An Intro to Work (in a Calculus course)

I’m trying out this WorkLesson today. In the past, I’ve just demonstrated the example at the board, of a leaky bucket being pulled upward a certain distance.

The goal of this is to develop the integral of F(x)dx as an analog to motion integrals, like integral of a(t)dt, and to develop it in connection with Riemann Sums (my kids have a tough time with those), and to pull away the differing context to show the identical structure of the two integrals.

I’ll record some thoughts here after the lessons, and the homework is checked tomorrow.


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