Transum Software

Transformations Level 3

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

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This is level 3; Rotate a shape about a given point by a given angle. Click on coordinates to draw your image.

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the origin.

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about (1,-1).

Correct Wrong

Show the image of the shape above after a rotation of 8o clockwise about the (-2,1).

Correct Wrong

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

Draggable Centre

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

Please contact me if you have any suggestions or questions.

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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?

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
Best wishes from Inger Kisby"

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

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Featured Activity

Number Crunch Saga

Number Crunch Saga

A lively numeracy game requiring you to align three numbers to create the given target sum or product. There are five levels to this online game and a virtual Transum Trophy available for each level.

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

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Erica Starr, Twitter

Friday, July 28, 2017

Ms Miles, Twitter

Saturday, July 29, 2017

Transum, Twitter

Sunday, May 3, 2020

Transum,

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:

https://www.youtube.com/watch?v=2gxBoGJv5u4 "

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Description of Levels

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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.

Worksheet

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 don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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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.

Don't wait until you have finished the exercise before you click on the 'Check' buttons. Click them as you finish each question to see if you are answered them correctly.

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