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Transformations

-. Transformations. y. x. x. x. x. Transformations. Menu. 1. Examples of different Transformation. Individual transformations explained plus sets of four descriptions to draw. 2. Transformation “Jungles”. Questions on diagrams containing a large

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Transformations

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  1. - Transformations y x x x x

  2. Transformations Menu 1. Examples of different Transformation Individual transformations explained plus sets of four descriptions to draw. 2. Transformation “Jungles” Questions on diagrams containing a large number of shapes. List the shapes that fit. 3. Predicting Activity (Three levels) Questions on diagrams containing a large number of shapes. List the shapes that fit.

  3. Transformations Menu Written descriptions only 1 - 4 5 - 8 A Translations 1 - 4 5 - 8 B Reflections 1 - 4 5 - 8 C Rotations 1 - 4 5 - 8 D Enlargements Descriptions and Diagrams A Translations 1 2 3 4 5 6 7 8 B Reflections 1 2 3 4 5 6 7 8 C Rotations 1 2 3 4 5 6 7 8 D Enlargements 1 2 3 4 5 6 7 8 Jungle 1 Question Menu Jungle 2. Question Menu Basic translations, reflections + rotations. 1 2 3 4 5 6 Basics + new lines of reflection ... 1 2 3 4 5 6 More enlargements, centres, SF’s etc. 1 2 3 4 5 6

  4. SLIDE CONTROL WHEN IN PRESENTATION MODE Pressing keys or clicking moves slides on. Pressing P goes to previous slide. Using menu slide, click on chosen button to go to that slide. Click on Menu button to return. In presentation mode, right click, then ‘help’ gives a full list of control options.

  5. What is this? What type of movement does this picture make you think of? Rotation

  6. What is this? What type of mapping does this picture make you think of? Reflection

  7. What about this? What type of mapping does this picture make you think of? Enlargement??

  8. What is this? What type of mapping does this picture make you think of? Translation

  9. Examples of Transformations • This section looks at various types of basic • transformation. • The written descriptions are given so that • drawings can be attempted before viewing. • The other part describes and demonstrates • each transformation one at a time. Written descriptions only Descriptions and Diagrams

  10. Translation of 7 to the right and 1 up Translation of 5 to the right and 2 up Translation of 2 to the right and 2 up Translation of 5 to the right and 3 down 7 5 2 5 1 2 2 - 3 Examples of Translations Use triangle with coordinates (-4 , 0 ) , ( -2 , 0) and ( -4 , 3 ) 1 2 3 4

  11. Translation of 0 across and 5 down Translation of 5 to the left and 1 up Translation of 4 to the left and 2 up Translation of 6 to the left and 4 down 0 - 5 - 4 - 6 - 5 1 2 - 4 Examples of Translations Use triangle with coordinates ( 2 , 0 ) , ( 4 , 0) and ( 2 , 3 ) 5 6 7 8

  12. Examples of Reflections Use triangle with coordinates (1 , 2 ) , ( 3 , 2) and ( 1 , 5 ) 1 Reflection in the x axis 2 Reflection in the y axis 3 Reflection in the line y = 1 4 Reflection in the line x = - 1

  13. Examples of Reflections Use triangle with coordinates ( 3 , 0 ) , ( 5 , 0) and ( 5 , 3 ) 5 Reflection in the line y = x 6 Reflection in the line x = 1.5 7 Reflection in the line y = x - 1 8 Reflection in the line y = - x

  14. Examples of Rotations Use L- shape with coordinates ( 1 , 0 ), ( 4 , 0), ( 4 , 2 ), ( 3 , 2 ), ( 3 , 1 ) and ( 1 , 1 ) 1 Rotation of + 90o about ( 0 , 0 ) 2 Rotation of + 180o about ( 0 , 0 ) 3 Rotation of - 90o about ( 0 , 0 ) 4 Rotation of + 90o about ( 1 , - 2 )

  15. Examples of Rotations Use L- shape with coordinates ( 1 , 0 ), ( 4 , 0), ( 4 , 2 ), ( 3 , 2 ), ( 3 , 1 ) and ( 1 , 1 ) 5 Rotation of + 90o about ( 2.5 , 0 ) 6 Rotation of 180o about ( 0 , 1 ) 7 Rotation of - 90o about ( 1 , 0 ) 8 Rotation of + 180o about ( 0 , 2 )

