This lesson addresses geometry standards such as:
Alaska Standard 7.G.6 Solve real life and mathematical problems involving angle measure, area, surface area, and volume and Alaska Standard 6.RP.1 Understand ratio concepts and use ratio reasoning to solve problems.
I also know that the physics behind force requires the use of calculus found in Alaska Standard F-1F.7. Analyze functions using different representations.
I found an article entitled: AP Calculus BC Project:The Dam Problem:Constructing a Dam across the River http://www.ms.uky.edu/~droyster/APCalculus/Dam%20Problem.pdf very helpful in identifying the higher level mathematics used in construction a dam.
I really like your project idea, Karen, and you're definitely correct, there's plenty of math in there as well as engineering and technology. What grade level are your students for this project? Is your project going to follow the outline of the AP Calculus project, but at a lower level? I think this could certainly work, but a little more clarity in your timeline and the standards specific to your grade level would be helpful.
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