Quote of the Day:
"The value of an education ... is not the learning of many
facts but the training of the mind to think something
that cannot be learned from textbooks."
-- Albert Einstein
Objectives:
The student will solve applied maxima/minima problems.
1. Collect Homework.
2. Prelude to the Spider and the Fly:
Materials Needed:
Big Screen TV set
string or tape measure
Problem: A bug on the back left corner of the TV crawls
to the bottom right front corner. What is the
shortest distance of its path?
Have students work on this problem to get an
answer. Then discuss the answers. Show how
to solve this max/min problem using a
geometrical model:
The green path goes across the top and down the
front of the TV. The red path goes across the
top and down the side. Use the Pythagorean
Theorem to solve the right triangles containing
these lines:
So, the shortest distance is approximately 6.4'.
Now, measure the Big Screen TV with a piece of
string or a tape measure. Put the string from
corner to corner - it will minimize the distance
naturally! Just another case where nature takes
over in the minimization process.
3. Distribute a copy of the Spider and the Fly
4. Assignment: Max/Min Review Puzzle
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