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

Introduction to translation

Maths

Checking understanding of basic transformations

Describing a 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

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

Which of these images show a translation?

Match the shapes to their translated image.

The only property of a shape that does change in a translation is {{ }}.

Which point, when connected with the given two vertices, would create a congruent shape to the object? [IMG 7.10.2.e5]

Which of the figures matches Jacob’s description?

A transformation is a process that may change the {{ }}, orientation or position of a shape.

This L shape is twisted, which of these could be the image?

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

True: otherwise they will not be able to stack up on top of each other.

False: if the orientation is different they can be manipulated to stack.

Congruent shapes need to have the same orientation, true or false?

Regardless of whether an object is flipped, twisted or moved, the lengths and angles are {{ }}?

Which figure does this description match? The object has moved up without twisting or flipping.

Introduction to translation

Lesson outcome