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Co-ordinates & Translations

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The objective of this lesson is: To plot a shape and translate it for a given rule. To work out the translation from its original position to a new position. To give the coordinates of a given shape after a translation without drawing the translation.

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Translations 1. Translate A Move A 4 squares forward then 3 squares up. 1 2. Translate A Move A 7 squares backward then 6 squares down. 2

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Translations 3. Translate A Move A 2 squares forward then 6 squares down. 4. Translate A Move A 6 squares backward then 2 squares up. 4 3

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Translations In the diagram above the shape labelled 1 can be obtained by a translation. Give the translation in the form Number of squares forward. Number of squares down. Translation 1234567 x 1 1 2 3 4 y 0 7 6 5 4 3 2 1 A 2 3 4 1 2 2 7

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Translations In the diagram above the shape labelled 2 can be obtained by a translation. Give the translation in the form Number of squares back. Number of squares down. Translation 1234567 x 1 1 2 3 4 y 0 7 6 5 4 3 2 1 A 2 3 4 1 2 2 5

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Translations T Translate the shape T using What are the new coordinates of the triangle? How can you work them out without drawing a grid or the shape?

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Translations Translate the shape T using Just add 8 to the x coordinate and take 6 from the y coordinate. How to work out the coordinates without drawing a grid or the shape? Explain in your exercise book how to get from the left hand coordinate to the right hand coordinate.

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Plenary You should be able to give the coordinates of a given shape after a translation without drawing the translation. You should be able to plot a shape and translate it. You should be able to look at two shapes and work out the translation required to get from one to the other.

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A B CA’ B’ C’ Similar Shapes The following diagram shows an enlargement by a scale factor 3 of triangle ABC Note Each length on the enlargement A’B’C’

A B CA’ B’ C’ Similar Shapes The following diagram shows an enlargement by a scale factor 3 of triangle ABC Note Each length on the enlargement A’B’C’

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