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Learning Math Home
Patterns, Functions, and Algebra
 
Session 5 Part A Part B Part C Part D Part E Homework
 
Glossary
Algebra Site Map
Session 5 Materials:
Notes
Solutions
Video

Session 5, Part B:
Slope

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

Here are graphs of nine different lines. Look at the equation and the slope of each line. What changes when the slope becomes positive or negative, and when slope is larger or smaller than 1?

 

 
 

 

 

 

 

 

 

Problem B5

Solution  

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

slope


 

Problem B6

Solution  

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

slope


 

Problem B7

Solution  

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

graph a


Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
Is there anything about the graphs that makes comparison more difficult?   Close Tip


video thumbnail
 

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

Solution  

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

Solution  

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.

Next > Part B (Continued): Slopes and Architecture

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