## Similarity Pre-Assessment - Section 2: Homework

# Pythagorean Theorem Unit Assessment

Lesson 6 of 6

## Objective: Students will be able to show their understanding of the Pythagorean Theorem and its applications by solving problems differentiated by level.

Like other unit assessments, the Pythagorean Theorem Test has been broken down into two parts: Foundations and Application/Extension. In the foundations section, students work through several problems that target basic understanding of the Pythagorean Theorem, the distance formula, and special right triangles. In the application and extension part of the test, students apply their understanding of the Pythagorean Theorem in novel or more complicated ways (**MP1**). For example, problem #9 is a problem that really requires students to look for and make sense of structure by adding an auxiliary line while problem #11 demands that students integrate several geometric conventions in order to solve the problem (**MP7**).

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#### Homework

*5 min*

This homework assignment is really a pre-assessment for the upcoming unit on triangle similarity and trigonometry. Similarity is an idea we have talked about throughout the year, but not in formal terms. For that reason, I wanted to create an opportunity for students to use their own language to describe how they know a figure is an exception to a given set by discussing commonalities and differences in what they observe.

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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: The Pythagorean Theorem
- LESSON 2: Converse of the Pythagorean Theorem and Special Right Triangles Investigation
- LESSON 3: Pythagorean Triples and Special Right Triangles
- LESSON 4: Distance in Geometry
- LESSON 5: The Pythagorean Theorem in Circles
- LESSON 6: Pythagorean Theorem Unit Assessment