Possible next steps →
Prior Content: Angles in Polygons, 2D Area & Perimeter, Similar Shapes, Linear Graphs & Gradients
Possible Next Steps: Graphical Transformations, Vectors
Contents
- 1.1 Translations with Instructions
- 1.2 Translations with Vectors
- 2.1 Rotations
- 2.2 Rotational Symmetry
- 3.1 Lines of Symmetry
- 3.2 Reflections
- 4.1 Enlargements with Positive Scale Factors
- 4.2 Enlargements with Fractional Scale Factors
- 4.3 Enlargements with Negative Scale Factors
- 5.1 Multiple Transformations
- 5.2 Invariant Points & Lines
- 6.1 Describing Transformations: Finding the Centre of Rotation
- 6.2 Describing Transformations: Finding the Line of Reflection
- 6.3 Describing Transformations: Finding the Centre of Enlargement
- 6.4 Describing Transformations in General
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Translations with Instructions
Teaching Videos, Exercises & Activities
Tutorial Videos
Translating Shapes by Luke McPherson
Translating Shapes in Geometry by Math with Sohn
Translations – GCSE Maths by 1st Class Maths
Online Platforms (with Videos & Exercises)
- Khan Academy
- Translations: Videos & practice
Activities & Resources
- BossMaths
Worksheets
- Access Maths
- Pret Homework (Derek Mooney)
- Translation (Derek Mooney, pdf)
Dr Frost Resources
Dr Frost Video
K279: Translate a Shape Using Directional Language.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 154a: Translate a shape on axes using directional language.
- 154b: Describe a translation on axes using directional language.
- 154: Exam Practice: Translating a shape on axes using directional language
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.2 Translations with Vectors
*Note the Describing Translations Section is Included Here
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Translations
Online Platforms (with Videos & Exercises)
- Khan Academy
- Translations (points & shapes): Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- The Chalkface
- Translate the Square: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Access Maths
- Vector Translation Games: Vector Pentominoes | Vector Stars
- Translation Puzzle Worksheet & Solution
- Interactive Maths
- Translations: Translations | Translation Challenge
- Go Teach Maths
- alicecreswick
- Mr Barton Maths
- MathsPad
- SMILE
- Vector messages✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
Worksheets
- Dr Austin Maths
- Mr Barton Maths Translation Snakes and Ladders
- Corbettmaths
- Translations Practice Questions (Q1-8 for Doing Only) & Solutions
- Translations Worksheet (Q1, 3 for Doing Only) & Solutions
- Pixi Maths
- Tristan Jones make the word worksheet
- CIMT MEP (online self-checking)
- Kuta Software
- Physics & Maths Tutor
- 1st Class Maths
- Mr Morley Maths
- Translations: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (Derek Mooney)
- Translation with Vectors (Derek Mooney, pdf)
Dr Frost Resources
Dr Frost Video
K280: Translate a Shape by a Vector.
K281: Describe a Translation.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 374a: Translate a shape horizontally or vertically using a vector.
- 374b: Translate a shape by any vector.
- 375a: Describe a translation in a horizontal or vertical direction using vector notation.
- 375b: Describe any translation using vector notation.
- 374: Exam Practice: Translations of shapes by a vector
- 375: Exam Practice: Describing translations using vector notation
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.1 Rotations
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Rotations
Online Platforms (with Videos & Exercises)
- Khan Academy
- Rotations: Videos & practice
Activities & Resources
- Pixi Maths
- Rotations & Rotational Symmetry ppt (Slides 7 Onwards)
- Rotations ppt (Slides 1-12)
- Andy Lutwyche
- Don Steward
- Transum
- Interactive Maths
- Rotations: Rotations
- Go Teach Maths
- Tristan Jones
- BossMaths
- MathsPad
- NCETM
- NCETM Key Idea: Describing a rotation (PowerPoint)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Rotations Practice Questions (Q1-6) & Solutions
- Rotations Worksheet (Q1-3) & Solutions
- Pixi Maths
- Tristan Jones make the word worksheet
- CIMT MEP (online self-checking)
- Mathshelper (Jon Stone)
- Kuta Software
- Access Maths
- The Chalkface
- 1st Class Maths
- Mr Morley Maths
- Rotations: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (Derek Mooney)
- Rotation (Derek Mooney, pdf)
Dr Frost Resources
Dr Frost Video
K282: Describe a Rotation Centred at the Origin.
