CoreCoursesandElectives
AlgebraII AlgebraII–isafullŊyear,highschoolmathcourseintendedforthestudentwhohassuccessfullycompletedthe prerequisitecourseAlgebraI.Thiscoursefocusesonalgebraictechniquesandmethodsinordertodevelopstudent understandingofadvancednumbertheory,conceptsinvolvinglinear,quadraticandpolynomialfunctions,andpreŊ calculustheories.Thiscoursealsointegratesgeometricconceptsandskillsthroughouttheunits,aswellasintroducing studentstobasictrigonometricidentitiesandproblemsolving. Objectives x x x x x x x x x x x x x
Understandsetnotationandthestructureofmathematicalsystems. Calculateandperformoperationswithrealandimaginarynumbers. Knowhowtousefunctionalnotationandoperationsonfunctions. Simplifyandsolvealgebraicfractions. Performoperationsonpolynomials,includingfactoring,longdivision,andsyntheticdivision. Solvealgebraicwordproblemsinvolvingmixtures,money,integers,andwork. Evaluateandsolveradicalexpressionsandequations. Solvesystemsofequationswithgraphing,substitution,andmatrices. Graphandsolvequadraticequations,includingconicsections. Graphandsolveexponentialandlogarithmicequations. ExploretrigonometricidentitiesandfunctionsusingtheUnitCircle,graphsandmodeling. Calculatepermutations,combinations,andcomplexprobabilities. Interpretsamplesurveys,normaldistributionsandobservationalstudies.
Unit1:Set,Structure,andFunction
AlgebraII
Assignments
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14.
CourseOverview PropertiesofSets OperationsofSets Quiz1:SetTheory Structure:Axioms Structure:Applications RelationsandFunctions:Definitions RelationsandFunctions:Graphs RelationsandFunctions:DomainandRange RelationsandFunctions:FunctionTransformations RelationsandFunctions:FunctionNotation RelationsandFunctions:Operations RelationsandFunctions:Inverses Quiz2:RelationsandFunctions
15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.
AlgebraicExpressions:ExponentsPart1 AlgebraicExpressions:ExponentsPart2 AlgebraicExpressions:MultiplicationandDivision Part1 AlgebraicExpressions:MultiplicationandDivision Part2 ExponentsofExponentialExpressions AlgebraicExpressions:CombiningTerms Quiz3:AlgebraicExpressions SpecialProject* Test AlternateTest* GlossaryandCredits
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CoreCoursesandElectives
Unit2:Numbers,Sentences,andProblems
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.
NumberOrderandAbsoluteValue SumsandProducts Quiz1:Numbers,Sentences,andProblems SolvingEquations MultiplicationProperty MultiŊstepEquations EquationswithParentheses LiteralExpressions SolvingInequalities GraphingSolutionSetsforInequalities CompoundSentences
12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.
Quiz2:EqualitiesandInequalities NumberProblems MotionProblems MiscellaneousProblems Quiz3:Problems PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24.
SolutionsbySubstitution ApplicationofSystemsofEquations Quiz2:SolutionsforSystems SolvingInequalities SolvingTwoŊorderInequalities Quiz3:SolvingInequalities PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26.
Quiz2:Polynomials NumericalRelationshipsfromIdentities DirectVariation InverseVariation JointandCombinedVariation Quiz3:WorkingwithVariations Project:CreatinganAlgorithm PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
Unit3:LinearEquationsandInequalities
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
LineGraphs LineGraphsbyTwoPoints SlopeofLinesPart1 SlopeofLinesPart2 Equations:PointSlopePart1 Equations:PointSlopePart2 Equations:PointSlopePart3 Equations:SlopeŊIntercept GeneralEquationofaLine Quiz1:Lines SolutionsforSystemsofEquations SolutionsbyAddition
Unit4:Polynomials
AlgebraII
Assignments
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
ProductsandFactoring MultiplyingPolynomialsbyPolynomials UsingSpecialProductsPart1 UsingSpecialProductsPart2 FactoringTrinomials FactoringSpecialProductsPart1 FactoringSpecialProductsPart2 Quiz1:SpecialProducts AdditionandSubtractionOperations DivisionwithPolynomials SyntheticDivision TheRemainderTheorem GraphingPolynomials
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CoreCoursesandElectives
Unit5:AlgebraicFractions
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
MultiplyingandDividingwithFractions ReducingRationalExpressions MultiplyingAlgebraicFractions DividingAlgebraicFractions Quiz1:AlgebraicFractions AddingandSubtractingRationalExpressions AdditionandSubtraction MixedExpressionsandComplexFractions Quiz2:AdditionandSubtractionofFractions EquationswithFractions FractionalEquations Proportions Quiz3:FractionalEquations
AlgebraII
14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.
GraphsofRationalFunctions GraphsofRationalFunctions(2) ApplicationsofFractions MixtureProblems WorkProblems Quiz4:ProblemswithFractions PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
Unit6:SemesterReviewandExam Assignments 1. 2.
