- Suppose the figure you created in class is a set of stairs. How many people can fit on each stair if 15 people fit on the top stair?
- There is a rule which states that your height at age 2 is 1/2 your adult height.
- How would you expect your weight to change over the same period?
- If you want your weight to double from age 2 to adult, how would you expect your height to change? Does this seem reasonable?
- Suppose that each dimension of a figure is scaled with a different scale factor. Without actually doing extensive computation, can you predict the relationship between the volume of the original figure and the scaled figure?
- Describe examples of scaling you find in your world. You may want to consider examples from architecture, literature, toys, film, science, etc.
Here is a web site where you can manipulate the Tower of Hanoi. Check this out:
There are two members of the Northwest Mathematics Interaction, a PCMI affiliate group, which have web sites with bits on this fractal and/or the Tower of Hanoi. They are:
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This material is based upon work supported by the National Science Foundation under Grant No. 0314808.
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