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

River Crossing

River Crossing

Three interactive versions of the traditional river crossing puzzles. The objective is to get all of the characters to the other side of the river without breaking any of the rules.

 

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"What a brilliant website. We have just started to use the 'starter-of-the-day' 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 on-line 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."

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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:

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: Which polygons tessellate? Which pentominoes tessellate? 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:

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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Circle Equations

Circle Equations

Recognise and use the equation of a circle with centre at the origin and the equation of a tangent to a circle. So far this activity has been accessed 16 times and it is ready for you to enjoy!

 

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