Circle Meeting: December 3rd, 2016

Agenda: Exploring Polygonal Numbers

Facilitated by: Kim Moore and Aubrey Rhoden

Polygonal Number Explorations

Polygonal Number Explorations Answer Key

reallife

Discovering Properties of Polygonal Numbers

pentagonal

hexagonal

Interactive Polygonal Numbers

sixseveneight

 

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Math Circle Meeting: October 15th, 2016

Agenda: Mathematics and the Presidential Election

Facilitated by: Kim Moore

Voting Methods

Mathematics and the Presidential Election Student Guide

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Candy Simulation

  • Popular Vote

  • Representative Vote

  • Modified Electoral College

  • Electoral College

Which method do you think is the most fair?

Which is the best way to decide?

Can you think of a way to make the system even better?

electoral-map

Are the number of electoral votes allotted to each state directly proportional to the population of the state?

  • Run-off Methods

Challenge

What is the smallest percent of popular vote you could win and still win the electoral vote?

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Electoral College and Population Reference Sheet

Other Interesting Resources:

Math Circle Meeting: September 10th, 2016

Agenda: Irregular Polygons

Presenters: Aubrey Rhoden and Kim Moore

Irregular Polygons Practice Problems 

Irregular Polygons Practice Problems Solutions

MATHCOUNTS Minis

  • How can you use similarity to solve irregular polygon problems?

  • How can you use the Shoelace Method to solve irregular polygon problems?

Explanation of Shoelace Method

A Million Dollar Problem

imbedded-square

Four Challenge Questions

  • Does every taxi loop have an inscribed square?

  • Does every loop have more than one inscribed square?

  • Does every taxi cab loop have an inscribed square if diagonals are allowed?

  • What is the link between this problem and the 1911 inscribed square problems of Toeplitz?