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

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

A vector can be used to describe a translation.

The object is the starting figure, before a transformation has been applied.

The image is the resulting figure, after a transformation has been applied.

Checking and securing understanding of translation

Maths

Checking and securing understanding of congruence and similarity

Checking and securing understanding of rotation

Checking and securing understanding of reflection

Checking and securing understanding of enlargement with positive integer scale factors

Checking and securing understanding of enlargement with positive fractional scale factors

Multiple transformations

Identifying multiple transformations

Problem solving with further transformations

In this unit, pupils enhanced their understanding of enlargement. In this future unit, pupils investigate the effect of an enlargement on the perimeter and area of a 2-D shape and the volume of a 3-D shape. 

In the prior unit, pupils learnt about the different types of transformations. In this unit, pupils' knowledge is extended as negative scale factors are considered as are multiple transformations.

In this unit pupils apply their knowledge of transformations to explore negative enlargement factors and the application of multiple transformations.

Further transformations

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

Select the diagrams that show a translation.

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

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

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

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

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

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

Match each description to the correct vector.

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

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

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

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

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?

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

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

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

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

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

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

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

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.

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

Checking and securing understanding of translation

Lesson outcome