Organized Chaos

This unit has changed the way I view nature in many ways. Before this unit, I always thought of nature as being completely random and unpredictable. However, I now know that that is not completely true. Everything around us, in nature, has some kind of math behind it, and usually it has to do with fractals. During the organized chaos unit, we wrote a blog about what we were learning (found here), and then created an art piece that demonstrated each of our own understanding of  what we believed a fractal was. For my art piece, I created a painting of a tree with roots, that continued to branch off in threes from the trunk. So, the first time, the trunk branched off into three branches, and then those branches each branched off into three additional, smaller branches. This process continued until I filled up my canvas, and the branches were really small. I did have some trouble with painting the white part of the tree on top of the black background, so in order to have a final product I took what I had and photoshopped it into one complete image that represented, my understanding of a fractal.

Math Content

Arithmetic and Geometric Sequences and Series, Recursive Sequences, the Fibonacci Sequence, the Golden Ratio, the Sierpinski Triangle, Pascal’s Triangle, Infinity, and Fractals

Looking Back…

I think that this unit was very easy to understand because the math was very organized and we related the key ideas to the world around us to figure out why they are important, to help us remember what we have learned, and to possibly see the world in a different way. I liked how the math seemed to start out easy with the arithmetic sequences, than went to the harder geometric sequences, and then onto arithmetic, geometric and infinite geometric series. I feel that I have learned a lot about how math plays a role in nature and the world around us.

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