  16. Examples of Enlargements 1 2 (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 ) (0,-3), (3,-3), (3,-1) Enlargement of scale factor + 3 centre ( 2 , - 4 ) 3 (-3,2), (0,2), (0,4) Enlargement of scale factor + 2 centre ( - 5 , 3 ) 4 (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 )

  17. Examples of Enlargements 5 (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 ) 6 (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) 7 (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) 8 (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 )

  18. Translation of 5 to the right and 2 up 5 2 A1 y x Blue = Object Red = Image

  19. Translation of 7 to the right and 1 up 7 1 A2 y x Blue = Object Red = Image

  20. Translation of 2 to the right and 2 up 2 2 A3 y x Blue = Object Red = Image

  21. Translation of 5 to the right and 3 down 5 - 3 A4 y x Blue = Object Red = Image

  22. Translation of 0 across and 5 down 0 - 5 A5 y x Blue = Object Red = Image

  23. Translation of 4 to the left and 2 up - 4 2 A6 y x Blue = Object Red = Image

  24. Translation of 5 to the left and 1 up - 5 1 A7 y x Blue = Object Red = Image

  25. Translation of 6 to the left and 2 down - 6 - 4 A8 y x Blue = Object Red = Image

  26. B1 y Reflection in the x axis x Blue = Object Red = Image

  27. B2 y Reflection in the y axis x Blue = Object Red = Image

  28. B3 y Reflection in the line y = 1 x Blue = Object Red = Image

  29. B4 y Reflection in the line x = - 1 x Blue = Object Red = Image

  30. B5 y Reflection in the line y = x x Blue = Object Red = Image

  31. B6 y Reflection in the line x = 1.5 x Blue = Object Red = Image

  32. B7 y Reflection in the line y = x - 1 x Blue = Object Red = Image

  33. B8 y Reflection in the line y = - x x Blue = Object Red = Image

  34. + C1 y Rotation of + 90o about ( 0 , 0 ) x Blue = Object Red = Image

  35. + C2 y Rotation of + 180o about ( 0 , 0 ) x Blue = Object Red = Image

  36. + C3 y Rotation of - 90o about ( 0 , 0 ) x Blue = Object Red = Image

  37. + C4 y Rotation of + 90o about ( 1 , - 2 ) x x Blue = Object Red = Image

  38. + C5 y Rotation of 180o about ( 2.5 , 0 ) x x Blue = Object Red = Image

  39. + C6 y Rotation of 180o about ( 0 , 1 ) x x Blue = Object Red = Image

  40. + C7 y Rotation of - 90o about ( 1 , 0 ) x x Blue = Object Red = Image

  41. + C8 y Rotation of + 180o about ( 0 , 2 ) x x Blue = Object Red = Image

  42. D1 y x (-1,0), (3,2), (-1,2) Enlargement of scale factor + 2 centre ( 1 , 4 ) x Blue = Object Red = Image

  43. D2 y (0,-3), (3,-3), (3,-1) Enlargement of scale factor + 3 centre ( 2 , - 4 ) x x Blue = Object Red = Image

  44. D3 y x (-3,2), (0,2), (0,4) Enlargement of scale factor + 2 centre ( - 5 , 3 ) x Blue = Object Red = Image

  45. D4 y x (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 ) x Blue = Object Red = Image

  46. D5 y x (-3,0), (0,0), (0,2) Enlargement of scale factor + 2 centre ( - 5 , 3 ) x Blue = Object Red = Image

  47. D6 y (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) x x Blue = Object Red = Image

  48. D7 y y x (-1,1), (-1,-1), (3,1) Enlargement of scale factor + 1.5 centre ( 1 , 5 ) x x Blue = Object Red = Image

  49. D8 y y x (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 ) x Blue = Object Red = Image

  50. Transformation “Jungles” Click Here for Rules of Jungle • Each diagram shows a “Jungle” of shapes. • The challenge is to name the shapes that • fit the description. • There are often several answers. Jungle 1. Question Menu Jungle 2. Question Menu Return to Main Menu

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