Transum Maths Software

Transformations

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Transformations. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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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

Featured Activity

Roman Numerals Jigsaw

Roman Numerals Jigsaw

This is a wonderful activity for someone who does not know Roman numerals. By completing the activity an understanding of the symbols develops and a great sense of achievement is enjoyed.

 

Curriculum for Transformations:

Year 5

Pupils 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 6

Pupils should be taught to draw and translate simple shapes on the coordinate plane, and reflect them in the axes more...

Years 7 to 9

Pupils should be taught to identify properties of, and describe the results of, translations, rotations and reflections applied to given figures more...

Years 10 and 11

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 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 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 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 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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.
Thanks for such a great resource!"

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 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 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 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 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."

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.

A reflection can best be described as the mirror image of a shape in a given line (which acts as the mirror). After reflection the shape remains the same size but the orientation is the mirror image of the original.

The transformation known as a translation can be thought of as a movement or shift in position. The size and orientation of the shape remains the same but the position on the plane changes.

A rotation can be described as turning. This transformation is defined by the angle of turning and the centre of rotation (the point which does not move during the turning).

Finally enlargement is the term we use when a shape increases in size but maintains the same shape. The shape after enlargement is defines as being similar to the shape before enlargement. His use of the word similar has a precise mathematical meaning. All of the angles in the enlarged shape are the same as the angles in the original shape and the lengths of the sides are in the same proportion. An enlargement is defines by the scale factor of the enlargement and the centre of enlargement. We use the term enlargement even if the shape becomes smaller (a scale factor between minus one and one). A negative scale factor will produce an enlarged mirror image of the original shape.

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.

Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style 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:

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Rounding SF

A self marking exercise requiring students to round numbers to a given number of significant figures. So far this activity has been accessed 31648 times and 4400 people have earned a Transum Trophy for completing it.

 

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