Solving Quadratics by Factoring: Free Response Review
A 20-question free-response practice set on solving quadratic equations by factoring, aimed at 9th graders and written at DOK levels 2 and 3. It builds fluency with the Zero Product Property and factoring trinomials, and asks students to justify their reasoning in multi-step written answers, with completing the square deliberately left out.
“Create a 20 question free response review on quadratic equations. Make them dok level 2 and 3 and free response. Do not include completing the square. Make them all free response.”
Teacher Guide & Tips
- Use this as a review after students have practiced factoring basics, as a 45-minute independent or partner block, or split across two shorter sessions.
- Discussion question: Why must the equation be set equal to zero before factoring, and what would go wrong if we factored without doing so?
- Scaffold for struggling readers: Have them complete the worked example's factoring steps aloud first, then use a factor-pair chart (products and sums) before attempting the DOK 3 items.
- Extension for advanced students: Ask them to create their own DOK 3 problem that requires explaining why a particular quadratic has no rational roots and what that implies about its graph.
- Estimated time: about 45 to 60 minutes to complete all 20 questions, with more time needed if students are writing full justifications.
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Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free“Create a 20 question free response review on quadratic equations. Make them dok level 2 and 3 and free response. Do not include completing the square. Make them all free response.”
Teacher Guide & Tips
- Use this as a review after students have practiced factoring basics, as a 45-minute independent or partner block, or split across two shorter sessions.
- Discussion question: Why must the equation be set equal to zero before factoring, and what would go wrong if we factored without doing so?
- Scaffold for struggling readers: Have them complete the worked example's factoring steps aloud first, then use a factor-pair chart (products and sums) before attempting the DOK 3 items.
- Extension for advanced students: Ask them to create their own DOK 3 problem that requires explaining why a particular quadratic has no rational roots and what that implies about its graph.
- Estimated time: about 45 to 60 minutes to complete all 20 questions, with more time needed if students are writing full justifications.
Solving Quadratics by Factoring: Free Response Review
A 20-question free-response practice set on solving quadratic equations by factoring, aimed at 9th graders and written at DOK levels 2 and 3. It builds fluency with the Zero Product Property and factoring trinomials, and asks students to justify their reasoning in multi-step written answers, with completing the square deliberately left out.
What is Diffit?
Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free