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.

Index of Advanced Starters

#### Vectors

An online exercise on addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic representations of vectors.

The short web address is:

Transum.org/go/?to=vectors

### 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...

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### 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:

Alpha Twist: Develop your skills and understanding of rotation in this fast-paced challenge.

Parallel Vectors: Collect together in groups the vectors that are parallel to each other.

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.

Vector Maze: Use vectors to navigate through a maze by the shortest distance.

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 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:

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#### Alpha Twist

Develop your skills and understanding of rotation in this fast-paced challenge.

The short web address is:

Transum.org/go/?to=twist

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