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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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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
Pros
- Shows how topic can be useful in real-world contexts
- Thorough explanations and descriptions make the concept clear
Cons
- None