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Wheel of Theodorus

Dive into the world of Theodorus of Cyrene by drawing his famous Wheel of Theodorus. Learn about right triangles, Pythagorean Theorem, and irrational numbers through this creative math activity that turns calculations into art. Discover the beauty of patterns in mathematics as you construct the Wheel of Theodorus and reflect on your learning journey. This project combines historical context with hands-on learning, challenging you to think critically and artistically about geometry and algebra. Showcase your work with pictures, calculations, and insightful reflections for a comprehensive exploration of Pythagoras, Theodorus, and the mathematical concepts behind this unique creation.

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Wheel of Theodorus

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  1. Wheel of Theodorus What inspirals you?

  2. How do you draw an irrational number? • Who is Theodorus of Cyrene? • Drawing the Wheel of Theodorus • Math into Art • What can we learn from the Wheel of Theodorus?

  3. THE WHEEL OF THEODORUS SUPPLIES • Blank white paper • Pencil • Ruler • Notecard STEP ONE: On the corner of your notecard, measure one inch on each side.

  4. THE WHEEL OF THEODORUS STEP TWO: Place the notecard in the CENTER of your white paper. Trace the corner of your paper so you create a right angle.

  5. THE WHEEL OF THEODORUS STEP THREE: Use your note card as a straight edge and close off your right angle by drawing the hypotenuse.

  6. THE WHEEL OF THEODORUS STEP FOUR: Now find the length of the hypotenuse using the Pythagorean Theorem. Make sure to show your work on a separate sheet of paper.

  7. THE WHEEL OF THEODORUS STEP FIVE: Line up your note card along the hypotenuse. Trace only the bottom of the note card to create another right angle.

  8. THE WHEEL OF THEODORUS STEP SIX: Draw in the hypotenuse. You are on your way to drawing the Wheel of Theodorus.

  9. THE WHEEL OF THEODORUS FINISHING THE WHEEL: Continue making right triangles until you have AT LEAST ten. For each of these ten triangles make sure that you continue to show your work for finding each new hypotenuse. You may make more triangles, but you only need calculations for the first ten.

  10. Math into Art

  11. Learning from the Wheel Word Bank Pythagoras Theodorus Right triangle Hypotenuse Legs Right angle Irrational number • Answer the questions about Pythagoras, Theodorus, and the Wheel you constructed • Include picture, calculations • Graded on: • IB Rubric B – Investigating Patterns • IB Rubric D – Reflection in Mathematics • Presentation • Calculations DUE THURS., FEB. 21

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