Curated OER
Linear Functions
In this linear functions worksheet, students problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.
Curated OER
Radius, Diameter and Area
Young scholars identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
Curated OER
Math 150 - Differentiation Applications
In this differentiation worksheet, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.
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Worksheet 37
In this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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Worksheet 22
For this math worksheet, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.
Curated OER
Worksheet 16 Practice Exam 1
In this math worksheet, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.
Curated OER
Riemann Sums
In this calculus worksheet, students solve prolbem in which they estimate double integrals by using Riemann sums. The three page worksheet contains four questions. Answers are not included.
Curated OER
Worksheet #5, Concavity,
In this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
Curated OER
Max/Min Problems for Review
In this Algebra II/Pre-Calculus worksheet, students determine the points of inflections for various functions and use the answers to complete a riddle. The one page worksheet contains seven problems. Answers are included.
Curated OER
A.P. Exam Calculator Review
Students review ways to use the calculator to graph a function, solve an equation, calculate a numerical derivative, and calculate a definite integral. They practice using their calculator to solve a set of sample exercises. Students...
Curated OER
Related Rates
In this algebra learning exercise, students rewrite word problems using algebraic symbols and solve for the related rates. There are 10 word problems involving derivatives and rates.
Curated OER
Twelve Related Rates Word Problems
In this word problems worksheet, students solve twelve related rates word problems. Knowledge of geometry is necessary to complete these problems.
Curated OER
Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
Curated OER
The Right Angle
In this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.
Curated OER
Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
Curated OER
Commas-Exercise 4
In this comma worksheet, students read sentences, add commas if needed, or put an X boxes within the sentence if they believe no comma is necessary.
CK-12 Foundation
Ck 12: Calculus: Volume by Cross Section
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
Duke University
Calculating the Volume of a Vase
This site is a wonderful exercise for students with a Calculus base. The site gives an interactive drawing of a vase where the measurements of the diameter of the vase are at any point. The student then finds the volume using calculus....
Duke University
Duke University: Web Feats Ii: Free Donuts
This is an excellent interactive site which walks the student through the process of finding the maximum volume for a box given the length and width of a piece of cardboard. The site poses numerous multiple choice questions for the...
Interactive Mathematics
Interactive Mathematics: Applications of Volumes by Integration
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
Other
Dans Math: Lessons: Calculus (Part 2)
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
Rice University
Rice University: Cynthia Lanius: Experiment With Volume
This site challeges students to find the rectangular dimensions that would produce the cylinder with the greatest volume. The page provides formulas. Students can choose from the following methods to solve: Tabular, Graphical, and calculus.
Rice University
Rice University: Cynthia Lanius: Volume Functions
This site challeges students to find the rectangular dimensions that would produce the cylinder with the greatest volume. The page provides formulas. Students can choose from the following methods to solve: Tabular, Graphical, and calculus.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.