Or the Wheel of Theodorus...

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Presentation transcript:

Or the Wheel of Theodorus... 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?

Pythagoras Spiral

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

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.

Examples

Examples

Rubric Outcomes: 1 2 3 4 Develops and applies appropriate and efficient strategies for computation. Models, represents and communicates mathematical ideas.