K283: Describe a 180∘ Rotation Centred at a Point.
K284: Describe a 90∘ Rotation Centred at a Point.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 281a: Rotate a shape by 90°, 180° or 270° about a point on a grid, using tracing paper. (not yet active)
- 281b: Rotate a shape by 90°, 180° or 270° on axes, about the origin, using tracing paper.
- 281c: Rotate a shape by 90°, 180° or 270° on axes, about any point, using tracing paper.
- 281d: Rotate a shape by 180° on axes, about any point, without tracing paper. (not yet active)
- 281e: Rotate a shape by 90° or 270° on axes, about the origin, without tracing paper. (not yet active)
- 281f: Rotate a shape by 90° or 270°on axes, about any point, without tracing paper. (not yet active)
- 282a: Describe a rotation centred at the origin.
- 282b: Describe a rotation of 180° centred at any point.
- 282c: Describe a rotation of 90° or 270° centred at any point. (not yet active)
- 281: Exam Practice: Rotating a shape by a given angle around a given point
- 282: Exam Practice: Describing a rotation
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.2 Rotational Symmetry
Teaching Videos, Exercises & Activities
Dr Frost Resources
Extension Materials
3.1 Lines of Symmetry
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Line Symmetry
Online Platforms (with Videos & Exercises)
- Khan Academy
- Lines of symmetry: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Don Steward
- Interactive Maths
- Reflection Symmetry: Quadrilaterals | Triangles | Other Shapes
- Goal Free Problems
- Mr Draper Maths Lines Of Symmetry
- Go Teach Maths
- BossMaths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Line & Rotational Symmetry Practice Questions & Solutions
- Line Symmetry Worksheet & Solutions
- Pixi Maths
- Maths 4 Everyone
- CIMT MEP (online self-checking)
- MME
- Mr Morley Maths
- Line and Rotational Symmetry: Notes jotter/worksheet
Dr Frost Resources
Dr Frost Video
K97: Identify Lines of Symmetry in 2D Shapes.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 78b: Identify lines of symmetry in 2D shapes.
- 78c: Draw or modify a diagram to achieve a given line symmetry.
- 78d: Draw the line of symmetry where only one line of symmetry exists.
- 78: Exam Practice: Properties of polygons
Further Practice
- Practise Questions
Extension Materials
Worksheet
3.2 Reflections
Teaching Videos, Exercises & Activities
Dr Frost Resources
Extension Materials
4.1 Enlargements with Positive Scale Factors
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Enlargements
Corbett Maths Enlargements Using Ray Method
Online Platforms (with Videos & Exercises)
- Khan Academy
- Enlargements (dilations): Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Don Steward
- Interactive Maths
- Enlargements: Enlargements
- Go Teach Maths
- CP3 Maths (cparkinson3)
- Mr Thompson Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Pixi Maths
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Mathshelper (Jon Stone)
- Access Maths
- 1st Class Maths
- Mr Morley Maths
- Enlargement: Notes jotter/worksheet · Exam questions · Mark scheme
- Pret Homework (Derek Mooney)
- Enlargement with Centre (Derek Mooney, pdf)
- Pret Homework (@marshasmith244)
- Enlargement (@marshasmith244, docx)
Dr Frost Resources
Dr Frost Video
K285: Enlarge a Shape by an Integer Scale Factor.
K286: Describe an Enlargement With an Integer Scale Factor.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 295a: Enlarge/dilate a shape by a positive integer scale factor with no given centre of enlargement/dilation.
