Access Point #: MAFS.912.F-LE.1.AP.3a (Archived Access Point)


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Compare graphs of linear, exponential, and quadratic growth graphed on the same coordinate plane.

Clarifications:

Essential Understandings

Concrete:

  • Make predictions based upon data presented in a line graph or table.
  • Indicate the point on a line that crosses the y-axis.
  • Describe the rate of change qualitatively (e.g., steep = rapid rate of change).
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Representation:
  • Interpret/define a line graph with coordinates for multiple points.
  • Interpret/define an exponential function graph for multiple points.
  • Understand the coordinate plane.
  • Use patterns to extend graphs. (e.g., if I eat 10 candies per day I will gain 1 pound per week. How many pounds will I gain in 5 weeks?)
  • Identify coordinates (points) on a graph.
  • Understand the following concepts and vocabulary: x-axis, y-axis, x-intercept, y-intercept, line, rise, fall, slope, rate of change.

Number: MAFS.912.F-LE.1.AP.3a 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

Name Description
MAFS.912.F-LE.1.3: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.



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