ROTATIONS INTRODUCTION ROTATION Turns a shape about a

ROTATIONS INTRODUCTION ROTATION Turns a shape about a fixed point Three things you need to know 1) Direction 2) Angle Clockwise 90° Quarter turn 3) Centre of rotation Anti-clockwise 180° Half turn 270° Three-quarters turn The point where you rotate from. 360° Full turn

Rotate the shape 90˚ (a quarter turn) clockwise about the origin CLOCKWISE

Rotate the shape 90˚ (a quarter turn) clockwise about the origin CLOCKWISE

Rotate the shape 90˚ (a quarter turn) anti -clockwise about the point A ANTICLOCKWISE A

Rotation Rotate the shape 180˚ (half a turn) about the origin

Q 1 CLOCKWISE Rotate the shape 90˚ 90 clockwise about the origin B C D A ANTICLOCKWISE The correct answer is B Shane thought the answer was C. Why do you think he got this answer? What did he do wrong?

Q 1 Rotate the shape CLOCKWISE 90˚ 90 clockwise about the origin anti-clockwise B C D A ANTICLOCKWISE The correct answer is B Shane thought the answer was C. Why do you think he got this answer?

Q 2 Rotate the arrow CLOCKWISE 90˚ 90 anti-clockwise about the origin The correct answer is A Shane got it right this time but Lily thought the answer was D. Why do you think she got this answer? What did she do wrong? D BA C ANTICLOCKWISE

Q 2 Rotate the tiger 90 anti-clockwise 180˚ 180 90˚ CLOCKWISE about the origin The correct answer is A Shane got it right this time but Lily thought the answer was D. Why do you think she got this answer? What did she do wrong? D BA C ANTICLOCKWISE

9 Which shape shows the red shape rotated 90 o anticlockwise about the origin? 8 7 C 6 5 A 4 3 D -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 1 0 0 -1 -2 -3 -4 -5 -6 -7 -8 1 2 3 4 5 6 B 7 8 9 10

9 Which shape shows the red shape rotated 90 o clockwise about the origin? 8 7 6 5 C 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 0 -1 A -2 1 2 3 4 D -3 -4 -5 -6 -7 -8 B 5 6 7 8 9 10

9 Which shape shows the red shape rotated 180 o clockwise about the origin? 8 7 C 6 5 A 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 0 -1 D -2 -3 -4 -5 -6 -7 -8 1 2 3 4 5 6 B 7 8 9 10

Time to try some rotations! Follow these steps • Go to the centre of rotation, draw a cross on the paper • Put the tracing paper over your paper – draw the centre, the cross and the shape • Put your pencil on the centre, rotate the tracing paper until the cross is back on itself • Rotate once (90°) Rotate twice (180°) Rotate 3 times (270°)

ROTATIONS 1) 2) 3) 4) 5) 6)

ROTATIONS 1) 2) x 3) x x

ROTATIONS 4) 5) 6) x x x

Describing ROTATIONS A B Describe the transformation which takes shape A to B. A rotation 90° clockwise about the origin (0, 0). A x B Describe the transformation which takes shape A to B. A rotation 180° about the point (1, 3).

Describe fully the transformation that takes the green shape to the pink shape.

A reflection in the line x=0 or y-axis Describe fully the transformation that takes the green shape to the pink shape.

A reflection in the line y=0 or x-axis Describe fully the transformation that takes the green shape to the pink shape.

A rotation through 90° anticlockwise about the origin Describe fully the transformation that takes the green shape to the pink shape.

Describe fully the transformation that takes the green shape to the pink shape.

Describe fully the transformation that takes the green shape to the pink shape.

A rotation through 90° clockwise about the origin Describe fully the transformation that takes the green shape to the pink shape.

Describe fully the transformations from the shaded flag to P, Q and R