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Illustrative Mathematics

3-D Shape Sort

For Teachers K - 2nd Standards
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
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...
Activity
North Carolina State University

Shapes

For Teachers K - 2nd
Expose youngsters to 3-D objects in a hands-on learning activity involving marshmallows and toothpicks. Engage your young mathematicians by introducing them to 3-D shapes by means of a story book. Explore 3-D shapes by manipulating...
Unit Plan
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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...
Instructional Video7:11
HeyMath!

Volume of Pyramid

For Teachers 6th - 11th Standards
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
Lesson Plan
Mathematics Assessment Project

Representing 3-D Objects in 2-D

For Teachers 9th - 12th Standards
How  does the shape of the surface of water in a container change as water leaks out? After tackling this question, learners take part in a similar activity with more complex figures.
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...
Lesson Plan
Fayetteville Public Schools

I've Seen That Shape Before

For Teachers Pre-K - 2nd Standards
The objectives in the resource allow young scholars to explore the characteristics of simple solid shapes. Youngsters learn to recognize the face shapes, corners, and edges that make up 3-D figures by filling in a chart....
Unit Plan
PBS

Accessible Shapes

For Teachers 6th - 8th Standards
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Lesson Plan
Exploratorium

Building Three-Dimensional Structures

For Teachers 6th - 8th
Are you looking for a good 3-D geometry lesson that includes hands-on activities for your middle schoolers? Look no further than this one! Pupils use centimeter grid paper embedded in the plan, along with detailed construction...
Lesson Plan
Learner

Solid Shapes

For Teachers K - 2nd Standards
A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...
Lesson Plan
Illustrative Mathematics

All vs. Only Some

For Teachers Pre-K - 2nd Standards
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Lesson Plan
EngageNY

Understanding Three-Dimensional Figures

For Teachers 7th Standards
You can't judge a book by its cover ... or a cube structure by just one face. A creative lesson plan looks at the shape of several cube structures described by level slices. The 20th lesson plan of the 29-part series expects young...
Unit Plan
American Institute of Architects

Architecture: It's Elementary!—First Grade

For Teachers 1st - 3rd
Build an interest and appreciation for architecture in your young learners with this fun 10-lesson art unit. Engaging children in using their five senses, the class first observes the environment around them, paying...
Unit Plan
Radford University

Fun with Solids

For Teachers 9th - 12th Standards
Geometry is all around us—if we're only willing to look. The final three activities of the Fun with Solids unit continue work on surface area and volume. For lesson three, scholars investigate the formulas for spheres and solve a problem...
Performance
Radford University

Coal Silo Design Task

For Teachers 9th - 12th Standards
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...
Lesson Plan
Space Awareness

What is a Constellation

For Students 1st - 5th
Why do some stars in a constellation appear brighter than others? Using a get-up-and-move astronomy activity, scholars explore perspective and the appearance of constellations in the sky while developing an understanding of the...
Activity
DiscoverE

LIDAR: Mapping with Lasers

For Teachers 6th - 12th Standards
We would be lost without maps! How are they made? Introduce junior topographers to LIDAR technology with a fascinating activity. Set up a mock city, then have learners operate a laser measure to determine the shape of the landscape using...
Lesson Plan
EngageNY

Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation

For Teachers 6th Standards
What is the typical length of a yellow perch? Pupils analyze a histogram of lengths for a sample of yellow perch from the Great Lakes. They determine which measures of center and variability are best to use based upon the shape of the...
Unit Plan
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State of Michigan

Pre-K Mathematics

For Teachers Pre-K - 1st Standards
Kick-start children's education with this pre-school math unit. Offering 31 different hands-on learning activities that develop young mathematicians' pattern and shape recognition, basic number sense, and much more, this is a...
Lesson Plan
Exploratorium

Exploring a Complex Space-Filling Shape

For Teachers 6th - 8th
Middle schoolers build a three-dimensional 12-pointed star as a geometric exercise. The shape is quite-difficult to construct. Luckily there is an excellent template that learners cut out, then use to make their pyramid. The second part...
Performance
Radford University

Swimming Pool Dilemma

For Teachers 9th - 12th Standards
Different shape, same volume—that's quite a challenge! Scholars design a pool for an imaginary client using three-dimensional figures. They must then create a second pool for another client with the same volume, but using different shapes.
Performance
Radford University

Exploring Coal Pillar Mining

For Teachers 9th - 12th Standards
Coal mines can be a gold mine of math applications. After reading some basic information on coal mining, learners draw blueprints of a coal pillar in the shape of a composite figure. They find the volume of material from the coal pillar...
Lesson Plan
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American Chemical Society

Finding Volume: The Water Displacement Method

For Teachers 6th - 8th Standards
We have formulas for finding the volume of geometric shapes, but what if the shape is irregular? Lesson describes how to find volume through water displacement. After a demonstration, scholars practice in small groups. Then analysis...

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