Ohio Resource Center
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Tessellations and Tiling
 
This folder contains three resources that would be useful when teaching concepts around tessellations and tiling. Two of the resources are instructional and one of the resources are content resources which contain interactive applets.

   
Tessellation Tutorials (ORC#: 2660)

This site consists of more than three dozen links to applets, tutorials, and reference materials on tessellations. Discussions of the mathematics underlying tessellations, as well as historical and geographical connections, are included. Links to tessellation activities using a variety of different software are provided. (sw)


   
Tiling the Plaza (ORC#: 268)

Students first explore making patterns with a variety of pattern blocks. They next engage in experiments of making tile designs using only one shape by rotating that shape around a point. Finally, they are faced with the situation of entering a contest for creating the best tile design (tessellation) for the new plaza using these geometric shapes. Students are placed into groups and are to use only the blocks with equal sides and equal angles (the triangle, the square and the hexagon) to create a patterned tile design. Each group makes a tile design using combinations of these regular polygons. The students view these designs and vote for the design they like best. In addition to the lesson plan, the site includes ideas for teacher discussion, extensions of the lesson, additional resources, and a discussion of mathematical content. The lesson plan is accompanied by video clips illustrating lesson procedures. The user should first locate the Tiling the Plaza lesson and then access the appropriate video clips at the PBS TeacherSource website. The video player necessary to view the video clips can be downloaded for free from the site. (author/sw)


   
Covering the Plane with Rep-Tiles (ORC#: 1150)
A rep-tile is a geometric figure such that n copies of the figure can fit together to form a larger, similar figure. In this activity, students can experiment with various shapes and values of n to see which combinations will tessellate the plane. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved. An activity sheet, bibliography of references, and Internet extensions are included. This activity is adapted from an article that appeared in the January-February 1996 issue of Mathematics Teaching in the Middle School. (author/sw)