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Topic: A follow up to Aunt Mazie's Birthday problem


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Subject:   A follow up to Aunt Mazie's Birthday problem
Author: ihor
Date: Jun 28 2006
For those of you who have access to Sketchpad 4, here's another way to pose the
Aunt Mazie challenge.

http://mathforum.org/clime/auntmaze3.gsp

How might asking a non-algebraic solution lead to illuminating the algebraic
solution?

Here's the problem as posted on the sketchpad file.

Birthday Trip

Jade's family is planning to travel to her Aunt Mazie's house to celebrate Aunt
Mazie's 102nd birthday. On the first day of the trip they'll drive halfway there
and then stop to set up camp for the night. On the second day of the trip
they'll drive two-thirds of the remaining distance before stopping for some
sightseeing and camping. On the last day they'll have 145 miles left to drive.


Question: How far is the trip to Aunt Mazie's house?

Use the sketchpad "manipulatives" to help you solve the problem without using
Algebra. Then explain your strategy.
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