Students will use a CBL/CBR and a TI-83 Plus graphing calculator to construct the 'height versus time' graph of a ball as it bounces.  Using this 'height versus time' graph, they will sketch graphs of the first derivative (velocity versus time) and the second derivative (acceleration versus time) and compare their sketches to the graphs of 'velocity versus time' and 'acceleration versus time' shown on the calculator.  (This lesson can be adapted for use with other TI graphing calculator models.)   

Mathematics:  graph-sketching, first and second derivatives, x-intercepts, local extrema, intervals of increasing and decreasing, intervals of concave up and concave down.

Mathematics Thinking:  analyze graphs, predict, and compare.

Technology: TI-83 graphing calculator and CBL/CBR.

Below is a screen shot the TI-83 graphing calculator's 'height versus time' graph of a bouncing ball.

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