Curated OER
Worksheet 37 - Practice Exam III - Integrals
In this integral worksheet, students use double integration to find area and volume. They identify the limits of a sequence. This one-page worksheet contains 11 problems.
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Curated OER
Worksheet 29 - Integrals
In this integral worksheet, pupils evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.
Curated OER
Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on to learn the...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Virginia Department of Education
The Ratio of Surface Area to Volume
Demonstrate the ratio of surface area to volume in your high school class by using phenolphthalein, gelatin, and an onion. Intrigue the class by leading a discussion on osmosis and diffusion, then making "scientific jello." Participants...
Curated OER
Cover Up: Tools for Integrating Math and Engineering
Blend art, adolescent snacking habits, and math to create new cereal boxes. Secondary learners review scale drawings. They use this information to construct cereal boxes to scale and will compare their creation to the original product to...
Curated OER
Math Regents Exam Questions: Surface Area and Volumes
In this surface area and volume activity, students solve 4 short answer and multiple choice problems. Students find the volume and surface area of cylinders and prisms.
Curated OER
Perimeter, Area, and Volume
In this geometry activity, 10th graders determine the perimeter, area, or volume of the indicated figure. The five page activity contains a combination of twenty-two multiple choice and free response questions. Solutions and rubrics...
Curated OER
The Volume of a Hypersphere
In this volume of a hypersphere worksheet, students solve 4 problems where they find the volume formula and calculate the volume given the dimensions of the hypersphere.
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to determine the area...
Curated OER
Worksheet 8 - Double Integrals
In this double integral activity, students compute the antiderivatives, explore the order of integration, and determine the double integrals of given functions. They sketch the volume of a solid represented by double integrals. This one...
Curated OER
Worksheet 14: Integrals
For this integral worksheet, students evaluate integrals and determine the volume of given polygons bounded by graphs. This three-page worksheet contains approximately twenty multi-step problems.
Curated OER
Challenge Sheet 4: Integration
In this integration worksheet, students use any method to integrate problems. They determine the volume of symmetrical pyramids, spheres and cylinders. This one-page worksheet contains seventeen problems.
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Curated OER
Geometry and Measurement
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
Baylor College
Living Things and Their Needs: The Math Link
Enrich your study of living things with these cross-curricular math activities. Following along with the story Tillena Lou's Day in the Sun, learners will practice addition and subtraction, learn how to measure volume and length, work on...
Curated OER
Area of Regions
In this area of regions instructional activity, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page...
Curated OER
Lesson #110 Volumes of Solids of Revolution (Disk Method)
Students examine volumes of solids of revolution. In this volumes of solids of revolution lesson, students use the limit of a Riemann sum to find the volumes of disks or cylinders and a sphere.