Lesson Plan: Linear Inequalities

This is the fourth lesson in a five-part series on linear equations and inequalities designed for middle school students. In this lesson, students explore the fundamentals of linear inequalities, including solving inequalities algebraically and graphing solution sets on the coordinate plane. Through step-by-step instruction, students learn to interpret inequality symbols, apply inverse operations, and determine whether to use solid or dashed boundary lines in graphs.

The lesson includes real-world applications, such as budgeting constraints, work-hour limits, and spending allowances, demonstrating how linear inequalities are used in everyday decision-making. Aligned with Common Core Standards 6.NS.C.7a, 6.EE.B.5, 8.EE.B.5, and 8.EE.C.7b, this lesson builds on students’ prior knowledge of linear equations while introducing a broader understanding of algebraic inequalities.

Interactive activities include using Desmos to visualize inequalities and hands-on practice problems that reinforce key concepts. Students also engage in problem-solving exercises to interpret and graph solution sets. By the end of the lesson, students will confidently analyze and apply linear inequalities in mathematical and real-world contexts.

Subscribers to Media4Math can download this lesson plan in PDF format for convenient classroom use.