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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 to learn the...
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Lesson Plan
K20 LEARN

Chicken Truck: Writing Algebraic Expressions

For Teachers 7th - 8th Standards
How did the chicken travel down the road? Given a picture of a chicken truck, class members brainstorm what information they need to determine the total number of chickens on the truck. Pupils research for the information and devise a...
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Lesson Plan
K20 LEARN

Cumbersome Cubes

For Teachers 8th - 9th Standards
Halving is not always so simple. Small groups build a cube and then determine how to construct a cube that is half the size. Groups create two cubes, one that is the correct size and another that would be an alternative solution. To...
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Activity
Gfletchy

Fill ‘er Up

For Students 9th - 12th Standards
Drink in a lesson on volume. Individuals first view a video clip where a conical cup is used to pour water into a water cooler jug. Using provided dimensions of the cup and the jug, they estimate the number of cups required to fill the...
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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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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
Radford University

Ping Pong Packing

For Students 9th - 12th Standards
Bounce off some ideas to reduce the amount of wasted space. Teams work together to determine the best size and shape of container to package a large order of ping pong balls. Groups are to design the container to reduce the amount of...
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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...
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Interactive
CK-12 Foundation

Area and Volume of Similar Solids: Similar Solids

For Students 6th - 12th Standards
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
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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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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....
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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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Assessment
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CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target I

For Teachers 8th Standards
A slideshow covering the Smarter Balanced Target I on solving problems involving volume of cylinders, cones, and spheres contains five sample items. Items range from finding the volume of a figure to finding the altitude of a cone given...
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Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
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Assessment
CCSS Math Activities

Golf Balls

For Students 9th - 12th Standards
Land on the green with a fun resource. A short performance task asks pupils to consider the volume of containers that hold golf balls. They determine the percentage of empty space of the container for different numbers of golf balls.
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Activity
101 Questions

2010 Guatemalan Sinkhole

For Teachers 9th - 12th Standards
Dig deep into a lesson studying volume. Learners view images of a Guatemalan sinkhole that seems too big to be true! Their task is to determine the amount of material needed to fill the hole using information from news articles and videos.
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Interactive
Royal Society of Chemistry

Moles Equations (14-16)

For Students 9th - 12th Standards
In chemistry, the mole is a unit of measurement, much like a millimeter or liter. After learning about moles, scholars learn various equations relating to mass, volume, and concentration. They review each of these equations in a few...
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Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
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Interactive
CK-12 Foundation

Volume of Pyramids: Fluctuating Height

For Students 9th - 12th Standards
The height of a pyramid may change, but the usefulness of the interactive will not. Learners drag the apex of a pyramid to change its height. They then answer a set of challenge questions designed to investigate how changing the...
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Assessment
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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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Assessment
EngageNY

Mid-Module Assessment Task: Grade 6 Math Module 4

For Students 6th Standards
Halfway through the module — the perfect time for an assessment. The 18th installment of a 36-part series is a mid-module assessment. Scholars provide evidence of understanding through various mathematical and contextual problems.
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Lesson Plan
EngageNY

Replacing Letters with Numbers

For Teachers 6th Standards
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson plan focuses on expressions related to geometry, such...
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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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Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 5

For Students 8th Standards
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and spheres.