## Unit 2

aNALYZING Linear Inequalities

**UNIT dESCRIPTION**

In this unit, students will create, analyze, graph, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena. This represents the culmination of this progression of inequality beginning in elementary school with comparing values, to middle school working with inequalities in one variable, to now inequalities in two variables in Algebra: Concepts and Connections. The focus is to work through constraints with students in context and have students represent solutions and non solutions through exploration, substitution, and graphing for one linear inequality to then finally work with a system of inequalities in two variables.

**LEARNING TARGETS**

- I can rewrite linear inequalities in two variables into various forms for graphing (slope intercept form).
- I can create linear inequalities from word problems.
- I can graph an inequality on a coordinate plane.
- I can identify solutions and non solutions to a linear inequality.
- I can solve a system of linear inequalities by graphing.
- I can identify solutions and non solutions to a system of inequalities.

**TEXTBOOK CONNECTIONS**

__Module 6__Lesson 5- Graphing Inequalities in Two Variables: Students graph linear inequalities on the coordinate plane.

__Module 7__Lesson 5- Systems of Inequalities: Students solve systems of inequalities by graphing.

**IXL SKILLS**

__Linear Inequalities:__

- U.2: Solve for y

__Write two-variable inequalities: word problems:__

- U.5

__Graph a two-variable linear inequality:__

- U.3

__Solve systems of linear inequalities by graphing:__

- U.7

__Is (x, y) a solution to the system of equations?:__

- V.1

__Graph inequalities:__

- K.1

__Identify solutions to inequalities:__

- K.3