- 295b: Enlarge/dilate a shape by a positive integer scale factor around a centre of enlargement/dilation which is on a vertex of the shape.
- 295c: Enlarge/dilate a shape by a positive integer scale factor with the origin as the centre of enlargement/dilation.
- 295d: Enlarge/dilate a shape by a positive integer scale factor around a given centre of enlargement/dilation which is outside the shape.
- 295e: Enlarge/dilate a shape by a positive integer scale factor around a given centre of enlargement/dilation which is within the shape.
- 294a: Identify the scale factor of enlargement/dilation.
- 294b: Describe an enlargement/dilation with an integer scale factor.
- 295: Exam Practice: Enlarging/dilating a shape by a given positive integer scale factor
- 294: Exam Practice: Describing an enlargement/dilation for a positive integer scale factor
Further Practice
- Practise Questions
Extension Materials
Worksheet
4.2 Enlargements with Fractional Scale Factors
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Enlargement with Fractional Scale Factors
Online Platforms (with Videos & Exercises)
Activities & Resources
- Interactive Maths
- Fractional & Negative Scale Factors: Other Scale Factors
- Go Teach Maths
- BossMaths
- G7e Enlargement✦ (Positive, fractional & negative scale factors; interactive)
- Mr Thompson Maths
Worksheets
Dr Frost Resources
Dr Frost Video
K494: Enlarge a Shape by a Fractional Scale Factor.
K495: Describe an Enlargement With a Fractional Scale Factor.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 297a: Enlarge/dilate a shape by a unit fraction scale factor. (not yet active)
- 297b: Enlarge/dilate a shape by a fractional scale factor less than one.
- 297c: Enlarge/dilate a shape by a fractional scale factor greater than one. (not yet active)
- 296a: Describe an enlargement/dilation with a unit fraction scale factor.
- 296b: Describe an enlargement/dilation with a fractional scale factor less than one.
- 296c: Describe an enlargement/dilation with a fractional scale factor greater than one. (not yet active)
- 297: Exam Practice: Enlarging/dilating a shape by a decimal or fractional scale factor
- 296: Exam Practice: Describing an enlargement/dilation for a positive decimal or positive fractional scale factor
Further Practice
- Practise Questions
Extension Materials
Worksheet
4.3 Enlargements with Negative Scale Factors
Teaching Videos, Exercises & Activities
Tutorial Videos
Enlargements with Negative Scale Factors
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Enlargement – Fractional and Negative Scale Factors ppt (Slides 1-16)
- Andy Lutwyche
- Go Teach Maths
Worksheets
- Corbettmaths
- Tristan Jones Make the Word Worksheet
- Dr Austin Maths
- Maths Genie
- Enlarging with Negative Scale Factors: Booklet · Solutions · Lesson · Topic page
- Naiker Maths
- Enlargement with Negative Scale Factors: Worksheet
- 1st Class Maths
- Mr Morley Maths
- Enlargement (Negative Scale Factor): Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K493: Enlarge a Shape by a Negative Scale Factor.
K497: Enlarge a Shape by a Negative and Fractional Scale Factor.
K496: Describe an Enlargement With a Negative Scale Factor.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 376a: Enlarge/dilate a shape by a negative scale factor.
- 376b: Enlarge/dilate a shape by a negative and fractional scale factor.
- 377a: Describe an enlargement/dilation with a negative scale factor.
- 377b: Describe an enlargement/dilation with a negative and fractional scale factor. (not yet active)
- 376: Exam Practice: Enlargement/dilation of shapes by a negative scale factor
- 377: Exam Practice: Describing enlargements/dilations for a negative scale factor
Further Practice
- Practise Questions
Extension Materials
Worksheet
5.1 Multiple Transformations
Teaching Videos, Exercises & Activities
Tutorial Videos
Negative Enlargement and Combined Transformations by Maths Genie
Online Platforms (with Videos & Exercises)
- Khan Academy
- Sequences of transformations: Videos & practice
Activities & Resources
- Andy Lutwyche
- Cartoon – KS3 – Worksheet
- Baking Bad – Season 4
- Transforming Shapes Codebreaker 1, 2
- Codebreakers
- Christmas Codebreaker
- Maths: Spiderman worksheet.
