Access Point #: MAFS.7.RP.1.AP.2b (Archived Access Point)


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Identify lines plotted on a coordinate plane that represent a proportional relationship.

Clarifications:

Essential Understandings

Concrete:

  • Recognize a line on a graph.
  • Identify if the line is going up or going down.
  • Given 2 points on the line, count the change going up and down between the 2 points.
  • Given 2 points on the line, count the change going left and right between the 2 points.
  • Read a line graph with manipulatives to determine if a relationship exist.
Representation:
  • Identify points on a graph in relationship to their situation.
  • Match a line with its proportional relationship.

Number: MAFS.7.RP.1.AP.2b Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. (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.7.RP.1.2: Recognize and represent proportional relationships between quantities.
  1. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
  2. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
  3. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
  4. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.





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