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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
Curated OER

Life in a Geometrical Town

For Teachers 5th - 6th
In this geometry worksheet, students create a map that uses various geometrical concepts. The final project is the creation of a "geometrical town." Rubric for grading is included.
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
Illustrative Mathematics

Box of Clay

For Teachers 5th - 7th Standards
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
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 Regina (Canada)

University of Regina: Math Central: Manipulatives for the Upper Elementary (Gr. 4 6)

For Teachers K - 1st Standards
Many teachers find it more challenging to incorporate the use of manipulatives into their mathematics programs at the upper elementary or middle school grades. Activities using manipulatives are provided for grades four, five, and six...
Activity
Maths Challenge

Maths challenge.net: Platonic Solids

For Students 9th - 10th Standards
A "three star geometry problem" requiring knowledge of how to complete geometric proofs to prove that there are no more than five regular convex polyhedra.
Activity
Maths Challenge

Maths challenge.net: Spider Fly Distance

For Students 9th - 10th Standards
A "three star geometry problem" requiring knowledge of how to complete geometric proofs and some prior math skills to figure the shortest distance between the opposite corners of a cuboid.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Geometry

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in geometry: Triangles, and Circles and Other...
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
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
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
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: 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
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: 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: 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: 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.
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
University of California

Geometry Junkyard: Dissection Tiling

For Students 9th - 10th Standards
A great and very informative article about dissection tiling or tessellation.
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.

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