Activity Description Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence and limits to an infinite sequence.

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Tortoise

Place in mathematics curriculum:

This activity can be used to:

• demonstrate non-terminating sequences of fractions and decimals
• motivate the notion of infinity
• motivate the notion of self-similarity

This activity allows the user to step through the tortoise and hare race, which is based upon Zeno's Paradox about Achilles and the tortoise. This activity would work well in groups of one or two for about ten to fifteen minutes if you use the exploration questions and five minutes otherwise.

Preparations for this activity:

• discuss infinity
• explain average speed