course description

This 3-week module is based on Montana’s Content Standards for 8th-grade geometry with a focus on translations, rotations, reflections, and dilations. We will examine students’ perceptions about transformations, explore and justify relationships between figures, and discover geometric connections to similarity, proportion, and slope. Specific goals and activities include the following:

  • Identify and analyze common misconceptions in students’ understanding of transformations.
  • Investigate model lessons dealing with important concepts related to rigid transformations and congruence versus similarity.
  • Explore how to support students’ use of the Mathematical Practices through informal geometric proof and modeling. 

Facilitated by Pat Baltzley, Math Education Consultant

type of course

Facilitated

This course will only be offered when we have 10 or more interested participants. Fill out this form and we'll reach out to you with potential dates when enough people sign up. 

course length 15 OPI Renewal Units audience Math Teachers

user rating

User Ratings: 4.0 4.0 stars
course description

Acquire strategies for embedding the Mathematical Practices into everyday instruction and incorporating mathematical modeling into lessons and activities. Specific goals and activities include the following:

  • Recognize how learners engage in the 8 Mathematical Practices and how to incorporate them into lessons and activities.
  • Analyze video cases of exemplary teaching to identify Mathematical Practices in action.
  • Complete dynamic mathematical tasks and compare/contrast these tasks with those presented in your classroom textbook.

Facilitated by Brooke Tayler, Billings Public Schools

type of course

Facilitated, July 5 - 26, 2020

Registration opens June 15 and closes July 5 or when the course is full. 

course length 15 OPI Renewal Units audience 8-12 Math Teachers

user rating

New course, data coming soon!
course description

During this module, you will learn about facets of mathematical modeling instruction and assessment in high school. Specific goals and activities include the following:

  • Recognize competing conceptions for the term “modeling”, understand the MCSM definition of modeling and the six components of the modeling cycle, and rate modeling prompts on a scale from weak to strong,
  • Engage in a mathematical modeling activity in Algebra I, Geometry or Algebra II, and,
  • Understand best practices for assessment in mathematical modeling and apply an assessment rubric to student work.

Facilitated by Pat Baltzley, Math Education Consultant

type of course

Facilitated, Feb 7 - 28, 2021

Registration opens Jan 17 and closes Feb 7 or when the course is full.

Sign up for a registration reminder.

course length 15 OPI Renewal Units audience Math Teachers

user rating

New course, data coming soon!
course description

Statistics and Probability do not appear as stand-alone topics in Montana’s Standards. These concepts are dispersed throughout all high school mathematics courses with an emphasis on informed decision making. The power of statistics and probability to understand the world we live in is some of the most applicable knowledge students can acquire in our classrooms. 

  • Understand how key concepts in statistics and probability develop along a learning progression.
  • Discover how knowledge of statistics and probability leads into making inferences, predictions, and decisions
  • Explore how mathematical modeling enhances teaching probability and statistics – or do statistics and probability enhance the teaching of modeling?

Facilitated by Brooke Taylor, Billings Public Schools.

type of course

Facilitated, March 7 -28, 2021

Registration opens Feb 14 and closes March 7 or when the course is full. Sign up for a registration reminder.

course length 15 OPI Renewal Units audience Math Teachers

user rating

User Rating: 4.04.0 stars

"Comparing middle school statistics standards to HS standards was insightful" —Teacher, Great Falls, MT

course description

The introduction of the Common Core standards inspired a change in the mindset of “basing transformations on congruence” to the more intuitive approach of “basing congruence on transformations.” In modern geometry, the traditional arguments justifying congruence and similarity are more effectively supported by rigid transformations and dilations. In this 3-week module, we examine how transformations are applied to justify congruence and similarity. Specific goals and activities include the following:

  • Examining and connecting properties of transformations through constructions using GeoGebra.
  • Experiencing the shift to justifying congruence and similarity through transformations.
  • Revisiting fundamental geometric theorems and proving them through transformations.

Created by The STREAM Team. Facilitated by Pat Baltzley, Math Education Consultant

type of course

Facilitated

This course will only be offered when we have 10 or more interested participants. Fill out this form and we'll reach out to you with potential dates when enough people sign up. 

course length 15 OPI Renewal Units audience HS Math Teachers

user rating

User Ratings: 3.5 3.5 stars
course description

It’s time to fight back against the “function machine”! This course examines functions as objects in their own right, rather than treating them as rules, algorithms, or machines. We will explore Montana’s Common Core Standards for functions in high school with a focus on building functions. Finally, we will extend and complete our investigation with a modeling activity.

Facilitated by Brooke Taylor, High School Math Teacher, Billings, MT

type of course

Facilitated, November 1 - 22, 2020

Registration opens Oct 11 and closes November 1 or when the course is full.

course length 15 OPI Renewal Units audience HS Math Teachers

user rating

User Ratings: 3.9 3.9 stars

"The class made me think of functions in a different way and to change how I teach some of it." —High school teacher, Cascade, MT