Pattern begins with noticing. It asks what repeats, what almost repeats and what hidden rule might explain the surface.
A pattern is stronger when you can explain it, not just spot it.
Pattern
What hidden structure can we notice beneath the surface?
Write 2, 4, 8, 16, 32.
Describe the pattern in words, with a rule and with a picture. Which description reveals most?
Try noticing
Notice 1
What repeats exactly?
Notice 2
What changes while the structure stays familiar?
Notice 3
Can you predict the next case and explain why?
Notice 4
Can you find a near miss that breaks the pattern?
Knowledge you may need
Tools and visualisations
RepetitionPatternChance
Cellular Automata Explorer
Explore how simple local rules create order, randomness and emergent patterns.
ExplorationPatternQEDReasoningRepresentation
Classical Ciphers and Frequency Analysis Lab
Encode, decode and attack simple ciphers using shifts, keys and letter frequencies.
ExplorationRepetitionPatternChange
Conway's Game of Life Explorer
Run still lifes, oscillators and gliders in a two-dimensional cellular automaton.
ExplorationPatternQEDReasoning
GCSE Algebra Fluency Builder
Practise expanding, factorising, solving and rearranging with staged difficulty.
ToolRepetitionChangePattern
Logistic Map and Chaos Explorer
Iterate a simple recurrence and explore fixed points, cycles and chaos.
ExplorationRepetitionTransformationPattern
Mandelbrot and Julia Set Explorer
Zoom into fractal boundaries created by repeated complex iteration.
ExplorationConnectionQEDReasoningPattern
Planarity and Map Colouring Lab
Explore planar graphs, Euler's formula, crossings and map colouring.
ExplorationChanceConnectionPattern
Random Graph Lab
Explore G(n, p), connected components and random network behaviour.
ExplorationWhere this appears in school maths
Sequences, algebra and number
Patterns lead naturally into nth terms, factorisation, powers, divisibility and structure.
Geometric thinking
Visual patterns and symmetry help students see structure before naming it formally.