Students investigate the symbols and rules of algebra and how they are used to represent relationships. They learn how to solve linear equations, then progress to graphing linear functions and systems and studying linear inequalities and absolute values. Lessons and activities include:

• The Language of Algebra: variables, expressions and equations, solving equations
• Linear Functions and Equations: the rectangular coordinate plane, introduction to functions
• Systems of Linear Equations: graphic solutions of linear systems, algebraic solutions of linear systems
• Linear Inequalities: inequalities in one variable, inequalities in two variables

Scope & Sequence

1. THE LANGUAGE OF ALGEBRA
1.1 Variables, Expressions, and Equations

• Translating Words into Expressions
• Applying Properties of Real Numbers
• Evaluating and Simplifying Expressions

1.2 Linear Equations in One Variable

• Applying Inverse Operations
• Transforming Equations using Multiple Operations
• Solving Absolute Value Equations

2. LINEAR FUNCTIONS & EQUATIONS
2.1 The Rectangular Coordinate Plane

• Graphing Ordered Pairs
• Defining Slope
• Finding x- and y-Intercepts

2.2 Introduction to Functions

• Exploring the Slope-Intercept Equation of a Line
• Exploring the Point-Slope Equation of a Line
• Relations and Functions

3 SYSTEMS OF LINEAR EQUATIONS
3.1 Graphic Solutions of Linear Systems

• Finding the Point of Intersection
• Graphing Parallel & Perpendicular Lines

3.2 Algebraic Solutions of Linear Systems

• Using Substitution to Eliminate a Variable
• Using Addition or Subtraction to Eliminate a Variable

4 LINEAR INEQUALITIES
4.1 Inequalities in One Variable

• Applying Inverse Operations Graphing Solutions on a Number Line
• Solving Absolute Value Inequalities

4.2 Inequalities in Two Variables

• Graphing Solutions on a Rectangular Coordinate Plane
• Solving Systems by Graphing