**CP Algebra 1**

*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)***1. The Language of Algebra**

**Variables and Expressions, Order of Operations,Open Sentences****Properties of Real Numbers****Graphs and Functions****Logical Reasoning****Analyzing Data by Using Graphs and Tables**

2. Real Numbers

2. Real Numbers

**Rational Numbers on the Number Line****Adding, subtracting, multiplying, dividing Rational Numbers****Square Roots and Real Numbers****Simple Probability and Odds**

3. Solving Linear Equations3. Solving Linear Equations

- Solving Linear Equations
- Ratios and Proportions
- Percent of Change
- Solving Equations and Formulas

**4. Graphing Relations and Functions****The Coordinate Plane,****Transformations on the Coordinate Plane****Relations****Equations as relations****Graphing Linear Equations (by hand and with graphing calculator)****Functions****Arithmetic Sequences****Writing Equations from Patterns****The Language of Algebra**

**5. Analyzing Linear Equations**

**Slope****Slope and Direct Variation****Slope-Intercept Form****Writing Equations in Slope-Intercept Form****Writing Equations in Point-Slope Form****Parallel and Perpendicular Lines****Scatter Plots and Lines of Best Fit**

6. Solving Linear Inequalities6. Solving Linear Inequalities

**Solving Multi-Step Linear Inequalities****Solving Compound Inequalities****Solving Open Sentences involving Absolute Value****Graphing Inequalities in two variables ( by hand and by calculator)**

7. Solving Systems of Linear Equations and Inequalities7. Solving Systems of Linear Equations and Inequalities

**Solving Systems of Equations Graphically****Solving Systems of Equations by Substitution Method****Solving Systems of Equations by the Elimination Method****Graphing Systems of Inequalities**

8. Polynomials8. Polynomials

**Multiplying and Dividing Monomials****Adding, Subtracting, and Multiplying Polynomials****Special Products**

9. Factoring9. Factoring

**Factors and G.C.F.****Factoring by using the Distributive Property****Factoring Trinomials****Factoring Differences of Squares**- Factoring Perfect Squares

10. Quadratic Functions

- Graphing Quadratic Functions
- Solving Quadratic Equations by Graphing
- Solving Quadratic Equations by Completing the Square

- Solving Quadratic Equations by using the Quadratic Formula

11. Radical Expressions

- Simplifying Radical Expressions
- Operations with Radical Expressions
- Radical Equations
- The Pythagorean Theorem

12. Rational Expressions and Equations

- Rational Expressions
- Adding, subtracting, Multiplying, and Dividing Rational Expressions
- Solving Rational Equations