Lesson Plan: Riemann Sums Mathematics • 12th Grade

This lesson plan includes the objectives and exclusions of the lesson teaching students how to approximate the area under the curve of a function using right, left, and midpoint Riemann sums.


Students will be able to

  • use rectangles to approximate areas under curves,
  • understand the difference between right, left, and midpoint Riemann sums,
  • recognize the circumstances under which right or left Riemann sums underestimate or overestimate the area under a curve.


Students will not cover

  • the definite integral as a limit of Riemann sums,
  • evaluating definite integrals.

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