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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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