![]() ![]() Here's a nice article that may give some ideas that students could look into to understand the purpose of tessellations in our natural world. Some shapes, such as circles, cannot tessellate as they can’t fit against each other without any gaps. As for the honey bees an interesting thing to look into is why do honey bees use regular hexagons rather than other regular polygon that tessellates- it has to do with optimizing the amount of honey a regular hexagon stores. There are only three tessellations that are composed entirely of regular, congruent polygons. I'm still thinking about how to move forward on this though. Regular tessellation A regular tessellation is made up of regular congruent polygons. For example, if your polygon has an odd number of sides, you might want to divide the leftover side in half and then draw mirror-image shapes on either side of the split. I am thinking about how I could create certain parameters in which the students will have to fill a finite plane of some shape and they will have to make some sort of prediction. I feel something is missing in my project that requires them to take it further than just designing their own. Although it is true that tessellations can be found both in the natural world as well as in more synthetic (man-made) products/ art/architecture. I am stuck in how to make this project more authentic to the students though. ![]() Summary of some of the shapes from the world around us that fit together exactly to form decorative patterns. This entails an understanding in transformations, interior angles of a polygon and I differentiated by creating different roles: some students had to design a mutated figure that would tessellate with an equilateral triangle, square, regular hexagon, irregular triangle, and irregular quadrilateral. Shapes that tessellate: Everyday examples. I am an 11th Grade math teacher and I have done a larger project with my students in which they have to design their own tessellation using Geometer's Sketchpad. ![]() I agree with John Golden, in that you could extend the idea to have student think about the "so what". Transformation Videos: 3 videos demonstrating how to create a reflection tessellation, translation tessellation, and rotation tessellation (including how to do a graphite transfer or light table/window transfer for complex details).Īlso available in my Teachers Pay Teachers store.I really like the idea of using pattern blocks to work with semi-regular tessellations. Practice Tessellation Sheet: This page includes the base stencil for all three transformations shown in the videos and step-by-step sheets.Ħ. These instructions also match up with the included videos, which also demonstrate how to create them step-by-step.ĥ. Step-by-Step Direction Sheets: Three step-by-step instruction sheets with visuals showing how to create stencils for all three transformations. Practicing Transformations Worksheet: Worksheet asks students to reflect specific shapes over horizontal and vertical axes, translate shapes, and rotate shapes.Ĥ. Color Your Own Worksheets: Grid-filled pages that students can demonstrate how to draw translation, rotation, and reflection tessellations on.ģ. This PowerPoint includes animated slides, which make it easier for students to visualize the shape’s movements.Ģ. Escher (with a link to a interview he did), his influences, his artwork, and the three main types of transformations used in making tessellations – translation, rotation, and reflections. They could be part of a tessellation, with the gaps between them being seen as a different type of shape, which is known as an irregular tessellation. Tessellation PowerPoint: An introduction to what tessellations are, a brief history, M.C. Some shapes, such as circles, cannot tessellate as they can’t fit against each other without any gaps. Title: Microsoft Word - ma292dsh-l1-f-further-examples-of-shapes-that-tessellate.doc Author: Diana Loxley Created Date: 6:03:09 PM. The basic tile may need to be turned (rotated) or flipped (reflected) to make the pattern. Since triangles have angle sum 180° and quadrilaterals have angle sum 360°, copies of one tile can fill out the 360° surrounding a vertex of the tessellation. Examples: Rectangles Octagons and Squares Different Pentagons Regular Tessellations A regular tessellation is a pattern made by repeating a regular polygon. In both cases, the angle sum of the shape plays a key role. Tessellation A pattern of shapes that fit perfectly together A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. Every shape of quadrilateral can be used to tessellate the plane. If you are interested in this lesson, I have an incredibly awesome package posted up in my store. around, you see shapes that tessellate in everyday life. Every shape of triangle can be used to tessellate the plane.
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