Lesson Plan: Solving Quadratic Equations Using the Quadratic Formula

In this fifth lesson of the Quadratic Functions and Equations Unit, students will learn how to solve quadratic equations using the quadratic formula. The quadratic formula provides a reliable method for finding the roots of any quadratic equation, even when factoring or completing the square is not practical.

Students will:

• Understand the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
• Identify the coefficients a, b, and c in a quadratic equation
• Use the discriminant (b² - 4ac) to determine the number and type of solutions
• Apply the quadratic formula to solve quadratic equations step by step
• Use the quadratic formula to solve real-world problems involving quadratics

Designed for Algebra 1 and Algebra 2 students, this lesson aligns with Common Core standards and reinforces students' problem-solving skills. Mastering the quadratic formula is crucial for solving complex quadratic equations and understanding their applications.

This is the fifth lesson in a ten-part unit on quadratic functions and equations. Future lessons will explore the discriminant in more detail and analyze the different types of quadratic solutions.

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