Reflection: Connection to Prior Knowledge The Pythagorean Theorem in Circles - Section 2: Pair Classwork and Reflection


This assignment features challenging problems that integrate the current content—the Pythagorean Theorem—with content students had explored in the past: area, perimeter, properties of isosceles triangles, properties of circles.  I explicitly told students they would have to apply the Pythagorean Theorem in problems that united several geometric ideas, which helped them to anticipate some of the challenges they would face. 

One change I made this year was to ask students to formally reflect after they finished working through these problems.  I asked them to identify two or three problems they found difficult, to specifically explain why the problems were challenging, and to write about a strategy or tool they used to work through each problem.  My goal in asking them to reflect on their work and their feelings about their work was to empower them to see that through their effective effort and persistence, they were able to make sense of difficult problems.

  Tricky Triangles!
  Connection to Prior Knowledge: Tricky Triangles!
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The Pythagorean Theorem in Circles

Unit 11: The Pythagorean Theorem
Lesson 5 of 6

Objective: Students will be able to solve problems involving properties of circles, the Pythagorean Theorem, special right triangles, and area.

Big Idea: By working in pairs, students will work through and reflect on a variety of problems that require them to synthesize several geometry topics.

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  75 minutes
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