Core Courses and Electives

CoreCoursesandElectives   AlgebraII  AlgebraII–isafullŊyear,highschoolmathcourseintendedforthestudentwhohassuccessfullycom...
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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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