Interactive
CK-12 Foundation

Area and Volume of Similar Solids: Similar Solids

For Students 6th - 12th Standards
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Test Your Skills

For Students 6th - 10th Standards
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Workbook
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Utah Education Network (UEN)

Ch 8: Geometry II– Measurement in 2-3 Dimensions, Cross Sections of Solids

For Students 7th Standards
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...
Interactive
CK-12 Foundation

Method of Cylindrical Shells

For Students 11th - Higher Ed
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...
Assessment
Charleston School District

Pre-Test Unit 8: Geometry Applications

For Students 8th Standards
What does a squared and b squared make? C squared of course! The pre-test assesses eighth graders' knowledge of the Pythagorean Theorem, application of the Pythagorean Theorem, and finding volumes of solids. 
Lesson Plan
EngageNY

Scaling Principle for Volumes

For Teachers 9th - 10th Standards
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
Lesson Plan
EngageNY

Examples of Functions from Geometry

For Teachers 8th Standards
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson plan.
Lesson Plan
World Wildlife Fund

Shapes

For Teachers 3rd - 6th Standards
Investigate the properties of three-dimensional figures with this Arctic-themed math lesson. Beginning with a class discussion about different types of solid figures present in the classroom, young mathematicians are then given a...
Interactive
CK-12 Foundation

Inductive Reasoning from Patterns: Greeting with Handshakes

For Students 6th - 9th
Greet this resource like an old friend. An interactive has users investigate the number of handshakes required for a group to greet each member. A set of challenge questions ensures that learners have a solid understanding of the...
Lesson Plan
EngageNY

How Do 3D Printers Work?

For Teachers 9th - 10th Standards
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
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...
Lesson Plan
Project Maths

Planes and Points

For Teachers 6th - 8th Standards
Build a solid foundation on which to develop future concepts. Through a guided exploration, learners compare and contrast the characteristics of points, lines, planes, rays, and segments. They measure lengths and practice notation for...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
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....