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July 2018
Free

Algebraic Thinking (K-5)

July 9 - July 27

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…

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Free

Algebraic Thinking (6-7)

July 9 - July 27

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…

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Free

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 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…

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Free

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…

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