The Nature of Mathematics, 12th Edition
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Chapter 5
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Chapter 12
Chapter 13
Chapter 14
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Chapter 5 Projects

Section 5.5 Individual Research

Individual Research Project 5.8

Individual Research Project 5.9

Prove that the positive square root of 2 is not rational.

Individual Research Project 5.10

Historical Quest  Write a paper or prepare an exhibit illustrating the Pythagorean theorem. Here are some questions you might consider:
What is the history of the Pythagorean theorem?
What are some unusual proofs of the Pythagorean theorem?
What are some of the unusual relationships that exist among Pythagorean numbers?
What models can be made to visualize the Pythagorean theorem?