This three-lesson plan introduces students to the concept of functions, a fundamental aspect of high school mathematics. The focus will be on understanding what functions are, how to graph them and how they are applied in real-world situations. Starting with basic definitions and moving towards practical applications, the students will develop a comprehensive understanding of functions by the end of the third lesson.
This lesson provides a foundational understanding of functions in mathematics, crucial for solving problems that involve relationships between quantities. Students will explore how to define functions, differentiate between functions and non-functions, and determine the domain and range of given functions, preparing them for advanced studies in mathematics and sciences.
Lesson 2: Graphing Functions and Identifying Key Features
Overview
In this 50-minute lesson, students will explore the graphical representation of functions. They will learn how to identify and plot key characteristics such as intercepts, slope, and symmetry on a graph. The lesson will focus on both linear and non-linear functions to provide a comprehensive understanding of function graphs.
Lesson 3: Applying Functions in Real-World Contexts
Overview
In this lesson, students will explore the application of functions in solving real-world problems. They will learn to select and analyze appropriate function models to understand the relationships between varying quantities, building on their previous knowledge of functions and graphing.
