This last week of Term 2 we will be doing some transformations and tessellations. Our learning intention is to understand and describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates and to identify line and rotational symmetries.
Your first task is to use the letters of your name, on a poster, to demonstrate your understanding of translation (slide), rotation (turn), reflection (flip) and dilation (increase in size).
Your second task is to use a shape that tessellates (fits together with no gaps or spaces) to create an artwork, similar to the ones in these YouTube videos:
These links will help you to plan, design and construct your own:
Last week you learnt about Transformations – Reflections, Rotations, Translations and Dilations. Try this 2D Geometry tutorial with Jermaine to check that you understand what each of these terms mean. This week we will use these to create Tessellations – repeated shapes that create patterns that fill a space, without leaving any gaps. Tessellated tile verandahs were popular in houses of the Victorian and Edwardian periods. Using the Tessellations Creator find out which of the regular polygons (equilateral triangles, squares, regualr pentagons, hexagons etc) will tessellate. Check your answers at Tessellation: The Mathematics and Multimedia. Explore the world of Tessellations at www.tessellations.org and CoolMath.com.
Before the end of term we will be looking at transformations in Maths – reflections, translations, dilations and rotations. Your assessment task will be to create a poster your name, with each of the letters transformed in a different way. Transformations are useful for security cameras (to make number plates photographed at an angle easier to read for example) and computer graphics that make realistic animated movies or computer games. Read more at the Maths by Email newsletter.
Transformations definitions and demonstrations at Maths if Fun!
An excellent interactive site to learn more about Transformations at MathsNet.