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I've decided I really want SOMEONE to work this project and then get back to me with their version of the project and some feedback on how it went.
So, please feel free to steal this idea and run with it.
I could see it being done with students as young as 4th or 5th grade and I could see it being tweaked by the concepts of maximizing functions to a calculus class.
Have fun and here's the link to the Google Doc.