Adding together infinitely many numbers

It is often necessary to add more than two numbers together. For example, you might have made 137 deposits to your bank account this year, and wonder how much you contributed in total. But is it possible to add infinitely many numbers together? The answer is that sometimes it is possible, and sometimes it isn’t! In this discussion we investigated when, why, and how! Continue reading Adding together infinitely many numbers

Boise Math Teachers’ Circle recruiting for 2016-2017

The Boise Math Teachers’ Circle is excited to announce our program for the 2016–17 school year! The BMTC is open to K–12 mathematics educators. We will meet four Saturdays, for four hours each, to discover exciting math concepts and tackle challenging math problems together.

Our session dates

  • Saturday, October 22, 2016
  • Saturday, January 21, 2017
  • Saturday, February 25, 2017
  • Saturday, April 15, 2017

Ovals upon ovals!

A circle has a center c and a radius r. The points on the circle are all a distance of exactly r units from c. What if we start with two fixed center points? The set of points on an ellipse have a fixed sum-distance to two center points c1 and c2 (called foci). An ellipse has kind of an oval shape. Ellipses occur in nature – the Earth’s orbit is not a perfect circle but rather an ellipse, with the Sun being just one of the two foci.

In this activity we investigated how to draw ellipses using pushpins and string. We also asked whether it is possible to have more than two fixed center points. Continue reading Ovals upon ovals!

Explore and engage with mathematics