5.2+Making+Tables+on+a+Calculator+10-11

M.F Math 7B October 8th, 2010

====Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns. ====

====Investigation 5 Essential Question: How can a graphing calculator help me discover relationships between different variables? ====

===//**Problem 5.2 **// Making Tables on a Calculator ===

Notes:

-Like a number machine, you put in a number and you get a different one out.

 * A) 1. Use your calculator to make a table for the equation y=3x. **

If //x//=5, then //y//=15
 * 2. Copy part of the calculator’s graph onto your paper. **
 * ====//X//==== || ====//Y//==== ||
 * ====0==== || ====0==== ||
 * ====1==== || ====3==== ||
 * ====2==== || ====6==== ||
 * ====3==== || ====9==== ||
 * ====4==== || ====12==== ||
 * ====5==== || ====15==== ||
 * ====6==== || ====18==== ||
 * 3. Use your table to find y if x=5. **


 * B) 1. Use your calculator to make a table for the equation y=3x. **


 * 2. Copy part of the calculator’s table onto your paper. **
 * ====//X//==== || ====//Y//==== ||
 * ====0==== || ====2==== ||
 * ====1==== || ====2.5==== ||
 * ====2==== || ====3==== ||
 * ====3==== || ====3.5==== ||
 * ====4==== || ====4==== ||
 * ====5==== || ====4.5==== ||
 * ====6==== || ====5==== ||
 * 3. Use your table to find y if x=5. **

If //x//=5, then //y//=4.5

 * //<span style="color: #1484f0; font-family: 'Comic Sans MS',cursive; font-size: 15pt;">Problem 5.2 // <span style="color: #e75b08; font-family: Verdana,Geneva,sans-serif; font-size: 15pt;">Follow Up **


 * <span style="color: #8412f8; font-family: 'Courier New',Courier,monospace; font-size: 14pt;">1. Use your calculator to make a graph for the equation y=3x. Describe the graph. **

The graph is pretty steep and diagonal.

 * <span style="color: #8cf425; font-family: 'Lucida Console',Monaco,monospace; font-size: 14pt;">2. Use your calculator to make a graph for the equation y=0.5x +2. Describe the graph. **

The graph is pretty flat, so it’s not very steep. In the third quadrant it starts at 2, goes through the first quadrant and ends in the second.

 * <span style="color: #ff0fc6; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14pt;">3. How do the graphs for questions 1 and 2 compare? **

The graph that shows //y//=3//x// is steeper while the graph that shows //y//=0.5//x// +2 is more flat.
<span style="color: #e75f50; font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 14pt;">4. ** How would you make a graph for the equations y=3x and y=0.5x +2 without a graphing calculator? **