Investigating transformations with GeoGebra

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 Desmos

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

GeoGebra is an example of dynamic software.

Rotations in GeoGebra only occur in an anticlockwise direction.

$$\begin{pmatrix} 9 \\ 12 \end{pmatrix}$$ What does the 9 mean?

$$\begin{pmatrix} 9 \\ 12 \end{pmatrix}$$ What does the 12 mean?

$$\begin{pmatrix} -9 \\ -12 \end{pmatrix}$$ What does the -9 mean?

$$\begin{pmatrix} -9 \\ -12 \end{pmatrix}$$ What does the -12 mean?

Desmos is an example of dynamic software.

Desmos has an option to allow you to choose whether you rotate clockwise or anticlockwise.

Investigating transformations with GeoGebra

Lesson outcome