This page lists recommended resources for teaching Pure Mathematics in Year 13, categorised by topic.
Huge thanks to all individuals and organisations who share teaching resources.
Algebraic and Partial Fractions
- Algebraic Methods slides – Dr Frost
- Solomon worksheets: algebraic fractions
- Algebraic Fractions Exam Qs (solutions) – compiled by NaikerMaths
- Partial Fractions Exam Qs (solutions) – compiled by NaikerMaths
- Partial Fractions Codebreakers – alutwyche on TES
- Partial Fractions Fun Sheet – Longman Cheshire
- Solomon worksheets: partial fractions
- Commentary/misconceptions/prompts – MEI
- Algebraic Methods slides – Dr Frost
- Proof worksheet (solutions) – CrashMaths
- Euclid’s proof of infinitely many primes – TeachIt Maths
- The irrationality of √2 – MEI
- Root 2 is irrational – Underground Maths
- Proof delivery guide – OCR
- Proof check-in test – OCR
- Proof by contradiction (answers) – Maths Made Easy
- Proof worksheet – phildb on TES
- Proof and reasoning – University of Birmingham
- Methods of Proof exam questions (MS) – MEI, collated by PMT
- Commentary/misconceptions/prompts – MEI
- Functions and Graphs slides – Dr Frost
Mappings, domain, range
- Domain/range grid – MEI
- Functions worksheets – SRWhitehouse on TES
- Domain and range card sort – MEI
- What type of function? – MEI
- Four functions – MathsPad
- Domain and range dominoes – Region 18
- Functions matching activity – colmanweb.com
- Functions worksheet A (Answers) – Solomon
Composite and inverse functions
- Compose! – Underground Mathematics
- Composite functions arithmagons – MEI
- Composite functions – MathsPad
- Composite and inverse functions cards – Teachit Maths
- Composite and inverse functions worksheets – SRWhitehouse on TES
- Inverse functions – notes and problems – martahidegkuti.com
- Solomon worksheets: composite and inverse functions
Functions review
- Functions tests – begbiesan on TES
- Functions multiple choice quiz – Tristan Jones on TES
- Functions murder mystery – eweston on TES
- Maths Vegas functions review – @emmaemma53
- Functions exam questions – collated by PMT
- Functions exam questions (solutions) – compiled by NaikerMaths
Modulus and combined transformations
- Modulus function worksheets – SRWhitehouse on TES
- Domain and range dominoes – Underground Mathematics
- Modulus triples – teacher notes and activity – Kangaroo Maths
- Modulus always/sometimes/never – eweston on TES
- Modulus graphs picture challenges (with Autograph or Desmos) – MeadowsJ on TES
- Transformations of y = lnx – by me!
- Modulus functions exam questions – collated by PMT
- Transformations and graphs exam questions – collated by PMT
- Graph transformation exam questions (solutions) – compiled by NaikerMaths
- Solomon worksheets: modulus function and graph transformations
Sequences and Series
- Commentary/misconceptions/prompts – MEI
- Sequences and series slides – Dr Frost
- Thinking about sequences – MEI
- Arithmetic series worksheets and questions – SRWhitehouse on TES
- AP sum proof sorter – Nrich
- Money matters – The Chalk Face
- Arithmetic sequences practice problems – martahidegkuti.com
- Analysing sequences – Standards Unit
- Sequences and Series – Susan Wall via STEM Centre
- Arithmetic series exam questions with solutions – StudyWell
- Solomon worksheets: recurrence and arithmetic (solutions)
- Recurrence relations worksheet – chuckieirish on TES
- Recurrence relations exam questions with solutions – StudyWell
- Geometric series activities and questions – SRWhitehouse on TES
- Geometric sequences – Don Steward
- Solomon worksheet: geometric (solutions)
- To Sum Up (convergent GPs) – Maths Pad
- Currency (GPs and logs) – The Chalk Face
- Kangaroo lovers (convergent GPs) – Kangaroo Maths
- Geometric sequences practice problems – martahidegkuti.com
- Sequence notation connect thoughts – eweston on TES
- Geometric series exam questions with solutions – StudyWell
- Types of sequence and series – SRWhitehouse on TES
- Sequences and series exam questions (solutions) – compiled by NaikerMaths
- Modelling with series exam questions (solutions) – compiled by NaikerMaths
- Sequences questions (solutions) – Dr Oliver
- Geometric sequences questions (solutions) – Dr Oliver
- Arithmetic sequences questions (solutions) – Dr Oliver
- Underground Maths: Sort it out, Can you find… series edition, Common terms, Change one thing, Connect three?, Same or different?
