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Virginia Standards of Learning Secondary AP Calculus:APC.15 The student will use integration techniques and appropriate integrals to model physical, biological, and economic situations. The emphasis will be on using the integral of a rate of change to give accumulated change or on using the method of setting up an approximating Riemann sum and representing its limit as a definite integral. Specific applications will include the area of a region; the volume of a solid with known cross-section; the average value of a function; and, the distance traveled by a particle along a line. *
* AP Calculus BC will include finding the area of a region (including a region bounded by polar curves) and finding the length of a curve (including a curve given in parametric form).
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Activity: This activity allows the user to find the volume and surface area of various functions as they are rotated around axes. This applet can be used to practice finding integrals using the disk and washer methods of calculating volume.
Activity: This activity allows the user to plot ordered pairs and parametric equations on the same coordinate plane. The applet is similar to GraphIt, but instead allows users to explore the parametric representation of a function.
Activity: This activity allows the user to explore the polar coordinate system. The applet is similar to GraphIt, but instead allows users to explore the representation of a function in the polar coordinate system.
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