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

A vector can be used to describe a translation.

Describing a translation

Maths

Checking understanding of basic transformations

Introduction to translation

Translating objects

Introduction to rotations

Describing a rotation's direction and size

Understanding the centre of rotation

Rotating objects

Introduction to reflections

Describing a reflection

Reflecting objects

Introduction to enlargements

Describing an enlargement

Enlarging objects

Transformed objects

Investigating transformations with Desmos

Investigating transformations with GeoGebra

Problem solving with transformations

In this unit, pupils explore the effects of different transformations and whether the transformed shape is congruent or similar to the original shape. This is built on in the future unit where pupils formalise the criteria for determining congruence in triangles and study rotational symmetry

In this unit, pupils translated and reflected simple shapes on the full coordinate grid. In this unit, these processes are formalised and rotation and enlargement are introduced

This unit introduces pupils to shape tranformations: enlargements, rotations, reflections and translations both by hand and with technology.

Transformations

Displacement is the {{ }} from the starting point when measured in a straight line. 

$${2\choose 1}$$ is a column vector. It has two numbers. Match each number with its meaning.

Which of the following shows a translation by $${2 \choose -3}$$?

A triangle ABC is translated. The corresponding coordinates are A(1,5) and $$A^{\prime}$$(2,7), B(5,8) and $$B^{\prime}$$(6, 10).  C has coordinates (4,7). Work out the coordinates of the image of C.

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

Which of these images do not show a translation?

Which one of the following shapes cannot be translated onto one of the other shapes? [IMG 7.10.3.s3]

When a translation takes place, the invariant properties of a shape are

Which of these contains a non-translated shape?

Which of the figures matches Alex’s description?

Describing a translation

Lesson outcome