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5.1 Analyzing the Wheel of Theodorus. Jennifer Birmingham Kristy Mann Kristy Nix Betty Trayvick. Problem of the Day. In your own words, describe the math you see in the seashell. The Wheel of Theodorus. The Wheel of Theodorus is named for its creator, Theodorus of Cyrene.

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5 1 analyzing the wheel of theodorus

5.1 Analyzing the Wheel of Theodorus

Jennifer Birmingham

Kristy Mann

Kristy Nix

Betty Trayvick

problem of the day

Problem of the Day

In your own words, describe the math you see in the seashell.

the wheel of theodorus
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.
slide4

Use the Pythagorean Theorem to find the length of each hypotenuse in the Wheel of Theodorus on Labsheet 5.1. Label each hypotenuse with its length. Use the square root symbol to express lengths that are not whole numbers.

slide5

Cut out the ruler from Labsheet 5.1. Measure each hypotenuse on the Wheel of Theodorus, and label the point on the ruler that represents its length.

slide6
Use your calculator to find the value of each square root, and compare the result to the approximations you found.
slide7

When Bob used his calculator to find √3, he got 1.732050808. Kim says that Bob’s answer must be wrong because when she multiplies 1.732050808 by 1.732050808, she gets 3.000000001. Why do these students disagree?