MA19.A1.27

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

MA19.A1.27

Interpret the parameters of functions in terms of a context. Extend from linear functions, written in the form $mx + b$, to exponential functions, written in the form $ab^x$.

Unpacked Content

Knowledge

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

Skills

Students are able to:
  • Communicate the meaning of defining values (parameters and variables) in functions used to model contextual situations in terms of the original context.

Understanding

Students understand that:
  • Sense making in mathematics requires that meaning is attached to every value in a mathematical expression.

Vocabulary

  • Parameters

COS Examples

Example: If the function $V(t) = 19885(0.75)^t$ describes the value of a car after it has been owned for $t$ years, 19885 represents the purchase price of the car when $t = 0$, and 0.75 represents the annual rate at which its value decreases.

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