P3. Write a paper or prepare an exhibit illustrating the Pythagorean theorem.

• http://www.cut-the-knot.com/pythagoras/
  http://www.mcn.net/~jimloy/pythag.html
  http://sunsite.ubc.ca/LivingMathematics/\/001N0/UBCExamples/Pythagoras /pythagoras.html
  http://jwilson.coe.uga.edu/EMT668/EMT668.Student.Folders/ HeadAngela/essay1/Pythagorean.html

P4. Consider a square as shown in the fugure below. What is the total length of the segments making up the stairs in each part of the figure? Look for a pattern to answer the question, does the number of stairs matter?

P5. Find an irrational number with the requested property.
    a. Between 1 and 3
    b. Between 0.53 and 0.54
    c. Between 1/11 and 1/10