Curated OER
AP Calculus Practice Exam: BC Version - Part A
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
Curated OER
Yoplait with Areas and Volumes
In this areas and volumes activity, students find the area of truncated cones and elliptical cylinders. They find the area by using one of three methods: the disk method, the shell method, and using geometry. This one-page activity...
Curated OER
Dorothy and Kansas: A Volume Problem
This worksheet contains 1 Algebra II scenario where students must determine the volume of a tornado, Kansas, and the space needed to take all of Kansas to OZ. Full explanation with equations are included.
Curated OER
Easy Worksheet: Maximizing Volume
In this maximizing volume worksheet, students solve 4 short answer problems. Students find the maximum area of a rectangle, volume of a box, and height of an object. Students determine the time at which the object in motion reaches its...
Curated OER
Calculus Exam
In In this calculus instructional activity, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the instructional activity.
Flipped Math
Calculus AB/BC - Introduction to Optimization Problems
Let's get the equation set. Pupils see the importance of setting up an one-variable equation in the first of two lessons on optimization problems. The presenter works four different types of problems before individuals use the included...
Curated OER
Minimize Surface Area of a Cylinder Given the Volume
In this cylinder worksheet, learners minimize the surface area given a set volume. Students supply the height and radius of the can with the smallest surface area.
Curated OER
AP Calculus Test Chapter 7
In this calculus worksheet, 12th graders determine the areas bounded by curves and the volume of the solids of revolution. The two page worksheet contains a combination of ten multiple choice and free response questions and is to be used...
Curated OER
Calculus Practice BC
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
Curated OER
Volumes of Solids and Revolution
Students find the volume under a curve using the washer method. In this calculus lesson, students investigate solids and calculate the volume of an object rotation using the washer method. They investigate solids that rotate around x and...
Curated OER
AP Calculus Practice Exam
In this calculus worksheet, learners calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
Curated OER
AP Calculus Practice Exam
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Curated OER
AP Calculus Practice Exam BC Version: Part B
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
College Board
Try This! Calculus Teaching Tips
It's important to spice up your lessons. An online article discusses teaching strategies for AP® Calculus. In-class activities include matching games, placemats, multiple choice questions, scripted discussion, involuntary discussion,...
EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
College Board
2006 AP® Calculus BC Free-Response Questions Form B
Go a little deeper. Learners use the released 2006 AP® Calculus BC free-response questions to review for the BC test, which covers content from Calculus AB and Calculus BC. Topics include volumes of revolution, particle motion,...
College Board
1998 AP® Calculus AB Free-Response Questions
Take a peek into the exam. Released items from the Calculus AB exam provide pupils insight into how questions appear on the exam. The six questions range from finding the area under a curve and the volume of the revolution to working...
Curated OER
The Calculus Whiz Who Owned a Box Company
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Curated OER
Mini Exam on Calculus
For this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
Curated OER
Calculus Review Worksheet
In order to review calculus skills, mathematicians read story problems regarding area, change of rate, volume, and distance. They determine rates per minute, per second, and miles per hour from given information. This two-page...
Curated OER
Determining Maximum Volume of an Open Box
In this geometry worksheet, 10th graders calculate the maximum volume of a box constructed from a sheet of paper. The one page worksheet contains one problem with step-by-step calculator directions. Solution is not provided.
CK-12 Foundation
Absolute Extrema and Optimization: Building the Biggest Box
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
CK-12 Foundation
Linear, Quadratic, and Cubic Models: The Box Model
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.