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eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 9.5 Modeling in Three Dimensions

For Students 9th - 10th Standards
Explore connections between a 2-dimensional net and a 3-dimensional box. Later in this section, use equations with variables to solve real world problems that use 2 and 3-dimensional objects.
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Unknown Type
Khan Academy

Khan Academy: Identify Parts of 3 D Shapes

For Students 2nd - 4th Standards
Identify the parts of 3D shapes in this assessment.
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Activity
University of Cambridge

University of Cambridge: Nrich: Three Cubed

For Students 3rd - 8th
Use the shapes provided and figure out how they fit together to make a 3 X 3 cube at this one page website. The solution is readily available right at the website.
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Activity
University of Cambridge

University of Cambridge: Nrich: All in the Mind

For Students 3rd - 8th
You will have to use visualization to help you solve this challenge. At this one page website, you will be able to check your solution.
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Activity
University of Cambridge

University of Cambridge: Nrich: Christmas Presents

For Students 3rd - 8th Standards
Improve your logic and net recognition skills with this learning game. Solution included.
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Activity
University of Cambridge

University of Cambridge: Nrich: Dicey

For Students 3rd - 8th
If you can visualize a cube and turn it around in your mind, then this is the challenge for you. This one page website has the solution available to check your thinking.
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Activity
University of Cambridge

University of Cambridge: Nrich: Making Boxes

For Students 3rd - 8th Standards
Have fun and learn by making a box and then find out its maximum volume as well as other problem-solving activities, including making a table of your results and drawing a graph.
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Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Cut the Cake

For Students 2nd - 6th Standards
A math challenge where geometry, measurement, and problem solving meet. Explore the properties of three dimensional shapes when you discover how six friends can equally divide a nine inch square chocolate cake. A one page activity from...
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Activity
University of California

Geometry Junkyard: Dissection Tiling

For Students 9th - 10th Standards
A great and very informative article about dissection tiling or tessellation.
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Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: The Cylinder Problem: High School Lesson

For Teachers 9th - 10th Standards
Using an engaging approach, this lesson requires young scholars to record the volume of cylinders as a function of the radius. Students will construct and measure the volume of several cylinders and then begin comparing these shapes.
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Website
Wolfram Research

Wolfram Math World: Geometry

For Students 9th - 10th
This MathWorld tutorial provides detailed overviews of the concepts and theorems associated with geometry. Most of the Math World sites are extensive and some require higher math knowledge to understand, links to terms and topics are...
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Activity
National Council of Teachers of Mathematics

The Math Forum: The Cylinder Problem: Elementary Lesson

For Teachers 3rd - 5th
Use this lesson plan to help students learn about cylinders. Students will be creating cylinders, and comparing them and their capacity. This engaging, hands-on lesson will hold student interest and be very beneficial to student learning.
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Activity
National Council of Teachers of Mathematics

The Math Forum: The Cylinder Problem: Middle School Lesson

For Teachers 6th - 8th Standards
This lesson offers an interesting, hands-on experience for middle school students studying cylinders. Students will create cylinders, and measure and compare their volumes.
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Handout
Wolfram Research

Wolfram Math World: Geometry

For Students 9th - 10th Standards
This site provides an understanding of the many types of geometry.
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Unit Plan
Clark University

Clark University: Euclid's Elements

For Students 9th - 10th
A review of the 13 books of Euclid's "Elements" text can be found here. Each of the chapters are broken down into definitions, propositions, and common notations that are used throughout this overview.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gmd, G Mg Tennis Balls in a Can

For Teachers 9th - 10th Standards
For this task, students investigate the volume of tennis balls and their cylindrical container, the empty space around the balls, different ways of slicing them, and what their visualizations will look like. Aligns with G-GMD.B.4 and...
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Handout
Other

University of Edinburgh: Glossary of Introductory Computer Graphics Terms

For Students 9th - 10th
This website, from the University of Edinburgh, provides a lengthy glossary of computer graphics terms written by Olin Lathrop, author of "The Way Computer Graphics Work". This site provides simple definitions of basic terms; no graphics...
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Lesson Plan
PBS

Pbs Learning Media: Math + Arts: Shapes Into Sculptures

For Teachers Pre-K - 1st Standards
In this lesson, learners will identify 2- and 3-dimensional shapes as well as create shape drawings and sculptures. Teacher materials are available.
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Website
National Council of Teachers of Mathematics

The Math Forum: Geometry Turned On

For Students 9th - 10th Standards
This Math Forum site contains many mathematical and geometric explanations and proofs of many different topics that have been done using a geometry software called Geometer's Sketchpad. The explanations are very detailed and clear;...
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Unit Plan
Sophia Learning

Sophia: Volume Units

For Students 4th - 8th Standards
This lesson introduces the units of distance (cubed units) used to describe volume. Students watch a video tutorial and then can take an online quiz.
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Interactive
Doina Popovici

Math Play: 3 D Shapes

For Students 5th - 7th Standards
Name various 3D shapes in this online game.

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