# ENROLLMENT OPENS May 17, 2020 – STREAM: Making Sense of Modeling HS (Jun. 7-27, 2020)

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.

15 Renewal Units

Enrollment Opens May 17, 2020

How to Enroll: Visit STREAM: Making Sense of Modeling (HS) on the Teacher Learning Hub

# ENROLLMENT OPENS May 17, 2020 – STREAM: Fraction Models & Operations (Jun. 7-27, 2020)

This course examines learning progressions and models related to operations on fractions. Another module, *Developing Fraction Concepts 3-5,* explores the meaning of “fraction” and fundamental concepts of equivalence and comparison. This module goes a step further to examine conceptual understanding of fraction operations and the models used to develop these concepts. Specific goals and activities include the following**: **

- Examine different types of conceptual models used to represent fraction operations.
- Discover how learning progression guide students’ developing knowledge of fraction operations in grades 3-5.
- Explore and apply fraction operations in real-world contexts.

Created by the STREAM project and facilitated by Tom Redmon, Daly Elementary School

15 Renewal Units

Enrollment opens – May 17, 2020

How to Enroll: Visit STREAM: Fraction Models and Operations (3-5) on the Teacher Learning Hub

# ENROLLMENT OPENS Jun. 15, 2020 – STREAM: Mathematical Practices K-8 (Jul. 5-25, 2020)

During this course, you will acquire strategies for embedding the Mathematical Practices into everyday instruction and for incorporating STEM-focused activities into lessons and activities. Specific goals include:

- Recognize the 8 Mathematical Practices and how to incorporate them into lessons.
- Analyze videos of exemplary teaching and identify Mathematical Practices in use.
- Revise existing lessons to engage students in specific Mathematical Practices.

Created by STREAM project and revised by Becky Berg, Billings Elementary.

15 Renewal Units

Enrollment opens – June 15, 2020

How to Enroll: Visit STREAM: Mathematical Practices (K-8) on the Teacher Learning Hub

# ENROLLMENT OPENS Apr. 12, 2020 – STREAM: Connecting Length, Area, & Volume (May 3-23, 2020)

his three-week module will expand your vision of what it takes to develop conceptual understanding of linear measurement, perimeter, area, and volume. You will determine linear measurements of shapes, cover surfaces with square units to find area, and fill spaces to measure volume. You will delve into the relationships and structures of area, perimeter, and volume. Specific goals and activities include the following:

- Develop a mini-progression for learning a concept related to perimeter, area, and/or volume in grades K-5.
- Read about conceptually taught lessons, identify learning progressions within the lessons, and diagnose student misconceptions.
- Analyze and employ Math Talk as a tool for developing conceptual understanding.
- Solve, share, and defend solutions for perimeter, area, and volume problems.

Facilitated by Georgia Cobbs, University of Montana

15 Renewal Units

Enrollment Opens – April 12, 2020

How to Enroll: Visit STREAM: Connecting Length, Area, and Volume on the Teacher Learning Hub

# ENROLLMENT OPENS Mar. 15, 2020 – STREAM: Geometric Thinking K-3 (Apr. 5-25, 2020)

This 3-week module investigates conceptually related and interdependent ideas about geometric shapes, geometric structure, and spatial relationships. Geometry is a particularly relevant area of mathematics for young children, who are naturally curious about their physical world. Participants will: examine properties and categorization of two-dimensional shapes; explore composition and decomposition of geometric shapes; develop deeper understanding of spatial relations and spatial structuring.

15 Renewal Units

Enrollment opens – Mar. 15, 2020

Visit the STREAM: Geometric Thinking (K-3) course on the Teacher Learning Hub to enroll

# ENROLLMENT OPENS Mar. 15, 2020 – STREAM: Geometric Thinking 4-7 (Apr. 5-25, 2020)

This 3-week module examines learning progressions in geometry with a focus on foundational ideas that promote geometric understanding. Participants will:

recognize geometric shapes and their components (e.g., sides, angles, faces);

learn properties of geometric figures and categorization based on those properties; develop strategies for composing and decomposing geometric shapes; engage in spatial relations and spatial structuring.

15 Renewal Units

Enrollment opens – March 15, 2020

Visit STREAM: Geometric Thinking (4-7) on the Teacher Learning Hub to Enroll

# ENROLLMENT OPENS Mar. 15, 2020 – STREAM: Exploring Transformations 7-9 (Apr. 5-25, 2020)

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.

15 Renewal Units

Enrollment Opens – March 15, 2020

Visit STREAM: Exploring Transformations (7-9) on the Teacher Learning Hub to enroll

# ENROLLMENT OPENS Feb. 9, 2020 – STREAM: Statistical Inferences HS (Mar. 1-21, 2019)

Statistics and Probability do not appear as stand-alone topics in Montana’s Content 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.

15 Renewal Units

Enrollment Opens – February 9, 2020

Visit STREAM: Statistical Inferences (HS) on the Teacher Learning Hub to enroll

# ENROLLMENT OPENS Jan. 12, 2019 – STREAM: Algebraic Thinking K-5 (Feb. 2-22, 2020)

This 3-week course is designed to address K-5 algebraic thinking standards. Participants in this module will examine learning progressions in Algebraic Thinking with a focus on foundational ideas that promote algebraic understanding. Specific goals include the following:

- Recognize that addition, subtraction, multiplication, and division operate under the same properties in algebra as they do in arithmetic
- Learn variables are tools that are used to describe mathematical ideas in a variety of ways
- Develop strategies for describing relationships among quantities to determine equivalence or inequalities

15 Renewal Units

Enrollment opens – January 12, 2020

Visit STREAM: Algebraic Thinking (K-5) on the Teacher Learning Hub to enroll

# ENROLLMENT OPENS Jan. 12, 2020 – STREAM: Algebraic Thinking 6-7 (Feb. 2-22, 2020)

This 3-week course is designed for middle grade teachers to draw out high level algebraic thinking from their students. The focus is on teacher practices utilizing 6th and 7th grade Expressions and Equations Standards as a vehicle to improve algebraic thinking of students and teacher pedagogy.

15 Renewal Units

Enrollment Opens – January 12, 2020

Visit the STREAM: Algebraic Thinking (6-7) on the Teacher Learning Hub to enroll