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IMMACULATE HEART ACADEMY

 

COURSE OUTLINE

DEPARTMENT:  Mathematics                                  DATE:   2006 - 2007

     COURSE TITLE:  Algebra II                              COURSE NUMBER:  5310

      n  YEAR                                  QPA:  4.5

            o  SEMESTER                         CREDITS:  5

 

TEXTBOOKS: (Title, Author, Publisher, Edition)

      McDougal Littell  Algebra II

      Larson, Boswell, Kanold, Stiff

      McDougal Littell Inc., 2001

MATERIALS USED:

      TI-83 Plus graphing calculators, IBM ThinkPad, supplementary materials as supplied by McDougal Littell

 

MEANS OF ASSESSMENT:

      Tests, quizzes, homework (exercises appropriate to course level), class performance

CONTENT OF COURSE:

 

1.      Equations and Inequalities

        Real Numbers and Number Operations/ Using Properties of Real Numbers

        Algebraic Expressions and Models/ Simplify Algebraic Expressions

        Solving Linear Equations

        Rewriting Equations and Formulas/ Rewriting Common Formulas

        Problem Solving Using Algebraic Models

        Solving Linear Inequalities/ Solving Compound Inequalities

        Solving Absolute Value Equations and Inequalities

 

2.      Linear Equations and Functions

        Functions and their Graphs/ Graphing and Evaluating Functions

        Slope and Rate of Change

        Quick Graphs of Linear Equations/ Standard Form

        Writing Equations of Lines/ Writing Direct Variation Equations

        Correlation and Best-Fitting Lines

        Linear Inequalities in Two Variables

 

3.      System of Liner Equations in Inequalities

        Solving Linear Systems by Graphing

        Solving Linear Systems Algebraically/ Using Linear Systems in Real Life

        Graphing and Solving Systems of Linear Inequalities

 

 

      5.   Quadratic Functions

        Graphing Quadratic Functions

        Solving Quadratic Equations by Factoring

        Solving Quadratic Equations by Finding Square Roots

        Complex Numbers

        Completing the Square

        The Quadratic Formula and the Discriminant

        Graphing and Solving Quadratic Inequalities

 

6.      Polynomials and Polynomial Functions

        Using Properties of Exponents

        Evaluating and Graphing Polynomial Functions

        Adding, Subtracting, and Multiplying Polynomials

        Factoring and Solving Polynomial Equations/ Solving a Polynomial Equation

        The Remainder and Factor Theorems

 

7.      Powers, Roots, and Radicals

        nth Roots and Rational Exponents

        Properties of Rational Exponents

        Inverse Functions

        Solving Radical Equations

        Statistics and Statistical Graphs/ Using Statistical Graphs

 

9.   Rational Equations and Functions

        Multiplying and Dividing Rational Expressions

        Addition, Subtraction, and Complex Fractions

        Solving Rational Equations

 

10. Quadratic Relations and Conic Sections

        The Distance and Midpoint Formulas

 

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