# Calculus Area Between Curves Introduction Worksheet Task or Station Cards

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1. Applications to Integration Bundle of Activities for Area and Area Between Curves for AP Calculus AB, AP Calculus BC, and College Calculus 2.Because curriculum and textbooks vary so much I have divided this unit by topic as opposed to chapters in some textbooks. This way you will have all the topics
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2. Calculus Bundle of Activities for Second Semester Units 4 - 6 Calculus CurriculumWhat could be better than to teach a great lesson and follow up with an engaging, reinforcing activity? To compliment my Calculus Activity Bundle for 1st semester, I have bundled 33 resources below to help you teach an
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Calculus Area Between Curves Introduction: Sketching and Set Ups

Before students even start determining the area between curves by integrating, they need help setting up the problems. This set of 16 problems has students analyze the problems, sketch the graph, and set up the integral to determine the area. Solving is optional and can be saved for a later date.

In most problems students will have to find the points of intersection between curves. Some problems are given as functions of y. There are three problems with trig functions.

Sketching is done in predetermined windows, so that a standard 10 by 10 window on a graphing calculator will have to be adjusted for optimum viewing of the area. This will let students view the functions in the best window to see the area between the curves with the given restrictions.

Answer keys are included as well as two blanks for you to use for problems you may want to emphasize in class. Answers to the integration problems are also included.
The format is a worksheet, but can easily be cut up to create Task or Station Cards.

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©2017 Joan Kessler (distancemath.com™). Please note - this resource is for use by one teacher only. Colleagues must purchase additional licenses or you may purchase licenses for them at a discount. Note: You may not upload this resource to the Internet in any form.

updated 3-2-18
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