The centre of rotation is the fixed point about which an object is rotated.

Understanding the centre of rotation

Maths

Checking understanding of basic transformations

Introduction to translation

Describing a translation

Translating objects

Introduction to rotations

Describing a rotation's direction and size

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

Which of these is the centre of rotation for this rotation?

Which of the following complete the full and accurate description of this anti-clockwise rotation?

Which of the following complete the full and accurate description of this clockwise rotation?

An object is rotated by 180°. A pair of corresponding vertices on the object and image are joined with a line segment. Find the coordinates of the centre of rotation. {{ }}

Which of the following complete the full and accurate description of this rotation?

In which direction is this object being rotated?

This arrow is currently pointing in the W (west) compass direction. If this arrow is rotated clockwise, what is the first compass direction that it passes through?

Match the size an angle in degrees to its description.

Sofia stands on the spot and rotates clockwise by a half turn and then rotates clockwise by a further three-quarter turn. In total, how many degrees has Sofia rotated by? {{ }}

Sofia stands on the spot and rotates anti-clockwise by an angle between a quarter of a full turn and half of full turn. Which of these is a sensible answer for the size of Sofia's rotation?

Which of these is a suitable description for this rotation?

Understanding the centre of rotation

Lesson outcome