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 Discussion: All Topics Topic: Understanding Distance, Speed, and Time Relationships Using Simulation Software Related Item: http://mathforum.org/mathtools/tool/13171/

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 Subject: RE: Understanding Distance, Speed, and Time Relationships Using Simulation Software Author: jahealy Date: Jun 21 2008
On Jan 29 2008, LFS wrote:
> 1.
> make a specific
> activity that we could look at that would work
> with the applet? That
> would be great.

How about using this tool with the two trains problem that many of us and our
students struggled with?

Remember the famous train problems we struggled with as students?

Two trains leave different cities heading toward each other at different
speeds.
When and where do they meet?
Train A, traveling 70 miles per hour (mph), leaves Westford heading toward
Eastford, 260 miles away. At the same time Train B, traveling 60 mph, leaves
Eastford heading toward Westford. When do the two trains meet? How far from each
city do they meet?

http://mathforum.org/dr.math/faq/faq.two.trains.html

This same type of problem can be adapted to work with the runner simulation.

Two runners leave from different entrances to the part heading toward each other
with different step sizes.  When and where do they meet?

The female runner, running with a step size of 7, leaves the west entrance of
the park hearing toward the east entrance 100 years away.  At the same time the
male runner, traveling with a step size of 6, leaves the east entrance heading
toward the west entrance.  When do the two runners meet?  How far from each
entrance do they meet?

I would further extend this problem by asking students to apply what they have
learned with the runners to the train problem then challenge them to write a
problem of their own with a solution that they can share with other teams.