Algebra II Module 3, Topic A, Lesson 6

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Student Outcomes

  • Students write an exponential function that represents the amount of water in a tank after t seconds if the height of the water doubles every 10 seconds.
  • Students discover Euler’s number e by numerically approaching the constant for which the height of water in a tank equals the rate of change of the height of the water in the tank.
  • Students calculate the average rate of change of a function.

Water Tank Demo Video
The following are links to the instructional video used in this lesson:

This video can also be downloaded from the "Downloadable Resources" section below.

Common Core Learning Standards

CCLS State Standard
N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the...
F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a...
F.BF.1.a Determine an explicit expression, a recursive process, or steps for calculation from a context.

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