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Equations in the Real World

**Students will create and solve equations with variables on one side before comparing the equation with another to determine at what rate they will be equal. **

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Rise Over Run! Let’s Have Fun!

Students will collaboratively practice identifying and graphing slope and y-intercept.

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Four Representations of Linear Relationships

Given one representation of a linear relationship, students will create a poster displaying the other three representations of linear relationships.

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Concert Trip to Red Rocks Amphitheatre in Colorado

**Students will evaluate and interpret data from both tabular and graphical forms to create a linear equation in either the form of direct variation (y=kx) or slope-intercept form (y = mx + b). Students will then use their findings to interpret the meaning of both slope and y-intercept using a real-world relationship in word form.**

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Can We Get There?

Students will calculate the rate of change and *y*-intercept from a real-world problem represented in a graph, a table, and/or an equation. They will then display and present their findings to the class.

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No Interest If Paid in Full: How Much Do I Owe?

Students will write a linear equation from a real-world situation, identify the components of the equation, and interpret their meanings in the problem’s context.

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Which One Doesn't Belong? Proportional vs Non-Proportional Relationships

**Students will make connections as they examine proportional and non-proportional relationships represented in functions including tables, equations, graphs, and verbal descriptions and think critically to determine which one does not belong in a set and why.**

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Balancing Act

Given a prompt, students will solve a multi-step equation using concrete and/or pictorial models.

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19 OnTRACK Grade 7 Math: Proportionality

Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.

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4 OnTRACK Grade 8 Math: Number and Operations

Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.

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11 OnTRACK Grade 8 Math: Proportionality

Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.

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9 OnTRACK Grade 8 Math: Expressions, Equations, and Relationships

Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.

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5 OnTRACK Grade 8 Math: Two-Dimensional Shapes, Measurement, and Data

Students will learn to develop transformational geometry concepts and to use statistical procedures to describe data.

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Breakout with Linear Relationships

Through a collaborative breakout station format, students will access prior knowledge to develop a deeper understanding of the relationships of slope through proportional relationships represented by unit rate and linear non-proportional relationships. A variety of representations will be practiced through scenarios, tables, graphs, and equations.

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15 Teacher2Teacher Math Video Series

Explore the Teacher2Teacher math video series featuring key topics in mathematics instruction. Bookmark and return to this resource. New videos will be added throughout the year.