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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...
Noyce Foundation
Lyle's Triangles
Try five problems on triangles. Levels A and B focus on shapes that can be created from right triangles. Level C touches upon the relationship between the area of a six-pointed star and the area of each triangle of which it is composed....
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...
Denton Independent School District
Pieces to the Puzzle Fraction Project
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...
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....
CPO Science
The Periodic Table
Here is a six-page exploration that will spark interest in the periodic table of elements. After reading a diagram-supported explanation of the periodic table's organization, pupils answer questions to familiarize themselves with it. To...
Dartmouth College
Dartmouth College: Mqed: Color Harmonies and Algebra Tiles
The design project examines geometric shapes, color harmonies, and composition. An instructor sheet and student handout are included.
University of Cambridge
University of Cambridge: Nrich: Star Find
This one page website offers two interesting tiling problems. The solution is provided here as well.
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.
Texas Instruments
Texas Instruments: Minimum and Maximum Perimeter
The students can use varying numbers of tiles to form shapes, and then find the minimum and maximum perimeter for each.