1.2+Drawing+Graph+Models+0910

Arfan Shayer


 * Big Idea:** Many real world situations can be modeled and predicted using mathematics.
 * Essential Questions:** What kind of relationships make straight line graphs?
 * Notes from Class:** None


 * __1.2 Drawing Graph Models __**
 * A. Draw a straight line that seems to fit the pattern in the (thickness, breaking weight) data you** graphed in Problem 1.1.



**B. Based on your graph model, what breaking weights would you predict for bridges 6 and 7** **layers thick?**

On my graph model, the pennies go up by about ten every time a layer gets added so for 6 layers I would predict 60 pennies and for 7 layers I would predict 70 pennies.


 * C. Suppose you could use half-layers of paper to build the bridges. What breaking weights** **would you predict for bridges 2.5 and 3.5 layers thick?**

On my graph model, the pennies go up by about ten every time a layer gets added so for a half layer the pennies should go up by five. For 2.5 layers I predicted 25 pennies and for 3.5 layers I predicted 35 pennies. I am basically multiplying 2.3 and 3.5 by ten.

//**__ Problem 1.2 Follow up __**// **1. It is unlikely that your (thickness, breaking weight) data fit a linear pattern exactly. There are 2** **students who attempt to draw lines to model their group’s data.** **1**a**//.//** Which graph model would allow the students to make better predictions about breaking weights for bridges of different thickness? Why?

I think the first graph would allow students to make better predictions of breaking weights because the line hits through three dots while the second graph’s line hits through 1 dot.


 * 1**b. Do you have any suggestions for how the students could change the graph model you chose in part a to help them make even better predictions?

I only have one suggestion. They should make the y-axis (pennies) with intervals of 5 so the graph can be more spread out and become easier to read.


 * 2. For each graph on Lab sheet 1.2, try to find a graph model that fits the experimental data as closely ** as possible. Compare your graph models with those drawn by others in your group. What strategies did you use to help you draw an appropriate graph model?
 * The strategy I used was that I tried to find the line or curve that connected most of the dots. ** There was no line or curve for C and I.