## Proof Menu Sample - Section 3: Four Corners Debrief

# Review: Polygon Properties

Lesson 8 of 9

## Objective: Students will be able to apply polygon properties while writing proofs.

#### Homework Review

*20 min*

To prepare for the unit assessment, we need to spend time reviewing the proof from the last lesson’s practice. I give students time to review the proofs in their groups, asking them to decide on the highest quality proof for each problem. I choose at least one student volunteer to display his/her work under the document camera to share their ideas and to receive feedback from the class (**MP3**). I make sure to give students’ time to revise their own proofs and make additional notes to themselves as they prepare to study.

#### Resources

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In this menu activity, students have the choice of working individually, in pairs, or in groups. They circulate the room, choosing from four different proofs, gluing the proofs into their workspace, where they will write out their proofs.

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#### Four Corners Debrief

*20 min*

At this point, students have spent quite a bit of time working on challenging proofs so I give them a chance to process the work they have done to get a sense of what they understand.

I want boost my students’ confidence in the content while helping them to elevate the quality of their, which is why I use a Four Corners structure to give them time to become “experts” on the proof. Each student will go to his/her respective corner to become an expert on a particular proof; after sharing, asking questions, and comparing different approaches, each student will return to his/her home group to present the work and to take questions and answers, which requires them to explain their ideas precisely (**MP3, MP6**).

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Since this is the last lesson before the unit assessment, I want to make sure students have time to do some individual work to make sure they can apply their understanding on their own to write their own proofs.

#### Resources

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- UNIT 1: Creating Classroom Culture to Develop the Math Practices
- UNIT 2: Introducing Geometry
- UNIT 3: Transformations
- UNIT 4: Discovering and Proving Angle Relationships
- UNIT 5: Constructions
- UNIT 6: Midterm Exam Review
- UNIT 7: Discovering and Proving Triangle Properties
- UNIT 8: Discovering and Proving Polygon Properties
- UNIT 9: Discovering and Proving Circles Properties
- UNIT 10: Geometric Measurement and Dimension
- UNIT 11: The Pythagorean Theorem
- UNIT 12: Triangle Similarity and Trigonometric Ratios
- UNIT 13: Final Exam Review

- LESSON 1: Review Angle Relationships to Begin Conjecturing About Polygons
- LESSON 2: Interior and Exterior Angle Sum of Polygons
- LESSON 3: Going Deeper with Interior and Exterior Angles
- LESSON 4: Focus on Justification: Interior and Exterior Angles
- LESSON 5: Kite & Trapezoid Properties and Midsegments of Triangles & Trapezoids
- LESSON 6: Properties of Parallelograms and Special Parallelograms
- LESSON 7: Proofs: Properties of Parallelograms
- LESSON 8: Review: Polygon Properties
- LESSON 9: Discovering and Proving Polygon Properties Unit Assessment