So, mathematicians, what's your conjecture? Will our new irregular shape still tessellate? Uh-huh, you are right, mathematicians. What's your conjecture? Now, remember, a conjecture is a mathematical idea that we can prove or disprove. …altered the shape of the triangle by cutting a curved section out and attaching it to the other side? Would this new irregular shape still tessellate? What do you think? …if I know that a triangle can tessellate just like a square can tessellate, what would happen if I… They line up perfectly, like a puzzle piece. …because as I line up each of their sides… …and I can prove that they're tessellating… …because I've been playing with them and exploring… So, I started thinking about what I already know about tessellating shapes, and I know that triangles can tessellate… And this got me thinking, I wonder if we could do the same starting with a different shape. Now, you may have been exploring tessellating patterns and shapes recently, and we've discovered that we can actually start with a square and alter its shape and still create a tessellating design, which is really cool.

On the right side is a red scissors, pencil, marker and a sticky tape.Ī large white sheet of paper is over a wooden table.] Speaker On the right side is an image of a table with green paper on the left. In the lower right-hand corner is the white waratah of the NSW Government logo.Ī title on a white background reads: You will need… Small font text in the lower left-hand corner reads: NSW Mathematics Strategy Professional Learning team (NSWMS PL team). Below the title is text: ‘…It’s a Metamorphosis’ follow up Russo. [A title over a navy-blue background: Playing with tessellations.

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Triangle irregular tessellation