Euler’s Number, e

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 lesson plan is the discovery of Euler's number. 

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CCSS: Designed
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