A clockwise direction is the direction in which the hands of an analogue clock travel.

An anti-clockwise direction is the opposite direction to which the hands of an analogue clock travel.

The centre of rotation is the fixed point about which an object is rotated. It fixes the location of the image after it is rotated.

Degrees are the most common unit of measurement for angle. One whole turn is equal to 360 degrees, written 360°.

Rotating objects

Maths

Checking understanding of basic transformations

Introduction to translation

Describing a translation

Translating objects

Introduction to rotations

Describing a rotation's direction and size

Understanding the centre of rotation

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

When you use tracing paper to rotate an object, which two things should you draw onto the tracing paper?

after drawing the object and centre of rotation on the tracing paper

after drawing the image on the paper underneath

after pushing your pencil onto the centre of rotation to use it as a pivot

after pushing your pencil onto each of the vertices to leave an imprint

After which step can you remove the tracing paper in order to progress onto the next step in completing your rotation?

This object will be rotated 90° anti-clockwise with the centre of rotation of (6, 6). Where will the image of vertex A end up after this rotation?

This object will be rotated 180° with the centre of rotation of (6, 6). Where will the image of vertex B end up after this rotation? {{ }}

This object will be rotated 90° clockwise with the centre of rotation of (9, 4). Where will the image of vertex C end up after this rotation?

This object will be rotated 90° clockwise with the centre of rotation of (9, 4). Where will the image of vertex D end up after this rotation? {{ }}

Match the size an angle in degrees to its description.

Which of these is an accurate description for this rotation?

What is the centre of rotation for this rotation? {{ }}

This object has been rotated clockwise. By how many degrees did this object rotate? {{ }}

A pair of corresponding vertices on the object and image are joined with a line segment. Join a second pair of vertices to find the coordinates of the centre of rotation.

This object has been rotated by 180°. The image overlaps its object. Find the coordinates of the centre of rotation.

Rotating objects

Lesson outcome