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

Enlargement is a transformation that causes a change of size.

A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.

The centre of enlargement is the point from which a shape is enlarged.

Checking and securing understanding of enlargement with positive fractional scale factors

Maths

Checking and securing understanding of congruence and similarity

Checking and securing understanding of rotation

Checking and securing understanding of translation

Checking and securing understanding of reflection

Checking and securing understanding of enlargement with positive integer 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

Shape B is enlarged to give shape A. What is the scale factor of this enlargement?

Which diagram shows a correct enlargement from the marked centre of enlargement?

Shape A is enlarged to give shape B. What is the scale factor of this enlargement?

Shape A is enlarged to give shape B. What is the centre of the enlargement?

An enlargement scale factor $$\frac{1}{2}$$, centre (-1, 2)

An enlargement scale factor $$2$$, centre (-1, 2)

An enlargement scale factor $$2$$, centre (-2, -1)

An enlargement scale factor $$\frac{1}{2}$$, centre (-2, -1)

An enlargement scale factor $$\frac{1}{2}$$

Describe the transformation that maps shape A onto shape B.

__________ will produce an image that is similar to the object.

Shape A is enlarged to give shape B. The scale factor of this enlargement is {{}}.

These two shapes are an enlargement of each other. The missing length is {{ }} cm.

Shape A is enlarged by scale factor 2, centre (-4, 4) to give shape B. Select the points that should be joined to give shape B.

Checking and securing understanding of enlargement with positive fractional scale factors

Lesson outcome