The rotation of an object is the turning of an object by a fixed amount and around a fixed point (called the centre of rotation).

Introduction to rotations

Maths

Checking understanding of basic transformations

Introduction to translation

Describing a translation

Translating objects

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

In which direction will this vehicle be facing when it is rotated so its wheels touch the road?

Which of these objects, when rotated by a quarter-turn, will fit into the space in this shape to complete a rectangle?

Complete this sentence: "When an object is rotated, the lengths of its sides are invariant. This means the lengths of the sides remain {{ }} ."

The object hasn't been rotated to become its image.

The object has been translated right to become its image.

The object has been rotated through a half turn to become its image.

Orientation always changes when objects are translated.

Orientation always changes when objects are rotated by less than a full turn.

Sam transforms an object and its orientation changes. Which of these describes why the orientation has changed?

Which of these is a rotation of this object?

Explain why the position of an object doesn't always change after a rotation.

{{ }} is the process by which an object is changed into its image by moving, sliding, turning, flipping or stretching.

When a vertex is labelled $$E^{\prime}$$, it means the __________ of E.

A shape that hasn't changed location after a translation has been applied.

A property of a mathematical object that hasn't changed after a transformation.

A property of a mathematical object that has changed after a transformation.

A property of a vertex that moves after a transformation.

What does the term "invariant property" mean?

Which properties are invariant when an object is translated?

Which of these shows an arrow that has been turned round?

Introduction to rotations

Lesson outcome