Please visit our new web site at https://www.boisestate.edu/math/circles/. Thank you!

### Student's circle (BMC)

The Boise Math Students' Circle is for Treasure Valley young people with some experience with algebra who want to experience creative mathematics.

- 2019-20 BMC calendar
- Past BMC sessions
- About the BMC
- Photos from the BMC
- Sign up for announcements (read past announcements)

### Teacher's circle (BMTC)

The Boise Math Teachers' Circle is a community for Treasure Valley K–12 math educators.

- Check out the current BMTC program
- Some past BMTC sessions
- You can also see our past programs:

BMTC 2018-2019

BMTC 2017-2018

BMTC 2016–2017

BMTC 2015–2016

## Recent sessions

Potpourri

Our first activity was about the problem of writing numbers as sums of three cubes.
This Numberphile video with Tim Browning
explained the problem.
We tried solving for a few numbers like 39.

bmtc-sessions item dated Mar 9, 2019

bmtc-sessions item dated Mar 9, 2019

Egyptian Fractions

At this session we welcomed some guests: high school students and non-math teachers.
It was really exciting to share our math circle more widely!

bmtc-sessions item dated Feb 9, 2019

bmtc-sessions item dated Feb 9, 2019

Finance

We explored mathematical concepts in statistics and calculus in a context of finance.
Jennifer Eldred, who is a teacher at Kuna High School,
shared some activities that she prepared as part of her master’s thesis at Boise State.
The activities are available on her web site:

bmtc-sessions item dated Jan 26, 2019

bmtc-sessions item dated Jan 26, 2019

Fractals

We looked at fractals, and even made our own!
This session was led by Teri Willard and Mandy McDaniel.
We cut and folded pieces of paper to illustrate the first four “phases”
in the iteration for a fractal.
We used our models to investigate a number of patterns,
such as counting the number of rectangular faces and determining their measurements at each step,
to finding the total area or volume of the fractal.
That involved geometric series.
We discussed how this activity could go into a classroom and the many things
that a student might get from it.
This was a “low floor, high ceiling” activity—anyone can have fun making the paper models,
and the mathematical investigation can go as far as you want it to go.

bmtc-sessions item dated Nov 10, 2018

bmtc-sessions item dated Nov 10, 2018

Rationals and Irrationals

We looked at irrational and rational numbers.
We figured out which real numbers have terminating, repeating, or eventually repeating
decimal expansions.
And we found some patterns in the periods of repeating decimal expansions:
for a prime number $p$, the decimal expansion of $1/p$ always has a period
which is a factor of $p-1$.
We saw how to prove that some numbers are irrational,
including $\sqrt{2}$ and $\log_2(3)$ (the logarithm of $3$ in base $2$).

bmtc-sessions item dated Oct 13, 2018

bmtc-sessions item dated Oct 13, 2018

Introduction to trees

Continuing with our introduction to combinatorics, this time we explored the structure side of things and introduced graph theory.

bmc-sessions item dated Sep 29, 2018

bmc-sessions item dated Sep 29, 2018