# Transformations Level 4

## Practise your ability to draw reflections, rotations, translations and enlargements online.

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This is level 4; Enlarge a shape from a given point by a given scale factor. Click on coordinates to draw your image.

 Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement. Show the image of the shape above after an enlargement of scale factor 8 if 8 is the centre of enlargement.

You may want to drag this shape to show where the centre of enlargement is while you are working on a question.

This is Transformations level 4. You can also try:
Level 1 Level 2 Level 3 Level 5 Level 6 Level 7

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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#### Online Logo

An opportunity for students to write a computer program. There is nothing to download, all of the interaction takes place in the browser. Great for understanding angles and the properties of shapes.

## Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

## Teachers

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Monday, January 16, 2023

"If you having difficulties when you get to Level 3 Rotations you are not alone. Rotations are difficult without using tracing paper to help. I stumbled across this video on YouTube in which George Turner shows the windmill method:

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## Description of Levels

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Which Transformation? - This is an easy exercise to begin with asking you to recognise some very simple transfomations.

Level 1 - Reflect a shape in a given line

Level 2 - Translate a shape by a given vector

Level 3 - Rotate a shape about a given point by a given angle

Level 4 - Enlarge a shape from a given point by a given scale factor

Level 5 - Transform a shape by a given matrix

Level 6 - Mixed questions without diagrams

Level 7 - Describe the transformation from the diagrams

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

There is a printable worksheet to go with this activity.

Finally try Blow Up, a clallenge to find all the points that could be the centre of enlargement of a shape if the image does not go off the grid. Great fun!

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Help

Click on the points where the gridlines meet to select a point. When you have selected the number of points required to complete the diagram a 'Check' button will appear.

You can select the 'Show' button if you don't know how to do a question. Refresh the page when you think you understand and try for yourself.

You can earn a Transum trophy for each level if you get at least nine questions correct.

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