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Instructional Video

Finding The Area Under a Curve Using Rectangles

Curated and Reviewed by Lesson Planet

Here's an AP Calculus video that provides a discussion on determining an approximate for the area under a curve by calculating the sum of areas of rectangles that is smaller than the area and by finding the sum of areas of rectangles that is larger. The example uses only four rectangles to develop the concept.

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Concepts
integrals, area under a curve, area of rectangles, estimation, definite integrals
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Additional Tags
math
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Instructional Ideas
  • Have the class determine the area under the curve with more rectangles using the same method
  • Use the video to begin the introduction to definite integrals
Classroom Considerations
  • Individuals should be able to determine areas and evaluate functions
  • This video is hosted on YouTube
Pros
  • The presentation uses different colors to highlight aspects of the problem
  • The presenter writes out notes explaining what has been done
Cons
  • None