Ian, age 8,  shares 6 cookies with 7 people, 2 ways!

Ian first cut the each of the 6 cookies into 7 pieces, naming each piece 1/7. Then he shared the pieces so that each person got 6/7 of a cookie.

Then Don asked Ian to use the special scissors which cut into 2 equal pieces, and do the same problem: share 6 cookies between 7 people. This is what he ended up with (Don never asked him to do all of this!):

Don asked Ian to write down what he found; this is what he wrote:

Fine job Ian!

To Ian's graphs of sine waves at right angles to get a bowtie and a pretzel
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