# Falling Chickens

In this circle we investigated something called the “falling sand pile”. But sand is boring, so instead we studied falling chickens! The primary rule of falling chickens is

When 4 chickens land in someone’s backyard, they “break out” and go to the neighbors’ yards instead.

# Ultimate Toothpick Pattern

## Meeting Summary

We met to talk about a very simple, but really interesting, new pattern that can be created in the following way.

2. Add another toothpick at a right angle to each of the pointy-ends of the pattern
3. If two toothpicks, meet at  their pointy-ends, don’t add toothpicks to the place they meet.

We started with actual toothpicks, and eventually started to see a neat pattern emerging. And then, things got all mathematical! Continue reading Ultimate Toothpick Pattern

# Agenda

## Wednesday, July 29, 2015

• 8:00 – 9:30         Problem Solving Part 1 (Strategies, 10 Problems, 2 Problems)
• 9:30 – 10:00      Break
• 10:00 – 11:30   Launch + Arithmetic Fun (Overview, Slides)
• 11:30 – 1:00      Lunch (bored?)
• 1:00 – 2:30         Polygons on a Sphere (handout)
• 2:30 – 3:00         Break
• 3:00 – 4:00         Who is a Mathematician?

## Thursday,  July 30, 2015

• 8:00 – 9:00        Prep for Field Trip (Arches, Bubbles, Waves, Calculator)
• 9:00 – 9:15        Break
• 9:15 – 11:30     Field trip to the Discovery Center
• 11:30 – 1:00     Lunch
• 1:00 – 2:30        Iteration (handout)
• 2:30 – 3:00        Break
• 3:00 – 4:00        Sona Drawings (handout)

## Friday,  July 31, 2015

• 8:00 – 9:30          Problem Solving Part 2
• 9:30 – 10:00       Break
• 10:00 – 11:30    Dimensions (handout)
• 11:30 – 1:00       Lunch
• 1:00 – 2:30          Sharing Resources
• 2:30 – 3:00          Break
• 3:00 – 4:00          Math Games (handout)

# Moving Points

Linear transformations have many applications. We looked into questions about how linear transformations move points around in the plane. The activity has more information about the tasks, which include lots of “2 by 2” matrices.

# Three Point One Four Something

March 14, 2015 was an auspicious date to have a ‘math circle’ meeting.  We ate some great dessert, and worked on some really interesting questions like:

• How exactly can you approximate $\pi$ using regular polygons using just the Pythagorean Theorem?
• What does it mean to find a ‘best rational approximation’ of a number?
• How do you calculate continued fractions?
• What are some continued fractions of popular irrational numbers?
• What might be some ways to prove an infinitude continued fraction equals a specific irrational number?

# Number Graphs

For this last session of the Fall 2014 meetings, we explored a type of number puzzle involving labeling undirected graphs.

# Now Recruiting for Spring 2015

The Department of Mathematics at Boise State University is excited to announce we’ll be continuing the Boise Math Circle sessions during Spring 2015.

The program directors have extended invitations to Fall 2014 participants to continue, and are also recruiting new participants. If you or someone you know likes solving problems and wants to learn more about the creative side of math, please consider applying.

## Teachers

Please help us recruit participants by letting your students know about the program. If you’d like attendance reports for your students (e.g., for extra credit) , please send us an email. You’re of course welcome to join the sessions.

# Numbers on Clocks

For this session, we worked on Modular Arithmetic by thinking about a circular number line arranged like a clock.

# Beguiling Tilings

Dr. Brandy Wiegers, assistant professor of mathematics at Central Washington University,  was our guest circle leader on Saturday, November 11, 2015.

Dr. Brandy introduced us to some interesting questions about covering up rectangles using simple square or rectangular tiles.