Review for Second Test
Multicultural Mathematics

Readings:  Chapter 7 handout:  p. 378-385
Course packet:  p. 237-241, p. 233-236, p.142, p. 242-3, p. 261-2, p. 271-2

Questions to review

Homework #2:  3, 6

Homework #3:  all questions

Sample Second Test (p. 390-394 in the course packet)

1, 7, 8, 9, 10

Essay Question:  you will have a choice of two--either #15 in Sample Test 2 (p. 394) or the last question (on infinity) in Homework #3.

Topics to review

  1. Addition and subtraction in bases other than base 10.
  2. Modulo
    1. How to recognize two numbers that are equivalent modulo some number
    2. Casting out 9s--its relationship to modulo 9, the vedic multiplication square, and its purpose
    3. Recognizing and creating modulo multiplication and addition tables.
  3. Rational numbers
    1. Definition of a rational number
    2. Converting fractions to decimals and vice versa
  4. Egyptian fractions
    1. Conversion to our system
    2. Using and creating 2/n and 3/n tables
  5. Irrational numbers
    1. Definition
    2. Recognizing irrational numbers
    3. Champernowne's constant
    4. Definition of the square root of 2 and pi
    5. Methods of estimating the square root of 2
      1. Empirical
      2. Geometric (area puzzle)
      3. Iterative
      4. Using infinite sums or products or continued fractions
      5. Comparing the Greek and Babylonian methods of approaching the square root of two