The object is the starting figure, before a transformation has been applied.

The image is the resulting figure, after a transformation has been applied.

A vector can be used to describe a translation.

A polygon is a flat (2D), closed figure made up of straight line segments.

Investigating transformations with Desmos

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

Rotating objects

Introduction to reflections

Describing a reflection

Reflecting objects

Introduction to enlargements

Describing an enlargement

Enlarging objects

Transformed objects

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 button allows you to draw a polygon?

Which button opens up the option menu containing the vector tool?

Which button opens up the option menu containing the selection tool?

Which button allows you to measure an angle?

Lucas wants to rotate a shape clockwise by 50° in Desmos. What angle should he enter into Desmos?

The __________ is the __________ figure, before a transformation has been applied.

The __________ is the __________ figure, after a transformation has been applied.

$$\begin{pmatrix} -4 \\ 2 \end{pmatrix}$$ What does the -4 mean?

$$\begin{pmatrix} -4 \\ 2 \end{pmatrix}$$ What does the 2 mean?

$$\begin{pmatrix} 5 \\ -7 \end{pmatrix}$$ What does the 5 mean?

$$\begin{pmatrix} 5 \\ -7 \end{pmatrix}$$ What does the -7 mean?

Investigating transformations with Desmos

Lesson outcome