**College Prep. Algebra 2 Topics***All topics listed below are presented to the students in a way that is consistent with the vision*

of the NCTM (National Council of Teachers of Mathematics)

of the NCTM (National Council of Teachers of Mathematics)

**1. Solving Equations and Inequalities**

Expressions and Formulas

Properties of Real Numbers

Solving Equations

Solving Absolute Value Equations

Solving Inequalities

Solving Compound and Absolute Value Inequalities

**2. Linear Relations and Functions**

Relations and Functions

Linear Equations

Slope

Writing Linear Equations

Special Functions

Graphing Inequalities

**3. Systems of Equations and Inequalities**

Solving Systems of Equations by Graphing

Solving Systems of Equations by Substitution Method

Solving Systems of Equations by Elimination Method

Solving Systems of Inequalities by Graphing

Solving Systems of Equations in three variables

**4. Matrices**

Adding, Subtracting, and Multiplying Matrices

Determinants

Cramer's Rule

Using Matrices to Solve Systems of Equations

**5. Polynomials**

Monomials, and Polynomials

Dividing Polynomials

Factoring Polynomials

Roots of Real Numbers

Radical Expressions

Rational Exponents

Radical Equations and Inequalities

**6. Quadratic Functions and Inequalities**

Graphing Quadratic Functions

Solving Quadratic Equations by Graphing, Factoring, Completing the Square, and Quadratic Formula

Analyzing graphs of Quadratic Functions- The Discriminant

Graphing and Solving Quadratic Inequalities

**7. Operations on Functions**

Combining functions by Addition, Subtraction, Multiplication, Division, and Composition

Inverse Functions and Relations

Square Root Functions and Inequalities

**8. Conic Sections**

Graphing the Parabola, Ellipse, Circle, and Hyperbola

Standard Form and General Form

Solving Quadratic Systems

**9. Rational Expressions and Equations**

Adding, Subtracting, Multiplying, Dividing Rational Expressions

Graphing Rational Functions

Classes of Functions

Solving Rational Equations and Inequalities

Direct, Joint, and Inverse Variation

**10. Exponential and Logarithmic Functions**

Definition and graphs of Exponential and Logarithmic

Functions

Common and Natural Logarithms

Properties of Logarithms

Solving Exponential and Logarithmic Equations and Inequalities

**11. Probability and Statistics**

The counting principle

Permutations and Combinations

Probability

Measures of Central Tendency: Mean, Median, Mode, and Standard Deviation

The Normal Distribution