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 integer 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 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

An enlargement will produce an image that is __________ 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 to give shape B. What is the centre of the enlargement?

Shape A is enlarged by scale factor 2, centre (6, 6) to give shape B. Select the points that should be joined to give shape B.

A {{}} of a shape is the mirror image of the shape.

Which of these diagrams do NOT show a reflection?

Two shapes are similar if the only difference between them is their __________. Their side lengths are in the same proportions. 

Which of these diagrams show a reflection?

Quadrilaterals A and B are similar. The length of the side marked $$z$$ is {{ }} cm.

Rectangle B is an enlargement of rectangle A by scale factor 2. Rectangle A has perimeter = 18 cm and area = 18 cm². Both rectangles have integer side lengths. Find the area and perimeter of B.

Checking and securing understanding of enlargement with positive integer scale factors

Lesson outcome