Describing rotations

The Maths Habit

Write the coordinates of the cross. Across, then up.

1012345612345xy(3, 2)
2012345612345xy(1, 4)
3012345612345xy(5, 3)

Shape A moves to shape B. Which one is a turn?

1AB
2AB
3AB

3. It turns upside down. In 1 it slides and in 2 it flips.

0123451234xyAB
Rotation
A turn of a shape about a point.
0123451234xy
Centre of rotation
The point the shape turns about. Here it is the cross.
180°
A half turn.
90° clockwise
A quarter turn, the way the hands of a clock go.

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (5,4)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (4,3)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (5,4)

Describe fully the rotation.

01234567891234567xyAB
01234123xy1Read the cross: across, then up.2Trace shape A and the cross.3Turn the paper until A lands on B.Half turn: 180°. Quarter turn clockwise: 90° clockwise.
3TurnRotation 180°/90° clockwise
1Readabout (4,3)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (5,4)

Describe fully the rotation.

01234567891234567xyAB
01234123xy1Read the cross: across, then up.2Trace shape A and the cross.3Turn the paper until A lands on B.Half turn: 180°. Quarter turn clockwise: 90° clockwise.
3TurnRotation 180°/90° clockwise
1Readabout (4,4)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (5,4)

Describe fully the rotation.

01234567891234567xyAB
01234123xy1Read the cross: across, then up.2Trace shape A and the cross.3Turn the paper until A lands on B.Half turn: 180°. Quarter turn clockwise: 90° clockwise.
3TurnRotation 180°/90° clockwise
1Readabout (5,3)

A turns about the cross to B. Half turn or quarter turn clockwise?

1ABQuarter turn
2ABHalf turn
3ABHalf turn
4ABQuarter turn

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (4,4)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (5,2)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (4,4)

Describe fully the rotation.

01234567891234567xyAB
01234123xy1Read the cross: across, then up.2Trace shape A and the cross.3Turn the paper until A lands on B.Half turn: 180°. Quarter turn clockwise: 90° clockwise.
3TurnRotation 180°/90° clockwise
1Readabout (3,3)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (4,4)

Describe fully the rotation.

01234567891234567xyAB
01234123xy1Read the cross: across, then up.2Trace shape A and the cross.3Turn the paper until A lands on B.Half turn: 180°. Quarter turn clockwise: 90° clockwise.
3TurnRotation 180°/90° clockwise
1Readabout (5,4)

Describe fully the rotation.

01234567891234567xyAB
3TurnRotation 180°/90° clockwise
1Readabout (4,4)

Describe fully the rotation.

01234567891234567xyAB
01234123xy1Read the cross: across, then up.2Trace shape A and the cross.3Turn the paper until A lands on B.Half turn: 180°. Quarter turn clockwise: 90° clockwise.
3TurnRotation 180°/90° clockwise
1Readabout (5,3)

Is the description right? Thumbs up or thumbs down.

ARotation 180° about (5, 4)01234567891234567xyABYes
BRotation 90° clockwise about (2, 3)01234567891234567xyABNo: across first, so (3, 2)
CRotation 90° clockwise about (4, 3)01234567891234567xyABNo: it is a half turn, 180°
DRotation 90° clockwise about (4, 4)01234567891234567xyABYes

Describing rotations worksheet, page 1

Describing rotations worksheet, page 2

Answer sheet

  1. A shape turns 90° anticlockwise. Which clockwise turn does the same?

    270° clockwise
  2. A half turn takes P (1, 4) to P′ (7, 4). Where is the centre of rotation?

    (4, 4), halfway
  3. P (6, 3) turns 180° about (4, 3). Where does P land?

    (2, 3)

  1. Describe fully the rotation. 3TurnRotation 180°/90° clockwise1Readabout (4,3)

    0123456712345xyAB
  2. Describe fully the rotation. 3TurnRotation 180°/90° clockwise1Readabout (3,2)

    012345612345xyAB
  3. Describe fully the rotation.

    Rotation 180° about (3, 2)
    01234561234xyAB
Exit tickets to print