MA19.A2.19

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.19

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Extend to polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.

Unpacked Content

Knowledge

Students know:

  • Techniques for graphing.
  • Techniques for finding a rate of change over an interval on a table or graph.
  • Techniques for estimating a rate of change over an interval on a graph.

Skills

Students are able to:

  • Calculate rate of change over an interval on a table or graph.
  • Estimate a rate of change over an interval on a graph.

Understanding

Students understand that:

  • The average provides information on the overall changes within an interval, not the details within the interval (an average of the endpoints of an interval does not tell you the significant features within the interval).

Vocabulary

  • Average rate of change
  • Specified interval
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