Checking and securing understanding of rotation | Maths

Starter quiz

A ______ is a process that may change the size, orientation or position of a shape.

'transformation' ✓
If one shape can fit exactly on top of another using ______, reflection or translation, then the shapes are congruent.

'rotation' ✓
Select the transformation that does not always produce an image that is congruent to the object.

enlargement ✓

reflection

rotation

translation
Some Oak pupils are discussing whether these two triangles are congruent. Who is correct?

Aisha: "The two triangles have the same angles so they are congruent."

Laura: "They do not have the same angles so they are not congruent."

Lucas: "They have the same angles but we need $x$ and $y$ for congruence."

Sofia: "They have the same angles but we need $x$ OR $y$ for congruence." ✓
Shapes A and B are congruent. The length of the side marked $y$ is ______ cm.

'15' ✓
Quadrilaterals A and B are similar. The length of the side marked $y$ is ______ cm.

'18' ✓

The fixed point about which an object is rotated is called the __________.

centre

centre of enlargement ✓

centre of rotation

centre of turn

mirror line
Shape a has been rotated 90° anti-clockwise about (-2, 2). The image is shape ______.

'd' ✓
Match together equivalent rotations.

90° anti-clockwise

⇔

270° clockwise ✓

180° clockwise

⇔

180° anti-clockwise ✓

270° anti-clockwise

⇔

90° clockwise ✓

360° anticlockwise

⇔

360° clockwise ✓
Describe the transformation that maps shape A onto shape B.

Rotation of 90° anti-clockwise about (1, 2) ✓

Rotation of 90° clockwise about (1, 2)

Rotation of 90° anti-clockwise about (2, 1)

Rotation of 90° clockwise about (2, 1)
The transformation that maps shape A onto shape B is a rotation of ______° clockwise about (0, 0).

'270' ✓
The transformation that maps shape A onto shape B is a rotation 90° clockwise about ______.

'(-2, 0)' ✓

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Tracing paper can be a helpful tool to perform a rotation.
The image and the object should be congruent.
Unless a full rotation occurs, the object and its image will not have the same orientation.
Clockwise is the direction the hands of a clock travel in.
To rotate, you need the centre, direction and angle of rotation.

Pupils may rotate in the opposite direction to the stated direction.

Encourage pupils to read the question twice and highlight the key pieces of information before starting the question.

Transformation - A transformation is a process that may change the size, orientation or position of a shape.
Rotation - The rotation of an object is the turning of an object by a fixed amount and around a fixed point (called the centre of rotation), without the image being flipped or its size changing.
Centre of rotation - The centre of rotation is the fixed point about which an object is rotated.
Object - The object is the starting figure, before a transformation has been applied.
Image - The image is the resulting figure, after a transformation has been applied.