Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Tile Patterns I: Octagons and Squares

For Teachers 8th Standards
Eighth graders are presented with a tile pattern showing an apparent square surrounded by four octagons. They are asked to answer a question about congruency and angle measurements, as well as prove that the interior shape is really a...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Tile Patterns Ii: Hexagons

For Teachers 8th Standards
Eighth graders are presented with a pattern of octagon tiles. They are asked to answer questions about angle measures and hexagonal arrangements. Aligns with 8.G.A.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Building a Tile Pattern by Reflecting Hexagons

For Teachers 9th - 10th Standards
This task applies reflections to a regular hexagon to construct a pattern of six hexagons enclosing a seventh. The focus of the task is on using the properties of reflections to deduce this seven-hexagon pattern. Aligns with G-CO.B.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Building a Tile Pattern by Reflecting Octagons

For Teachers 9th - 10th Standards
This task applies reflections to a regular octagon to construct a pattern of four octagons enclosing a quadrilateral. The focus of the task is on using the properties of reflections to deduce that the quadrilateral is actually a square....
Activity
Texas Instruments

Texas Instruments: Tessellations and Tile Patterns

For Teachers 9th - 10th
Students understand that a tessellation is covering of a plane with a pattern of figures so there are no overlaps or gaps. They draw quadrilaterals and triangles and explore monohedral, dihedral, and trihedral tessellating patterns.
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...
Lesson Plan
PBS

Pbs Mathline: Tiling the Plaza Lesson Plan [Pdf]

For Teachers 6th - 8th
Middle schoolers are given pattern blocks and are told to create a tile design for a building to use on the floor. Printable instructional activity.
Website
National Council of Teachers of Mathematics

The Math Forum: Making Patterns

For Teachers Pre-K - 1st Standards
Explore the literature connections, online activity, pencil and paper activity, and the manipulative investigation of patterns and geometric shapes on this page!
Activity
Texas Instruments

Texas Instruments: Tiles in a Bag

For Teachers 6th - 8th
In this activity, students explore probability and patterns in fractions, decimals, and percents by drawing tiles out of a bag.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Hexagonal Pattern of Beehives

For Teachers 9th - 10th Standards
Beehives are made of walls, each of the same size, enclosing small hexagonal cells where honey and pollen are stored and bees are raised. This problem examines some of the mathematical advantages of the hexagonal tiling in a beehive....
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Red and Blue Tiles

For Teachers 1st - 2nd Standards
Young scholars will determine whether a set of objects contains an even or odd number of members using strategies such as pairing objects or attempting to divide the objects into two equal subgroups. Discussion questions and explanations...
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Visual Patterns in Tessellations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan examines the mathematical nature of art, tilings and tessellations. Young scholars will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature...
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry

For Teachers 3rd - 8th Standards
This lesson plan deals with tessellations and their geometric concepts. Upper elementary and middle school young scholars will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and culture.
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.
Lesson Plan
University of Regina (Canada)

University of Regina: Math Central: m.c.escher: Mathematics and Visual Arts

For Teachers 6th - 8th
This cross-curricular middle school unit integrates mathematics and visual art. Through the study of the M.C. Escher?s work, students explore tiling from both a mathematical and artistic point of view. Points for discussion and...
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.
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
University of Cambridge

University of Cambridge: Nrich: Little Squares

For Students 3rd - 8th
What are square numbers? Use tiles at this one page website to discover the pattern of square numbers. See if you can solve the challenge. Once you have your solution you can check the solution given right at the website.
Activity
Maths Challenge

Maths challenge.net: Kitchen Floor

For Students 4th - 8th Standards
A "one star" geometry problem that requires finding the visual pattern and applying logic with basic math skills to solve how many tiles are needed to complete the kitchen floor pattern.
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.
Activity
Texas Instruments

Texas Instruments: How Totally Square!

For Teachers 6th - 8th
Students make a variety of sizes of squares using square color tiles. With the squares, the students discover patterns and make prediction. They explore and understand the concept of square numbers.
Activity
National Council of Teachers of Mathematics

The Math Forum: What Is a Tessellation?

For Students 3rd - 8th Standards
The Math Forum defines and illustrates geometric tessellation.
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 students. Lots of resources for teachers to use.