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
2. Real Numbers
3. Solving Linear Equations
4. Graphing Relations and Functions
5. Analyzing Linear Equations
6. Solving Linear Inequalities
7. Solving Systems of Linear Equations and Inequalities
8. Polynomials
9. Factoring
10. Quadratic Functions
11. Radical Expressions
12. Rational Expressions and Equations
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
- Rational Numbers on the Number Line
- Adding, subtracting, multiplying, dividing Rational Numbers
- Square Roots and Real Numbers
- Simple Probability and Odds
3. 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 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 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. Polynomials
- Multiplying and Dividing Monomials
- Adding, Subtracting, and Multiplying Polynomials
- Special Products
9. 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