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 :: Index of Starters SuggestedWhich Transformation? Identify which simple transformations these diagrams represent.
Curriculum for Transformations:Year 5Pupils 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 6Pupils should be taught to draw and translate simple shapes on the coordinate plane, and reflect them in the axes more... Years 7 to 9Pupils should be taught to identify properties of, and describe the results of, translations, rotations and reflections applied to given figures more... Pupils should be taught to identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids more... Years 10 and 11Pupils should be taught to interpret and use fractional {and negative} scale factors for enlargements more... 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... Exam-Style Questions:There are almost a thousand exam-style questions unique to the Transum website. Feedback:Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million." 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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. Transformations Teacher Resources:Rotation Visual Aid: A Geogebra manipulative that shows the effect of rotating an object with a moveable centre of rotation. Transformations of Functions: A visual aid showing how various transformations affect the graph of a function. Transformations Activities:Which Transformation?: Identify which simple transformations these diagrams represent. Alpha Twist: Develop your skills and understanding of rotation in this fast-paced challenge. Transformation Tetris: Develop your skills translating and rotating shapes in this fast paced classic game. 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. Rotational Symmetry Pairs: The traditional pairs or pelmanism game adapted to test knowledge of rotational symmetry. Blow Up: Click on all the points that could be the centre of enlargement of the shape if the image does not go off the grid. 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:Tridots: Find all the triangles that can be drawn by joining dots on a 3 by 3 grid of dots. Tessellations: Drag the shapes onto the canvas to create tessellating patterns then try the tessellations quiz. Transformations Videos:
Transformations Song: The four basic transformations have been put to music! Transformations Video: A demonstration of the four basic transformations: reflection, translation, rotation and enlargement. 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 Worksheets/Printables:Mixed Transformations: A worksheet containing mixed transformations questions and a grid for drawing the solutions on. Cat Face Reflections: A worksheet containing pictures and shapes to be reflected in given lines. 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: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
OtherIs there anything you would have a regular use for that we don't feature here? Please let us know. SuggestedBlow Up Click on all the points that could be the centre of enlargement of the shape if the image does not go off the grid.
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Wednesday, October 30, 2024
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