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.

Concepts

maximize area, maximums, polynomial functions

Show More Show Less

Additional Tags

math

Show More Show Less

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