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

• 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