The Golden Triangle (36°, 72°, 72°) & Spiral/Chapter 7
Start with the pentagon ABCDE and flip it horizontally to get the pentagon below.
Then extend two sides and a diagonal of the pentagon to make the big golden triangle.
Notice that the centers of the arcs are always at the vertex of a 108o angle.
Geoffrey graphs the ratios of the Fibonacci numbers and writes a program to get the infinite sequence which has a limit.
Tara writes a story "A Quest For The Sacred Golden Pineapple, Pine Cone and Artichoke"
Jamie an 8th grader, solved the quadratic equation x2 - x - 1 = 0, by iteration, and he and Don wrote a program to do this on a TI-84 Plus.
Comparing the spirals of fibonacci numbers, the Nautilus shell, and The equal-tempered Musical scale