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This webquest will be a discovery of a major theorem that is fundemental to analytical and euclidean geometry.

Below is a list of websites you will use in deciding what proof of the pythagorean theorem is grounded in algebra. Then you will decide if the proof is the elegant.


Essay 1

In order to decide what proof of the pythagorean theorem is grounded in algebra you must answer the below questions.
  • Does the proof have a series of algebraic expressions that lead to the expression of the form a²+b²=c²?
  • If so what are the expressions that lead to the expression a²+b²=c²?
  • Does each step of the proof follow from the previous?Why or Why not?
  • In conclusion, do you feel the proof made sense?What did/didn't make sense?
You will write this argument in a one page essay.

Essay 2

Then you will argue whether or not the proof you found is elegant by following these guidelines for what constitutes an elegant proof.
  • The two most important things a proof must possess are clarity and backup.
  • Each proposition is backed up by a theorem, axiom, or definition
  • If algebra is being used, no steps must be skipped.
  • Most importantly, a quality of neatness and ingenious simplicity in the solution of the proof must be present.
You will write this argument in a one page essay.
+ Satisfied the criteria
- Something contributed but irrelevant.
Ø nothing contributed

    Essay 1

  • + - Ø
    Does the proof have a series of algebraic expressions that lead to the expression of the form a²+b²=c²?
  • + - Ø
    If so what are the expressions that lead to the expression a²+b²=c²?
  • + - Ø
    Does each step of the proof follow from the previous?Why or Why not?
  • + - Ø
    In conclusion, do you feel the proof made sense?What did/didn't make sense?

    Essay 2

  • + - Ø
    The two most important things a proof must possess are clarity and backup.
  • + - Ø
    Each proposition is backed up by a theorem, axiom, or definition
  • + - Ø
    If algebra is being used, no steps must be skipped.
  • + - Ø
    Most importantly, a quality of neatness and ingenious simplicity in the solution of the proof must be present.

WebQuest developed by Dominic Verderaime and Travis Porter
Page Design by D.Verderaime
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