EE.2.5

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.

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Formative Assessments
Formative Assessments
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CPALMS: Students are asked to identify, describe and compare the slopes of two proportional relationships given the graph of one and the equation of the other.

Compare Slopes

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CPALMS: Students are asked to graph a proportional relationship, given a table of values, and find and interpret the slope.

Interpreting Slope

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CPALMS: Students are given a graph of a proportional relationship and asked to determine the unit rate of the relationship and compare it to the slope of the graph.

Proportional Paint

Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This manipulative will help students to explore the world of lines. Students can investigate the relationships between linear equations, slope, and graphs of lines.

Graphing Lines

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Assessment Questions
Assessment Questions
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Equation Editor 1
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Hook/Performance Tasks
Hook/Performance Tasks
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Illustrative Mathematics: This task has 4 parts. Students are to determine the cost per pound, pounds per a fixed amount, and draw a graph illustrating the relationship between pounds of coffee and total cost, then identify the slope with the unit rate.

Coffee by the Pound

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Illustrative Mathematics: The purpose of this task is to show how the ideas in the RP and EE domains in 6th and 7th grade mature in 8th grade. The different parts to this task allow for extensions of work from prior grades.

Sore Throats, Variation 2

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Illustrative Mathematics: This task provides the opportunity for students to reason about graphs, slopes, and rates without having a scale on the axes or an equation to represent the graphs. Two solutions are explained.

Comparing Speeds in Graphs and Equations

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Illustrative Mathematics: Students transition from 6th and 7th grades with proportional relationships to linear functions in 8th grade. This task provides an opportunity to take the step from unit rates in a proportional relationship to the rate of change of a linear relationship.

Stuffing Envelopes

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Illustrative Mathematics: This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Comparing two approaches in discussion may help some students make sense of slope.

Peaches and Plums

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Illustrative Mathematics: This task is divided into 4 parts where students use real-world context to compare a table to a graph (they construct from given info). Students can reason proporionally without computing the unit rate. They can compare the slopes of two graphs.

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