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TAS Kids % Anne Hecht
Taipei American School
800 Chungshan Rd, N., Sec. 6, Taipei, Taiwan, R.O.C.

4th Grade; Names of Students:  Carven Chan; Pauline Chen; Michelle Clinton; Christopher Feng; Katherine Hannigen; Brwyn Harris; Joey Ho;  Michael Huang; Saria Kume; Ricky Lau; Icy Liu;  Maurice Liu; Marcus Lo; Krisy McDowall; Hans Meershoek; Ryan Ng; Kathryn Rowe; Marie Schaufelberger; Tu Yan Ting; Timothy Tu; and Ken Usuba

1.  State the Problem.  Monica, Tony, and Ana want to equally share a cake.  How can they do this so that everybody feels that they got their fair share? What we know;  that three people want to equally share a cake. What we donÕt know; what shape the cake is; how big the cake is Assumptions; any size the cake is and how big the cake is will give the right answer. 2.  Failed strategies; They had a circular cake.  They used their eye to draw one line through it but their eye was not a good measuring device-
 you canÕt divide it into three exact pieces with the eye; next they tried twice to measure it into nine pieces but the eye was not a good measuring device; next one group decapitated Ana and divided the cake between the other two people.  This is a failed strategy because they didnÕt follow the rules.  Next group-Make a rectangular cake and measured it into three equal  peices looking down.  Each gets one third.   The next group drew a circle and divided it into three peices.  Neither of these two strateg
ies are succesful because a rectangle and circle are two dimensional.  The next group measured a circle with a protracter each person got a hundred and twenty degrees of the cake,but again a circle is 2-D. 3. The only succesful strategies were when the cake was 3-D and had volume.  A cylinder measured with a protracter on top and cut down through the thickness gives each of three people equal amounts.  A box- cake (rectangular prism) with a rectangle on top  measured with a ruler gives everyone an equal am
ount.  Also these cakes could be turned on their sides, measured with a ruler and cut equally from the sides.

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