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Viewers discover how to apply derivatives to determine dimensions that maximize area with a video that presents a problem that asks for the maximum area of a rectangle inscribed in a circle with radius (r). The instructor demonstrates the solution and then interprets the results.
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Instructional Ideas
- Use manipulatives that allow learners to explore the relationship between the radius of a circle and the dimensions of a rectangle
- Pause the video after the instructor has created the diagram to ask for suggestions for the next step
Classroom Considerations
- Requires an understanding of derivatives and Pythagorean Theorem
- This video is hosted on YouTube
Pros
- Uses color to highlight important relationships for viewers
- Instructor illustrates the results in a graphical representation after solving the problem
Cons
- None