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Describe the rate of change of a function using words.
Clarifications:

Essential Understandings

Concrete:

  • Manipulate lines on a graph to show steepness.
  • Manipulate lines on a graph to show rise or fall.
  • Manipulate lines on a graph to show positive or negative.
  • Identify the concepts of steepness, rise, and fall in real-life contexts (e.g., ramps, roofline, stairs, escalators).
  • Define rate of change (describes the average rate at which one quantity is changing with respect to something else changing).
  • Identify common rate of change
    º Miles per gallon – calculated by dividing the number of miles by the number of gallons used.
    º Cost per kilowatt – calculated by dividing the cost of the electricity by the number of kilowatts used.
  • Miles per hour.
Representation:
  • Understand related vocabulary (domain, range, rise, fall, steepness, increase, decrease, positive, negative).
  • Identify the concepts of steepness, rise, and fall in visual images (e.g., pictures of ramps, roofline, stairs, escalators).

Access Point #: MAFS.912.F-IF.2.AP.6a (Archived Access Point)
Access Point Information
Number:
MAFS.912.F-IF.2.AP.6a
Category:
Access Points
Date Adopted or Revised:
07/14
Cluster:
Interpret functions that arise in applications in terms of the context. (Algebra 1 - Major Cluster) (Algebra 2 - 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.