Review Exam
3. 4.
AlternateExam–FormA* AlternateExam–FormB*
Unit7:RealNumbers
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
RealNumbers LawofRadicals Conjugates RadicalEquations Quiz1:RealNumbers StandardFormofaQuadraticFunction QuadraticEquations FactoringQuadraticEquations CompletingtheSquare Quiz2:QuadraticSolutions QuadraticFormula GraphsofQuadraticFunctions WordProblemsInvolvingQuadraticEquations
14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.
SumandProductofRoots TheDiscriminant TheFundamentalTheoremofAlgebra ImaginaryNumbers ComplexSolutions Quiz3:QuadraticFormula PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.
SolutionsofInequalities ApplicationsofConicSections–Part1 ApplicationsofConicSections–Part2 ApplicationsofConicSections–Part3 ConstantofProportionality Quiz3:ApplicationsofConics PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
Unit8:QuadraticRelationsandSystems
AlgebraII
Assignments
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
DistanceFormula Circle Ellipse EllipseContinued Quiz1:ConicsandtheCoordinatePlane ConicSections:Parabola ConicSections:ParabolaContinued ConicSections:Hyperbola ConicSections:HyperbolaContinued IdentifyingConicSections Quiz2:Conics SystemsofEquations
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CoreCoursesandElectives
Unit9:Functions
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.
AbsoluteValueFunctions ExponentialFunctions FractionalExponents RadicalFunctions GraphsofPieceŊWiseDefinedFunctions ExponentialEquations GraphingExponentialFunctions ExponentialApplications SolvingEquationsbyGraphingFunctions Quiz1:ExponentialFunctions LogarithmicFunctions EvaluationofLogarithms EvaluatingExponentialFunctions,Commonand NaturalLogarithms GeneralPropertiesofLogarithms ScientificNotation CalculationofCommonLogarithms
17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33.
GraphsofLogarithmicFunctions SolvingLogarithmicEquations GraphsofNaturalLogarithms LogarithmicApplications Quiz2:LogarithmicFunctions ComparingFunctions InverseFunctions Matrices SystemSolutionswithMatrices AdditionandMultiplicationofMatrices Quiz3:Matrices PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23.
Probability:Concepts Probability:EquallyLikelyOutcomes Probability:MultiplicationPrinciple ConditionalProbability Quiz4:Probability PerformanceTask AlternatePerformanceTask* SpecialProject* Test AlternateTest* GlossaryandCredits
11. 12. 13. 14. 15. 16. 17. 18. 19.
Quiz3:Graphs Project:RegressionCurve PerformanceTask AlternatePerformanceTask* SpecialProject* Review Test AlternateTest* GlossaryandCredits
Unit10:CountingPrinciples
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
Progressions:Sequences ArithmeticandGeometricSequences Progressions:Series Quiz1:SequencesandSeries Permutations:Factorials PermutationFormula Permutations:Applications Quiz2:Permutations CombinationFormula Combinations:Applications Combinations:BinomialCoefficients Quiz3:Combinations
Unit11:Trigonometry
AlgebraII
Assignments
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
TrigonometryBasics TheUnitCircle ReciprocalFunctions RadianMeasure Quiz1:UnitCircle TrigonometricFunctionsontheUnitCircle PythagoreanIdentity Quiz2:TrigonometricFunctions GraphsandAmplitude GraphsandModeling
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CoreCoursesandElectives
Unit12:Statistics
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
SampleSurveys NormalDistributions Simulations Experiments Quiz1:Statistics ObservationalStudies ProbabilityandDecisions Quiz2:StatisticalProbability PerformanceTask AlternatePerformanceTask*
11. 12. 13. 14. 15. 16. 17. 18. 19.
AppropriateModels ModelingFunctions RegressionModels Quiz3:MathModels SpecialProject* Review Test AlternateTest* GlossaryandCredits
14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26.
RealNumbersContinued Quiz2:Review QuadraticRelationsandSystems QuadraticsContinued ExponentialFunctions ExponentialFunctionsContinued CountingPrinciples CountingPrinciplesContinued Quiz3:Review SpecialProject* Test AlternateTest* GlossaryandCredits
Unit13:Review
AlgebraII
Assignments 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
Integers IntegersContinued OpenSentences OpenSentencesContinued Graphs GraphsContinued Quiz1:Review Polynomials PolynomialsContinued AlgebraicFractionsPart1 AlgebraicFractionsPart2 AlgebraicFractionsPart3 RealNumbers
AlgebraII
Unit14:SemesterReviewandExam Assignments 1. 2.
Review Exam
3. 4.
AlternateExam–FormA* AlternateExam–FormB*
4. 5.
PerformanceTask1* PerformanceTask2*
3.
AlternateExam–FormB*
AlgebraII
Unit15:FinalExam Assignments 1. 2. 3.
Exam AlternateExam–FormA* AlternateExam–FormB*
AlgebraII
Unit16:EndofCourseExam Assignments 1. 2.
Exam AlternateExam–FormA*
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