# CBL Laboratories for AP Calculus

##### created by Lari Garrison, Warren
Township High School 2/97

### Introduction

Most students in our AP Calculus have had physics, but they have trouble
understanding how distance and velocity are related. This unit will help
students explore these relationships as they are learning about the applications
of derivatives and rates of change.

This experiment was written to be used early in a first
year calculus course. It is designed to introduce students to the idea of
velocity as a rate of change.

**Day 2**

This experiment was designed to help students see the connection
between the velocity and distance functions. Students will be given a curve
and asked to try to walk in front of a motion detector sensor to produce
a distance versus time graph that matches the given graph.

**Day 3**

Students will do a quadratic regression to find a function
that represents the distance a student walks with respect to time. Students
will explore the velocity function and its relationship with the distance
funciton by using the TI-82/83's numerical derivative function.

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