Challenging Students to Discover Pythagoras

Grade 8 / Math / Pythagoras
CCSS: Math.8.G.B.7

Common Core State Standards




Grade 8




Understand and apply the Pythagorean Theorem


Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Download Common Core State Standards (PDF 1.2 MB)

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9 minutes


Work on a challenging problem to discover the Pythagorean Theorem

Questions to Consider

  • What aspects of Mr. Ivy's practice most challenge your thinking about math instruction?
  • What strategies does the teacher use to prepare students for the challenge he poses?
  • How does the teacher guide students to discover (vs. memorize) the Pythagorean Theorem?

Common Core Standards


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Supporting Materials

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  • CMP Problem 3.1 and Student Work Cover Page.PDF

  • Teacher Commentary.PDF

  • Instructional Plan.PDF

  • CMP Teacher’s Guide: Problem 3.1 Cover Page.PDF

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