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Unit 4: Linear Inequalities and Systems
Students examine solving and graphing linear inequalities and systems of linear inequalities.
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Unit
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Concept
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Practice
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Advanced
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What this unit covers
A Linear Inequalities in One Variable · 3 lessons
Goals
- Use a related equation to solve an inequality in one variable.
- Write and solve inequalities in one variable to represent the constraints in situations and to solve problems.
Lessons
- Representing Situations with Inequalities
- Solutions to Inequalities in One Variable
- Writing and Solving Inequalities in One Variable
B Linear Inequalities in Two Variables · 3 lessons
Goals
- Understand that a constraint on two variables can be represented by an inequality, a graph (a half-plane), and a verbal description.
- Write inequalities in two variables to represent the constraints in a situation, and use technology to graph the solution set to answer questions about the situation.
Lessons
- Graphing Linear Inequalities in Two Variables (Part 1)
- Graphing Linear Inequalities in Two Variables (Part 2)
- Solving Problems with Inequalities in Two Variables
C Systems of Linear Inequalities in Two Variables · 3 lessons
Goals
- Given a system of inequalities and their graphs, explain how to tell if a pair of values is a solution to the system.
- Understand that the solution set of a system of inequalities in two variables is composed of any pair of values that make both inequalities true, and that it is represented graphically by the region where the graphs overlap.
Lessons
- Solutions to Systems of Linear Inequalities in Two Variables
- Solving Problems with Systems of Linear Inequalities in Two Variables
- Modeling with Systems of Inequalities in Two Variables
Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.