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1999-2000 EPoWs
Earthquake: 1 | 2 | 3 | 4
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Customizable EPoWs
Graph Zooming

Earthquake 1
posted February 1, 2000 as a Math Forum EPoW

Introduction: In the Earthquake problem series, students play the role of a scientist trying to determine the location of the epicenter of an earthquake.


Where's the Math: In this problem, students observe a simulation and interpret time, distance, and rate from a graph.

Standards: Algebra, measurement

Role of Components: The Earthquake problem series uses World to animate the motion of characters against the background image. Graph works with simple function to plot distance over time, which is controlled with simple clock and monitored with time label. Instructions are displayed and solutions are entered in a text entry box.

Try the applet!

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Sample submitted solution:

From: Lindsay and Alison
School: Issaquah Middle School, Issaquah, Washington

1. Explain the meaning of the red line, the purple line, and the horizontal and vertical axes on the graph.
The red line is the distance she travels. The vertical axes measures the miles she must travel to go home. The horizontal axes measures the time she takes to get home. The purple line is the rate she rides her bike.

2. Suppose that Sally's home is either 3, 7, or 10 miles from school. Move the slider and read the graph to find out how long it takes her to get home in each case. How do you know?
3 miles- The red and purple line intersect at 18 minutes so thats how long it takes her to get home. 7 miles- The red and purple line intersect at 43 minutes so thats how long it takes her to get home. 10 miles- The red and purple line intersect at 60 minutes so thats how long it takes her to get home.

3. (BONUS) Write an expression (a distance, rate, time function) that allows Sally to figure out how long it will take her to ride her bike from school to any home location. Explain how you came up with the expression.
d=r*t (distance=rate*time) The distance is "d" because it is any given distance. 3=r*.3 7=r*.716 10=r*1 The rate is 10 miles an hour because it takes her i hour to go 10 miles. The time is what we need to find out so it is "y." The new expression is y=d/10

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Reflections: Across the board, the students seem to have a few difficulties with this set of questions. The meaning of the purple line is not obvious to them, and they're often using the readouts of the time for question 2 instead of reading the graph. The term "expression" confused the students since what we were actually looking for was an "equation." For question 2, we want them to read the graph, but we provide them with a readout. Some of them realized that if you line the boxes up from Sally and the house, the readout is perfect. It's very difficult to motivate the kids who got the answer that way to tell us how to read the graph. Yet, that's what we're requiring them to do. As a modification to this problem in the future, I wouldn't provide the readout, and I'd make sure the graph can give them precise numbers so they can figure out the rate.

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