Lesson Plan: Systems of Inequalities

In this final lesson of the Systems of Equations Unit, students will learn how to solve and graph systems of inequalities. Unlike systems of equations, which have a single solution point or no solution, systems of inequalities have solution regions that represent multiple possible solutions.

Students will:

• Understand the difference between systems of equations and systems of inequalities
• Graph linear inequalities and identify solution regions
• Determine the intersection of multiple inequalities to find the feasible solution set
• Apply systems of inequalities to real-world scenarios, such as optimization problems
• Use test points to verify solutions

Designed for Algebra 1 and Algebra 2 students, this lesson aligns with Common Core standards and strengthens students’ ability to analyze mathematical models. Understanding systems of inequalities is essential for advanced algebra, economics, and optimization problems in higher-level math.

This is the final lesson in an eight-part unit on systems of equations and inequalities. By completing this unit, students will have a strong foundation in solving and applying systems of equations and inequalities in mathematical and real-world contexts.

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