I busted out the motion detector again today in Calculus in a last minute experiment that proved to be really good. I put the screen on the velocity vs time graph and told them to walk so that the integral of the graph was positive. One kid did that and then we examined the number and used units to figure out what it meant. With that new information, I had students walk so that the integral was….
- Equal to 1
- Equal to 1 but moving with a slower velocity
- Equal to -4
- Equal to 0
- Equal to 1 even though you moved closer to the motion detector at some point
- Equal to -2 even though you moved further away from the motion detector at some point.
It was a great way to get them to begin to understand the idea of applications of integration.
Someone walking backwards and then forward…