Education Technology

Area Accumulation

Activity Overview

Students explore the integral of a periodic function both numerically and graphically in order to gain an understanding of area accumulation.

Key Steps

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    Students will numerically and graphically explore the integral using area accumulation.

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    Students will use the handheld to explore what happens to the integral of sin(x)dx for a fixed value of a. Students will make observations about the integral for x < a, a = x, and a < x.

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    In an extension to the activity, students will explore the kinematic relationship between the acceleration and the velocity of a moving object.