Day 98 – Why do we need Integrals?

We have been talking about Riemann Sums in my non AP class, and today I wanted to start the connection between Riemann Sums and the integral, and motivate the need for the integral. I showed them a video of my speedometer as I drove around a well known loop in one of our parking lots and then asked them to tell me how far I went based on the video. We talked for about 5 minutes about why it would be difficult, which was really all I wanted them to get from the video. It will provide a nice discussion piece when we are taking the number of partitions in a Riemann sum to infinity.

 

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