October 2021 Upper-Level Teacher Workshop

This workshop took place virtually on October 16.
Due to the high demand for our virtual teacher workshops, we split and run a lower-level workshops (designed for teachers of grades K-5) and an upper-level workshops (designed for teachers of grades 6-12). The page for the associated lower-level workshop is

at this lower-level link

Professional development credit certificates and stipends were be offered for this workshop.
However, a teacher may only obtain a certificate and stipend for the lower-level or upper-level workshop, but not both. (It is OK if someone wants to attend both workshops.)

Participants need to have a current W9 on file with Kansas State University to get the stipend. A copy of the W9 form is available at the bottom of this page. If someone was paid for a workshop in 2021, the W9 on file is still valid.

The workshop featured 90-minute mathematical activities/explorations led by Matthias Kawski and Amanda Serenevy.


(All times in Mountain Time.)

9:00 – 9:10 am Welcome

9:10 – 10:40 (Amanda Serenevy) Math Session 1: Remainder Webs

10:40 – 11:00 Introductions/Discussion

11:00 – 12:30 (Matthias Kawski) Math Session 2: Annihilating dots on a circle

12:30 – 1:00 Final discussion


Remainder Webs

We will explore the fascinating remainder patterns that emerge when converting fractions into decimal forms. When will most of the numbers form a single web and when will they split into separate groups?

Digit Fidgets handout

Annihilating dots on a circle
Put red and blue dots on a purple circle. When a red dot moves on top of a blue one the resulting purple dot is lost. What happens?

W9 form