5.1+Analyzing+the+Wheel+of+Theodorus

November 9, 2008 YMJ Notes:
 * Big Idea:** The dimensions of a right triangle can be determined with limited information.  **Essential Question:** What's "irrational" about irrational numbers?


 * Problem 5.1 Analyzing the Wheel of Theodorus**

A. The hypotenuse of the wheel of Theodorus 1, the square root of 2, the square root of 3, the square root of 4, the square root of 5, the square root of 6, the square root of 7, the square root of 8, the square root of 9, the square root of 10, the square root of11.

B. On the ruler the square root of 2= 1.41 the square root of 3= 1.73 the square root of 4= 2 the square root of 5= 2.23 the square root of 6= 2.44 the square root of 7= 2.64 the square root of 8= 2.82 the square root of 9= 3 the square root of 10= 3.16 the square root of 11= 3.31

C. The whole number the square root of 2= 1 the square root of 3= 2 the square root of 4= 2 the square root of 5= 2 the square root of 6= 2 the square root of 7= 3 the square root of 8= 3 the square root of 9= 3 the square root of 10= 3 the square root of 11= 3

D.


 * Problem 5.1 Follow-up

1.

2. When they multiply 1.732050808 *1.732050808 and they got 3.000000001. 3.000000001 and 3 are almost same thing so the square root of 3 is 1.732050808.**