Trapezoidal and Midpoint Approximations: Area of a Skirt

This Trapezoidal and Midpoint Approximations: Area of a Skirt interactive also includes:

When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use the method to estimate the area under other function curves.

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Instructional Ideas

  • Compare the approximations of the area under the curve using the trapezoids and left and right rectangles
Classroom Considerations

  • Individuals should know how to calculate integrals
  • Must sign up for a free login account to access the interactive
Pros

  • Allows the user to see the correct answer
  • The additional material includes more examples and problems
Cons

  • None