Day 15 – Instantaneous Velocity of a Rolly Chair

In non AP Calc, we continued our quest toward the limit definition of the derivative by exploring the difference between average and instantaneous rates of change, and how we can use an average rate of change to estimate an instantaneous rate of change. We went outside and tried to measure the instantaneous velocity of a person on a rolly chair (per @thinkthankthunk and @wp202) only with two timers. Most students started by accidentally calculating an average velocity over a really wide interval, but figured out that they needed to make their estimate better and better by bringing the timers closer and closer. We are going to formalize this idea tomorrow in the limit definition of the derivative.

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