Checking and securing understanding of translations | Maths

Starter quiz

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

'position' ✓
Which of the following is not a transformation?

enlargement

reflection

refraction ✓

rotation

translation
Which is the correct mathematical term for a shape that can fit exactly on top of another using rotation, reflection or translation?

exact

identical

perfect

congruent ✓

similar
Which of the following happens when a translation takes place?

changes size

turning

flipping

sliding ✓

changes size and position
Which of the following is used to describe a translation?

angle

direction

scale factor

vector ✓

line
A point where two or more line segments meet is called a ______.

'vertex' ✓

Exit quiz

Displacement is the distance from the starting point when measured in a ______ line.

'straight' ✓
Match each vector to the displacement it describes.

$4\choose-3$

⇔

4 right, 3 down ✓

$4\choose3$

⇔

4 right, 3 up ✓

$-4\choose-3$

⇔

4 left, 3 down ✓

$-4\choose3$

⇔

4 left, 3 up ✓
Which is the correct vector to translate the tail to the correct place on the elephant?

$2\choose4$

$2\choose-4$ ✓

$-2\choose4$

$-2\choose-4$
Which is the correct vector to translate A to A'?

$5\choose-2$

$-2\choose-5$

$5\choose2$ ✓

$-5\choose-2$

$-5\choose2$
Which is the correct vector to translate A to A'?

$-2\choose3$

$3\choose-2$

$-3\choose2$ ✓

$-2\choose-3$

$-3\choose-2$
Translate shape ABC by $-4\choose1$ .

Worksheet

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Video

Lesson Details

Key learning points

It can be helpful to choose a vertex and translate that.
Once all the vertices have been translated, the image can be drawn.
The image and the object should be congruent.
To translate, you need to know the distance left/right and up/down to move.

Common misconception

Pupils may write or read the column vector incorrectly by thinking the top element is for the vertical movement and the bottom element is for the horizontal movement.

Remind pupils that coordinates are horizontal before vertical and that is the same on a column vector.

Keywords

Translation - Translation is a transformation in which every point of a shape moves the same distance in the same direction.
Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
Vector - A vector can be used to describe a translation.
Vertex - A vertex is the point where two or more line segments meet. The plural is vertices.
Displacement - Displacement is the distance from the starting point when measured in a straight line.