Illuminations: Understanding Distance, Speed, and Time Relationships

Understanding Distance, Speed, and Time Relationships


This unit includes a software simulation of two runners along a track. Students can control the speeds and starting points of the runners, watch the race, and examine a graph of the time-versus-distance relationship.

The computer simulation uses a context familiar to students, and the technology allows them to analyze the relationships more deeply because of the ease of manipulating the environment and observing the changes that occur.

Math Content

While moving runners along a line, and changing their step size and starting position, the students will identify and describe situations with constant rates of change and compare them.


Individual Lessons

Lesson 1 - Single Runner

In this activity, students use a software simulation of one runner along a track. Students control the speed and starting point of the runner, watch the race, examine a graph, and analyze the time-versus-distance relationship. This activity helps students understand, describe, and compare situations involving constant rates of change.

Lesson 2 - Two Runners

In this activity, students use a software simulation of two runners along a track. Students control the speed and starting point of the runners, watch the race, examine the graphs, and analyze the time-versus-distance relationships. This activity helps students understand, describe, and compare situations involving constant rates of change.

NCTM Resources

Navigating through Algebra in Grades 3‑5

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