Area Sums: Estimation with Rectangles

This Area Sums: Estimation with Rectangles interactive also includes:

The more rectangles, the better the estimate. Using the interactive, pupils explore estimating the area under a curve using left-hand sums. Learners respond to challenge questions on how to get better estimates using the same technique.

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Instructional Ideas
  • Have class members draw concave up and down curves and create left-hand and right-hand sums using different colors
Classroom Considerations
  • The class should be familiar with summation notation
  • Requires users to sign up for a free account before accessing the interactive
  • The additional material provides more examples
  • Allows students to change the number of rectangles to visualize what is happening
  • None