Billiard the Door to Number Theory

Описание: Summary:

In this video we explore the connection between the geometry of a billiard table to number theory. The billiard table provides geometric representations for the greatest common divisor and the least common multiple.

Content:
0:00 Introduction
1:25 Exploration
2:06 GCD
3:09 Symmetries
3:48 Classroom activity
4:50 Students' results
5:30 Parity analysis
6:30 Prime factorization
7:53 Result
8:40 Proof and LCM
11:43 Credits and Outlook

References:

The content is based on a lesson by Dan Finkel that won the Rosenthal prize of the National Museum of Math in 2022. You can find the full lesson plan following this link:

https://momath.org/rosenthal-prize/#l...

youtube resources:
   • The Ancient Mathematics of the DVD Screens...   @AnotherRoof

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