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Unit Title: Numbers and FunctionMonth(s): August/SeptemberContent Standards:9-12.A.3.1.9-12.A.3.2.9-12.A.4.1.9-12.A.4.3A.9-12.G.2.2.9-12.G.2.3.9-12.N.1.1.9-12.N.2.1.9-12.N.2.1A.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Identify and use Properties of Real NumbersEvaluate expressions by using the order of operations.Natural numbersWhole NumbersIntegersRational NumbersIrrational NumbersReal NumbersCommutative PropertyAssociative PropertyIdentity PropertyClosure PropertyInverse PropertyDistributive PropertyOrder of OperationsQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackEvaluate expressions involving exponents.Simplify expressions involving exponents.BasePower ExponentProperties of ExponentsRational ExpressionsQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackState the domain and range of a relation, and tell whether it is a function.Write a function in function notation and evaluate it. FunctionDomainRangeVertical Line TestRelationDiscrete FunctionContinuous FunctionIndependent VariableDependent VariableQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackPerform operations with functions to write new functions.Find the composition of two functions.SumDifferenceProductQuotientCompositeQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Data and Linear RepresentationsMonth(s): September/OctoberContent Standards:9-12.A.1.1.9-12.A.2.1.9-12.A.2.2.9-12.A.2.3A.9-12.A.3.1.9-12.A.3.2.9-12.A.4.1.9-12.A.4.6A.9-12.G.1.4A.9-12.G.2.3.9-12.M.1.1.9-12.M.1.2.9-12.M.1.3.9-12.S.1.1.9-12.S.1.3.9-12.S.2.1.9-12.N.1.1.9-12.N.1.2A.9-12.N.3.1.9-12.N.3.2.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Represent a real-world linear relationship in a table, graph or equation.Identify linear equations and linear relationships between variable in a table.Linearly relatedLinear equationQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackGraph a linear equation.Write a linear equation for a given line in the coordinate plane.Slope of a Liney-interceptslope-intercept formstandard formx-intercepthorizontal linevertical lineQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackWrite a linear equation in two variables given sufficient information.Write an equation for a line that is parallel or perpendicular to a given line.Point Slope FormParallel LinePerpendicular LinesQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackWrite and apply direct-variation equations.Write and solve proportions.Direct-Variation EquationConstant of VariationRatioProportionCross-Product PropertyQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackCreate a scatter plot.Use a graphics calculator to find an equation for the least-squares line.Scatter plotLeast-square lineCorrelationQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Solving Equations and InequalitiesMonth(s): OctoberContent Standards:9-12.A.1.1.9-12.A.2.1.9-12.A.2.2.9-12.A.2.3A.9-12.A.3.1.9-12.A.3.2.9-12.A.4.1.9-12.A.4.6A.9-12.G.1.4A.9-12.G.2.3.9-12.M.1.1.9-12.M.1.2.9-12.M.1.3.9-12.S.1.1.9-12.S.1.3.9-12.S.2.1.9-12.N.1.1.9-12.N.1.2A.9-12.N.3.1.9-12.N.3.2.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Write and solve a linear equation in one variable.Solve a literal equation for a specified variable.EquationVariableSolutionProperties of EqualitySubstitution PropertyTermsLike TermsSimplifiedLiteral EquationEquivalentQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackWrite, solve, and graph linear inequalities in one variable.Solve and graph compound linear inequalities in one variable.Inequality SolutionProperties of InequalityQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackWrite, solve, and graph absolute-value equations.Absolute valueQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Systems of Linear Equations and InequalitiesMonth(s): NovemberContent Standards:9-12.A.2.2A.9-12.N.1.19-12.N.3.2.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Solve a system of linear equations in two variables by graphing.Systems of EquationsLinear SystemSolution of a system Inconsistent SystemConsistent SystemIndependent SystemDependent SystemQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackSolve a system of linear equations in two variables by substitution.SubstitutionQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackSolve a system of linear equations in two variables by elimination.EliminationEquivalent SystemsQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackSolve and graph a linear inequality in two variables.Systems of linear inequalitiesQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Quadratic Functions and FactoringMonth(s): November/DecemberContent Standards:9-12.A.2.1A.9-12.A.3.1A.9-12.G.1.2.9-12.G.2.3.9-12.N.1.1.9-12.N.3.2.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Identify quadratic functions.Graph quadratic function. Multiply linear binomials to produce a quadratic expression.ParabolaQuadratic functionAxis of symmetryVertex of the parabolaMinimum valueMaximum valueQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackSolve quadratic equations by taking square roots.Use the Pythagorean Theorem to solve right triangle problems involving right triangles.Square RootsPythagorean TheoremQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackFactor quadratic expressions.FactoringGreatest Common FactorPerfect square TrinomialDifference of Two SquaresQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUse factoring to solve a quadratic equation and find the zeros of a quadratic function.Zero-Product PropertyZeros of a FunctionQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Solving Quadratic Functions and Complex NumbersMonth(s): JanuaryContent Standards:9-12.A.1.2A.9-12.A.2.1A.9-12.N.1.1A.9-12.N.1.2A.9-12.S.1.5A.