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Penair School Menu x y x x - x Transformations

Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

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Page 1: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

x

y

xx-

x

Transformations

Page 2: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

Transformations

1. Examples of different Transformation

2. Transformation “Jungles”

3. Predicting Activity (Three levels)

Individual transformations explained plus sets of four descriptions to draw.

Questions on diagrams containing a large number of shapes. List the shapes that fit.

Questions on diagrams containing a large number of shapes. List the shapes that fit.

Menu

Page 3: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

What is this?

What type of movement does this picture make you think of?

Rotation

Page 4: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

What is this?

What type of mapping does this picture make you think of?

Reflection

Page 5: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

What about this?

What type of mapping does this picture make you think of?

Enlargement??

Page 6: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

What is this?

What type of mapping does this picture make you think of?

Translation

Page 7: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A1

x

y

Blue = ObjectRed = Image

5

2 Translation of

5 to the right and 2 up

Page 8: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A2

x

y

Blue = ObjectRed = Image

7

1 Translation of

7 to the right and 1 up

Page 9: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A3

x

y

Blue = ObjectRed = Image

2

2 Translation of

2 to the right and 2 up

Page 10: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A4

x

y

Blue = ObjectRed = Image

5

- 3 Translation of

5 to the right and 3 down

Page 11: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A5

x

y

Blue = ObjectRed = Image

0

- 5 Translation of

0 across and 5 down

Page 12: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A6

x

y

Blue = ObjectRed = Image

- 4

2 Translation of

4 to the left and 2 up

Page 13: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A7

x

y

Blue = ObjectRed = Image

- 5

1 Translation of

5 to the left and 1 up

Page 14: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

A8

x

y

Blue = ObjectRed = Image

- 6

- 4 Translation of

6 to the left and 2 down

Page 15: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B1

x

y

Blue = ObjectRed = Image

Reflection in the x axis

Page 16: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B2

x

y

Blue = ObjectRed = Image

Reflection in the y axis

Page 17: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B3

x

y

Blue = ObjectRed = Image

Reflection in the line y = 1

Page 18: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B4

x

y

Blue = ObjectRed = Image

Reflection in the line x = - 1

Page 19: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B5

x

y

Blue = ObjectRed = Image

Reflection in the line y = x

Page 20: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B6

x

y

Blue = ObjectRed = Image

Reflection in the line x = 1.5

Page 21: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B7

x

y

Blue = ObjectRed = Image

Reflection in the line y = x - 1

Page 22: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

B8

x

y

Blue = ObjectRed = Image

Reflection in the line y = - x

Page 23: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

C1

x

Blue = ObjectRed = Image

Rotation of + 90o

about ( 0 , 0 )

y

+

Page 24: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

C2

x

y

Blue = ObjectRed = Image

Rotation of + 180o

about ( 0 , 0 ) +

Page 25: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

C3

x

y

Blue = ObjectRed = Image

Rotation of - 90o

about ( 0 , 0 ) +

Page 26: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

D1

x

y

Blue = ObjectRed = Image

(-1,0), (3,2), (-1,2) Enlargement of scale factor + 2 centre ( 1 , 4 )

x

Page 27: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

8. Possible “glide reflections”

x

y

A

LF

I G

K

B

JE

2D

C

H M

Return to Questions

Page 28: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

Transformation Challenge C1

Rotate - 90o

about (-4,1)

Enlarge by scale factor +0.5centre (3,-1)

Rotate 180o

about (1,0)

x

y

Blue = Object

xx-

x

Page 29: Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Penair School

Menu

Transformation Challenge C6

Enlarge by scale factor + 2,centre (- 1,4)

Rotate - 90o

about (0,- 3)

Rotate 180o

about (-1,2.5)

x

y

Blue = Object

x

x

x

-