MIT BLOSSOMS - Guess the Last Ball: An Exercise in Mathematical Modeling

This video lesson uses the technique of induction to show students how to analyze a seemingly random occurrence in order to understand it through the development of a mathematical model. Using the medium of a simple game, Dr. Lodhi demonstrates how students can first apply the 'rules' to small examples of the game and then, through careful observation, can begin to see the emergence of a possible pattern. Students will learn that they can move from observing a pattern to proving that their observation is correct by the development of a mathematical model. Dr. Lodhi provides a second game for students in the Teacher Guide downloadable on this page. There are no prerequisites for this lesson and needed materials include only a blackboard and objects of two different varieties - such as plain and striped balls, apples and oranges, etc. The lesson can be completed in a 50-minute class period.
Resource ID#: 18414 Type: Video/Audio/Animation
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Direct Link: https://web.mit.edu/blossoms/videos/lessons/guess_last_ball_exercise_mathematical_modeling

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
Instructional Time: 43 Minute(s)
Keywords: mathematical modeling, game, pattern, induction
Instructional Component Type(s): Video/Audio/Animation,  Lesson Plan,  Problem-Solving Task, 
Instructional Design Framework(s): Learning Cycle (e.g., 5E)
Resource Collection: MIT BLOSSOMS

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