Exponential Growth and Decay

Growth vs. Decay

Factors, Rates & Initial Values

Equations from Context

Equations from a Table

Students will be able to:

·      Identify whether a graph represents exponential growth or decay.

·      Identify whether an equation represents exponential growth or decay.  The base may be in the form of a whole number, decimal, proper and improper fraction.

Students will be able to:

·     Identify the growth/decay factor and the growth/decay rate given an exponential growth or decay equation.  The factor may be in the form of a whole number, decimal, proper and improper fraction.

·     Identify the initial value from an exponential growth or decay equation.

·     Convert a factor to a rate

·     Convert a decimal to a percent.

Students will be able to:

·      Identify an initial value in context.

·      Convert a percent to a decimal. (rate)

·      Convert a rate to a factor.

·      Write exponential growth or decay models using the initial value and factor.

·      Use an exponential equation to make predictions when given an input or output.

Students will be able to:

·     Identify whether a given table represents an exponential growth or decay model.

·     Calculate the growth/decay factor by dividing an output by the previous output.

·     Calculate differences in consecutive outputs if the factor is not apparent.

·     Extend a table, using the growth/decay factor, to find the initial value.

·     Use the initial value and factor to write an exponential equation.

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