Access Point #: MAFS.8.SP.1.AP.3a (Archived Access Point)


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Interpret the slope and the y-intercept of a line in the context of data plotted from a real-world situation.

Clarifications:

Essential Understandings

Concrete:

  • Identify the slope (m) in an equation using a formula (i.e., y = mx + b).
  • Identify the y-intercept (b) using a formula (i.e., y = mx + b).
Representation:
  • Understand the following concepts and vocabulary: slope (m), y-intercept (b).
  • Match or select an appropriate meaning of the slope (m) and y-intercept (b) for the context of the problem.
  • Identify the slope and y-intercept within the context of a real-world situation. For example: In 1998, Linda purchased a house for $144,000 (y-intercept). In 2009 the house was worth $245,000. Find the average annual rate of change (slope) in dollars per year in the value of the house. Round your answer to the nearest dollar.

Number: MAFS.8.SP.1.AP.3a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Investigate patterns of association in bivariate data. (Supporting 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.SP.1.3: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.



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