Transformations Starters:Dice Reflections: A dice is reflected in two mirrors. What numbers can be seen? Mirror Maths: The bottom half of some symmetrical calculations are shown above. Can you work out the answers? Reflective Cat: On squared paper copy the drawing of the face then reflect it in three different lines. Rotational Symmetry: Draw a pattern with rotational symmetry of order 6 but no line symmetry. Wrapping Paper: Find the order of rotational symmetry of the repeating pattern.
Small images of these Starters    Complete Index of Starters
Curriculum for Transformations:Year 5Pupils should be taught to identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed. more... Year 6Pupils should be taught to draw and translate simple shapes on the coordinate plane, and reflect them in the axes more... Years 7 to 9Pupils should be taught to identify properties of, and describe the results of, translations, rotations and reflections applied to given figures more... Years 10 and 11Pupils should be taught to {describe the changes and invariance achieved by combinations of rotations, reflections and translations} more... Pupils should be taught to {sketch translations and reflections of the graph of a given function} more... Pupils should be taught to describe translations as 2D vectors more... Pupils should be taught to apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors; {use vectors to construct geometric arguments and proofs} more... Feedback:Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource  thanks a million." Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry: "Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils. Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne: "Very good starters, help pupils settle very well in maths classroom." Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk: "Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!" Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School: "Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work." Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." 
Notes:A transformation in mathematics is an operation performed on a shape (or points) which changes the view of that shape (or points). This topic includes four transformations namely reflection, translation, rotations and enlargement. Transformations Activities:Rotational Symmetry Pairs: The traditional pairs or pelmanism game adapted to test knowledge of rotational symmetry. Transformations: Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements. Vector Cops: Help the cops catch the robbers by finding the vectors that will end the chase. Vectors: An online exercise on addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic representations of vectors. Alternatively, for the more advanced student, there is an evergrowing collection of ExamStyle Questions with worked solutions on the topic of Transformations. Transformations Investigations:Tessellations: Drag the shapes onto the canvas to create tessellating patterns and investigate the laws of tessellations. Transformations Videos:Enlargement by a scale factor: A Maths teacher goes through the idea of enlarging a shape from a centre of enlargement. Negative Enlargement: A video from MathsWatch about Enlargement by a Negative Scale Factor. Transformations Song: The four basic transformations have been put to music! Transformations Worksheets/Printables:Cat Face Reflections: A worksheet containing pictures and shapes to be reflected in given lines. Mixed Transformations: A worksheet containing mixed transformations questions and a grid for drawing the solutions on. Transformations External Links:Links to other websites containing resources for Transformations are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.

HomepageHave today's Starter of the Day as your default homepage. Copy the URL below then select Set as your homepage (if you are using Internet Explorer)
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. 
