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

Transformation - A transformation is a process that may change the size, orientation or position of a shape.
Translation - Translation is a transformation in which every point of a shape moves the same distance in the same direction.
Vector - A vector can be used to describe a translation.
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.

If the classroom is set up in rows and columns, you could check understanding of the column vectors by asking for the vector that would translate one pupil on to the chair of another pupil.

Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.

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

Correct Answer: position, location

Q2.

Select the pieces of information that are required to fully describe a rotation.

Correct answer: angle

Correct answer: centre

Correct answer: direction

position

size

Q3.

Shape c has been rotated 180°clockwise about (-2, 2). The image is shape .

Correct Answer: a

Q4.

Match together equivalent rotations.

Correct Answer:90° clockwise,270° anti-clockwise

270° anti-clockwise

Correct Answer:360° clockwise,720° anti-clockwise

720° anti-clockwise

Correct Answer:270° anti-clockwise,450° clockwise

450° clockwise

Correct Answer:180° anti-clockwise,180° clockwise

180° clockwise

Q5.

Shape is congruent to shape A.

Correct Answer: B

Q6.

Select the correct statements.

Shape d has been rotated 90° clockwise about (-2, 2). The image is shape c.

Correct answer: Shape d has been rotated 90° anti-clockwise about (-2, 2). The image is shape c.

Shape d has been rotated 180° clockwise about (-2, 2). The image is shape a.

Shape b has been rotated 90° clockwise about (-2, 2). The image is shape a.

Correct answer: Shape b has been rotated 270° clockwise about (-2, 2). The image is shape a.

Exit quiz

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6 Questions

Q1.

A is a transformation in which every point of a shape moves the same distance in the same direction.

Correct Answer: translation

Q2.

Select the diagrams that show a translation.

Correct Answer: An image in a quiz

Q3.

Match each description to the correct vector.

Correct Answer:2 left and 3 down,$$\begin{pmatrix} -2 \\ -3 \\ \end{pmatrix}$$

$$\begin{pmatrix} -2 \\ -3 \\ \end{pmatrix}$$

Correct Answer:2 right and 3 up,$$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$

$$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$

Correct Answer:3 left and 2 up,$$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$

$$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$

Correct Answer:3 right and 2 down,$$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$

$$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$

Correct Answer:2 left and 3 up,$$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$

$$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$

Correct Answer:3 right and 2 up,$$\begin{pmatrix} 3 \\ 2 \\ \end{pmatrix}$$

$$\begin{pmatrix} 3 \\ 2 \\ \end{pmatrix}$$

Q4.

The point P(4, 3) is translated by the vector $$\begin{pmatrix} 2 \\ -1 \\ \end{pmatrix}$$ to P'. What are the coordinates of P'?

(6, 4)

(2, 2)

(8, 6)

Correct answer: (6, 2)

(2, 4)

Q5.

Shape P is translated onto shape Q by the vector $$\begin{pmatrix} 2 \\ -3 \\ \end{pmatrix}$$. What transformation will map shape Q onto shape P?

Translation by $$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$

Translation by $$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$

$$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$

Correct answer: $$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$

$$\begin{pmatrix} 2 \\ -3 \\ \end{pmatrix}$$

Q6.

Select the correct statements.

Correct answer: A is translated by $$\begin{pmatrix} 4 \\ 1 \\ \end{pmatrix}$$ onto D

D is translated by $$\begin{pmatrix} 2 \\ 1 \\ \end{pmatrix}$$ onto F

Correct answer: F is translated by $$\begin{pmatrix} -2 \\ 2 \\ \end{pmatrix}$$ onto E

E is translated by $$\begin{pmatrix} 1 \\ -1 \\ \end{pmatrix}$$ onto C

C is translated by $$\begin{pmatrix} 2 \\ 0 \\ \end{pmatrix}$$ onto B