The Pythagorean Theorem: Geometry’s Most Elegant Theorem

Resource ID#: 61535 Type: Presentation/Slideshow

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General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators, Students
Suggested Technology: LCD Projector, Overhead Projector
Instructional Time: 50 Minute(s)
Keywords: Pythagorean theorem, proofs. applications, Geometry, mathematical arguments about geometric relationships, two- and three-dimensional geometric shapes

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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")

Type: Video/Audio/Animation