Math Circles Meeting: May 10th, 2014

The 6th meeting of the Islander Math Circles, Spring 2014

Facilitators: Dr. Philip Yaskin

Agenda: Polygon Differencing

Problem

Put 4 integers on the corners of a square. At the midpoint of each side put the positive difference of the numbers at the corners. Connect the midpoints to form a new square. Repeat this process until it terminates. What do you notice? Do you think this happens no matter what numbers you put on the 4 corners? Repeat this process with a triangle. Now what do you think about your conjecture about the square? Repeat this process for an N-gon (a polygon with N sides). For which N’s does the process behave like a square? For which does it behave like the triangle? Prove your conjectures.

Survey from National Association of Math Circles

 

 

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Math Circles Meeting: March 29th, 2014

The 4th meeting of the Islander Math Circles, Spring 2014

Facilitators: Sarah Ives, Kim Moore, George Tintera

Agenda: March Mathness

The Billion Dollar Challenge

ncaa-tournament-march-madness-bracket-2014

Improving the Odds


 

Bracketology 101

Further Exploration

  • Are there other factors you would consider if you were making a bracket?

march madness

 

Math Circles Meeting: March 8th, 2014

The 3rd meeting of the Islander Math Circles, Spring 2014

Facilitators: Sarah Ives, Kim Moore, George Tintera

Agenda: History of Pi from Archimedes to Buffon

Pi:  How many digits do we really need to know?

Improving Archimedes

a'sapproximation

Improving Archimedes Method

Circle with inscribed and circumscribed hexagon 

Archimedes’ Process

Interactive of Archimedes’ Method

 

Buffon’s Needles

Gif of Buffon’s Needles

Simulation of Buffon’s Needles      

Cut the Knot Buffon’s Needle  


buffonpic

buffon

Math Circles Meeting: January 18th, 2014

The 1st meeting of the Islander Math Circles, Spring 2014

Facilitators: Sarah Ives, Kim Moore, George Tintera

Agenda:  Frieze Patterns and Fruit Roll Ups

What does Sponge Bob need to learn about math?

http://www.khanacademy.org/embed_video?v=gBxeju8dMho

spongebobWhat math can you learn while eating fruit roll ups?

http://www.khanacademy.org/embed_video?v=Am-a5x9DGjg

Frieze Patterns Practice

frieze

Doodling in Math and More

Problem Sets