Transformations Level 5Practise your ability to draw reflections, rotations, translations and enlargements online. 
This is level 5; Transform a shape by a given matrix. Click on coordinates to draw your image.
Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]



Transum.orgThis 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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" 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." 
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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 MathsLearning 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.  
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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: 
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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/Alevel 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!
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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Erica Starr, Twitter
Friday, July 28, 2017
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Sunday, May 3, 2020
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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:
https://www.youtube.com/watch?v=2gxBoGJv5u4 "