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Illustrative Mathematics
3-D Shape Sort
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...
World Wildlife Fund
Shapes
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...
Radford University
2 and 3 Dimensional Shapes
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...
Virginia Department of Education
Exploring 3-D Geometry
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...
EngageNY
Understanding Three-Dimensional Figures
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...
Radford University
Lemonade Business - Investigating Surface Area and Volume of Containers
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...
Mathematics Assessment Project
Representing 3-D Objects in 2-D
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.
EngageNY
Volume of Composite Three-Dimensional Objects
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.
Space Awareness
What is a Constellation
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...
North Carolina State University
Shapes
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...
Fayetteville Public Schools
I've Seen That Shape Before
The objectives in the resource allow students 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,...
Partnership for Educating Colorado Students
Mayan Mathematics and Architecture
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
Radford University
Coal Silo Design Task
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...
Virginia Department of Education
Surface Area and Volume
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...
PBS
Accessible Shapes
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....
National Security Agency
Awesome Area - Geometry and Measurement
Break out those math manipulatives, it's time to teach about area! Capturing the engagement of young mathematicians, this three-lesson series supports children with learning how to measure the area of squares, rectangles, and other...
Radford University
Fun with Solids
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...
Curated OER
Sphere Dressing
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...
Fremont Unified School District
4th Grade California Relief Map Project
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...
EngageNY
Slicing a Rectangular Prism with a Plane
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...
EngageNY
Scaling Principle for Volumes
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...
Curated OER
Details, Details, Details
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...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Virginia Department of Education
Average Atomic Masses
Facilitate learning by using small objects to teach the principles of atomic mass in your science class. Pupils determine the average mass of varying beans as they perform a series of competitive experiments. They gather data and...