Presentation is loading. Please wait.

Presentation is loading. Please wait.

Transformations y - x x x x.

Similar presentations


Presentation on theme: "Transformations y - x x x x."— Presentation transcript:

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 Written descriptions only Descriptions and Diagrams
Transformations Menu Written descriptions only A Translations 1 - 4 5 - 8 B Reflections 1 - 4 5 - 8 C Rotations 1 - 4 5 - 8 D Enlargements 1 - 4 5 - 8 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? Rotation What type of movement does this
picture make you think of? Rotation

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

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

8 What is this? Translation
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 Examples of Translations
Use triangle with coordinates (-4 , 0 ) , ( -2 , 0) and ( -4 , 3 ) 1 5 2 Translation of 5 to the right and 2 up 2 7 1 Translation of 7 to the right and 1 up 3 2 Translation of 2 to the right and 2 up 4 5 - 3 Translation of 5 to the right and 3 down

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

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 1 2 3 4 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 5 6 7 8 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 (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 ) 2 (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 A1 y x 5 Translation of 5 to the right and 2 up 2 Blue = Object
Red = Image

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

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

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

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

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

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

25 A8 y x - 6 Translation of 6 to the left and 2 down - 4 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 x Rotation of + 90o about ( 1 , - 2 ) x Blue = Object
Red = Image

38 + C5 y x Rotation of 180o about ( 2.5 , 0 ) 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 x x Rotation of + 180o about ( 0 , 2 ) Blue = Object
Red = Image

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

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

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

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

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

47 D6 y x (-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 x 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 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 Question Menu Jungle Question Menu Return to Main Menu

51 Transformation Jungle 1
1. Reflection in the y axis 2. Translations 3. Rotations of 180o about (0,0) 4. Reflection in the x axis 5. Rotation of 90o about (0,0) 6. Rotation of 180o about (7,0) 7. Reflections in the x = c lines 8. Possible “glide reflections”

52 1. Reflection in the y axis
B D K A F H L I J C G Return to Questions

53 1. Reflection in the y axis
B D K A F H L I J C G Return to Questions

54 2. Translations x y 1 E B D K A F H L I J C G Return to Questions

55 2. Translations x y 1 E B D K A F H L I J C G Return to Questions

56 1 E B D K A F H L I J C G 3. Rotations of 180o about (0,0) y x
Return to Questions

57 1 E B D K A F H L I J C G 3. Rotations of 180o about (0,0) y x
Return to Questions

58 4. Reflection in the x axis
y 1 E B D K A F H L I J C G Return to Questions

59 4. Reflection in the x axis
y 1 E B D K A F H L I J C G Return to Questions

60 1 E B D K A F H L I J C G 5. Rotations of 90o about (0,0) y x
Return to Questions

61 1 E B D K A F H L I J C G 5. Rotations of 90o about (0,0) y x
Return to Questions

62 1 E B D K A F H L I J C G 6. Rotation of 180o about (7,0) y x
Return to Questions

63 1 E B D K A F H L I J C G 6. Rotation of 180o about (7,0) y x
Return to Questions

64 7. Reflection in the x = c lines
y 1 E B D K A F H L I J C G Return to Questions

65 7. Reflection in the x = c lines
y 1 E B D K A F H L I J C G Return to Questions

66 8. Possible “glide reflections”
x y 1 E B D K A F H L I J C G Return to Questions

67 8. Possible “glide reflections”
x y 1 E B D K A F H L I J C G Return to Questions

68 Transformation Jungle 2
1. Rotation of 180o about (0,0) 2. Reflections in the y = c lines 3. Rotations of 90o about (0,0) 4. Translations 5. Reflections in the x = c lines 6. Rotations of 180o Rotations of 90o 8. Possible “glide reflections”

69 2 B D L F K A H I G C J E M 1. Rotation of 180o about (0,0) y x
Return to Questions

70 2 B D L F K A H I G C J E M 1. Rotation of 180o about (0,0) y x
Return to Questions

71 2 B D L F K A H I G C J E M 2. Reflection y = c lines y x Return to
Questions

72 2 B D L F K A H I G C J E M 2. Reflection y = c lines y x Return to
Questions

73 2 B D L F K A H I G C J E M 3. Rotations of 90o about (0,0) y x
Return to Questions

