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# Learning Exercise

 Material: Riemann Sum Applet Submitted by: Mary Taravella on Jun 13, 2008 Date Last Modified: Jun 13, 2008 Title: Riemann Sums 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. Type of Task: Group, Individual, Supervised Time Required 40 minutes Topics: Calculus: Riemann Sum Course: Calculus Audience: High School Categories: Prerequisites Skills: 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 Technical Notes: Each student needs access to a computer. If there are not enough computers per student then students may work in groups. Text of Learning 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. Additional Information URL: 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.
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