Final Project
#2 and #3

Part 1

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Part 2

I thought that Fibonacci Numbers and the Golden Ratio was my best write-up. In this write-up, I discussed the connection of Pascal's triangle, Fibonacci's sequence, and the Golden Ratio. I included links to the Excel spreadsheets used to discover the relationships. To close, using the Lucas Sequence (as well as a discussion of Lucas and Recursive Relations) Excel made it easy to see that the golden ratio existed in the ratios of terms


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Part 3

I chose the discussion of the centers of a triangle as the representative of my best work. In the dicsussion, I defined the centroid, orthocenter, circumcenter, and incenter. I also showed the location of the different centers for various shapes of triangles. For each center, I also gave a connecting link to the Geometer's Sketchpad Script. I felt that a discussion of the Nine-Point Circle and the Euler Line were most appropriate for closing out the idea of centers of a triangle.

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