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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Geometry in Tessellations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan explores tessellations and their geometric properties. Plenty of interactive support is available for learners. Lots of resources for teachers to use.
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Activity
Other

Backtracking: An Interactive Tessellation Game

For Students 9th - 10th Standards
Click on the squares to move the tiles and create the correct pattern. A fun way to explore the concept of tessellations.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Tessellation Tutorials

For Students 6th - 8th Standards
This site provides a wealth of tutorials regarding tessellation. Content ranges from basic definitions of what tessellation is, to the math behind it, to various learning activities.
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Lesson Plan
PBS

Pbs: Mathline: Tessellations Wow! [Pdf]

For Teachers 3rd - 5th
An integrated geometry lesson 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 are introduced to...
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Website
Other

Tessellation World of Makoto Nakamura

For Students 9th - 10th
There's more to do here than just look at Escher-like tessellations. You can watch animated tessellations and put together puzzles.
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Activity
Math Cats

Math Cats: Visit Tessellation Town on Tile Island!

For Students Pre-K - 1st Standards
Go to Tessellation Town on Tile Island and create a variety of tessellations.
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Lesson Plan
PBS

Pbs Mathline Lesson Plan: Sidewalk Capers [Pdf]

For Teachers 3rd - 5th
The objective of this lesson is for students to, "explore spatial relationships by determining the area of various shapes and creating tessellation patterns." Using a variety of hands-on activities, students apply concepts of geometry,...
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Activity
Wolfram Research

Wolfram Math World: Semiregular Tessellations

For Students 3rd - 8th Standards
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.
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Activity
University of Cambridge

University of Cambridge: Nrich: Tessellating Triangles

For Students 3rd - 8th
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.
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Handout
Other

Platonic Realms: The Mathematical Art of m.c. Escher

For Students 9th - 10th
Math Academy Online presents a great M.C. Escher (1898-1972 CE) site for connecting the arts and mathematics. As even Escher said, "For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of...
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Handout
Other

Porcelai Nia: Tessela

For Students 9th - 10th Standards
Tessellated geometric patterns in art are discussed and illustrated in this resource.
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Unit Plan
E-learning for Kids

E Learning for Kids: Math: Living in the Mill: 2 D Shapes

For Students 2nd - 3rd
Students can use this interactive site to practice various geometric concepts such as rotations, reflections, translations, tesselations and geometric patterns.
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Lesson Plan
PBS

Pbs Mathline Lesson Plan: Mirror, Mirror [Pdf]

For Teachers 3rd - 5th
The goal of this PBS lesson is for students to apply spatial reasoning, problem solving, and critical thinking skills to assess which regular polygons will tessellate. A detailed lesson plan that includes related worksheets, lesson...
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Website
Primary Resources

Primary Resources: Patterns and Symmetry

For Teachers Pre-K - 1st Standards
Teachers, here's a great resource for worksheets and presentations about symmetry. Includes PowerPoint and smartboard presentations.
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Lesson Plan
Science Buddies

Science Buddies: Tiling With Spidrons

For Teachers 9th - 10th
If art and math are both passions of yours, this project is meant for you! Spidrons are geometric forms made from alternating sequences of equilateral and isosceles (30 degrees, 30 degrees, 120 degrees) triangles. Spidrons were...
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Unknown Type
University of Cambridge

University of Cambridge: Nrich: Building Stars

For Students 3rd - 8th
This interactive activity gives you an opportunity to color in a tessellation that is different from the usual. Read the short introduction to find out more about this tessellation that doesn't repeat.
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Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Envelopes

For Students 3rd - 6th Standards
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...
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Interactive
CK-12 Foundation

Ck 12: Math Grade 3

For Students 3rd
Browse resources related to third-grade math standards. Click on a topic for interactive lessons, videos, and extra practice.
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Activity
Other

Paper Mosaics

For Students 9th - 10th
A unique combination of origami paper folding and mathematical tessellations create these stunning works of art. Definitely not for the beginning paper folder to try! Site includes printable patterns.
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Interactive
University of Cambridge

University of Cambridge: Nrich: Shapely Tiling

For Students Pre-K - 1st
On this one page interactive website expand your logic, Motion Geometry and pattern recognition knowledge while working on this challenge. The solution is available to double check your solution.
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Website
PBS

Pbs Learning Media: Triangles

For Students 3rd - 5th Standards
In this video segment [2:01] from Cyberchase, the CyberSquad finds that by arranging triangle tiles they are able to create a path that will allow them to cross a river of hot lava.
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Website
PBS

Pbs Learning Media: Squares

For Students 3rd - 5th Standards
The CyberSquad builds a raft out of squares in order to cross a river in this Cyberchase video [2:05] segment.
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Activity
University of Cambridge

University of Cambridge: Nrich: Roll These Dice

For Students 3rd - 5th
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.