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 :: 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... Pupils should be taught to identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids more... Years 10 and 11Pupils should be taught to interpret and use fractional {and negative} scale factors for enlargements more... Pupils 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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." 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 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 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull: "Dear Transum, Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc  in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is  my pupils love it! Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" 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." Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." 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 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College: "Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities. 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 23 September 'Starter of the Day' page by Judy, Chatsmore CHS: "This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles." 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 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 i asp?ID_Top 'Starter of the Day' page by Ros, Belize: "A really awesome website! Teachers and students are learning in such a fun way! Keep it up..." 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 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast: "My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." 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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai: "It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages." Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy: "3 NQTs in the department, I'm new subject leader in this new academy  Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!" Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, : "I think these are great! So useful and handy, the children love them. Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School: "What a brilliant website. We have just started to use the 'starteroftheday' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources online we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun." Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales: "Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!" Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School: "Really good site. Lots of good ideas for starters. Use it most of the time in KS3." Comment recorded on the 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK: "I am an NQT and have only just discovered this website. I nearly wet my pants with joy. 
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 Teacher Resources:Rotation Visual Aid: A Geogebra manipulative that shows the effect of rotating an object with a moveable centre of rotation. Transformations of Functions: A visual aid showing how various transformations affect the graph of a function. Transformations Activities:Which Transformation?: Identify which simple transformations these diagrams represent. Alpha Twist: Develop your skills and understanding of rotation in this fastpaced challenge. Transformation Tetris: Develop your skills translating and rotating shapes in this fast paced classic game. 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. Rotational Symmetry Pairs: The traditional pairs or pelmanism game adapted to test knowledge of rotational symmetry. Blow Up: Click on all the points that could be the centre of enlargement of the shape if the image does not go off the grid. Alternatively, for the more advanced student, there is an evergrowing collection of ExamStyle Questions with worked solutions on the topic of Transformations. Transformations Investigations:Tridots: Find all the triangles that can be drawn by joining dots on a 3 by 3 grid of dots. Tessellations: Drag the shapes onto the canvas to create tessellating patterns then try the tessellations quiz. Transformations Videos:
Transformations Song: The four basic transformations have been put to music! Transformations Video: A demonstration of the four basic transformations: reflection, translation, rotation and enlargement. 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 Worksheets/Printables:Mixed Transformations: A worksheet containing mixed transformations questions and a grid for drawing the solutions on. Cat Face Reflections: A worksheet containing pictures and shapes to be reflected in given lines. 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. 
