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
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
Word Bank
Pythagoras
Theodorus
Right triangle
Hypotenuse
Legs
Right angle
Irrational number
DUE THURS., FEB. 21