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Math IA Ideas - need help!!

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Hi, so i'm doing my math ia this year and i take aa sl.

i was thinking of maybe doing ballet with math as there are a range of topics related such as trig, diffrentiation, golden ratio, etc... however i'm unsure whether it is enough to secure a high grade or not as i'm not sure there is enough math. I could make it more complex by modeling a pirouette/turn but i'm unsure on the maths to do that and how to analyze it. 

Another idea i had was to maybe do something with diffrentiation or trig as those are my topics of interest but i am struggling to pinpoint a specific question.

Any ideas or thoughts would be helpful. Thanks

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