Wednesday, November 18, 2009

Fourier Transforms

This is an interesting tool I plan on using when introducing trigonometry next semester in Principles of Math 10. Make sure to turn up your speakers so that you can hear the resultant frequency, which keeps the "pure tone" sound no matter what changes are made.

http://www.mindspring.com/~j.blackstone/dist101.htm

I figure that I'll let the kids play around with this program for 10min, then when I have their curiosity peaked, I'll discuss what we are actually seeing, and how sine waves appear in nature, such as earthquakes: http://www.classzone.com/books/earth_science/terc/content/visualizations/es1002/es1002page01.cfm?chapter_no=visualization .

Then I'll discuss how sine waves appear in mathematics: http://www.youtube.com/watch?v=HFOPb7Ub1e8

I figure this'll be better than when I learned it as a kid, where I never saw an application until Physics 12. ^_^

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