Access Point #: MAFS.8.EE.2.AP.5a (Archived Access Point)


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Define rise/run (slope) for linear equations plotted on a coordinate plane.

Clarifications:

Essential Understandings

Concrete:

  • Identify parts of a line graph.
  • Identify the two coordinates of a point on a line graph.
  • Count the distance up/down between two points on the coordinate plane (rise).
  • Count the distance to the right, between two points on the coordinate plane (run).
  • Use a template (rise/run) to determine the slope.
  • Recognize a relationship between two points on a graph.
  • Examine the values of the x variable or y variable to look for a pattern.
Representation:
  • Understand the following concepts, vocabulary, and symbols: coordinates, ordered pairs (x, y), intercept, grid, axis, point, proportion, line, slope.
  • Graph a series of coordinates on a graph.
  • Identify given coordinates (x, y) as a point on a graph.
  • Use subtraction to determine the change in y and the change in x (begin mathsize 12px style m space equals space fraction numerator y subscript 2 space minus space y subscript 1 over denominator x subscript 2 space minus space x subscript 1 end fraction end style).

Number: MAFS.8.EE.2.AP.5a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Understand the connections between proportional relationships, lines, and linear equations. (Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.8.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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