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


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In a linear situation using graphs or numbers, predict the change in rate based on a given change in one variable (e.g., If I have been adding sugar at a rate of 1T per cup of water, what happens to my rate if I switch to 2T of sugar for every cup of water?).

Clarifications:

Essential Understandings

Concrete:

  • Model rate of change using tools or manipulatives.
  • Model increasing/decreasing rate of change in a problem using tools or manipulatives.
  • Model rate of change using a graph.
  • Model increasing/decreasing rate of change in a problem using a graph.
  • Match the change in the variable to the change in the rate given the situation.
Representation:
  • Identify the rate of change in a problem.
  • Compare and contrast two rates of change on a graph.
  • Compare and contrast two rates of change in a display.
  • Understand the following concepts and vocabulary: rate of change, variable, increase, decrease, linear.

Number: MAFS.912.F-LE.1.AP.1b 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.1.1: Distinguish between situations that can be modeled with linear functions and with exponential functions. ★
  1. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
  2. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
  3. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.



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