Lesson Plan
EngageNY

General Pyramids and Cones and Their Cross-Sections

For Teachers 9th - 10th Standards
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
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....
Lesson Plan
EngageNY

General Prisms and Cylinders and Their Cross-Sections

For Teachers 9th - 10th Standards
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson plan develops the definition of a general cylinder. Scholars continue on to develop a graphical...
Lesson Plan
Curated OER

Cross Sections

For Teachers 6th - 10th
Young visual learners explore different cross sections of 3-dimensional objects. First, cross sections of cubes are explored by using an interactive flash activity. This is then extended by looking at cross sections of spheres,...
Lesson Plan
Shodor Education Foundation

Cross Sections

For Teachers 7th - 12th Standards
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Assessment
EngageNY

End-of-Module Assessment Task - Geometry (module 3)

For Teachers 9th - 10th Standards
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Geometry

For Teachers 9th - 12th Standards
Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.
Workbook
1
1
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...
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...
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...
Unit Plan
1
1
Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
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...
Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
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...
Lesson Plan
Curated OER

Discovering Conic Sections in the Motion of Heavenly Bodies

For Teachers 9th - 12th
Math scholars study conics and how they are used today. In this mathematical lesson, pupils construct and slice cones after viewing a demonstration. 
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...
Assessment
Mathematics Assessment Project

Fearless Frames

For Students 7th - 9th Standards
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on...
Lesson Plan
Curated OER

Cross Section and Slope

For Teachers 6th - 8th
Students draw cross sections of given contour maps. In this math lesson, students interpret the different symbols used in the map. They determine slope and steepness through direct measurement.
Lesson Plan
EngageNY

The Volume Formula of a Pyramid and Cone

For Teachers 9th - 10th Standards
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...
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
Discovery Education

Exploring Geometry

For Teachers 6th - 8th Standards
Middle schoolers construct a three-dimensional model of a city using both similar and congruent figures and geometric transformations. City must have at least ten buildings with each building labeled and may be constructed out of paper...
Unit Plan
Virginia Department of Education

Classifying Angles

For Teachers 4th - 8th Standards
Don't be obtuse, this geometry unit is the just the right resource for educating the acute young minds in your class. From classifying and measuring angles, to determining the congruence of shapes, this...
eBook
Schoolcraft College

Trigonometry

For Teachers 9th - 12th Standards
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Worksheet
Curated OER

Worksheet 2 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
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...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 6

For Students 7th Standards
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...