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

Use technology to solve exponential models using logarithms with base 10 or e.
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 or logarithmic 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 functions.

    Graph of a function.
Representation:
  • Understand that a calculator log button uses base 10.
  • Understand that a calculator ln button uses base e.
  • Use a tool (graphing calculator, scientific calculator, etc..) to solve for exponent. For example: 69.18 = begin mathsize 12px style 10 to the power of x end style, log 69.18 = x. 1.84 = x
  • Understand that the exponent represents a value on the x axis and the answers represent values on the y axis for an exponential function base 10 or e.

    Graph explaining •	Understand that the exponent represents a value on the x axis and the answers represent values on the y axis for an exponential function base 10 or e.
  • Use a tool (graphing calculator, scientific calculator, etc..) to solve for exponent.
    For example: begin mathsize 12px style 4 space equals space e to the power of x comma space ln space 4 space equals space x. end style
    x=1.386
General Information
Number: MAFS.912.F-LE.1.AP.4b
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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