Binomial Expansion- Commentary/misconceptions/prompts – MEI
- Binomial expansion slides – Dr Frost
- Correct me – MEI
- Binomial expansion questions – colmanweb.com
- Binomial Expansion – SRWhitehouse on TES
- Binomial expansion exam questions (solutions) – compiled by NaikerMaths
- Binomial questions (solutions) – Dr Oliver
- Commentary/misconceptions/prompts – MEI
- Radians slides – Dr Frost
Arcs and Sectors
- Arcs and Sectors – MEI
- Introducing radian measure PowerPoint – Teachit Maths
- Sectors of Circles – Mathematics Assessment Project
- Radians activities – MEI
- Radians, arcs and sectors – SRWhitehouse on TES
- Radians RISP – risps.co.uk
- Arc length and sector area exam questions (solutions) – compiled by NaikerMaths
- Sector spirals – Underground Maths
- Trig worksheets (sheets B and C) (answers) – Solomon
- Radian Exam Questions 1 QP (MS) – OCR MEI
- Radian Exam Questions 2 QP (MS) – OCR MEI
- Radian Exam Questions 3 QP (MS) – OCR MEI
Graphs and Equations
- Solving trigonometric equations in radians exam questions (solutions) – compiled by NaikerMaths
- Trig tables – Underground Maths
- Trig worksheets (sheets E and F) (answers) – Solomon
- Trig Equations (in radians) – tumshy on TES
- Can you find… trigonometry edition – Underground Maths
- Muddled Trig – Underground Maths
Small Angle Approximations
- What do functions do for tiny x? – Nrich
- Blog posts: small angle approximations and applications – Julian Gilbey
- Trigonometric functions slides – Dr Frost
- Going round in circles – Underground Maths
- Reciprocal Trig Functions worksheets – SRWhitehouse on TES
- Reciprocal Trig Questions – SRWhitehouse on TES
- Sometimes, Always, Never True Trigonometric Statements – MEI
- Proving trig identities puzzle – colmanweb.com
- Trigonometric identities activity – Teachit Maths
- Sometimes Always Never trigonometric statements – MEI
- Trigonometric identities questions – martahidegkuti.com
- Trig identities steps posters – shared at FMSP event
- Inverse Trig Graphs – SRWhitehouse on TES
- Inverse or not? – Underground Maths
- Exam questions (solutions) – Dr Oliver
- Solomon worksheets:
- Commentary/misconceptions/prompts – MEI
- Trigonometry and modelling slides – Dr Frost
- Blog post and resources – Stuart Price
- Three challenge questions – MEI
- Proof of Addition Formulae – SRWhitehouse on TES
- Addition Formulae – SRWhitehouse on TES
- Trigonometric addition formulae worksheet – SRWhitehouse on TES
- Equation or identity? – Underground Maths
- Alternative Form – SRWhitehouse on TES
- Maximums and Minimums in Alternative Form – SRWhitehouse on TES
- Double and Half Angle Formulae – SRWhitehouse on TES
- Proving half-angle formulae – Underground Maths
- Trigonometric Equations – martahidegkuti.com
- Trig identity match
- Mixed exercises – CIMT
- t for tan – Underground Maths
- Mixed Trigonometry Questions – SRWhitehouse on TES
- Trigonometry Check-In Test – OCR
- Past exam questions – Edexcel, collated by PMT
- Solomon worksheets:
- Commentary/misconceptions/prompts – MEI
- Parametric equations slides – Dr Frost
- Parametric equations – MEI
- Exploring equations in parametric form – Standards Unit
- Parametric functions lock game – danwalker on TES
- Parametric equations textbook chapter – SMP
- Parametric graphs activities – MEI
- Parametric Paths – undergroundmathematics.org
- Parametric differentiation – MathCentre
- Parametric and Implicit Differentiation – SRWhitehouse on TES
- Solomon worksheets:
- Commentary/misconceptions/prompts – MEI
- Differentiation slides – Dr Frost
- Product and quotient rule dominoes – MEI
- A2 differentiation resources – aliali on TES
- Differentiation dominoes – chain, product and quotient rules – Teachit Maths
- Chain rule resources – SRWhitehouse on TES
- Chain rule practice – colmanweb.com
- Chain, quotient and product rule problems – martahidegkuti.com
- Product and quotient rules – SRWhitehouse on TES
- Underground Maths: Producing a rule, Can you find… chain rule edition, I can see u!
