# ENROLLMENT OPENS JULY 7, 2019: STREAM: Ratios & Proportions (6-7) (July 28 – August 18, 2019)

This module explores how a solid understanding of fraction concepts lays the foundation for students to successfully interpret, apply, and manipulate ratios and proportions. Specific goals and activities include the following:

- Recognize how learning progressions based on fraction knowledge prepare students for conceptual work with ratios and proportions.
- Solve fraction, ratio, and proportion problems in multiple ways.
- Develop an awareness of student misconceptions related to fraction, ratio, and proportion and examine teacher strategies to resolve these misconceptions.

15 renewal units

Enrollment opens July 7, 2019.

Visit the STREAM: Ratios & Proportions (6-7) course on the Teacher Learning Hub to enroll.

# STREAM: Mathematical Practices (K-8th Grade) (Jul. 7-26, 2019)

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 16, 2019

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

# ENROLLMENT OPENS JUNE 16, 2019: STREAM: Mathematical Practices (HS) (July 7-28, 2019)

During this module, you will acquire strategies for embedding the Mathematical Practices into everyday instruction and learning to recognize mathematical modeling in lessons and activities. Specific goals and activities include the following:

- Recognize how learners engage in the eight Mathematical Practices and how to incorporate them into lessons and activities.
- Analyze video cases of exemplary teaching to identity Mathematical Practices in action.
- Complete dynamic mathematical tasks.
- Observe levels of student and teacher engagement in Mathematical Practices and modeling.

Created by the STREAM project and facilitated by Math Educational Consultant Pat Baltzley.

15 renewal units

Enrollment opens June 16, 2019.

Visit the STREAM: Mathematical Practices (HS) course on the Teacher Learning Hub to enroll.

# ENROLLMENT OPENS MAY 12, 2019: STREAM: Fraction Models and Operations (3-5) (Jun. 2 – 22, 2019)

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 12, 2109

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

# ENROLLMENT OPENS MAY 12, 2019: STREAM: Making Sense of Modeling (8-12th Grade) (June 2 – 23, 2019)

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 12, 2019.

How to Enroll: Visit STREAM: Making Sense of Modeling (8-12) on the Teacher Learning Hub

# STREAM: Connecting Length, Area, and Volume (K-5) (May 5-24, 2019)

This 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 14, 2019

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

# STREAM: Geometric Thinking (K-3)

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 – March 17, 2018

# STREAM: Geometric Thinking (4-7)

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 17, 2018

# STREAM: Exploring Transformations (7-9)

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 17, 2108

# STREAM: Measurement (K-3)

This 3-week module primarily focuses on measurement, the K-3 learning progressions related to measurement, and foundational ideas that promote deeper understanding of measurement concepts. Participants will: develop enduring understandings of measurement attributes, processes, and tools; explore relationships among units, attributes, and measures within a system of measurement; engage in authentic problem-solving using tools that can be applied in the classroom.

15 Renewal Units

Enrollment opens – February 10, 2018