Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the instructional activity is the discovery of Euler's number. 

Concepts

euler's number, euler, exponential functions, rate of change

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Additional Tags

math

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Instructional Ideas

• Group pupils into pairs for the lesson allowing the instructor to monitor progress more efficiently

Classroom Considerations

• Builds on previous lessons in the module
• Learners need to have an intuitive understanding of limits of a sequence and average rates of a function
• The sixth installment of a 35-part module.

Pros

• Scholars investigate and discover Euler's number rather than being told its value and significance
• Includes links to both Vimeo and YouTube videos modeling the classwork activity

Cons

• None

Common Core

HSN-RN.A.1 HSF-IF.B.6 HSF-BF.A.1.a MP4 MP8