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Learning Exercise

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
Material:
Riemann Sum Applet
Date last modified:
June 13, 2008
Created by:
Mary Taravella
License:
creative-commons creative-commons by
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Riemann Sum Applet

Riemann Sum Applet

This applet explores Riemann sums including left endpoint, right endpoint, midpoint, inscribed rectangle, circumscribed... see more

Material Type:
Simulation
Author:
David Eck
User Rating:
5 stars

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.

Disciplines

Audience

Technical Notes

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

Requirements

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

Topics

Calculus: Riemann Sum

Type of Task

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

Assessment

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