Lesson Plan: Solving Quadratic Equations by Factoring

In this fourth lesson of the Quadratic Functions and Equations Unit, students will learn how to solve quadratic equations using factoring. Factoring is a fundamental algebraic technique that allows students to break down quadratic expressions into simpler binomial factors to find the equation’s solutions, or roots.

Students will:

• Understand when a quadratic equation can be solved by factoring
• Apply the zero-product property to find solutions
• Factor quadratic expressions using techniques such as greatest common factor (GCF), difference of squares, and trinomial factoring
• Practice solving quadratic equations by setting factors equal to zero
• Apply factoring techniques to solve real-world quadratic problems

Designed for Algebra 1 and Algebra 2 students, this lesson aligns with Common Core standards and strengthens problem-solving skills in quadratic equations. Mastering factoring prepares students for other solving methods such as completing the square and using the quadratic formula.

This is the fourth lesson in a ten-part unit on quadratic functions and equations. Future lessons will explore alternative methods for solving quadratic equations, including completing the square and the quadratic formula.

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