Algebra 2 - Course Outline 


    I.     Key Learning Map: Equations and Inequalities

        1.1   Real Numbers and Number Operations

        1.2   Algebraic Expressions and Models 

        1.3   Solving Linear Equations

        1.4   Rewriting Equations and Formulas

        1.5   Problem Solving Using Algebraic Models

        1.6   Solving Linear Inequalities

        1.7   Solving Absolute Value Equations and Inequalities

    Handouts:  Complex Number System; Properties of Real Numbers


     II.    Key Learning Map: Linear Equations and Functions

        2.1   Functions and their Graphs

        2.2   Slope and Rate of Change

        2.3   Quick Graphs of Linear Equations

        2.4   Writing Equations of Lines

        2.5   Correlation and Line of Best Fit 

        2.6   Linear Inequalities in Two Variables

        2.7   Piecewise Functions

        2.8   Absolute Value Functions

    Handouts: Quick Reference Guide for Linear Equations; Line of Best

                      Fit (Calc.); Absolute Value Functions; Graphing Using Technology


     III.   Key Learning Map: Systems of Linear Equations and Inequalities

        3.1   Solving Linear Systems by Graphing

        3.2   Solving Linear Systems Algebraically

        3.3   Graphing and Solving Systems of Linear Inequalities 

        3.5   Graphing Linear Equations in Three Variables 

        3.6   Solving Systems of Linear Equations in Three Variables

    Handouts:  Solving Linear Systems (Graphing); Linear Systems (3 Methods);

                      3-Variable Graphs (Planes); 2-D vs. 3-D; Solving a System in 3



     IV.   Key Learning Map: Quadratic Functions 

        5.1   Graphing Quadratic Equations - Parabolas

        5.2   Solving Quadratic Equations by Factoring

        5.3   Solving Quadratic Equations by Finding Square Roots

        5.4   Complex Numbers (Imaginary)

        5.5   Completing the Square

        5.6   The Quadratic Formula and the Discriminant

    Handouts:  Vertex Form; Quadratic Equations and Parabolas;

                     Factoring Polynomials; Imaginary Number System;

                     Operations on Complex Numbers; Methods for Solving 

                     Quadratic Equations


     V.    Key Learning Map: Polynomial Functions

        6.1   Using the Properties of Exponents

        6.2   Evaluating and Graphing Polynomial Functions

        6.3   Adding, Subtracting, and Multiplying Polynomials

        6.4   Factoring and Solving Polynomial Equations

        6.5   Polynomial Division

    Handouts:  Exponent Properties; Polynomials; Types of Polynomials

                      and How to Graph Them; Basic Functions (Graphs)


     VI & VII.     Key Learning Map: Rational Expressions and Equations

        9.4   Multiplying and Dividing Rational Expressions

        9.5   Adding and Subtracting Rational Expressions; Complex Fractions

        9.6   Solving Rational Equations

        7.1   nth Roots and Rational Exponents

        7.2   Properties of Rational Exponents

        7.6   Solving Radical Equations


     *Extra Topics worth looking into:

        7.3    Power Functions and Function Operations

        12.1  The Fundamental Counting Principal and Permutations 

        12.2  Combinations

        12.3  An Introduction to Probability

        12.7  Normal Distributions and Standard Deviation 

        7.7    Statistical Graphs

        10.1  The Distance Formula and Midpoint Formula

        8.1/8.2   Exponential Growth and Decay 

    Handout: Probability and Statistics