National Council of Teachers of Mathematics
The Math Forum: What Is a Tessellation?
The Math Forum defines and illustrates geometric tessellation.
National Council of Teachers of Mathematics
Nctm: Figure This: Visualizing
Is seeing believing? Explore visualizing and spatial reasoning with three dimensional shapes in this challenge from the NCTM Math Challenge for Families collection. Discover why visualization is essential skill in real world situations.
Alabama Learning Exchange
Alex: What's in a Box?
The class has been contracted to work for a box factory. They are to make cube shaped jewelry boxes. Students determine how many different nets are possible and then analyze the resulting cubes. This real-world situation helps to develop...
University of Cambridge
University of Cambridge: Nrich: Roll These Dice
Sharpen your problem solving, sequencing, and spatial reasoning skills playing this interactive game, Roll The Dice. See how many different paths you can take to end up with the same result.
University of Cambridge
University of Cambridge: Nrich: All in the Mind
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.
University of Cambridge
University of Cambridge: Nrich: Street Party
Sharpen your logic and spatial sense skills while working on this challenge. Solution included.
University of Cambridge
University of Cambridge: Nrich: Dicey
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.
Maths Challenge
Maths challenge.net: Pentominoes
A "one star" geometry problem that requires problems solving skills and exercises ones visual-spatial abilities. One may want to cut out the pieces to solve the problem as a puzzle.
Maths Challenge
Maths challenge.net: Hollow Cube
A "one star" geometry problem that requires problems solving skills and exercises ones visual-spatial abilities.
Maths Challenge
Maths challenge.net: Shaded Area
A "one star" geometry problem that requires problems solving skills and exercises ones visual-spatial abilities.
Maths Challenge
Maths challenge.net: Square Laminas
Solve this square lamina problem using your visualization skills and other mathematical prolem solving strategies.
Wolfram Research
Wolfram Math World: Semiregular Tessellations
This one page Mathworld site has a number of examples of semiregular tessellations. A definition and a small amount of related information is given at the bottom of the page.
University of Cambridge
University of Cambridge: Nrich: Up and Down Stairs
Work with this cube problem and see if you can find a pattern. Then you can check your solution with solutions already submitted.
University of Cambridge
University of Cambridge: Nrich: Green Cube, Yellow Cube
Think about the surface area of a cube. At this one page website, you use that information to complete the challenge. Solutions are offered right at the website.
University of Cambridge
University of Cambridge: Nrich: Three Cubed
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.
National Council of Teachers of Mathematics
Nctm: Figure This: Envelopes
Explore tessellations with real world applications in this activity from the NCTM Math Challenges for Families series. Figure out what shape you would use to create a legal envelope from a single sheet of paper. Then discover how...
National Council of Teachers of Mathematics
Nctm: Figure This: What's Missing?
Can you find the missing pattern in the "sona?" Explore missing patterns and growing patterns in this NCTM Math Challenges for Families activity. Discover how archaeologist and anthropologist use these mathematical patterns to learn...
![Pbs: Mathline: Tessellations Wow! [Pdf] Lesson Plan](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Pbs: Mathline: Tessellations Wow! [Pdf] Lesson Plan")
PBS
Pbs: Mathline: Tessellations Wow! [Pdf]
An integrated geometry instructional activity on spatial sense in which students identify and use different shapes to create a tessellation. "Through a variety of modalities such as writing, music, art, poetry, and literature, students...
Math Playground
Math Playground: Tangrams
Click on the tangram frame to start. Use the white tangram pieces to make the picture shown on the upper right.
University of Cambridge
University of Cambridge: Nrich: Cubes Cut Into Four Pieces
This one page website offers an excellent challenge involving a cube. Can you visualize it? Check out the solution right at the website.
University of Cambridge
University of Cambridge: Nrich: A Puzzling Cube
See if you can figure out which symbols are on which cube face at this one page website. The solution is just a click away once you have your solution in mind.
University of Cambridge
University of Cambridge: Nrich: Tessellating Triangles
The challenge at this one page website, involves tessellation and triangle. Should you accept this challenge, you will find helpful teacher notes and the solution available right at the website.
University of Cambridge
University of Cambridge: Nrich: Wag Worms
Use this challenge to see how many unique shapes can be created using exactly 5 cubes. At this one page website you can also check your results.
University of Cambridge
University of Cambridge: Nrich: Egyptian Rope
See how many different regular polygons you can make using the 12 knot Egyptian rope at this one page website. Check your solution right at the website.