Access Point #: MAFS.912.F-IF.3.AP.8b (Archived Access Point)


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Describe the properties of a function (e.g., rate of change, maximum, minimum, etc.).

Clarifications:

Essential Understandings

Concrete:

  • Point to the highest point on the graph as the maximum.
  • Point to the lowest point on a graph as the minimum.
  • Identify rise/run (rate of change).
Representation:
  • Understand the following related vocabulary slope, rate of change, y-intercept, rise, run, high, low, maximum and minimum.
  • Understand when y = mx + b that m = rate of change and b = y-intercept.
  • Understand the coordinate plane.

Number: MAFS.912.F-IF.3.AP.8b Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Analyze functions using different representations. (Algebra 1 - Supporting Cluster) (Algebra 2 - 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.912.F-IF.3.8: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
  1. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
  2. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = , y = , y = , y = , and classify them as representing exponential growth or decay.



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