74 2 B D L F K A H I G C J E M 3. Rotations of 90o about (0,0) y x
Return to Questions

75 4. Translations x y 2 B D L F K A H M I G C J E Return to Questions

76 4. Translations x y 2 B D L F K A H M I G C J E Return to Questions

77 2 B D L F K A H I G C J E M 5. Reflection x = c lines y x Return to
Questions

78 2 B D L F K A H I G C J E M 5. Reflection x = c lines y x Return to
Questions

79 2 B D L F K A H I G C J E M 6. Rotations of 180o y x Return to
Questions

80 2 B D L F K A H I G C J E M 6. Rotations of 180o y x Return to
Questions

81 2 B D L F K A H I G C J E M 7. Rotations of 90o y x Return to
Questions

82 2 B D L F K A H I G C J E M 7. Rotations of 90o y x Return to
Questions

83 8. Possible “glide reflections”
x y 2 B D L F K A H M I G C J E Return to Questions

84 8. Possible “glide reflections”
x y 2 B D L F K A H M I G C J E Return to Questions

85 Transformation Challenges
Descriptions and Diagrams Written descriptions only 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

86 Transformation Challenge A1
y Reflect in the y -axis Reflect in the x -axis x Translate 6 left and 5 down. Blue = Object

87 Transformation Challenge A2
y Translate 0 right and 5 up Reflect in the y -axis x x Rotate 180o about (0,0). Blue = Object

88 Transformation Challenge A3
y - Translate 5 right and 3 down Reflect in the y -axis x x Rotate - 90o about (0,0). Blue = Object

89 Transformation Challenge A4
y Rotate + 90o about (0,0) Rotate 180o Reflect in the y axis + x x x Blue = Object

90 Transformation Challenge A5
y Translate 6 left and 5 up Rotate 180o about (3,-2) Reflect in the x axis x x Blue = Object

91 Transformation Challenge A6
y Rotate 180o about (0,0) Rotate + 90o Reflect in the x axis + x x x Blue = Object

92 Transformation Challenge B1
y Rotate 180o about (0,-1) Rotate + 90o about (0,0) Reflect in the line y = - 1 + x x x Blue = Object

93 Transformation Challenge B2
y Rotate 180o about (0,0) Rotate + 90o about (0,0) x x x x x + Rotate 180o about (-2,0) Blue = Object

94 Transformation Challenge B3
y + Reflect in y = 1 Rotate + 90o about (1,1) Reflect in the line y = - x (Tricky?) x x Blue = Object

95 Transformation Challenge B4
y Reflect in the line x = - 0.5 Reflect in the line y = x - x x Rotate - 90o about (1,-1) Blue = Object

96 Transformation Challenge B5
y Reflect in the line y = x Rotate - 90o about (-1,0) line y = - x - x x Blue = Object

97 Transformation Challenge B6
y Rotate 180o about (-1,-1) Reflect in the line y = x + 1 Enlarge by scale factor + 2, centre (2,4) x x x Blue = Object

98 Transformation Challenge C1
y Rotate - 90o about (-4,1) Enlarge by scale factor +0.5 centre (3,-1) Rotate 180o about (1,0) - x x x x Blue = Object

99 Transformation Challenge C2
y Rotate 180o about (-1.5,0.5) Reflect in the line x + y = 2 Enlarge by scale factor + 2, centre (- 5,0) x x x Blue = Object

100 Transformation Challenge C3
y + x Enlarge by scale factor + 3, centre (4,5) Rotate 180o about (-0.5,0.5) Rotate + 90o about (-1,0) x x x Blue = Object

101 Transformation Challenge C4
y x x Enlarge by scale factor +0.5, centre (- 5,5) S.F , centre (-1,4) Rotate - 90o about (3,1) - x x Blue = Object

102 Transformation Challenge C5
y Rotate 180o centre (-1,0) Enlarge by S.F. + 3, centre (1,- 5) Rotate - 90o about (2,- 5) x x - x x Blue = Object

103 Transformation Challenge C6
y Enlarge by scale factor + 2, centre (- 1,4) Rotate - 90o about (0,- 3) Rotate 180o about (-1,2.5) x x - x x Blue = Object


Download ppt "Transformations y - x x x x."

Similar presentations


Ads by Google