MA19.PRE.25

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.25

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 from polynomial, exponential, logarithmic, and radical to rational and all trigonometric 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 average rate of change on a specified interval when given an equation or table ofa polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.
  • Interpret the average rate of change of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions in the context of a problem when given symbolic representations, tables, graphs, or contextual situations.
  • Estimate the average rate of change for a specific interval of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions functions when given agraph.

Understanding

Students understand that:
  • The rate of change is the ratio of the change between the dependent and independent variable.

Vocabulary

  • Average rate of change
  • Specified interval
  • Difference Quotient

Aligned Learning Resources

Instantaneous Rates of Change
Average and Instantaneous Rate of Change Interactive
China Syndrome
Average and Instantaneous Rates of Change Practice
Exponential Growth and Decay
Equations Representing Growth and Decay: Rice Legend Interactive
The Exponential Function Video
Differential Equations Representing Growth and Decay Practice
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