##
* *Reflection: Developing a Conceptual Understanding
Discovering and Proving Polygon Properties Unit Assessment - Section 1: Unit Assessment

I have posed students with this fill-in-the-blank problem before, however, a nagging thought would enter my brain: “if students write a correct term, are they simply guessing correctly? If students write a wrong term, what do they really know about the property at hand?” I always liked the spirit of the question, yet I felt I was not getting enough insight about students’ understanding about these properties.

This year, I decided to alter the problem, redesigning it so it required a sketch of the special quadrilateral and its featured property. What I saw was an increase in the number of correct answers (now justified with a well-labeled sketch!), and what I gained was a jumping off point for rich and powerful discussions with students. For example, there were times when students would have a correct sketch, but an incorrect term in the blank—this discrepancy gave the particular student the opportunity to discuss why this mismatch existed (perhaps a confusion around the symbols the student used?) and helped them realize the value of attending to precision and being metacognitive in their work.

*A Scaffold that Encourages Students to Show What They Know*

*Developing a Conceptual Understanding: A Scaffold that Encourages Students to Show What They Know*

# Discovering and Proving Polygon Properties Unit Assessment

Lesson 9 of 9

## Objective: Students will be able to solve problems and write proofs by applying their understanding of polygon properties.

## Big Idea: In this assessment, students take on a variety of questions--true/false, fill in the blank, problem solving, proof--to demonstrate their understanding of polygon properties.

*60 minutes*

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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