Reflection: Grappling with Complexity Parallel Lines Intersected by a Transversal - Section 3: Activity

 

Writing proofs independently is still new to the students. I found that they had difficulty figuring out where to start and seeing the relationships between the angles in the diagram. This made them frustrated. After a few minutes of attempting the proof in question 1 independently, I instructed the students to extend the lines of the inscribed triangle. This helped them see the alternate interior and corresponding angles. Once they were able to see these relationships, they didn't need more help from me. They were able to see how to proceed on their own. The students felt a sense of accomplishment by completing this proof since they persevered and solved it on with little intervention from me.

  Productive Struggle
  Grappling with Complexity: Productive Struggle
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Parallel Lines Intersected by a Transversal

Unit 6: Introduction to Geometric Proofs
Lesson 8 of 10

Objective: SWBAT write simple formal proofs about angles formed by two parallel lines intersected by a transversal.

Big Idea: Students will build on prior knowledge about the relationships between angles and parallel lines to write formal proofs.

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9 teachers like this lesson
Subject(s):
Math, Geometry, Proofs, Proof of Parallel Lines, logic
  45 minutes
parallel lines student work resized for lesson image
 
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