This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...

An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...

Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...

After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...

Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....

Four polygons each have a fraction with unlike denominators printed on them. Creative math minds select several shapes to create a design with and then write and solve a math problem involving the addition of all of the fractions...

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.

In this activity, students explore probability and patterns in fractions, decimals, and percents by drawing tiles out of a bag.

Go to Tessellation Town on Tile Island and create a variety of tessellations.

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...

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.

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.

Click on the squares to move the tiles and create the correct pattern. A fun way to explore the concept of tessellations.

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.

The Math Forum defines and illustrates geometric tessellation.

This one page website offers two interesting tiling problems. The solution is provided here as well.

This one page website can expand your logic, Motion Geometry and pattern recognition knowledge. The solution is available to double check your answers.

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.

This series of activities provides an introduction to some Algebra concelpts using CAS. The activities start with Algebra tiles and CAS. Patterning is modelled for the students so that they can construct the knowledge rather than be...

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.