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Pythagorean Spiral

Pythagorean Spiral. Or the Wheel of Theodorus. Wheel of Theodorus. Theodorus was born about 100 years after Pythagoras. Theodorus used right triangles to create a spiral. Today the spiral is known as the Wheel of Theodorus. This is a Pythagorean Spiral. What pattern do you see?.

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Pythagorean Spiral

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  1. Pythagorean Spiral Or the Wheel of Theodorus...

  2. Wheel of Theodorus Theodorus was born about 100 years after Pythagoras. Theodorus used right triangles to create a spiral. Today the spiral is known as the Wheel of Theodorus.

  3. This is a Pythagorean Spiral • What pattern do you see?

  4. Pythagoras Spiral

  5. Our Pythagorean Spiral Project • You will create your own Pythagorean Spiral • Instructions on the next slide • Then turn it into art!  • All work must be shown on the back • Outcomes 4 & 5

  6. Instructions for Pythagoras Spiral • Find the center point on your paper (can use any size paper) • From that point draw a line that is 2, 3 or 4 cm to the right (only choose 1 of those lengths) • Create a 90 degree angle from that line going to the top of the page that is the same length (2, 3 or 4 cm) • Draw your hypotenuse (connect the lines) • On the back of your paper, show your calculations solving for your hypotenuse.  • Now create another triangle using the hypothenuse of the first leg as a leg of the second.  • Draw a line at 90 degrees angle again the SAME length as the first (2, 3 or 4 cm!!!)  • Show your work on the back.  • Draw another triangle. • Continue until you have 15 right triangles total. 

  7. Examples

  8. Examples

  9. Rubric

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