Discussion:  Understanding Distance, Speed, and Time Relationships Using Simulation Software tool 
Topic:  Does step size really equal speed? 
Related Item:  http://mathforum.org/mathtools/tool/13171/ 
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Subject:  RE: Does step size really equal speed? 
Author:  IHeng 
Date:  May 18 2007 
3 feet per second vs. 2 feet per second, etc. and work directly with that.
The tool is a little confusing in that way, by offering "step size" as a
parameter and yet graphing against time (hence the origin of this discussion
thread).
But I would point out that when you say, why not just talk about "slope"...that
approach may gloss over the obvioustousbutnottostudents fact
that the slope is the graphical representation of the speed (velocity,
actually). This is a fundamental understanding that students need but don't
always have.
So I would encourage talking initially about the speed (the prior knowledge
concept), and through use of the tool and other work, bringing students to the
idea that the speed/velocity shows up in the graph as slope.
 
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