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## Algebraic Thinking (K-5)

This 3-week course 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. To register for…

Find out more »## Algebraic Thinking (6-7)

This 3-week course 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…

Find out more »## Straight Talk: Linearity (7-9)

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…

Find out more »## Statistics: Inferences (HS)

Statistics and Probability do not appear as stand-alone topics in Montana’s Common Core State 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. Specific goals and activities include for this 3-week module include: Understand how key concepts in statistics and probability develop along a learning…

Find out more »## All About Fractions (3-5)

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 activites 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. To register for this course, go to the Teacher Learning Hub. Registration will open on March…

Find out more »## Ratio and Proportion (6-7)

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. To register for this course, go to the Teacher Learning…

Find out more »## It’s All Right: Pythagoras (7-9)

This 3-week module uncovers the mysteries of Pythagoras and the famous theorem named for him. We will investigate how the Pythagorean Theorem provides a vital foundation in 8th grade that progresses into high school geometry. After briefly exploring the history of Pythagoras and his discoveries, we will examine different proofs of the theorem and its converse and discover how right triangles help us understand irrational numbers and distance. Specific goals and activities include the following: Use the Pythagorean Theorem to…

Find out more »## Functions as Objects (HS)

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…

Find out more »## STEM-Centric Mathematics (K-8)

This 4-week course is designed for teachers grades K-8. During this module you will examine learning processes in Mathematics, Science, and Engineering with a focus on foundational ideas that promote mathematical understanding. Specific goals and activities include the following: Develop an understanding of key attributes for an effective STEM learning environment Analyze and experience STEM-centric lesson components Examine and consider STEM resources Design STEM lessons aligned to the MCCSM To register for this course, go to the Teacher Learning Hub.…

Find out more »## Number Systems and Operations (K-3)

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: Recognize the differences and different uses of strategies vs. algorithms Examine learning progressions related to Number and Operations Incorporate models for active learning Develop precise mathematics vocabulary To register for this course, go to the Teacher Learning Hub. Registration will open on April 3,…

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