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Transformations – Mixed – Higher – Relay Race
In this competitive activity, students work in teams to answer questions provided on small pieces of paper. Students should check their answers with the teacher (who can be anywhere in the room with their answer sheet). If students are correct they can collect the next numbered sheet (easily placed in piles face-up on a desk at the front). If students are wrong they can skip the question or be given 1 or more chances.
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Printing To print handouts from slides -
Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.
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Relay Race! Transformations
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1 2 3 4 C D A D D’ C B A B C A A B C’ C B Label new shapes
A’, B’, C’, D’… 2 Reflect shape A in the 𝑥-axis. C D Translate shape A by the vector 4 5 Reflect shape B in the 𝑦-axis. A D Translate shape B by the vector −2 6 D’ Reflect shape C in 𝑦=3 C B Translate shape C by the vector 0 −5 Describe the transformation: D to D’ A B Translate shape D by the vector −3 −8 3 Plot the line 𝑦=𝑥 4 Rotate shape A 180° about the origin. Reflect shape A In 𝑦=𝑥 C Rotate shape B 90° clockwise about (−1, − 1), reflect the new shape in 𝑦=−1 A A Plot the line 𝑦=−𝑥 CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). B Reflect shape B in 𝑦=−𝑥 C’ Describe the translation: C to C’ C Translate shape C by the vector −7 −4 , reflect the new shape in 𝑦=𝑥 B
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5 6 7 8 A B A B A A B B Enlarge shape A Enlarge shape A
by scale factor 1 2 centre of enlargement (3,2). A Enlarge shape A by scale factor 2 centre of enlargement (1,2). B A Enlarge shape B by scale factor 1 3 centre of enlargement (−4, −2). Rotate the new shape 180° about (0, − 2). Enlarge shape B by scale factor 3 centre of enlargement (−1, −9,) reflect the new shape in 𝑦=−𝑥 B 7 8 A Enlarge shape A by scale factor −2 centre of enlargement (−4,6). Enlarge shape A by scale factor − 1 2 centre of enlargement (−1,2). A CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). Enlarge shape B by scale factor −2 centre of enlargement (1, −5). Enlarge shape B by scale factor − 1 3 centre of enlargement (−2, −7). B B
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Teacher’s Answer Sheet
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1 2 3 4 Reflection in 𝑥=−4 C D C’ B’ A D A’ D’ C’ C D’ B A B B’ A’ C
Label new shapes A’, B’, C’, D’… 2 Reflect shape A in the 𝑥-axis. C D Translate shape A by the vector 4 5 C’ Reflect shape B in the 𝑦-axis. B’ A D A’ Translate shape B by the vector −2 6 D’ C’ Reflect shape C in 𝑦=3 C D’ B Translate shape C by the vector 0 −5 Describe the transformation: D to D’ A B B’ A’ Reflection in 𝑥=−4 Translate shape D by the vector −3 −8 3 Plot the line 𝑦=𝑥 4 Rotate shape A 180° about the origin. Reflect shape A In 𝑦=𝑥 C B’ Rotate shape B 90° clockwise about (−1, − 1), reflect the new shape in 𝑦=−1 A A Plot the line 𝑦=−𝑥 A’ CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). B Reflect shape B in 𝑦=−𝑥 C’ C’ B’ Describe the translation: C to C’ C Translate shape C by the vector −7 −4 , reflect the new shape in 𝑦=𝑥 A’ Rotation, 90° anti-clockwise around (6,5) B
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5 6 7 8 A A’ B A A’ B B’ B’ A A A’ B’ A’ B B B’ Enlarge shape A
by scale factor 1 2 centre of enlargement (3,2). A Enlarge shape A by scale factor 2 centre of enlargement (1,2). B A A’ Enlarge shape B by scale factor 1 3 centre of enlargement (−4, −2). Rotate the new shape 180° about (0, − 2). Enlarge shape B by scale factor 3 centre of enlargement (−1, −9,) reflect the new shape in 𝑦=−𝑥 B B’ B’ 7 8 A Enlarge shape A by scale factor −2 centre of enlargement (−4,6). Enlarge shape A by scale factor − 1 2 centre of enlargement (−1,2). A CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). A’ B’ A’ Enlarge shape B by scale factor −2 centre of enlargement (1, −5). Enlarge shape B by scale factor − 1 3 centre of enlargement (−2, −7). B B B’
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tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!? Any feedback would be appreciated . Please feel free to
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