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

Curriculum Hub → Maths Lessons → Algebra → Graphical functions

This page brings together ready-to-teach graphical functions maths lessons for Key Stage 3, GCSE / IGCSE and A-Level. Browse the full collection, including plotting quadratics, cubics and reciprocals, circles and tangents, graphical equation solving, modelling with curved graphs, and sketching cubics, quartics and reciprocals at A-Level, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach graphical functions 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 graphical functions lessons.
Each resource is designed to reduce planning time and support student progression.

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

Graphical functions: Key Stage 3

These Key Stage 3 lessons introduce plotting non-linear graphs from tables of values and connect graphs to solving equations and simple modelling contexts. Topics include:

  • Drawing parabolas from tables of values
  • Using parabolas to solve quadratic equations graphically
  • Plotting cubic equations from tables of values
  • Plotting reciprocal graphs from tables of values
  • Modelling with curved graphs in real-world contexts

Used in:

Ages 11 - 13

Drawing Parabolas

Ages 11 - 13

Modelling with Curved Graphs

Ages 11 - 13

Plotting Cubic Equations

Ages 11 - 13

Plotting Reciprocal Graphs

Ages 11 - 13

Using Parabolas to Solve Quadratic Equations

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Graphical functions: GCSE / IGCSE

These GCSE / IGCSE lessons develop confident plotting and interpretation skills, including circles and tangents and using intersections to solve equations graphically. Topics include:

  • Plotting quadratic functions, including Grade 5 revision plotting quadratics
  • Plotting reciprocal, cubic and exponential graphs
  • Equation of circles centred at the origin
  • Deriving the equation of a tangent to a circle
  • Solving quadratic equations graphically
  • Solving cubic and reciprocal equations graphically using points of intersection

Used in:

Ages 14 - 16

Deriving the Equation of Tangents

Ages 14 - 16

Equation of Circles

Ages 14 - 16

Plotting Cubic Functions

Ages 14 - 16

Plotting Exponential Graphs

Ages 14 - 16

Plotting Quadratic Functions

Ages 14 - 16

Plotting Quadratic Graphs Revision

Ages 14 - 16

Plotting Reciprocal Functions

Ages 14 - 16

Solving Cubic and Reciprocal Equations Graphically

Ages 14 - 16

Solving Quadratic Equations Graphically

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Graphical functions: A-Level

These A-Level lessons focus on sketching polynomial and reciprocal graphs from structure and on interpreting intersections between non-linear graphs. Topics include:

  • Sketching cubic graphs using roots and intercepts
  • Sketching quartic graphs from factorised forms
  • Finding points of intersection between two non-linear graphs
  • Sketching reciprocal graphs and comparing key properties

Used in:

Ages 16 +

Points of Intersection

Ages 16 +

Sketching Cubic Graphs

Ages 16 +

Sketching Quartic Graphs

Ages 16 +

Sketching Reciprocal Graphs

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