Bobby Barber

Flipping

Today I am happy to welcome a guest blogger. Bobby Barber is a mathematics teacher at Millville Senior High School in Millville, NJ. In this and the next post he shares his experiences with Flipping his AP Calculus class. He asks that you reach out with questions, suggestions and stories of your own. Use the comment button at the…

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Practice Exams – A Modest Proposal

Starting in 2012 the College Board provided full actual AP Calculus exams, AB and BC, for teachers who had an audit on file to use with their students as practice exams. These included multiple-choice and free-response questions. However, the rules about using the exams are quite restrictive. I quote: AP Practice Exams are provided by…

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The Lagrange Highway

Recently, there was an interesting discussion on the AP Calculus Community discussion boards about the Lagrange error bound. You may link to it by clicking here. The replies by James L. Hartman and Daniel J. Teague were particularly enlightening and included files that you may download with the proof of Taylor’s Theorem (Hartman) and its…

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Soda Cans

A typical calculus optimization question asks you to find the dimensions of a cylindrical soda can with a fixed volume that has a minimum surface area (and therefore is cheaper to manufacture). Let r be the radius of the cylinder and h be its height. The volume, V, is constant and . The surface area…