1. 5.1 Analyzing the Wheel of Theodorus
Jennifer Birmingham
Kristy Mann
Kristy Nix
Betty Trayvick

2. In your own words, describe the math you see in the seashell.
Problem of the Day
In your own words, describe the math you see in the seashell.

3. The Wheel of Theodorus
The Wheel of Theodorus is named for its creator, Theodorus of Cyrene.
Theodorus was a Pythagorean and one of Plato’s teachers.
It begins with a triangle with legs of length 1 and winds around counterclockwise.
Each triangle is drawn using the hypotenuse of the previous triangle as one leg and a segment of length 1 as the other leg.

4. Use the Pythagorean Theorem to find the length of each hypotenuse in the Wheel of Theodorus on Labsheet Label each hypotenuse with its length. Use the square root symbol to express lengths that are not whole numbers.

5. Cut out the ruler from Labsheet 5. 1
Cut out the ruler from Labsheet Measure each hypotenuse on the Wheel of Theodorus, and label the point on the ruler that represents its length.

6. Use your calculator to find the value of each square root, and compare the result to the approximations you found.

7. When Bob used his calculator to find √3, he got 1. 732050808
When Bob used his calculator to find √3, he got Kim says that Bob’s answer must be wrong because when she multiplies by , she gets Why do these students disagree?

8. Homework ACE p (#9-20)