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Lesson Plan
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Curated OER

Flower Vases

For Teachers 7th - 9th Standards
Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.
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Lesson Plan
EngageNY

Volume and Cavalieri’s Principle

For Teachers 11th - 12th Standards
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
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Performance
Radford University

Sand Castle

For Teachers 8th - 12th Standards
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
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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...
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Unit Plan
New York City Department of Education

Designing Euclid’s Playground

For Teachers 10th Standards
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
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Assessment
1
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CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 3

For Teachers 9th - 12th Standards
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
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Assessment
Concord Consortium

Bill the Ball Bearing Man

For Students 10th - 12th Standards
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
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Activity
DiscoverE

Design a Dome

For Teachers 6th - 12th Standards
Do domed structures have advantages over their less-than-spherical counterparts? Junior architects explore the pros and cons of domes through a design challenge. Teams work together to plan, sketch, build, and test domes created from an...
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Activity
Noyce Foundation

Piece it Together

For Students K - 12th Standards
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
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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...
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Lesson Plan
EngageNY

Cones and Spheres

For Students 8th Standards
Explore methods for finding the volume of different three-dimensional figures. The 20th activity in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...
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Assessment
1
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Balanced Assessment

Boring a Bead

For Students 11th - 12th Standards
How much material is in a bead? Class members utilize volume formulas to determine the amount of material in a bead. The goal of the assessment is to show that the amount of material left in a bead is the same for all beads with a given...
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Worksheet
Kuta Software

Identifying Solid Figures

For Students 4th - 6th Standards
Reinforce basic geometry skills in an elementary math lesson. A simple worksheet prompts learners to identify and label 3-D shapes.
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Assessment
Mathematics Assessment Project

Propane Tanks

For Students 9th - 12th Standards
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
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Lesson Plan
Willow Tree

Surface Area of Three-Dimensional Figures

For Students 8th - 11th Standards
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
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Lesson Plan
Willow Tree

Three-Dimensional Figures

For Students 8th - 11th Standards
Time to move into the third dimension! Learn the names of the geometric solids and count faces, edges, and vertices. Then learn to recognize nets that create a given solid. 
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Handout
Del Mar College

Formulas for Elementary and Intermediate Algebra

For Students 6th - 9th Standards
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more. 
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Printables
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Houghton Mifflin Harcourt

Unit 6 Math Vocabulary Cards (Grade 5)

For Students 5th Standards
Acute angles, nets, and vertices are only a few terms that a set of flash cards includes. Among the 108 cards, two types are available; word cards printed in bold-faced lettering, and corresponding definition cards equipped with an...
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Printables
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Houghton Mifflin Harcourt

Unit 3 Math Vocabulary Cards (Grade 1)

For Students 1st Standards
Reinforce math vocabulary with a set of flashcards. Each card showcases a boldly typed word or a picture representation with labels. The topics are geometry related and include terms such as cones, faces, pyramids, sides, and more! 
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Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 3

For Students 3rd Standards
Assess scholars' knowledge with a 22-page assessment that covers place value, patterns, probability, estimation, measurement, geometric figures; and their ability to add, subtract, multiply and divide proficiently. 
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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...
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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, learners look...
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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...
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Worksheet
World Wildlife Fund

Arctic Shapes

For Teachers 5th - 6th Standards
In a two-part worksheet, young geometers examine 3-D shapes and describe their attributes in a table. They will be able to draw the shape and name the number of vertices, faces, and edges. In the second part, individuals explore nets of...