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* *Reflection: High Expectations
Constructions Teaching Project: Day 3 of 3 - Section 1: Student Lessons

As I planned the Constructions Teaching Project this year, I thought some of the teaching topics could use some updating. In the past, some of the topics felt a little basic and in some cases, a little redundant, which is why I modified some of the teaching topics to reflect the changes I had been making to my curriculum up to this point. These changes included having students do more problem solving with angles (constructing 30, 45, and 75 degree angles, for example, and incorporating these angles in the construction of triangles and trapezoids), using a given segment as a diagonal of a rectangle to construct the rectangle (a throwback to the Tri-Mind task from the beginning of the unit, which asked students to work with special quadrilaterals), and transformations (one group taught about translations and reflections; another group taught about dilations and rotations).

As I watched my students teach their lessons, I realized that changing the teaching topics raised the level of rigor for many students and resulted in a student audience that seemed genuinely engaged and willing to ask big questions that reflected both a desire to understand what construction steps to perform, but mostly, why and how those steps revealed the conceptual ideas behind the construction. For example, students really pushed their “teachers,” getting them to re-explain how their construction of three parallel and congruent line segments allowed them to translate a given triangle, or whether or not constructing perpendiculars would truly be the only way to reflect a given figure across a given line of reflection.

*High Expectations: Rigor and Engagement*

# Constructions Teaching Project: Day 3 of 3

Lesson 10 of 11

## Objective: Students will be able to demonstrate and explain foundational constructions.

#### Student Lessons

*95 min*

Students teach their lessons today. All students take notes during the presentations and work on the practice problems the "teachers" have assigned them during each lesson. After this lesson, students will review these materials to study for their upcoming test.

*expand content*

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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: Introducing Constructions: Copy a Segment and Angle
- LESSON 2: Bisect Segments and Construct Perpendiculars
- LESSON 3: Tri-Mind: Perpendiculars and Squares
- LESSON 4: Bisect Angles
- LESSON 5: Construct Parallel Lines Through a Point Not on the Line
- LESSON 6: Use Constructions to Show Slope Criteria for Parallel and Perpendicular Lines
- LESSON 7: Construct Points of Concurrency
- LESSON 8: Constructions Teaching Project: Day 1 of 3
- LESSON 9: Constructions Teaching Project: Day 2 of 3
- LESSON 10: Constructions Teaching Project: Day 3 of 3
- LESSON 11: Constructions Unit Assessment