Mathematics (2019) Grade(s): 8

MA19.8.16

Construct a function to model a linear relationship between two variables.

Unpacked Content

Knowledge

Students know:
  • that the rate of change of a function is the ratio of change in the output to the change in the input.
  • how to find the rate of change/slope as well as the initial value/y-intercept.

Skills

Students are able to:
  • construct the graph of a linear function.
  • Identify the slope and y-intercept of functions in different contexts.

Understanding

Students understand that:
  • terms such as slope and y-intercept describe a graphical representation of a linear function and correlate their meaning to the rate of change and initial value, where the input is 0.
  • Using the units from a context appropriately is needed to make their description of rate of change and initial value accurate.

Vocabulary

  • Function
  • Linear
  • Non-linear
  • Slope
  • y-intercept
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