**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