Lesson Plan
EngageNY

Volume of Composite Three-Dimensional Objects

For Teachers 7th Standards
Most objects have irregular dimensions — you have to find them! Teach your class how to find the volume of composite objects that can be decomposed into prisms. Objects get increasingly more complex as the lesson progresses.
Lesson Plan
EngageNY

Projecting a 3-D Object onto a 2-D Plane

For Teachers 11th - 12th Standards
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
Assessment9:09
Mathed Up!

Nets, Plans, and Elevations

For Students 7th - 10th Standards
A dimensional resource teaches viewers to recognize 2-D views of 3-D objects and how to match nets with their 3-D figures. Individuals draw different views of three-dimensional objects including views from the front, side...
Lesson Plan
EngageNY

Slicing a Rectangular Prism with a Plane

For Students 7th Standards
What do you get when you slice a prism? Pupils discover that the answer depends on how the prism is sliced. The second half of the 29-part module focuses on three-dimensional objects. Learners use their two-dimensional vocabulary and...
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...
Unit Plan
Radford University

2 and 3 Dimensional Shapes

For Students 9th - 12th Standards
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
Handout
Charleston School District

Volume of Rounded Objects

For Students 8th - 10th Standards
How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...
Interactive
CK-12 Foundation

Basic Geometric Definitions: Alternate Dimensions

For Students 9th - 12th Standards
How do you calculate problems in alternate dimensions? The interactive allows learners to manipulate points in 2-D as scholars explore the relationship the points must have to create a one-dimensional object. Pupils identify objects that...
Activity
1
1
Teach Engineering

Seeing All Sides: Orthographic Drawing

For Students 6th - 12th Standards
How can your draw three-dimensional figures on paper? The lesson shows pupils how to draw orthographic projections of three-dimensional figures composed of cubes. After viewing a PowerPoint presentation, they practice this skill with...
Handout
Charleston School District

Volume of Composite Shapes

For Students 8th - 10th Standards
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
Lesson Plan
EngageNY

Truncated Cones

For Students 8th Standards
Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...
Lesson Plan
EngageNY

First-Person Computer Games

For Teachers 11th - 12th Standards
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
Lesson Plan
Kentucky Educational Television

The Road to Proportional Reasoning

For Teachers 6th - 8th Standards
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The...
Handout
Technical Sketching

Introduction — Surfaces and Edges

For Students 9th - 12th
How different can 3-D and 2-D really be? An engineering resource provides an explanation about the importance of two-dimensional technical drawings. Several samples show how to create multi-view drawings from pictorials and...
Lesson Plan
1
1
Teach Engineering

Let's Learn About Spatial Viz!

For Students 6th - 12th Standards
Can you see your class working on spatial visualization? The first installment of a five-part module introduces the concept of spatial visualization and provides a 12-question diagnostic assessment to test spatial visualization skills....
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
National Security Agency

Awesome Area - Geometry and Measurement

For Teachers 2nd - 4th Standards
Break out those math manipulatives, it's time to teach about area! Capturing the engagement of young mathematicians, this three-lesson plan series supports children with learning how to measure the area of squares, rectangles, and...
Activity
1
1
Teach Engineering

Connect the Dots: Isometric Drawing and Coded Plans

For Students 6th - 12th Standards
Individuals discover how to draw cubes on triangle-dot paper. They use cubes to build structures and draw corresponding isometric drawings on dot paper in the second lesson of the series of five. The activity also introduces the concept...
Handout
McGraw Hill

Metric Units of Weight and Volume

For Students 5th - 8th Standards
Getting the right measurements can save a lot of time and money in the real world. Learners are introduced to unit conversion and how to accurately go from one unit to another. The first pages are notes and then the packet finishes with...
Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 7

For Students 6th - 8th Standards
In need of an all-inclusive seventh grade math resource? Packed full of the topics necessary for Pre-Algebra the packet includes practice problems with different difficulty levels. It works great for any supplemental use needed...
Handout
Carnegie Mellon University

Technical Sketching Worksheets

For Students 9th - 12th
How do you create a technical drawing? Cover the basics of technical sketching with a few practice sketches of simple shapes. A technical sketching lesson introduces the proper precision measurement techniques. Pupils progress...
Lesson Plan1:00
Mathematics Assessment Project

Modeling Motion: Rolling Cups

For Students 9th - 12th Standards
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
Lesson Plan
J. Paul Getty Trust

Still-Life Painting: Arranging Nature—Lesson 1

For Teachers 9th - 12th Standards
Art learners examine still-life arrangement images and respond to a series of prompts. In a whole-class discussion, pupils list elements and qualities that still-life paintings can have. After instructors create an arrangement and model...
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.