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# Search>Learning Exercise Results> Riemann Sums

## Learning Exercise: Riemann Sums

Title:
Riemann Sums
Material:
Description:
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
June 13, 2008

### Exercise

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.

• High School

### Topics

Calculus: Riemann Sum

### Requirements

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 http://www.calvin.edu/~rpruim/courses/m161/F01/java/RiemannSums.shtml

• Group
• Individual
• Supervised

### Assessment

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.
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