- Crack The Safe – Symmetry
- Maths: . Batman lesson activity.
- Tranforming Codebreakers
- Spiders
- Defuse The Bomb
- Codebreaker
- Puzzle Codebreaker
- Codebreaker 4
- Codebreaker (2)
- Fill In The Blanks
- Without A Trace – Symmetry
- Practice
- Barbie and Ken’s Adventure
- Toy Story
- Math = Love (Sarah Carter)
- Don Steward
- Transum
- Go Teach Maths
- BossMaths
- Desmos
- Transformation Golf: Rigid Motion (use translations, reflections and rotations to hit the target)
- Standards Unit (DfES)
- Standards Unit SS7: Transforming Shapes (Standards Unit, DfES; PDF
Worksheets
- Dr Austin Maths
- CIMT MEP (online self-checking)
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 378a: Complete two transformations on a given shape. (not yet active)
- 378: Exam Practice: Combining transformations
Further Practice
- Practise Questions
Extension Materials
Worksheet
5.2 Invariant Points & Lines
Teaching Videos, Exercises & Activities
Tutorial Videos
Invariant Points (New 9-1 GCSE Topic!) by The GCSE Maths Tutor
Invariant Points. What Is An Invariant Point And How Do You Find It From A Transformation? by Maths Mark
Invariant points, translation, enlargement, reflection, iGCSE, GCSE 9 1 by MathsForYouUK
Corbett Maths Invariant Points
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- Go Teach Maths
- Peter Mattock
Worksheets
- Corbettmaths
- Miss Konstantine (MathsHKO)
- MME
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 379a: Give the coordinate of an invariant point for a given transformation. (not yet active)
- 379b: Give the coordinate of an invariant point for a given combination of transformations. (not yet active)
- 379c: Describe a transformation that would leave a given point invariant. (not yet active)
- 379: Exam Practice: Invariant points
Further Practice
- Practise Questions
Extension Materials
Worksheet
6.1 Describing Transformations: Finding the Centre of Rotation
Teaching Videos, Exercises & Activities
Tutorial Videos
Maths Doctor How to Find the Centre of Rotation
Online Platforms (with Videos & Exercises)
- Khan Academy
- Rotations (finding the centre): Videos & practice
Activities & Resources
- Pixi Maths
- Rotations ppt (Slides 12 Onwards)
- Interactive Maths
- Finding the Centre of Rotation: Rotation Challenge
- Goal Free Problems
Worksheets
- Dr Austin Maths
- Corbettmaths
- Rotations Practice Questions & Solutions
- Rotations Worksheet & Solutions
- Pixi Maths
Dr Frost Resources
Dr Frost Video
K283: Describe a 180∘ Rotation Centred at a Point.
K284: Describe a 90∘ Rotation Centred at a Point.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 282b: Describe a rotation of 180° centred at any point.
- 282c: Describe a rotation of 90° or 270° centred at any point. (not yet active)
- 284r: Determine the centre of rotation between a shape and its image by constructing perpendicular bisectors. (not yet active)
- 282: Exam Practice: Describing a rotation
- 284: Exam Practice: Constructions with lines and angles
Further Practice
- Practise Questions
Extension Materials
Worksheet
6.2 Describing Transformations: Finding the Line of Reflection
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Describing Reflections
Corbett Maths Finding the Mirror Line When Reflecting
Online Platforms (with Videos & Exercises)
- Khan Academy
- Reflections (finding the line): Videos & practice
Activities & Resources
- Interactive Maths
- Finding the Line of Reflection: Reflection Challenge
Worksheets
Dr Frost Resources
Dr Frost Video
K389: Draw a Horizontal, Vertical or Diagonal Line.
