# STREAM: You Decide How To Divide (3-5)

During this module you will explore essential concepts, skills, and representations that support students’ developing knowledge of division across grades 3-5. Participants will: recognize and apply a variety of models for multiplication and division; examine where each model may be situated in a learning progression; and analyze student work using these models; recognize and apply a variety of models for division and investigate aspects of a student-centered classroom using several of these methods; use your newly acquired knowledge of a particular division model and/or method by applying it in a teaching situation.

15 Renewal Units

Enrollment opens – November 11, 2018

# STREAM Online Math Courses

Algebraic Thinking (K-5)

JULY 9 – JULY 27

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 June 18, 2018 and close on July 9, 2018.

Algebraic Thinking (6-7)

JULY 9 – JULY 27

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 June 18, 2018 and close on July 9, 2018.

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

JULY 9 – JULY 27

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 the8th 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 June 18, 2018 and close on July 9, 2018.

Functions as Objects (HS)

JULY 9 – JULY 27

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 June 18, 2018 and close on July 9, 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.