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Illustrative Mathematics

3-D Shape Sort

For Teachers K - 2nd Standards
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the...
Activity
Annenberg Foundation

Annenberg Learner: Geometry 3 D Shapes

For Students 6th - 8th Standards
Learn about several three-dimensional geometric shapes and the terminology used to describe them. Learn how to calculate their surface area and volume, and explore their mathematical properties.
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...
Activity
Texas A&M University

Wtamu Virtual Math Lab: Beginning Algebra: Formulas

For Students 9th - 10th
This tutorial will show you how using formulas can help you solve problems. Include formulas for various geometric shapes and steps showing how to use them.
Activity
History is Fun

Jan Brett: Geometric Solids Flashcards Pdf

For Students 1st - 3rd Standards
Print out these colorfully illustrated PDF file pages to practice learning your basic three dimensional geometric solids. Fold them in half and one side shows the shape while the other side shows the shape with the correct name. Put them...
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.
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.
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.
Activity
University of Cambridge

University of Cambridge: Nrich: Instant Insanity

For Students 3rd - 8th Standards
Excellent interactive challenge working with cube nets to stack them in a specific order. Manipulate the cubes online to solve the problem.
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.
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.
Activity
University of Cambridge

University of Cambridge: Nrich: Triangles to Tetrahedra

For Students 3rd - 8th Standards
Given an unlimited number of a specific type of equilateral, isosceles, and right triangles create as many tetrahedra as are possible. Includes printout.
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.
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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