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Rates of Change Worksheet Funny Pdr

Written By Monday 20 June 2022 Add Comment Edit

This page lists recommended resources for teaching Pure Mathematics in Year 13 (based on the 2017 A level specification), categorised by topic.

Huge thanks to all individuals and organisations who share teaching resources.

Quick links:  Fractions | Proof | Functions & Graphs | Series & Sequences | Binomial Expansion | Radians | Reciprocal Trig | Trig & Modelling | Parametrics | Differentiation | Numerical Methods | Integration | Trapezium Rule | Differential Equations | Vectors | Revision

Algebraic and Partial Fractions

  • Algebraic Methods slides - Dr Frost
  • Adding and Subtracting Algebraic Fractions - UEA
  • Solomon worksheets: algebraic fractions
    • Rational Expressions A (Answers)
    • Rational Expressions B (Answers)
    • Rational Expressions C (Answers)
  • 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
    • Partial Fractions A - Questions (Answers)
    • Partial Fractions B - Questions (Answers)

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!
  • Chapter: Transformations of Graphs and the Modulus Function - Pearson
  • 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
    • Functions D (Answers)
    • Functions E (Answers)
    • Functions F (Answers)
    • Functions G (Answers)
    • Functions H (Answers)

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Sequences and Series

  • 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
  • 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 (& teacher notes) - risps.co.uk
  • Arc length and sector area exam questions (solutions) - compiled by NaikerMaths
  • Radians homework 1 and radians homework 2 - mathsteaching.wordpress.com
  • 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
  • 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

  • Testing the small angle approximation - fermi.sonoma.edu
  • Sample chapter: The small angle approximations - Tom Bennison and Ed Hall
  • What do functions do for tiny x? - Nrich
  • Blog posts: small angle approximations and applications - Julian Gilbey

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 Reciprocal and Inverse Trigonometric Functions

  • 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 (more here)
  • Trig identities steps posters - shared at FMSP event
  • Inverse Trig Graphs - SRWhitehouse on TES
  • Inverse trigonometric expressions - martahidegkuti.com
  • Inverse or not? - Underground Maths
  • Sample chapter: Inverse trigonometric functions and secant, cosecant and cotangent - Pearson
  • Solomon worksheets:
    • Trigonometry A - Questions (Answers)
    • Trigonometry B - Questions (Answers)
    • Trigonometry C - Questions (Answers)

Trigonometry and Modelling

  • 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 - Sample and Practice Problems - martahidegkuti.com
  • Trig identity match
  • Mixed exercises - CIMT
  • Sum-Product identities - martahidegkuti.com
  • t for tan - Underground Maths
  • Mixed Trigonometry Questions - SRWhitehouse on TES
  • Trigonometry Check-In Test - OCR
  • Past exam questions - Edexcel, collated by PMT
  • More trig identity examples and exercises - martahidegkuti.com
  • Solomon worksheets:
    • Trigonometry D (Answers)
    • Trigonometry E (Answers)
    • Trigonometry F (Answers)
    • Trigonometry G (Answers)
    • Trigonometry H (Answers)
  • 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
  • C4 Parametric and Cartesian Equations - hannahlees
  • Parametric Paths - undergroundmathematics.org
  • Parametric differentiation - MathCentre
  • Parametric and Implicit Differentiation - SRWhitehouse on TES
  • Solomon worksheets:
    • Parametric equations (Answers)
    • Parametric differentiation (Answers)
  • 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 rule problems - martahidegkuti.com
  • Product and quotient rules - SRWhitehouse on TES
  • Product rule problems - martahidegkuti.com
  • Quotient rule problems - martahidegkuti.com
  • 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
  • Differentiation practice problems - martahidegkuti.com
  • 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
  • Exam questions - Edexcel, collated by PMT:
    • Implicit differentiation
    • Parametric differentiation
    • Products and quotients
    • Rates of change
    • Stationary points
    • Tangents and normals
  • Solomon worksheets:
    • Differentiation C (Answers)
    • Differentiation D (Answers)
    • Differentiation E (Answers)
    • Differentiation F (Answers)
  • Commentary/misconceptions/prompts - MEI
  • Numerical Methods slides - Dr Frost
  • Investigating Iterative Formulae - MEI
  • Geogebra Tasks for A2 Core - MEI
  • Numerical Methods - SRWhitehouse on TES
  • Numerical Methods Notes - SRWhitehouse on TES
  • Graphical iteration (staircase and cobweb) - whitwortht89 on TES
  • Newton Raphson and other recurrence relations (solutions) - Maths Made Easy
  • Numerical methods check-in test - OCR
  • Edexcel past exam questions: Location of roots and Iterative equations - collated by PMT
  • Solomon worksheets:
    • Numerical Methods A  (Answers)
    • Numerical Methods B (Answers)
    • Numerical Methods C (Answers)
    • Numerical Methods D (Answers)

Integration

  • Commentary/misconceptions/prompts - MEI
  • Integration slides - Dr Frost
  • 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
  • Methods of integration - MEI
  • Underground Maths: Integral chasing II, Integral sorting, Trigsy integrals, Two for one, Slippery areas
  • Solomon worksheets
  • Integration check-in test - OCR

Trapezium Rule

  • Commentary/misconceptions/prompts - MEI
  • The world population - MEI
  • Modelling with differentiation card sort - Tom Bennison
  • Matching differential equations to descriptions - cHar293 on TES
  • Differential equations - SRWhitehouse on TES
  • How to get exam marks - colmanweb.com
  • Solomon worksheets:
    • Differential Equations K (Answers)
    • Differential Equations L (Answers)

Vectors

  • Commentary/misconceptions/prompts - MEI
  • Vectors slides - Dr Frost
  • Properties of 3D vectors - MEI
  • Introduction to vectors from SRWhitehouse on TES
  • Vectors worksheet (answers) - Solomon

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Source: https://www.resourceaholic.com/p/year-13-pure.html

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