Factor Solve and Check Quadratics

Use the numbered activities in order. The complete practice sheet is an alternative to the first three focused activities and is not repeated in this pack.
Keep the answer folder separate from student copies. Partner A and B cards contain complementary information; give each learner only their own card.

Learning goals:
- Use factoring to solve selected quadratic equations.

Before you begin:
Understand the words and representations introduced in the Explore activity.

Teaching steps:
1. Begin with: Factor x² - 7x + 12.
2. Connect the response to: Solve x² - 9 = 0.
3. Ask students to apply the idea: A rectangle has sides x and x + 1 and area 12. Find its positive side lengths.

Watch for: Accepting an answer without checking whether it uses the material and satisfies the requested relationship or criteria.

Activity order:
1. learn — quadratic-factor-and-check-learn
2. practice — quadratic-factor-and-check-practice
3. apply — quadratic-factor-and-check-apply

These activities provide evidence to discuss. Completion alone does not establish mastery.
Paper size and page numbers are preserved in each PDF. Use the matching Sheet ID when checking an answer key.
