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Tessellation Project

Engage your students' imaginations by providing them with opportunities to study and use tessellations in a variety of activities that go beyond filling a blank sheet of paper with an interesting design. Tessellations are a repeated patterns of identical shapes that cover a plane without gaps or overlaps. Tessellation projects can be used as a culminating activity for units of study in math, science and art across many grade levels. Real-world examples of tessellations can be found in art, quilting, pottery and architecture, as well as in nature. Tessellation projects help students analyze works of visual art and architecture for mathematical relationships. They allow art students to compare modes of artistic expression used in art and other disciplines. In science, tessellation projects allow students an opportunity to explore naturally occurring tessellations such as those being studied in X-ray crystallography.
  1. Tessellation Portfolio

    • Provide students with a blank folder on which they will create a tessellation design for the outside front and back. On the front inside cover, students will write the following index: 1) a regular tessellation, 2) a semi-regular tessellation, 3) a tessellation with rotation, 4) a tessellation with translation, 5) a tessellation in art, 6) a tessellation in architecture, 7) a tessellation in fashion, 8) a tessellation in nature, 9) an abstract art tessellation, 10) a tessellation that was created more than 100 years ago. Students will provide numbered examples for each tessellation listed. They can be magazine clippings, photographs, images printed from the computer, wallpaper samples or fabric swatches.

    Tessellated Screen Saver

    • Students will demonstrate mastery of concepts by creating a tessellated computer-screen background. Students may use computer art software to create their tessellation, or they may use mixed media to create the design and either photograph the artwork or scan it to create a digital image that can be downloaded into the computer.

    Tessellated Bulletin-Board Backgrounds

    • Provide bulletin-board paper to students in dimensions adequate for covering classroom or hallway bulletin boards. Students will work in pairs or small groups to create a tessellation pattern to be applied to the bulletin-board paper. Encourage students to test their design before applying it to the paper. Remind them to use colors and patterns that will be interesting as backgrounds for bulletin boards. Completed sheets can be rolled for storage for use throughout the school year.

    Tessellated Solid Figures

    • Provide students with copy paper on which to create a tessellation design. Once the tessellation has been colored, students will draw a geometric net for creating a solid figure such as a rectangular prism, pyramid, cylinder or tetrahedron. They will cut out the net and fold it into the solid figure. A string will be attached, and the tessellation covered three-dimensional shapes will be displayed in the classroom.

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