No matter what we're thinking, we need to be able to prove and show our thinking. 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. Contact the NSW Department of Education.Explore our people, accountabilities, jobs, opportunities and much more. Learn about the NSW education department, who we are and how we operate. NSW Department of Education's information on curriculum taught in NSW schools, Aboriginal education and communities & personalised support. The NSW Department of Education is committed to employing the best and brightest teachers who can teach and make a difference in NSW public schools. School based apprenticeships and traineeships.Aboriginal and Torres Strait Islander peoples.Explore industries, careers and courses. Skills NSW helps post high school students find courses in vocational training across a wide variety of industries and course providers. Plus, information for parents including how to choose a service and supporting your child for their transition to school.Īccess info for students, parents and carers including: calendars, school operational status, key initiatives, visitor check-in procedures, and translated documents. Information about working in or operating early childhood education services including outside school hours care.
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