Lesson Plan: Quadratic Relations: General Form of the Equation of a Parabola

In this ninth lesson of the Quadratic Functions and Equations Unit, students will explore the general form of the equation of a parabola. This lesson focuses on understanding quadratic relations and how they define the shape, position, and orientation of parabolas.

Students will:

• Understand the general form of a quadratic equation: Ax² + Bxy + Cy² + Dx + Ey + F = 0
• Analyze how the coefficients affect the graph of a quadratic relation
• Convert between the general form and other forms of quadratic equations
• Explore how quadratic relations extend beyond basic functions
• Apply their knowledge to graph and interpret quadratic relations

Designed for Algebra 2 and Pre-Calculus students, this lesson aligns with Common Core standards and deepens understanding of parabolas in a broader mathematical context. Mastering the general form of a quadratic equation is essential for advanced algebra and conic sections.

This is the ninth lesson in a ten-part unit on quadratic functions and equations. The final lesson will focus on summarizing key quadratic concepts and their applications.

Subscribers to Media4Math can download these lesson plans in PDF format for easy classroom use.