1. Time-Distance Relationships Explore time-distance relationship Write walking instructions or act out walks for a given graph Sketch graphs based on given walking instructions or table data Use an electronic device, motion sensor, and graphing calculator to collect and graph data

2. The time-distance graphs below provide a lot of information about the walks they picture. Because the lines are straight and increasing means that both walkers are moving away from the motion sensor at a steady rate. The first walker starts 0.5 meters from the sensor, whereas the second walker starts 1 meter from the sensor. The first graph pictures a walker moving 4.5-0.5 4 meters in 4-0 =4 seconds or 1 meter per second. The second walker covers 3-1=2 meters in 4-0=4 seconds or 0.5 meter per second. In the next investigation you will analyze time-distance graphs and create your own graphs.

3. Walk the Line Page 172 Materials Needed 4 meter measuring tape or 4 meter sticks per group a CBR A stop watch that show seconds

4. Walk the Line Complete step 1 by studying the three graphs presented on page 172. Write out directions for each graph. Complete steps 2 and 3. Be ready to present your solution to these questions.

5. Obtain a CBR (motion detector) to use with your graphing calculator to complete Steps 4 and 5. Be ready to discuss the results of your investigation.

6. Example Using the ideas you develop from the motion sensor technology think about these ideas: Graph a walk from the set of instructions “Start at the 0.5 meter mark and walk at a steady 0.25 meter per second for 6 seconds.

7. Write a set of walking instructions based on the table data, and then sketch a graph of the walk. Time (s)0123456 Distance (m) 4.03.66.22.82.42.01.6

8. Example Study the graph in example B on page 174 and write a set of walking directions for this graph.