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Illustrative Mathematics
Illustrative Mathematics: 8.g Tile Patterns I: Octagons and Squares
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...
Illustrative Mathematics
Illustrative Mathematics: 8.g Tile Patterns Ii: Hexagons
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.
Illustrative Mathematics
Illustrative Mathematics: G Co Building a Tile Pattern by Reflecting Hexagons
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.
Illustrative Mathematics
Illustrative Mathematics: G Co Building a Tile Pattern by Reflecting Octagons
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....
Texas Instruments
Texas Instruments: Tessellations and Tile Patterns
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.
Science Buddies
Science Buddies: Tiling With Spidrons
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...
PBS
Pbs Mathline: Tiling the Plaza Lesson Plan [Pdf]
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.
National Council of Teachers of Mathematics
The Math Forum: Making Patterns
Explore the literature connections, online activity, pencil and paper activity, and the manipulative investigation of patterns and geometric shapes on this page!
Texas Instruments
Texas Instruments: Tiles in a Bag
In this activity, students explore probability and patterns in fractions, decimals, and percents by drawing tiles out of a bag.
Illustrative Mathematics
Illustrative Mathematics: G Mg Hexagonal Pattern of Beehives
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....
Math Cats
Math Cats: Visit Tessellation Town on Tile Island!
Go to Tessellation Town on Tile Island and create a variety of tessellations.
Illustrative Mathematics
Illustrative Mathematics: Red and Blue Tiles
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...
Shodor Education Foundation
Shodor Interactivate: Lesson: Visual Patterns in Tessellations
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...
Shodor Education Foundation
Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry
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.
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 Regina (Canada)
University of Regina: Math Central: m.c.escher: Mathematics and Visual Arts
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...
PBS
Pbs Learning Media: Triangles
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.
University of Regina (Canada)
University of Regina: Math Central: Manipulatives for the Upper Elementary (Gr. 4 6)
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...
University of Cambridge
University of Cambridge: Nrich: Little Squares
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.
Maths Challenge
Maths challenge.net: Kitchen Floor
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.
Other
Backtracking: An Interactive Tessellation Game
Click on the squares to move the tiles and create the correct pattern. A fun way to explore the concept of tessellations.
Texas Instruments
Texas Instruments: How Totally Square!
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.
National Council of Teachers of Mathematics
The Math Forum: What Is a Tessellation?
The Math Forum defines and illustrates geometric tessellation.
Shodor Education Foundation
Shodor Interactivate: Lesson: Geometry in Tessellations
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.