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Math in Action

Pythagoras Square Proof

Prove Pythagoras theorem by cutting and rearranging squares!

Duration35 min
Age GroupAges 12–14
DifficultyIntermediate
SubjectMath
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Concept

What this lesson teaches

Pythagorean theorem.

Materials

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    Steps

    How the activity runs

      Why It Works

      The learning connection

      A visual, dissection proof of Pythagoras's theorem creates understanding of WHY the theorem is true — not just that it is. Students who understand the proof are significantly more flexible in applying the theorem to non-standard right-triangle situations.

      Extend the Lesson

      Try it with your learner

      1. Draw right triangle. 2. Draw square on each side. 3. Cut squares. 4. Show a2+b2=c2.

      Math in Action35 minAges 12–14Grade 6–8Sign in to save this activity
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