Volumes of Revolution

Primary link:

https://apcentral.collegeboard.org/pdf/volumes-solids-revolution-calculus-cm.pdf?course=ap-calculus-bc

Volumes of Revolution:

http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx

example 2

Area between curves: --

http://tutorial.math.lamar.edu/Classes/CalcI/AreaBetweenCurves.aspx -- Note that the second picture is MUCH easier in terms of "y." See example 6 & 7.

https://www.khanacademy.org/math/calculus-home/derivative-applications-calc/rectilinear-motion-diff-calc/v/total-distance-traveled-by-a-particle -- After watching video consider particle's displacement.

https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/e/particle-motion

Amazing Review handout:

https://www.grantbulldogs.org/cms/lib/IL01904683/Centricity/Domain/130/Review%20TEST%203%20KEY.pdf

Particularly focus on: 1,2,3,5,6,7,8

Select & Complete 5 of the following:

Reference document

22 page unit from AP CENTRAL for volumes of revolution.

http://apcentral.collegeboard.com/apc/public/repository/Volumes_of_Solids_of_Revolution_Calculus_CM.pdf

Khan Academy -- rotate around x=-2

https://www.khanacademy.org/math/calculus/solid_revolution_topic/disc-method/v/disc-method-rotating-around-vertical-line

1) Consider the curved presented on

http://curvebank.calstatela.edu/volrev/volrev.htm

and view them in animation. Write 3 sentences describing how a calculus is used to find the volume of a solid.

2) Consider the curves presented on

http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx

Write 3 sentences describing how subtracting two different curves forms the volume between them.

3) Select and watch at least 4 videos from Khan academy. Take notes on at least one of the videos.

https://www.khanacademy.org/math/calculus/solid_revolution_topic

4) Select, complete and check at least 4 of these problems.

http://tutorial.math.lamar.edu/Problems/CalcI/VolumeWithRings.aspx

5) Summarize the concept in

http://www.education.com/study-help/article/disc-method/

(basic presentation).

6) Take notes on forming a solid graphically.

http://www.maplesoft.com/teachingconcepts/detail.aspx?cid=12

7) Take the quiz and correct your work.

http://www.shmoop.com/area-volume-arc-length/quiz-2-true-false.html

8) Take the quiz and correct your work.

http://www.math.dartmouth.edu/~klbooksite/4.08/408.html

9) Teach reviews a quiz.

http://www.youtube.com/watch?v=eRVt8fto1Gc

Take notes on one question.

10) Select, complete and check at least 4 of these problems.

http://tutorial.math.lamar.edu/Problems/CalcI/VolumeWithCylinder.aspx