Lesson Plan: Linear Functions and Applications

This is the fifth and final lesson in a five-part series on linear equations and inequalities designed for middle school students. In this lesson, students explore linear functions in-depth, learning how to represent them using equations, tables, and graphs. They will analyze key function properties, including slope, y-intercept, domain, and range, to develop a complete understanding of how linear functions behave.

The lesson focuses on real-world applications, demonstrating how linear functions are used in various fields such as finance, physics, and business. Students will solve problems involving rates of change, cost analysis, and motion, reinforcing the practical significance of linear functions. Through guided practice and hands-on activities, they will interpret linear relationships and predict outcomes using function models.

Additionally, students will compare linear functions to other types of functions, enhancing their ability to distinguish between linear and non-linear relationships. This lesson aligns with Common Core Standards 8.F.A.1 and 8.F.A.3, helping students strengthen their algebraic reasoning and problem-solving skills.

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