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Exploring Slope Created by Sara Wheeler

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Movie Clip Try to find as many examples of slope as you can in the following clip. Be prepared to share your ideas.

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Investigation 1. a.Graph y = x, y = 2x, and y = 3x on one coordinate plane. b.How does the graph of y = kx change as k, the coefficient of x, increases?

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Investigation (continued) 2.a. Graph y = x and y = -x on the same coordinate plane. b. How are the graphs of y = x and y= -x alike? Different?

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xy=xy=2xy=3xy=-x 0 1 2

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Slope Slope – the steepness of a line. Slope = rise = subtract the ys run subtract the xs

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Example 1 Find the slope of each line. a)

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b)

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Example 2 Find the slope of the line through C(-2, 6) and D(4, 3).

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Example 3 Find the slope of each line. a)

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b)

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Exploring Slope http://www.shodor.org/interactivate/activities/slopeslider/?version=1.5.0_09&browser=MSIE&vendor=Sun_Microsystems_Inchttp://www.shodor.org/interactivate/activities/slopeslider/?version=1.5.0_09&browser=MSIE&vendor=Sun_Microsystems_Inc.

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Warm up Problems 1. 2. 3.. After correcting the homework, we will be taking Derivative Quiz #2.

Warm up Problems 1. 2. 3.. After correcting the homework, we will be taking Derivative Quiz #2.

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