# STREAM: Mathematical Practices (K-8)

During this module you will acquire strategies for embedding the Mathematical Practices into everyday instruction and for incorporating modeling and other STEM-focused activities into lessons and activities. Specific goals and activities include: recognize the 8 Mathematical Practices and how to incorporate them into lessons and activities; analyze videos of exemplary teaching and identify Mathematical Practices in use; revise existing lessons to engage students in specific Mathematical Practices.

15 Renewal Units

Enrollment opens – June 16, 2018

# STREAM: Mathematical Practices & Modeling (HS)

During this 3-week module you will acquire strategies for (1) embedding the Mathematical Practices into everyday instruction and (2) incorporating mathematical modeling into lessons and activities.

15 Renewal Units

Enrollment opens – June 16, 2018

# STREAM Online Math Courses

*NEW! Non-Facilitated Module: Geometric Measurement (K-5)

MARCH 19 – APRIL 6

This 3-week non-facilitated module (see end of document for details) elaborates learning steps that students follow to acquire conceptual understanding of linear measurement, perimeter, area, and volume. Only after the conceptual knowledge is solidly developed are students able to accurately apply formulas and choose appropriate tools. Specific goals include:

● Recognize how to incorporate the eight Mathematical Practices into lessons and activities.

● Develop conceptual progressions for learning perimeter, area, and volume in grades K-5.

● Analyze conceptually taught lessons to identify learning progressions within the lesson and identify student misconceptions.

● Solve, share and defend solutions for perimeter, area, and volume problems.

Registration will open on February 26, 2018 and close on March 19, 2018.

Mathematical Practices (K-8)

MARCH 19 – APRIL 6

This 3-week module provides teachers with strategies for embedding the Mathematical Practices into everyday instruction and for incorporating modeling and other STEM-focused activities into lessons and activities. Specific goals and activities include the following:

Recognize the eight Mathematical Practices and how to incorporate them into lessons and activities.

● Analyze videos of exemplary teaching and identify the Mathematical Practices in use.

● Revise existing lessons to engage students in specific Mathematical Practices.

Registration will open on February 26, 2018 and close on March 19, 2018.

Algebraic Thinking (K-5)

MARCH 19 – APRIL 6

This 3-week module will examine learning progressions that illuminate early stages of algebraic thinking and develop the foundation for later success in algebra. Specific goals and activities include the following:

● Explore how addition, subtraction, multiplication, and division operate under the same properties in algebra as they do in arithmetic.

● Recognize variables as tools that are used to describe mathematical ideas in a variety of ways.

Develop strategies for describing relationships among quantities to determine equivalence or inequality.

Registration will open on February 26, 2018 and close on March 19, 2018.

Algebraic Thinking (6-7)

MARCH 19 – APRIL 6

This 3-week module is designed to draw out high-level algebraic thinking from middle grades students. The focus is on using the 6th and 7th grade standards for expressions and equations as a vehicle to examine teacher practice and improve students’ algebraic thinking. Specific goals and activities include the following:

● Define algebraic thinking and reasoning through the “Habits of Mind” framework.

● Evaluate the way teachers talk to and question students about expressions, equations, and inequalities.

● Explore the standards for expressions and equations and the Mathematical Practices through engaging problems.

● Apply algebraic thinking to STEM and real-world problem solving lessons.

Registration will open on February 26, 2018 and close on March 19, 2018.

Linear Relationships (7-9) Formerly titled: Straight Talk: Linearity (7-9)

MARCH 19 – APRIL 6

In this 3-week module we will examine how the concept of proportionality is related to the study of linear equations. We will explore Montana’s Common Core Standards for Probability and Statistics in the 8th grade, focusing on the study of bivariate data. Finally, we will extend our investigation to a study of functions using time versus distance as a context. Specific goals and activities include the following:

● Examine student work and create activities to strengthen students’ understanding of linearity and proportion.

● Use GeoGebra (free, downloadable software) to “dive into data” and ultimately create a standards-based lesson for probability and statistics.

● Study, create, and compare three principal representations of functions.

Registration will open on February 26, 2018 and close on March 19, 2018.

Register for all courses at the OPI Teacher Learning Hub, http://learninghub.mrooms.net

Successful completion of each STREAM module earns 15 OPI renewal units.

# STREAM Online Math Courses

*NEW! Non-Facilitated Module: You Decide How to Divide (3-5)

FEBRUARY 19 – MARCH 9

This 3-week non-facilitated module (see end of document for details) examines the prior knowledge and mathematical foundations that support students’ conceptual understanding of division. Specific goals and activities include the following:

● Investigate different models for multiplication and how they contribute to a multi-grade learning progression; analyze student work using these models.

● Explore a variety of models and concepual frameworks for division; analyze aspects of a student-centered classroom using several of these methods.

● Apply newly acquired knowledge of division models and methods in a teaching situation.

Registration will open on January 29, 2018 and close on February 19, 2018.

Mathematical Practices (K-8)

FEBRUARY 19 – MARCH 9

This 3-week module provides teachers with strategies for embedding the Mathematical Practices into everyday instruction and for incorporating modeling and other STEM-focused activities into lessons and activities. Specific goals and activities include the following:

● Recognize the eight Mathematical Practices and how to incorporate them into lessons and activities.

● Analyze videos of exemplary teaching and identify the Mathematical Practices in use.

● Revise existing lessons to engage students in specific Mathematical Practices.

Number Systems and Operations (K-3)

FEBRUARY 19 – MARCH 9

This 3-week module is designed for grades K-3 teachers. Participants in this module will examine learning progressions in Number and Operations with a focus on active engagement strategies that promote understanding of number sense. Specific goals include:

● Discover the “why” behind the importance of helping students meet standards.

● Recognize the differences and different uses of strategies vs. algorithms.

● Use learning progressions and standards to sort student work.

● Develop precise mathematics vocabulary.

Registration will open on January 29, 2018 and close on February 19, 2018.

Number Systems and Operations (4-7)

FEBRUARY 19 – MARCH 9

This 3-week module is designed for grades 4-7 teachers. Participants in this module will examine learning progressions in Number Systems and Operations, with a focus on active engagement strategies that promote understanding of number sense. Specific goals include:

● Examine how learning progressions build knowledge of number and operations.

● Align rich tasks to the Number and Operations content standards.

● Read how other teachers introduce big ideas about number.

● Create an “ideal” standards-based lesson plan.

Registration will open on January 29, 2018 and close on February 19, 2018.