After students explored that all types of triangles tessellate, let them explain their reasoning. Let them use the existing polygon tools as well as the ones they created with the custom polygon tool to make tessellations. We then looked at whether that was the easiest way to get the pattern and T pointed out that two triangles together would fit along 1 side of the square and the squares all made a neat row. Ask students to think about what type of quadrilaterals and triangles can tessellate. The first attempt was very random but it was interesting to see how T was trying to get the squares and triangles to fit together. After demonstrating by printing 4 triangles around a square, I set the challenge to fill the paper with a pattern with no spaces using just the triangles and squares. We started off with a little demonstration of how the sides of a triangle were, all the same, size as the 4 sides of the square and that we could print them to get them to match up easily. Use this square to cut out an equilateral triangle from the other potato half – it took me a little measuring and comparing to get the measurements of the sides of both the square and triangle equal however if you have a square template and a triangle template that you know tessellate then use this to create the shapes in the bottom of the potato half. Cut out a square from one of the potato halves. This time, we will be using squares and triangles as squares and triangles tessellate nicely. there are lots of examples of tiling patterns that were made using tessellation artist (some color was added using a simple paint program). You may also need to adjust the angle to get the desired effect. Choose the number of sides, from 3 (Triangles) to 12 (Dodecagons). This is nice to do the cutting of the potato with the children, however, to get accurate shapes that will fit together it’s much easier to do it independently in preparation for the activity especially if you are doing this with a class or a group of children.Ĭut a potato in half – your children will find it easier to print if you create a handle in the top of the potato – use a knife to cut a section out from one side – leave a centre section of about 1cm and then cut out a similar section from the other side. You can draw regular polygons using the polygon tool. Two different coloured paints Preparation Define the word and ask students to record in their math notebooks. Tell students they are looking at an example of a tessellation. A tessellation pattern is one composed of shapes without gaps or overlaps. The triangular tessellation and hexagonal tessellation are closely linked since it is possible to get from the triangular tessellation to the hexagonal one by. However, you can also use mixed shapes to create tessellating.
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