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Algebra II ARRC

Algebra II ARRC. 2009-2010. Algebra II. FUNCTIONS Linear Absolute Value Polynomials Quadratic INVERSE FUNCTIONS Radicals Rational Functions Exponential/Logarithmic NON FUNCTIONS Conics. 1 st Six Weeks. 1A – Equations and Inequalities 2A – Functions * Definition, Notation,

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Algebra II ARRC

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  1. Algebra II ARRC 2009-2010

  2. Algebra II FUNCTIONS Linear Absolute Value Polynomials Quadratic INVERSE FUNCTIONS Radicals Rational Functions Exponential/Logarithmic NON FUNCTIONS Conics

  3. 1st Six Weeks • 1A – Equations and Inequalities • 2A – Functions * Definition, Notation, Add, Sub, Mult & Compose Independent/Dependent Domain Range • 3A – Linear Equations * Collect Data, equations, slopes/intercepts, Transformations • 4 days & test • 2 days Not tested • 5 days & test include Functions Topics Timeline

  4. 2nd Six Weeks • Systems of Equations Set up 2x2 & 3x3 Solve by Graph, Substitute, Eliminate • Matrices Set up Operations & Inverses Solve Inverse/Row Reduction • 7 days • 4 days Topics Timeline

  5. 3rd Six weeks • Single Variable and Functional Absolute Values * Definition Inequalities Build Function as piecewise function Transformations • Polynomial Functions * End Behavior even/odd transformations • 6 days • 7 days Topics Timeline

  6. 4th Six Weeks • Graphing and Transforming Quadratics * Symmetry Vertex Transformation • Solving Quadratics Complete the Square Quad. Formula Graphic • 8 days • 5 days Topics Timeline

  7. 5th Six Weeks • Inverse Functions Find the inverse Symmetry Limit Domain / Range 1-1 functions • Radical Functions* Inverse of Quadrant • Rational Functions* Asymptotes Domain & Range • 5 days • 5 days • 5 days Topics Timeline

  8. 6th Six Weeks (Topics in any order) • Exponential * • Logarithmic * • TAKS Review • Non- Functions: Conics • Circle, Ellipse, Hyperbola, Parabola • Transformations • 4 day • 4 days • 3 days • 7 days Topics Timeline

  9. Algebra II FUNCTIONS Linear Absolute Value Polynomials Quadratic INVERSE FUNCTIONS Radicals Rational Functions Exponential/Logarithmic NON FUNCTIONS Conics • 1B • 1C, 2A, 2B • 3A • 3B • 4A, 4B • 5A • 5B • 6A • 6B • 6D Topics Timeline

  10. 1st Six Weeks - Technology • 1A – Equations and Inequalities Calculator Skill: Graph each side of equation on y1 and y2, and find the intersection with calc and tables. • 2A – Functions * • 3A – Linear Equations * Calculator Skill: Graph lines, Record t-charts, Plot Points, Check simplified answers using the table or graph, graph, Regress Lines, graph and calculate intersections and intercepts. Motion detectors to interpret x and y axis of graphs, set appropriate window Topics

  11. 2nd Six Weeks - Technology • Systems of Equations Check to find solutions graphically Graph Inequalities and evaluate solutions, graph lines and calculate intersections. • Matrices Set up matrices and use the operations, solve systems with [A]-1[B], Row Reduction with calculator Topics

  12. 3rd Six weeks - Technology • Single Variable and Functional Absolute Values * Absolute value, piecewise functions, Graph Absolute value use zero to calc solution and tables to interpret equations and inequalities • Polynomial Functions * Use calculator to investigate and predict the shapes of odd or even functions and the number of possible real roots. Use the calculator to aid in checking the arithmetic Topics

  13. 4th Six Weeks - Technology • Graphing and Transforming Quadratics * Use the calculator to find the vertex with calc Max/Min, Plot points, set appropriate window • Solving Quadratics Use the calculator to investigate the relations ships between the zeros and the factors of the quadrilateral, Regress function, check simplified answers, Topics

  14. 5th Six Weeks - Technology • Inverse Functions Use the calculator to investigate the graphs of inverses. • Radical Functions* Use the calculator to find the domain and ranges using graphs and tables. Calculate intersections • Rational Functions* Use the calculator, trace to find the values of asymptotes and their equations Topics

  15. 6th Six Weeks (Topics in any order) • Exponential * Use calculator to find domain and range using graphs and tables. Calculate solutions using intersections. • Logarithmic * Use the calculator to solve for exponents. Use the log key to solve common logs, natural logs and use change of base to solve for others. • TAKS Review • Non- Functions: Conics (Graph paper….limited calculator) Topics

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