2.3+Day+3+Lewes+to+Chincoteague+0910



08/28/09 Wouter Lindeboom Math 7B Big idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

INV 2 Essential Question: What are some situations that we can describe as variable?

**2.3A**.**Would it make sense to connect the points on the graph? Explain.** Yes, distance and time are both continuous variables. If you draw a line you can better see the distance at any point in time, so also between the points on the graph.

From hours 1.5 to 2 the road might have bended back like a part of a circle, so the distance from Lewes would stay the same or they might have stopped to rest for half an hour. From hours 2 to 4, during the first half hour they made regular progress, then in the second half hour moved back and so they got closer to Lewes. After that they made regular progress again for the next hour.
 * B. Make a table of (time, distance) data from the information in the graph. **
 * Distance from Lewes ||
 * Time || Distance ||
 * (in hours) || (in miles) ||
 * 0.0 || 0 ||
 * 0.5 || 8 ||
 * 1.0 || 13 ||
 * 1.5 || 22 ||
 * 2.0 || 22 ||
 * 2.5 || 30 ||
 * 3.0 || 22 ||
 * 3.5 || 31 ||
 * 4.0 || 37 ||
 * 4.5 || 49 ||
 * 5.0 || 49 ||
 * 5.5 || 57 ||
 * 6.0 || 63 ||
 * 6.5 || 72 ||
 * 7.0 || 74 ||
 * 7.5 || 81 ||
 * C. What do you think happened between hours 2 and 4? Between hours 1.5 and 2? **

A graph helps me see the changes over time better, because I see the direction of the progress and also the difference between the points.
 * D. Which method of displaying the (time, distance) data helps you see the changes better, a table or a graph? Explain your choice. **

= Follow-up = The total distance the riders travelled was 99 miles. The total distance they are away from Lewes is 81 miles, but they went back 9 miles and had to gain those 9 miles again so if you add it all up you get 99 miles.
 * Use the graph to determine the total distance the rider travelled on day 3. explain how you determined your answer. **