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Direct Variation: Calculating Constant of Proportionality from Tables

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HIT THE STANDARDS
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Grade Levels
6th - 10th, Higher Education, Adult Education, Homeschool
Standards
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Description

Students will calculate the constant of proportionality k (unit rate or slope) from 8 different tables of values representing different situations. Once k has been found, students must write the equations that represents the situation in the form y = kx. One example included.

Hits the Common Core Standards 8.EE.B.5, 7.RP.A.2B, 6.RP.A.1, 6.RP.A.3

and TEKS 7.4A, 7.4C, 8.4B, 8.4C, 8.5A, 8.5E.

Save $$$ and time by downloading the complete 8th Grade Math Unit10 Making Connections (End of Year Activities) (STAAR review) 44%OFF that includes this and other great activities

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Total Pages
1 page
Answer Key
Included
Teaching Duration
30 minutes
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Standards

to see state-specific standards (only available in the US).
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
Recognize and represent proportional relationships between quantities.
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

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