math through discovery

Tuesday, September 4, 2018


This set of Volume Matching Cards is made up of
• Eight Volume Problems
• Eight Graphs of the Region
• Eight Definite Integrals
• Eight Solutions

In the set of eight problems there are four cards where the volume is created by
revolving a region about a line and four cards where the volume is formed on a
region and all the cross sections perpendicular to the x-axis have a common shape.
Give each group of students 24 cards (eight volume problems, eight graphs, and eight definite integrals). Students should read the volume problem and find the matching graph that could be used to solve the problem. For each pair of problems and graphs they should then find the matching definite integral.
Students should then solve each of the eight problems. When they have solved the eight problems, distribute the eight solution cards so they can confirm their
solutions as they match their problem, graph, integral and solution cards.
This is a great activity if you are reviewing for a unit test on related rates or preparing for the final exam or for the AP exam.  It is appropriate for both AB and BC
Calculus classes.


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