Pythagorean Theorem and Converse

This Pythagorean Theorem and Converse handout & reference also includes:

You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second in a series of nine lessons.

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CCSS: Designed
Instructional Ideas

  • Begin the lesson with an opener that provides learners with the lengths of the sides of several right triangles; ask them to determine the pattern in the numbers
Classroom Considerations

  • Must have Internet access to viewing the video 
  • Review of squares and square roots may be necessary prior to the lesson
  • The second in a series of nine lessons
Pros

  • Practice problems include higher-level thinking questions and problem solving
  • Provides an answer key
Cons

  • When applying the Pythagorean Theorem converse, only Pythagorean triples are used for the right triangles, which is misleading
Common Core