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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 plan. Beginning with a class discussion about different types of solid figures present in the classroom, young mathematicians are then given a...
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...
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
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 looks at the shape of several cube structures described by level slices. The 20th lesson of the 29-part series expects young mathematicians...
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...
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.
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.
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.
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...
Lesson Plan
Fayetteville Public Schools

I've Seen That Shape Before

For Teachers Pre-K - 2nd Standards
The objectives in the resource allow learners 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. Lastly,...
Performance
Radford University

Lemonade Business - Investigating Surface Area and Volume of Containers

For Teachers 9th - 12th Standards
Boost lemonade sales by using the perfect container. For a given volume, future entrepreneurs design a container that will have the least surface area and by extension, the least cost of material. They create a two-dimensional net of...
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...
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...
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...
Lesson Plan
Curated OER

Details, Details, Details

For Teachers 3rd - 8th Standards
Writing can become one-dimensional if authors don't involve all their senses. First, scholars observe a strange object which, ideally, they can touch and even smell. Without using certain words (you can create a list or have the class...
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
EngageNY

Surface Area

For Students 7th Standards
Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...
Lesson Plan
Curated OER

Sphere Dressing

For Students 7th - 10th Standards
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
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
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
Virginia Department of Education

Surface Area and Volume

For Teachers 9th - 11th Standards
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
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...
Activity
Fremont Unified School District

4th Grade California Relief Map Project

For Teachers 3rd - 5th Standards
Bring life to your next California geography lesson with this great project! Learners design a three-dimensional wall relief map of California, painting and decorating regions using a variety of materials and labeling major geographical...

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