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Search > Learning Exercise Results > Riemann Sums

Learning Exercise: Riemann Sums

Riemann Sums
Students will use a specific JCM applet and their knowledge of Riemann Sums to determine area underneath a curve. They will use Left Endpoint, Midpoint, and Right Endpoint methods.
Course: Calculus


Submitted by:
Mary Taravella
Date Last Modified:
June 13, 2008


Students will be shown the JCM Applet and how to use it. There will be a couple examples completed with the class. (10 minutes) Each student will be given a worksheet with multiple examples that correspond with the applet. They will complete the worksheet in class and/or for homework, depending on time.
Additional Information:



  • High School


Calculus: Riemann Sum


Pre-Calculus, knowledge of graphing, basic knowledge of Reimann Sums

Learning Objectives

Students will be able to correctly determine the area under a curve (on a graph of a function) using Riemann Sums and the JCM Applet available on

Type of Task

  • Group
  • Individual
  • Supervised


Students will hand in the in-class worksheet for a grade. They will also write a summary about their experiences with the applet.

Technical Notes

Each student needs access to a computer. If there are not enough computers per student then students may work in groups.