Name ______

Wheel of Theorodus

“What Inspirals You?”

Use the word bank as needed to answer the questions in complete sentences.

  1. What is an irrational number? How did the Wheel of Theodorus help you draw an irrational number?
  1. What pattern did you discover in the Wheel of Theodorus? Why do you think that pattern was created?
  1. Why do you think that finding this pattern was important to Theodorus? How is this pattern important to us in present day?
  1. Do you think your wheel accurately represents irrational numbers? Why or why not?
  1. Do you think there is a more accurate way to draw irrational numbers in present day? If so, how? If not, why not?

Wheel of Theorodus

“What Inspirals You?”

Criterion / Achievement Level / Level Descriptor
Investigating Patterns
IB Criterion B / 0 / You did not display the pattern in pictures or writing.
1-2 / You found the pattern of the wheel in pictures or writing. You did not attempt an explanation of the pattern.
3-4 / You found the pattern of the wheel in pictures and writing. You did not attempt an explanation of the pattern.
5-6 / You found the pattern of the wheel and accurately represented it in pictures and writing. You attempted an explanation of the pattern.
7-8 / You found the pattern of the wheel and accurately represented it in pictures and writing. You were able to provide a justified explanation of the pattern.
Reflection in Mathematics
IB Criterion D / 0 / You did not explain the importance of the wheel or justify the accuracy.
1-2 / You only attempted to explain the importance of the wheel in past and present day.
3-4 / You explain the importance of the wheel in past and present day. You attempted to justify the accuracy of your irrational numbers.
5-6 / You provide a detailed explanation of the importance of the wheel in past and present day. You justify the accuracy of your irrational numbers and suggest present day improvements.
Calculations / 0 / You did not show any calculations.
1 / Most calculations are competed and accurate or all calculations are completed with errors.
2 / All calculations are completed and accurate.
Presentation / 0 / Student did not use vocabulary, write in complete sentences, or make any attempt at creativity or neatness.
1-2 / Student shows a basic use of vocabulary and answers questions in complete sentences. Art design may lack creativity and/or work may be messy and hard to read.
3-4 / Student shows a good use of vocabulary usage in responses and answers all questions in thorough, complete sentences. Art design shows creativity and all work is neat and legible.

______x 5 = ______