Session 5, Part B:
Slope

In This Part: Thinking About Slope | Comparing Slopes | Slopes and Architecture

In the following Interactive Activity, you will control the slope of lines passing through the origin (0, 0). Keep track of what changes when the slope becomes positive or negative, and when slope is larger or smaller than 1.

This activity requires the Flash plug-in, which you can download for free from Macromedia's Web site. If you prefer, you can view the low-tech version of this acivity, which doesn't require the Flash plug-in.

Problem B5

Consider this line. What are the coordinates of the points R and S?

 Problem B6 Find the slope of the line through points R and S.

 Problem B7 Many people describe "slope" as a measure of the "steepness" of a line. Look at the two graphs below. Which line has larger slope? Which line appears to be steeper? Explain what is happening. Note 9

 Is there anything about the graphs that makes comparison more difficult?   Close Tip

 Video Segment In this video segment, the onscreen participants discuss methods of comparing the slope of two lines. Watch this segment after you have completed Problem B7 and compare your methods of comparison with those of the onscreen participants. If two graphs are drawn with the same scale, is it true that the graph that appears steeper has the larger slope? You can find this segment on the session video, approximately 11 minutes and 32 seconds after the Annenberg Media logo.

 Do the following problems on graph paper:

 Problem B8 On one graph, create three different lines with slope 2. Describe what is the same and what is different about these graphs. Note 10

 Problem B9 On one graph, create three different lines with negative slope. Describe what is the same and what is different about these graphs.

 Problems B5 and B6 taken from IMPACT Mathematics Course 3, developed by Education Development Center, Inc. (New York: Glencoe/McGraw-Hill, 2000), p. 27. www.glencoe.com/sec/math
 Session 5: Index | Notes | Solutions | Video