1. Curry’s Paradox Michael Fries Math 90 Dr. Peters

3.  **Show different view of the paradox, two triangles in one place..  **Perhaps a movie file?

4. How?  **slide in first triangle, then 2 nd distinguish slopes.

5. Proportions  Analyze the proportions of what we are dealling with  1x1 square, 2x5, 3x8, 5x13, re- arrange these quantities in a movie, to show them in the sequence  1,1,2,3,5,8,13.. What is this?

6. Areas  1: 8 x 3 = 24÷2= 12  2: 5 x 2 = 10÷2=5  3:**show units = 7 units  4:**show units = 8 units  Aggregate = 12 + 5 + 7 +8= 32  T= 13 X 5 = 65÷2 = 32.5  32.5-32=.5  Aggregate with hole = 12 +5 +7+8+1=33

7. Fibonacci Sequence  Fibonacci Sequence  1,1,2,3,5,8,13,21 etc..  The set of numbers where each successive number is derived as the sum of the two preceding numbers.

8. Cassini’s Identity  **These numbers correlate to the sequence, does the fact that these numbers are in the sequence provide a solution for why this happens?  Yes, through Cassini’s Identity.  F n+1 F n-1 - F n =(-1)ⁿ

9. Different Versions of Paradox  Show different interesting versions of the paradox.