Access Point #: MAFS.912.F-LE.1.AP.4aArchived Access Point

Select the logarithm that models the function in the form begin mathsize 12px style a b to the power of c t end exponent space equals space d end style
Clarifications:

Essential Understandings

Concrete:

  • Make predictions based upon data presented in a line graph or table.
  • Make predictions based on data represented in an exponential graph or table.
  • Indicate the point on a graph that crosses the y-axis.
  • Compare two rates of change on a graph.
  • Compare two rates of change in a display.
  • Describe the rate of change qualitatively (e.g., steep = rapid rate of change).
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  • Use tools to compare models of functions with standard logarithmic models.
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  • Use a template to compare function models with standard logarithmic functions. For example: Use the graph of a function to determine which of the functions below best models the given function.

    Graphs of inverse functions.

    Graph of inverse function.
Representation:
  • Understand the concepts and vocabulary: function, exponent, logarithm, growth, decay, base, model, graph.
  • Understand that a logarithm ask the question “What exponent produced this answer?” The base of the exponent becomes the base of the log. The answer to the exponential function becomes a part of the log. The exponent becomes the answer to the logarithmic function.

    Image to help understand that a logarithm ask the question 'What exponent produced this answer?'
  • Use a template to create a function model for a given logarithm.

    Image for create a function model given for a logarithm.
General Information
Number: MAFS.912.F-LE.1.AP.4a
Category: Access Points
Date Adopted or Revised: 06/14
Cluster: Construct and compare linear, quadratic, and exponential models and solve problems. (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

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200330: Algebra 2
1200340: Algebra 2 Honors
1207310: Liberal Arts Mathematics
1201310: Analysis of Functions
1200500: Advanced Algebra with Financial Applications
1200335: Algebra 2 for Credit Recovery
1201315: Analysis of Functions Honors
7912095: Access Algebra 2
1200387: Mathematics for Data and Financial Literacy

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