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Unit Plan
1
1
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 to learn the...
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Workbook
Utah Education Network (UEN)

Geometry

For Students 6th Standards
Shape one's understanding of geometry using the resource. The sixth of seven chapters in 6th Grade Math focuses on geometry principles. Future mathematicians learn to find the area of parallelograms, trapezoids, triangles, and other...
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Performance
Radford University

Building Sandcastles

For Teachers 9th - 12th Standards
Finalize the plans before playing in the sand. Learners design sandcastles using geometric and composite figures. They create blueprints, including the scale, and three-dimensional models of their castles. Finally, scholars calculate the...
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Unit Plan
Radford University

Down on Sue's Farm

For Students 9th - 12th Standards
When would a farmer use math? Class members work through five tasks on a farm that require knowledge of surface area, volume, and determining regression equations. The challenges range from figuring out the amount of paint to buy,...
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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
Mathed Up!

Volume of Prism

For Students 7th - 10th Standards
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...
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Activity
101 Questions

Girl Scout Cookies

For Students 6th - 8th Standards
How many Girl Scout cookies can you fit in a trunk? Learners consider this question after watching a video of an SUV being filled to the top with single boxes of the cookies. They use measurements of the trunk and the box of cookies to...
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Assessment
Concord Consortium

Swimming Pool II

For Students 10th - 12th Standards
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then determine...
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Activity
101 Questions

Building Boxes

For Students 6th - 8th Standards
Build foundational knowledge of volume by building boxes. Given dimensions for a piece of grid paper, young mathematicians determine the number of possible open-top boxes it will make. As part of this task, they also find the box with...
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Interactive
CK-12 Foundation

Absolute Extrema and Optimization: Building the Biggest Box

For Students 11th - Higher Ed
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
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Lesson Plan
Virginia Department of Education

Out of the Box

For Teachers 6th Standards
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
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Lesson Plan
Virginia Department of Education

Attributes of a Rectangular Prism

For Teachers 7th
A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...
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Lesson Plan
Virginia Department of Education

Volume of a Rectangular Prism

For Teachers 7th Standards
Fill the minds of your young mathematicians. A hands-on activity has learners fill in a rectangular prism with unit cubes to determine its volume. the exercise provides a great hands-on way for learners to connect the activity to the...
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Assessment
1
1
California Education Partners

Yum Yum Cereal

For Students 7th Standards
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on shelves,...
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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
Mathematics Assessment Project

Modeling: Making Matchsticks

For Teachers 8th Standards
Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...
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Assessment
Mathematics Assessment Project

Fruit Boxes

For Students 6th Standards
Perfect for visual and hands-on learners, an engaging lesson prompts pupils to consider the different-sized boxes they can create from a piece of cardboard. They develop a model to determine the size of the box with the greatest volume. 
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Assessment
Los Angeles County Office of Education

Assessment For The California Mathematics Standards Grade 6

For Students 6th Standards
Test your scholars' knowledge of a multitude of concepts with an assessment aligned to the California math standards. Using the exam, class members show what they know about the four operations, positive and negative numbers, statistics...
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Lesson Plan
1
1
EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
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Lesson Plan
Discovery Education

Future Fleet

For Teachers 9th - 12th Standards
Turn your pupils into engineers who are able to use scientific principals to design a ship. This long-term project expects pupils to understand concepts of density, buoyancy, displacement, and metacenter, and apply them to constructing a...
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Handout
2
2
Centre for Innovation in Mamatics Teaching

Area, Perimeter and Volume

For Students 5th - 8th Standards
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
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Worksheet
Math Drills

Volume and Surface Area of Rectangular Prisms

For Students 7th - 10th Standards
Your learners get solid practice calculating the surface area and volume of rectangular prisms with this activity. There are ten versions of the activity for their enjoyment, and yours.
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Lesson Plan
Curated OER

Two for One Box Company: Student Worksheet

For Teachers 5th - 6th
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
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Worksheet
Curated OER

Volume and Surface Area of Rectangular Prisms and Cylinders

For Students 8th - 10th
In this volume and surface area worksheet, students compute the volume and surface area of 8 shapes. Four shapes are rectangular prisms, four shapes are cylinders.