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")
Resource ID#: 18416 Type: Video/Audio/Animation
Rate It!
Feedback?

Please sign in to access this resource

Teacher
Click here to sign in
as a FL public educator

Not a Florida public school educator?

Access this resource
on CPALMS.com

Open Resource Page Open Resource Page


Direct Link: https://blossoms.mit.edu/videos/lessons/pythagoras_and_juice_seller

General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators
Suggested Technology: Computer for Presenter, LCD Projector, Speakers/Headphones, Adobe Flash Player
Instructional Time: 55 Minute(s)
Keywords: Pythagorean Theorem, area, volume, Juice Seller's Problem
Instructional Component Type(s): Video/Audio/Animation,  Problem-Solving Task,  Teaching Idea,  Professional Development
Instructional Design Framework(s): Demonstration
Resource Collection: MIT BLOSSOMS

Aligned Standards

This vetted resource aligns to concepts or skills in these benchmarks.

Related Resources

Other vetted resources related to this resource.