Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.24

Distinguish between situations that can be modeled with linear functions and those that can be modeled with exponential functions.

Unpacked Content

Knowledge

Students know:
  • Key components of linear and exponential functions.
  • Properties of operations and equality

Skills

Students are able to:
  • Accurately determine relationships of data from a contextual situation to determine if the situation is one in which one quantity changes at a constant rate per unit interval relative to another (linear).
  • Accurately determine relationships of data from a contextual situation to determine if the situation is one in which one quantity grows or decays by a constant percent rate per unit interval relative to another (exponential).

Understanding

Students understand that:
  • Linear functions have a constant value added per unit interval, and exponential functions have a constant value multiplied per unit interval.
  • Distinguishing key features of and categorizing functions facilitates mathematical modeling and aids in problem resolution.

Vocabulary

  • Linear functions
  • Exponential functions
  • Constant rate of change
  • Constant percent rate of change
  • Intervals
  • Percentage of growth
  • Percentage of decay
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