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Curated OER
Tile Patterns I: Octagons and Squares
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...
Illustrative Mathematics
Kitchen Floor Tiles
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...
Illustrative Mathematics
Red and Blue Tiles
Here, second graders are tasked to find the patterns that have an even number of tiles. They are asked to think about why these patterns are even or odd and explain how they know.
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Curated OER
Tile Patterns II: Hexagons
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...
Mathematics Assessment Project
Floor Pattern
You'll never look at floor tiles the same again. An assessment task prompts learners to investigate relationships between patterns involving squares and kites to determine angle measurements. They then prove...
Illustrative Mathematics
Hexagonal Pattern of Beehives
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....
Mathematics Assessment Project
Octagon Tile
A connecting-the-dots activity seems too easy for seventh grade but connecting vertices may prove a challenge. Class members first examine a figure created by drawing squares around the inside of an octagon and connecting the...
EngageNY
Writing and Evaluating Expressions—Multiplication and Addition
How many people can sit around a table? The 22nd part in a series of 36 continues the work on writing and evaluating expressions to include expressions with two operations. Pupils use models to determine an expression for the number of...
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.