K491: Describe a Reflection in a Vertical or Horizontal Line.
K492: Describe a Reflection in a Diagonal Line.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 268e: Draw a line with equation x=a, y=b, y=x or y=-x
- 279a: Describe a reflection in a vertical or horizontal line on a set of axes.
- 279b: Describe a reflection in a diagonal line on a set of axes.
- 268: Exam Practice: Relationship between a line and its equation
- 279: Exam Practice: Describing a reflection
Further Practice
- Practise Questions
Extension Materials
Worksheet
6.3 Describing Transformations: Finding the Centre of Enlargement
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Describing Enlargements
Corbett Maths Finding Centre of Enlargement
Online Platforms (with Videos & Exercises)
- Khan Academy
- Enlargements (centre & scale factor): Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Don Steward
- Transum
- Interactive Maths
- Finding the Centre of Enlargement: Enlargement Challenge
Worksheets
Dr Frost Resources
Dr Frost Video
K286: Describe an Enlargement With an Integer Scale Factor.
K495: Describe an Enlargement With a Fractional Scale Factor.
K496: Describe an Enlargement With a Negative Scale Factor.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 294b: Describe an enlargement/dilation with an integer scale factor.
- 296a: Describe an enlargement/dilation with a unit fraction scale factor.
- 296b: Describe an enlargement/dilation with a fractional scale factor less than one.
- 296c: Describe an enlargement/dilation with a fractional scale factor greater than one. (not yet active)
- 377a: Describe an enlargement/dilation with a negative scale factor.
- 377b: Describe an enlargement/dilation with a negative and fractional scale factor. (not yet active)
- 294: Exam Practice: Describing an enlargement/dilation for a positive integer scale factor
- 296: Exam Practice: Describing an enlargement/dilation for a positive decimal or positive fractional scale factor
- 377: Exam Practice: Describing enlargements/dilations for a negative scale factor
Further Practice
- Practise Questions
Extension Materials
Worksheet
6.4 Describing Transformations in General
Teaching Videos, Exercises & Activities
Tutorial Videos
Describing Transformations | GCSE Maths | Mr Mathematics by Jonathan Robinson
The Four Transformations In Maths by Minity Maths
⭐️Transformations⭐️ Translations, Enlargements, Reflections, Rotations. GCSE Maths! AddvanceMaths😊➕ by Addvance Maths
Online Platforms (with Videos & Exercises)
- Khan Academy
- Identifying transformations: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Don Steward
- Transum
- Interactive Maths
- Transformation Challenges: Which Transformation? | How Many Transformations? | Ultimate Challenge
- Goal Free Problems
Worksheets
- Dr Austin Maths
- Pixi Maths
- MME
- Pret Homework (@AccessMaths)
- Transformations (@AccessMaths, pdf)
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 378b: Describe the single transformation of a shape following two translations. (not yet active)
- 378c: Describe the single transformation of a shape following two rotations. (not yet active)
- 378d: Describe the single transformation of a shape following two horizontal and/or vertical reflections. (not yet active)
- 378e: Describe the single transformation of a shape following any two reflections. (not yet active)
- 378f: Describe the single transformation of a shape following a combination of two different transformations. (not yet active)
- 378: Exam Practice: Combining transformations
Further Practice
- Practise Questions
Extension Materials
Worksheet
Whole Topic Summary Resources (Including Past Paper Questions)
Download Transformations of Shapes PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Transformations as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- Mathshelper (Jon Stone)
- MathedUp
- Transformations: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
- MME
Activities
- NRICH (student problems)
- Don Steward
- Transum
- Go Teach Maths
- CP3 Maths (cparkinson3)
- Miss Konstantine (MathsHKO)
- Dan Walker
- Tristan Jones
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Transformations
- NCETM
- NCETM Checkpoints: Transformations (diagnostic tasks)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.