Folding Sculptures: A Focus on Surface Area and Scale Drawings

Middle School Math

Proportional Relationships and Slope

Functional Relationships and Tosses

Examine each graph and its corresponding scenario. Think about how the path of the ball in each graph illustrates the scenario.

Next, go to the following page and click the Play button to begin the interactive.
A straight line drawn on a graph with points at negative 1, 0 and 3,3 and 7,6 and 11,9. To find the slope of a line, just count the rise and the run from one point on the line to another. It doesn’t matter which points on the line you pick. Because the line is straight, you will always pick points that are on the hypotenuses of similar triangles
A straight line drawn on a graph with points at negative 1, 0 and 3,3 and 7,6, and 11,9. The slope of the line is indicated by lines drawn to show a rise of plus 3 and a run of plus 4.

The slope of the line is:

slope equals rise over run, equals three over four

A straight line drawn on a graph with points at negative 1, 0 and 3, 3 and 7,6, and 11,9. The slope of the line is indicated by lines drawn to show a rise of plus 3 and a run of plus 4. The slope is also indicated by lines drawn to show a rise of plus 9 and a run of plus 12.

Even counting at a different location, the slope does not change.

slope equals rise over run, equals nine over twelve, equals three over four

This is because the two triangles are similar.

Now go to the next page and click the Play button to begin the interactive.


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