- Easy/Medium/Hard Chain, Product and Quotient Rule – colmanweb.com
- Matching exercises: chain, product, quotient – columanweb.com
- Embedded Within…– colmanweb.com
- Tangents and normals – MEI
- Differentiating trig functions – SRWhitehouse on TES
- Estimating gradients – Underground Maths
- Differentiating e and ln – SRWhitehouse on TES
- Differentiating e and ln exam questions (solutions) – Dr Oliver
- Differentiation – rates of change – TeachIt Maths
- Parametric and Implicit Differentiation – SRWhitehouse on TES
- Implicit circles – Underground Maths
- Differentiation Revision – SRWhitehouse on TES
- Differentiation check-in test – OCR
- Trig gradient match – Underground Maths
- Differentiation exam questions (solutions) – Dr Oliver
- Exam questions – Edexcel, collated by PMT:
- Solomon worksheets:
Numerical Methods
- Commentary/misconceptions/prompts – MEI
- Numerical Methods slides – Dr Frost
- Investigating Iterative Formulae – MEI
- Numerical Methods – SRWhitehouse on TES
- Numerical Methods Notes – SRWhitehouse on TES
- Graphical iteration (staircase and cobweb) – whitwortht89 on TES
- Edexcel past exam questions: Location of roots and Iterative equations – collated by PMT
- Numerical methods exam questions (solutions) – Dr Oliver
- Solomon worksheets:
- Commentary/misconceptions/prompts – MEI
- Integration slides – Dr Frost
- Integrating e and ln exam questions (solutions) – Dr Oliver
- Methods of integration – MEI
- Integration dominoes – Teachit Maths
- Integration by substitution worksheet – SRWhitehouse on TES
- Standard Integrals – SRWhitehouse on TES
- Integration by recognition matching activity – SRWhitehouse on TES
- Integration by parts concept questions – colmanweb.com
- Parts, substitution, recognition – SRWhitehouse on TES
- Integration by parts worksheet – SRWhitehouse on TES
- Further trig integration – SRWhitehouse on TES
- Integrating trigonometric functions – Teachit Maths
- Integration worksheets – SRWhitehouse on TES (& solutions to the first activity from Karen Jones)
- Methods for integration: flow chart, info sheet, activity – colmanweb.com
- How to get exam marks: substitution and parts – colmanweb.com
- Parametric integration – SRWhitehouse on TES
- Integration revision – SRWhitehouse on TES
- Integration activities – Susan Wall, MEI
- Underground Maths: Integral chasing II, Integral sorting, Trigsy integrals, Two for one, Slippery areas
- Solomon worksheets
- Integration exam questions (solutions) – Dr Oliver
- Trapezium rule examples and worksheet – SRWhitehouse on TES
- Trapezium rule worksheet – phildb on TES
- Trapezium rule worksheet (answers) – Solomon
- Trapezium rule exam questions (answers) – MEI, collated by PMT
- Underground maths: Is the Serpentine Lake really 40 acres?, Underneath the arches
Differential Equations
- Commentary/misconceptions/prompts – MEI
- The world population – MEI
- Modelling with differentiation card sort – Tom Bennison
- Differential equations – SRWhitehouse on TES
- How to get exam marks – colmanweb.com
- Solomon worksheets:
- Commentary/misconceptions/prompts – MEI
- Vectors slides – Dr Frost
- Properties of 3D vectors – MEI
- Introduction to vectors from SRWhitehouse on TES
- Vectors worksheet (answers) – Solomon
General teaching resources, revision & assessment
- A level resources including worksheets, topic tests and practice papers – Jethwa Maths
- Videos for the entire A level specification – tlmaths.com
- Exam questions by topic – Maths Genie
- Practice papers – crashmaths.com
- Legacy Edexcel exam questions by topic – collated by Chris Ansette
- Legacy exam papers (all modules and boards)
- Legacy assessments by topic – Oxford University Press
- Question packs by topic – Stuart Price
- IYGB Papers for new A level – madasmaths.com
- Owen134866 on TES: Year 13 Pure PowerPoints
- AQA: e-Library, Topic Tests, A level Teaching Guidance
- Edexcel: Unit Tests etc
- OCR: OCR’s A level resources: Check-in Tests, Delivery Guides etc