National Council of Teachers of Mathematics
The Math Forum: Regular Tessellations
This site contains a lesson plan on tessellations. There is a link to the NCTM standards that fit this lesson and a link to an applet that is useful to both teacher and student.
National Council of Teachers of Mathematics
The Math Forum: What Is a Tessellation?
The Math Forum defines and illustrates geometric tessellation.
Other
Center for Technology and Teacher Education:exploring and Creating Tessellations
This site is a Geometer's Sketch Pad lesson plan where students explore tessellations through reflections, rotations, and translations.
Cool Math
Coolmath: Coolmath4kids: Tessellations
Tessellations are explained and described at this website. Three basic rules are given for creating tessellations.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Tessellations
This lesson focuses on tessellations, a tessellation is a geometric pattern that covers a surface without gaps or overlaps. They can be seen everywhere in nature such as a honeycomb or a tortoise shell.
Illustrative Mathematics
Illustrative Mathematics: G Mg, a Ced Regular Tessellations of the Plane
This task examines the ways in which a plane can be covered by regular polygons in a regular tessellation arrangement. The problem uses the formula for the measure of the interior angles of a regular polygon and the goal of the task is...
Other
Porcelai Nia: Tessela
Tessellated geometric patterns in art are discussed and illustrated in this resource.
University of St. Andrews (UK)
University of St. Andrews: Wilhelm Magnus
This site, provided by the University of St. Andrews in Scotland, gives a biography of Wilhelm Magnus. Many interesting links are provided as well.
CK-12 Foundation
Ck 12: Geometry: Symmetry and Tessellations Study Guide
[Free Registration/Login may be required to access all resource tools.] Provides a brief overview of the different types of symmetry and of how to tessellate a shape.
Cool Math
Coolmath: What Are Tessellations?
A resource describing tessellations with definitions and examples.
National Council of Teachers of Mathematics
Nctm: Illuminations: Dynamic Paper
Need a pentagonal pyramid that's six inches tall? Or a number line that goes from -18 to 32 by 5's? You can create all those things and more.
Shodor Education Foundation
Shodor Interactivate: Floor Tiles
Build a "floor tile" by dragging the corners of a quadrilateral. Learn about tessellation of quadrilateral figures when the shape you built is tiled over an area.
OER Commons
Oer Commons: Gallery Problems Exercise
Students who have a clear understanding of the previous lessons can work on gallery problems of their choosing. This can be used as a good review or assessment.
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.
Math Cats
Math Cats: Visit Tessellation Town on Tile Island!
Go to Tessellation Town on Tile Island and create a variety of tessellations.
Other
Paper Mosaics
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.
Instituto Latinoamericano de la Comunicacion Educativa
Red Escolar: Vertices Escondidos
In Spanish. This is a basic introduction to tessellation and various learning activities dealing with tessellations.
ClassFlow
Class Flow: Tesselations
[Free Registration/Login Required] This is a visual instruction of tessellations. It displays a variety of tessellations throughout the world and in different cultures.
Math Is Fun
Math Is Fun: Tessellation Artist
Students will have fun making tessellations in this activity, which they can then print out.
University of Cambridge
University of Cambridge: Nrich: Building Stars
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.
University of Cambridge
University of Cambridge: Nrich: Shapely Tiling
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.
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.
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...