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Use completing the square to solve a quadratic pleting the SquareQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUse the quadratic formula to find real roots of quadratic equations.Classify and find all roots of a quadratic equation.Quadratic FormulaDiscriminantQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackGraph and perform operations on complex numbers.Imaginary NumberComplex numberPure imaginary numberComplex number planeComplex conjugatesQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackWrite, solve, and graph a quadratic inequality in one variable.Write, solve, and graph a quadratic inequality in two variables.Systems of Quadratic InequalitiesQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Polynomial FunctionsMonth(s): FebruaryContent Standards:9-12.A.1.1A.9-12.A.4.2A.9-12.A.4.5A.9-12.N.2.1.9-12.N.2.2.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Identify, evaluate, add, and subtract polynomials.Classify polynomials and describe the shapes of their graphs.MonomialDegree of a MonomialPolynomialDegree of a PolynomialPolynomial FunctionStandard FormTurning PointEnd BehaviorMaximumMinimumQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackMultiply polynomials and divide one polynomial by another using long and synthetic division.Synthetic DivisionRemainder TheoremQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackSolve polynomial equations.Sum of CubesDifference of CubesQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackFind the real zeros of polynomial functions and state the multiplicity of eachMultiplicityQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Rational FunctionsMonth(s): MarchContent Standards:9-12.A.2.1.9-12.A.2.2.9-12.G.2.3A.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Simplify rational expressions, including complex fractions.Rational FunctionContinuous GraphDiscontinuous GraphPoints of DiscontinuityQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackMultiply and divide rational expressionsAdd and subtract rational expressions.Rational ExpressionSimplest FormComplex FractionQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackSolve a rational equation or inequality by using algebra, a table, or a graph.Solve problems by using a rational equation or inequality.Rational EquationQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Radical FunctionsMonth(s): AprilContent Standards:Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Simplify radical expressions.Nth rootPrincipal rootRadicandindexQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackAdd, subtract, multiply and divide radical expressionsSimplest Form of a RadicalQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackRationalize a denominator.Rationalize the denominatorQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackUnit Title: Trigonometric FunctionsMonth(s): April/MayContent Standards:9-12.G.1.2A.9-12.G.1.3A.9-12.M.1.1.9-12.M.1.3.9-12.M.1.1A.9-12.M.1.2A.Essential Questions:SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Find the trigonometric functions of acute angles.Solve a right triangle by using trigonometric functions.SineCosineTangentQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackFind coterminal and reference angles.Find the trigonometric function values of angles in standard position.Find exact values for trigonometric functions of special angles and their multiples.CoterminalReferenceStandard PositionTerminalQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackFind approximate values for trigonometric functions of any angle.Convert from degree measure to radian measure and vice versa.Unit CircleRadian MeasureDegree MeasureQuizDaily WorkDakotaStepTest (MC, FR, Vocabulary)Board WorkOral FeedbackEssential Skills: Algebra IILinear Functions and InequalitiesThe student will:Perform operations of linear functions and inequalities. Perform operations of systems of linear functions and linear inequalities. Apply operations of linear functions, inequalities and systems to real world situations. Quadratic and Radical FunctionsThe student will:Recognize, graph, rewrite, and describe different forms of a quadratic function. Determine significant values in the graph of a quadratic function. Simplify and solve radical expressions and functions. Perform operations involving complex numbers. Polynomial and Rational FunctionsThe student will:Identify and simplify polynomial expressions. Evaluate and solve polynomial functions. Perform the operations of rational functions. TrigonometryThe student will:Recognize, manipulate and apply properties of basic trigonometric functions Solve triangles ................
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