Instructional Video

What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9

Curated and Reviewed by Lesson Planet

It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.

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Additional Tags
Instructional Ideas
  • Use the video to introduce average value of a function
Classroom Considerations
  • Scholars should be familiar with the slope formula
  • Builds on prior knowledge from the series
  • Ninth installment of an 11-part YouTube playlist
  • This video is hosted on YouTube
  • Shows how topic can be useful in real-world contexts
  • Thorough explanations and descriptions make the concept clear
  • None