpressionSession 2: CombiningLike TermsSession 3: EvaluatingExpressions UsingSubstitutionModule: Essentials of

Module: TheLanguage of AlgebraUnit: Variables,Expressions, andEquationsSession 2: ApplyingProperties of RealNumbersSession 3: Evaluatingand SimplifyingExpressionsModule: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 1: ApplyingInverse Operations

Module: The RealNumber SystemUnit: Rational andIrrational NumbersSession 1: Defining theReal NumbersSession 2: Working withRadicalsModule: QuadraticFunctions &EquationsUnit: Solving QuadraticEquations UsingAlgebraSession 1: Factoringand the Zero ProductTheorem

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AlgebraUnit: Simple EquationsSession 1: UsingVariables to ExpressRelationshipsSession 2: SimplifyingAlgebraic ExpressionsSession 3: SolvingSimple EquationsModule: Essentials ofAlgebraUnit: Variables on BothSides of the EquationSession 2: SimplifyingBoth Sides of anEquationSession 3: Checking theSolution to an Equation

CHM0812501 (B2)Use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements: Use properties of numbers to construct simple, valid arguments (direct

25.1 Students use propertiesof numbers to construct simple,valid arguments (direct andindirect) for, or formulatecounterexamples to, claimedassertions.

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and indirect) for, or formulate counterexamples to claimed assertions (25.1)CHM0812502 (B1)Use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements: Judge the validity of an argument according to whether the properties of the real number system and the order of operations have been applied correctly at each step. (25.2)

25.2 Students judge thevalidity of an argumentaccording to whether theproperties of the real numbersystem and the order ofoperations have been appliedcorrectly at each step. Students judge thevalidity of an argumentaccording to whether theproperties of the real numbersystem and the order of operations have been applied correctly at each step.

Module: Operationswith NumbersUnit: Addition andSubtraction of WholeNumbersSession 1: WholeNumber SumsModule: Operationswith NumbersUnit: The IntegersSession 2: DifferencesBetween IntegersModule: Operationswith NumbersUnit: Multiplication andDivision of WholeNumbersSession 1: Two-digitMultipliers

Module: Integers &Order of OperationsUnit: Order ofOperationsSession 1: SimplifyingExpressionsSession 2: Introducingthe Distributive PropertySession 3: UsingGrouping Symbols

Module: Essentials ofAlgebraUnit: AlgebraFundamentalsSession 2: IdentifyingComponents ofAlgebraic ExpressionsSession 3: ReplacingVariables in a FormulaModule: Essentials ofAlgebraUnit: Evaluating anAlgebraic ExpressionSession 2: CombiningLike TermsSession 3: EvaluatingExpressions UsingSubstitutionModule: Essentials ofAlgebraUnit: Simple EquationsSession 1: UsingVariables to ExpressRelationshipsSession 2: Simplifying

Module: TheLanguage of AlgebraUnit: Variables,Expressions, andEquationsSession 2: ApplyingProperties of RealNumbersSession 3: Evaluatingand SimplifyingExpressionsModule: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 1: ApplyingInverse Operations


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Algebraic ExpressionsSession 3: SolvingSimple Equations

CHM0812503 (B4)Use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements: Given a specific algebraic statement involving linear, quadratic, or absolute value expressions or equations or inequalities, determine whether the statement is true sometimes, always, or never. (25.3)

25.3 Given a specific algebraicstatement involving linear,quadratic, or absolute valueexpressions or equations orinequalities, studentsdetermine whether thestatement is true sometimes,always, or never. Given a specific algebraicstatement involving linear,quadratic, or absolute valueexpressions or equations orinequalities, studentsdetermine whether thestatement is true sometimes,always, or never.

Module: Essentials ofAlgebraUnit: AlgebraFundamentalsSession 2: IdentifyingComponents ofAlgebraic ExpressionsSession 3: ReplacingVariables in a FormulaModule: Essentials ofAlgebraUnit: Evaluating anAlgebraic ExpressionSession 2: CombiningLike TermsSession 3: EvaluatingExpressions UsingSubstitutionModule: Essentials ofAlgebraUnit: Simple EquationsSession 1: UsingVariables to ExpressRelationshipsSession 2: SimplifyingAlgebraic

Module: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 1: ApplyingInverse OperationsSession 3: SolvingAbsolute ValueEquationsModule: LinearFunctions &EquationsUnit: Introduction toFunctionsSession 3: Relationsand FunctionsModule: Systems ofLinear EquationsUnit: Graphic Solutionsof Linear SystemsSession 1: Finding thePoint of IntersectionSession 2: GraphingParallel andPerpendicular LinesModule: LinearInequalitiesUnit: Inequalities in OneVariable

Module: The RealNumber SystemUnit: Rational andIrrational NumbersSession 3: The SquareRoot FunctionModule: QuadraticFunctions &EquationsUnit: Solving QuadraticEquations UsingAlgebraSession 1: Factoringand the Zero ProductTheoremSession 2: The SquareRoot Method andCompleting the SquareSession 3: TheQuadratic FormulaModule: AlgebraicExpressions &FunctionsUnit: Radical Equationsand FunctionsSession 1: SolvingRadical EquationsModule: AlgebraicExpressions &

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ExpressionsSession 3: SolvingSimple EquationsModule: Essentials ofAlgebraUnit: Variables on BothSides of the EquationSession 3: Checking theSolution to an EquationModule: Essentials ofAlgebraUnit: Solving LiteralEquationsSession 3: SubstitutingValues and Solving anEquation

Session 1: ApplyingInverse OperationsSession 2: GraphingSolutions on a NumberLineSession 3: SolvingAbsolute ValueInequalitiesModule: LinearInequalitiesUnit: Inequalities in TwoVariablesSession 2: SolvingSystems by Graphing

FunctionsUnit: RationalExpressions, Equations,and FunctionsSession 3: RationalEquations

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