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Algebra I Lesson

Factor, Zero, Solve! Cracking Quadratics by Factoring

Shared by A STEM Educator

8th or 9th GradeThin-SlicingCCSS.MATH.CONTENT.HSA.REI.B.4b, CCSS.MATH.CONTENT.HSA.SSE.B.3a50 min
Learning Objective

Students will solve quadratic equations by factoring (GCF, trinomials with a=1, difference of squares) and applying the Zero Product Property to identify solutions.

Lesson Overview

Students progress from recognizing factor pairs to fully solving quadratic equations by factoring, using the Zero Product Property as the engine. Tasks change exactly one variable at a time, building from trinomials with leading coefficient 1 to those requiring GCF extraction and difference of squares.

Materials

  • Vertical whiteboards (VNPS) or large chart paper
  • Dry-erase markers (multiple colors)
  • Erasers or paper towels
  • Random grouping cards or app
  • Sticky notes for gallery walk annotations

Scaffolded Task Progression

1Task 1
The equation is already factored for you. Use the Zero Product Property to find both values of that make this equation true. Write your solutions as a solution set.
2Task 2
Solve: . Then verify BOTH solutions by substituting back into the original equation.

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