# 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: Making Sense of Modeling (HS)

During this module, you will learn about facets of mathematical modeling instruction and assessment in high school. Specific goals and activities include: 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; understand best practices for assessment in mathematical modeling and apply an assessment rubric to student work.

15 Renewal Units

Enrollment opens – May 12, 2018

# STREAM Online Math Courses

NEW! Non-Facilitated Module: Making Sense of Modeling (8-12)

APRIL 16 – MAY 4

In this 3-week non-facilitated module (see end of document for details) you will investigate standards-based mathematical modeling at the secondary level through the lenses of instruction and assessment. Specific goals and activities include the following:

Examine competing conceptions of modeling; study the CCSS definition of modeling and six components of the modeling cycle; rate modeling prompts on a scale from weak to strong.

Engage in a mathematical modeling activity designed for Algebra I, Geometry, or Algebra II.

Investigate best practices for assessment in mathematical modeling and apply an assessment rubric to student work.

Registration will open on March 26, 2018 and close on April 16, 2018.

Developing Fraction Sense (3-5) Formerly titled All About Fractions (3-5)

APRIL 16 – MAY 4

This 3-week module examines learning progressions related to fractions with a focus on foundational ideas that promote fraction sense and understanding. Specific goals and activities include the following:

● Examine ways to develop “fraction sense.”

● Discover how learning progressions for K-2 geometry support the development of fraction knowledge in grades 3-5.

● Explore fraction equivalence and comparing and ordering fractions using a variety of models and manipulatives.

Registration will open on March 26, 2018 and close on April 16, 2018.

Ratio and Proportion (6-7)

APRIL 16 – MAY 4

This 3-week module explores how a solid understanding of fraction concepts lays the foundation for students to successfully work with ratios and proportions. Specific goals and activities include the following:

● Recognize how learning progressions for fractions prepare students to successfully work with ratios and proportions.

● Solve fraction, ratio, and proportion problems in multiple ways.

● Develop an awareness of student misconceptions related to fraction/ratio/proportions and examine teacher strategies to resolve these misconceptions.

Registration will open on March 26, 2018 and close on April 16, 2018.

Functions as Objects (HS)

APRIL 16 – MAY 4

It’s time to fight back against the “function machine”! In this 3-week module we examine 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. Specific goals and activities include the following:

● Redefine it! Develop a fresh understanding of functions as objects that can be represented and manipulated mathematically.

Move it! Use Desmos (free online software) effectively to discover and investigate function movement.

● Represent it! Study relationship between the four representations of functions: verbal, tabular, algebraic, and graphical.

Registration will open on March 26, 2018 and close on April 16, 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.