This series of lessons is designed to introduce grade 10 students to quadratic functions, covering essential concepts from definition to graphing, and finally, solving quadratic equations. Through these lessons, students will develop a foundational understanding of quadratic equations and their applications.
Lesson 1: Lesson 1: Introduction to Quadratic Functions
Overview
In this lesson, students will be introduced to quadratic functions, learning about their standard form and properties, such as the vertex, axis of symmetry, and the roots. They will understand the differences between linear and quadratic functions and how quadratic functions can model real-world scenarios. This lesson will lay the foundation for more complex algebraic operations involving quadratics in future classes.
Lesson 2: Lesson 2: Graphing Quadratic Equations
Overview
This lesson focuses on graphing quadratic equations and understanding the essential components of the graph such as the vertex, axis of symmetry, and direction of opening. Students will learn to apply these concepts to interpret and analyze quadratic functions effectively.
Lesson 3: Lesson 3: Solving Quadratic Equations
Overview
In this lesson, students will explore and understand three primary methods for solving quadratic equations: factoring, completing the square, and using the quadratic formula. Through step-by-step instruction and practice problems, students will learn when and how to apply each method effectively.
