| MIT BLOSSOMS - The Juice Seller’s Problem: | "This video lesson
presents a real world problem that can
be solved by using the Pythagorean theorem.
The problem faces a juice seller daily.
He has equilateral barrels with equal
heights and he always tries to empty
the juice of two barrels into a third
barrel that has a volume equal to the
sum of the volumes of the two barrels.
This juice seller wants to find a simple
way to help him select the right barrel
without wasting time, and without any
calculations - since he is ignorant
of mathematics. The prerequisite for
this lesson includes knowledge of the
following: the Pythagorean theorem;
calculation of a triangle's area
knowing the angle between its two sides;
cosine rule; calculation of a circle's
area; and calculation of the areas and
volumes of solids with regular bases.
Materials necessary include: equilateral
containers of equal heights; sand; and
measuring devices. Examples of in-class
activities for the breaks between video
segments include class discussions,
individual calculations and small group
problem solving." (from MIT Blossoms' "Pythagoras and the Juice Seller") |
