• Generate and describe integer sequences.
  • Express simple functions in symbols; represent mappings expressed algebraically.
  • Plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT.


  • Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using ICT.
  • Generate sequences from practical contexts and write an expression to describe the nth term of an arithmetic sequence.
  • Find the inverse of a linear function.
  • Construct functions arising from real-life problems and plot their corresponding graphs.
  • Represent problems and synthesise information in algebraic, geometric or graphical form; move from one form to another to gain a different perspective on the problem.


  • Find the next term and the nth term of quadratic sequences and functions and explore their properties.
  • Deduce properties of the sequences of triangular and square numbers from spatial patterns.
  • Plot the graph of the inverse of a linear function; know simple properties of quadratic functions.

Key Vocabulary:

  • sequence, term, nth term, rule, relationship, generate, predict, continue, function, linear sequence, quadratic sequence, first difference, second difference, difference pattern, general term, function box, ascending, descending, prediction, inverse.

Suggested Lesson Outcomes:



Teaching & Learning Resources:

Function Machine Resources
Sequences Resources
Nth Term Resources
Mapping Resources
Plotting Graph Resources