Transformations Maths Lessons & Worksheets (KS3, GCSE, IGCSE & A-Level)

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This page brings together ready-to-teach transformations maths lessons for Key Stage 3, GCSE / IGCSE and A-Level Further Mathematics. Browse the full collection, including translations and vectors, reflections and rotations on grids, enlargements with positive and negative scale factors, symmetry in 2D and 3D, describing single transformations, and matrix linear transformations with invariance, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach transformations lessons
  • Presentations, worksheets and structured practice
  • Key Stage 3, GCSE / IGCSE and A-Level coverage
  • Scheme of work links for curriculum planning

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Use the sections below to jump straight to Key Stage 3, GCSE / IGCSE or A-Level transformations lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to:  Key Stage 3 Transformations  |  GCSE / IGCSE Transformations  |  A-Level Transformations

Transformations: Key Stage 3

These Key Stage 3 transformations lessons build fluency on coordinate grids and extend to symmetry in 2D and 3D, including isometric representations. Topics include:

  • Translating shapes using column vectors
  • Reflecting shapes on a grid, including horizontal, vertical and diagonal mirror lines
  • Rotations about a centre, including angle and direction of turn
  • Enlarging shapes on a grid using a centre of enlargement and a scale factor
  • Reflective symmetry in 2D shapes, diagonal lines of symmetry, and planes of symmetry in 3D shapes
  • Rotating 3D shapes on isometric grids, with additional rotation practice on grids

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Ages 11 - 13

Diagonal Lines of Symmetry

Ages 11 - 13

Enlarging Shapes on a Grid

Ages 11 - 13

Planes of Symmetry in 3D Shapes

Ages 11 - 13

Reflecting Shapes on a Grid

Ages 11 - 13

Reflective symmetry in 2D shapes

Ages 11 - 13

Rotating 3D shapes on isometric grids

Ages 11 - 13

Rotations about a Centre

Ages 11 - 13

Translating Shapes using Vectors

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Transformations: GCSE / IGCSE

These GCSE / IGCSE transformations lessons formalise descriptions on coordinate grids, connect translations with vector notation, and include enlargements with negative scale factors alongside related congruence and similarity reasoning. Topics include:

  • Rotations on a grid using a centre, direction and amount of turn
  • Reflections on a grid, including mirror lines taken from straight-line graphs
  • Translations on a grid; translations using vector notation; addition and subtraction with column vectors
  • Enlargements on a grid with a centre and scale factor, including negative scale factors
  • Describing single transformations fully; reflective symmetry and rotational symmetry
  • Congruence using angle properties and geometrical facts; calculating missing lengths in similar shapes

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Ages 14 - 16

Describing Transformations

Ages 14 - 16

Enlargements on a Grid

Ages 14 - 16

Enlarging Shapes to a Negative Scale Factor

Ages 14 - 16

Enlarging Shapes to a Scale Factor

Ages 14 - 16

Reflections on a Grid

Ages 14 - 16

Reflective Symmetry

Ages 14 - 16

Rotating Shapes

Ages 14 - 16

Rotational Symmetry

Ages 14 - 16

Rotations on a Grid

Ages 14 - 16

Translating Shapes

Ages 14 - 16

Translations using Vector Notation

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Transformations: A-Level

These A-Level Further Mathematics lessons treat transformations as linear maps, linking matrix algebra to geometry in 2D and 3D and to composition and invariance. Topics include:

  • Rotations and reflections represented using matrices
  • Performing enlargements (stretches) using transformation matrices
  • Successive transformations and combined linear maps
  • Transformations in three dimensions using matrices
  • Reverse transformations using inverse matrices
  • Invariant points and invariant lines under a linear transformation

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Ages 16 +

Invariant Points and Invariant Lines

Ages 16 +

Performing Enlargements using Matrices

Ages 16 +

Reverse Transformations

Ages 16 +

Rotations and Reflections

Ages 16 +

Successive Transformations

Ages 16 +

Transformations in 3D

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