· Recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back.
· Know squares to at least 10 ´ 10.


· Generate and describe simple integer sequences.
· Generate terms of a simple sequence, given a rule (e.g. finding a term from the previous term, finding a term given its position in the sequence).
· Generate sequences from practical contexts and describe the general term in simple cases.
· Express simple functions in words, then using symbols; represent them in mappings.
· Use letter symbols to represent unknown numbers or variables.
· Suggest extensions to problems by asking ‘What if…?’; begin to generalise and to understand the significance of a counter-example.


· Generate terms of a linear sequence using term-to-term and position-to-term definitions of the sequence, on paper and using a spreadsheet or graphical calculator.
· Begin to use linear expressions to describe the nth term of an arithmetic sequence.
· Represent mappings expressed algebraically.

Key Vocabulary:

· Sequence, term, nth term, consecutive, predict, rule, generate, continue, finite, infinite, ascending, descending, symbol, expression, algebra.

Rich Tasks & Extended Learning Opportunities:

Seqeunces Rich Tasks

Suggested Lesson Outcomes:



Teaching & Learning Resources:

Counting On Resources
Sequences Resources
Linear Sequences Resources
Mapping Resources
nth Term Resources