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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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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
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 and Surface Area of a Cylinder

For Students 7th - 10th Standards
The measurements are all in the can. The review for the math portion of the General Certificate of Secondary Education assessments provides scholars the opportunity to review finding volume and surface area of a cylinder. Pupils work on...
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Assessment
Concord Consortium

Swimming Pool I

For Students 9th - 11th Standards
Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that...
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Interactive
Annenberg Foundation

Geometry 3D Shapes: Test Your Skills

For Students 6th - 10th Standards
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
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Interactive
Annenberg Foundation

Geometry 3D Shapes: Surface Area and Volume

For Students 6th - 10th Standards
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
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Activity
101 Questions

Toilet Paper Roll

For Teachers 9th - 12th Standards
You won't want to flush a great lesson down the drain! An intriguing resource asks learners to predict the number of sheets of toilet paper on a roll. Presented with the dimensions of the roll and one sheet of paper, scholars make...
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Lesson Plan
Virginia Department of Education

Surface Area and Volume of a Cylinder

For Teachers 7th Standards
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
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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
Mathematics Assessment Project

Sports Bag

For Teachers 6th - 8th Standards
Why not give surface area of cylinders a sporting chance in your classroom? A strategic problem-solving task requires pupils to consider the net of a cylinder. Individuals must determine the sizes of the pieces needed to make a sports...
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Assessment
Mathematics Assessment Project

Funsize Cans

For Students 9th - 11th Standards
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to solve...
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Assessment
Mathematics Assessment Project

Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
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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
Illustrative Mathematics

How Thick Is a Soda Can I?

For Teachers 9th - 11th Standards
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
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Lesson Plan
Illustrative Mathematics

How Thick Is a Soda Can II?

For Teachers 9th - 12th Standards
Science, technology, and math come together in this one combination exercise. Analyzing the common soda can from both a purely mathematical perspective and a scientific angle allows for a surprisingly sophisticated comparison of...
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Activity
Mrs. Burke's Math Page

Let Them Eat Pi

For Teachers 7th - 12th Standards
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
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Lesson Plan
Curated OER

Measurement: Cylinders

For Teachers 8th - 10th
Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...
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Interactive
Curated OER

Geometry Worksheets - Surface Area of Cylinders

For Students 9th - 12th
In this online math worksheet, students determine the surface area of cylinders given their interior dimensions. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A...