You might find the interactivity below useful for this: Video Transcript Morning Tiling the floor And what shaped tiles have you picked Squares Thats a surprise. After students explored that all types of triangles tessellate, let them explain their reasoning. The sum of the internal angles in a triangle is °. Let them use the existing polygon tools as well as the ones they created with the custom polygon tool to make tessellations. It turns out that you can tessellate not just equilateral triangles, but any triangle Try moving the vertices in this diagram.
#TESSELLATION PATTERNS USING TRIANGLES SERIES#
If your answer is yes, can you explain how you know that all triangles tessellate, and can you give an algorithm (a series of instructions) that you can use on any triangle to produce a tessellation? Ask students to think about what type of quadrilaterals and triangles can tessellate. Cut it off and tape it to the right side. If you're not sure what to do just follow along with our shapes. Step 2: Tessellated Top Use one of your squares & draw a shape on top of it near the edge- see the photo at the top. If your answer is no, can you give an example of a triangle which doesn't tessellate and explain why it doesn't? Step 1: Cut Your Squares You'll need squares to make your tessellations. There are so many different ways to create a tessellation pattern and use of transformation. Choosing a pattern with triangles that are black and white was a way to express a pattern. Setup: Distribute one copy of the triangle grid and four colored pencils for each. A tessellation is a repeating pattern of shapes covering a plane without any gaps or overlaps. Whod have thought Tessellation needs the shapes edges to fit together with no gaps or overlaps. use equilateral triangles to create a pattern of varying geometric shapes. Now try drawing some triangles on blank paper, and seeing if you can find ways to tessellate them. Tessellation Patterns are a way to express creativeness. You can print off some square dotty paper, or some isometric dotty paper, and try drawing different triangles on it. You could also draw some triangles using this interactive. With regular tessellations, where only one shape is used to create the pattern, only a few regular polygons will actually tessellate- the triangle, square, and hexagon. Let's think about other triangles which tessellate: A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. We say that a shape tessellates if we can use lots of copies of it to cover a flat surface without leaving any gaps.įor example, equilateral triangles tessellate like this:
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