Pythagorean Party

Karen Campe, Feb 16, 2023

Activities involving the Pythagorean Theorem Presented at the Florida GGB Conference 2023

Table of Contents

  1. Lab Activities
    1. Pythagorean Theorem
    2. Pythagorean Triples
    3. Converse Pythagorean Theorem
  2. A Little Help From My Friends
    1. Distance Formula Practice
    2. What is the Circle Equation?
    3. Proof Without Words
    4. Proof Without Words
    5. Proof Without Words
    6. Proof Without Words

1.

Lab Activities

  • 1. Pythagorean Theorem
  • 2. Pythagorean Triples
  • 3. Converse Pythagorean Theorem

1.1.

Pythagorean Theorem

Move points A, B or C to change the size of the right triangle.
[br]What do you notice about the side lengths and the squares when points A, B, or C move?[br][br]Explain why this diagram models the Pythagorean Theorem.
Record AREA data in this chart.
Lab Activity - Pythagorean Theorem
Construction Notes - Pythagorean Theorem
– Karen Campe

1.2.

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1.3.

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2.

A Little Help From My Friends

  • 1. Distance Formula Practice
  • 2. What is the Circle Equation?
  • 3. Proof Without Words
  • 4. Proof Without Words
  • 5. Proof Without Words
  • 6. Proof Without Words

2.1.

Distance Formula Practice

Check the checkboxes one at a time to see how the distance between points A and B is calculated. The distance formula is really just Pythagoras![br][br]Uncheck the "check my answer" box, move points A and B wherever you want, then calculate the distance between the new points A and B that you have chosen. When you're ready, compare your answer to GeoGebra's - good luck!
– Audrey McLaren

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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