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Learning Goal

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Graph proportional relationships, interpreting the unit rate as the slope

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8.EE.B.5

**8.EE.B.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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8.EE.B.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.

What you'll learn

  1. Graph a proportional relationship from a table, equation, or verbal description, producing a straight line through the origin
  2. Identify the unit rate of a proportional relationship and explain why it equals the slope of the corresponding graph
  3. Calculate slope as rise over run from a graph and connect this calculation to the unit rate in the original context
  4. Compare two proportional relationships given in different representations (table, graph, equation, or verbal description) and determine which has the greater rate
  5. Interpret the slope of a proportional relationship graph in context, using appropriate units (e.g., "miles per hour," "dollars per pound")

Slides

Step through the lesson, or watch it as a narrated video • 2 slide decks

1

Graphing proportional relationships and slope

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2

Comparing and interpreting rates

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Practice

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Animated Videos

Short animated explanations of the key idea • 3 animated videos

Graphing a Proportional Relationship: A Line Through the Origin

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Slope Is the Unit Rate

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Comparing Proportional Relationships in Different Forms

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