4.1+Heading+Home+0910

9/22/09 KD  Big Idea:     Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

Essential Question: How can I use graphs, tables and symbols to solve problems? Notes: The radius is half of the diameter.

(miles) ||
 * A. Copy and complete the table and graph on the previous page to show the relationship between distance and time if the students traveled at the rate of **** 55 miles **** per hour. **
 * Time (hours) || Distance
 * 0 || 0 ||
 * 1 || 55 ||
 * 2 || 110 ||
 * 3 || 165 ||
 * 4 || 220 ||
 * 5 || 275 ||
 * 6 || 330 ||
 * 7 || 385 ||
 * 8 || 440 ||


 * B. Use your table and graph to estimate the total distance traveled after:**
 * 3 hours: **** 165 miles **
 * 4 ½ hours: About **** 245 miles **
 * 5 1/4 hours ****:** About 288.75 miles

15 hours: 825 miles
 * C.** If the students continued driving at a steady **55 miles** **per hour, how far would they go in:**
 * 10 hours: **** 550 miles **
 * 12 1/3 hours: **** 678 miles **
 * D. Look for patterns in the table and graph that help you calculate the distance traveled at any given time. Write a rule, using words, that explains how to calculate the distance traveled for any given time.**
 * The pattern is that you add 55 every time. Once it gets to 2 (or 4,6,8, etc) it becomes (for example with 2) **** 110 miles **** . The rule is that you multiply the distance (55miles) by the hour they have been traveling. **


 * E. Use symbols to write your rule from part D as an equation.**
 * Hrs x Spd = Dis **
 * Example: 8 X 55 = **** 440 miles **

**4.1 Follow Up**

a. Richmond, Virginia- about** **55 miles** **from Williamsburg b. Baltimore, Maryland- about 3/4 of the way from Williamsburg to Philadelphia c. Philadelphia, Pennsylvania- about** **310 miles** **from Williamsburg** A- It took them 1 hour B- It took them 41 minutes C- It took them 5 ¾ hours
 * 1. How could you find the distance traveled after 3 1/4 hours by using the table? The graph? The equation?**
 * In the equation you do 3.25 multiplied by 55 and you get the answer which is **** 178.75 miles **** . Then in the graph I would look between the two whole numbers and estimate what it would be. **
 * 2. Estimate how much time it took the students to reach each of the following cities on their route: