• Recognise multiples up to 10 ´ 10; know and apply simple tests of divisibility.
  • Identify factors of two-digit numbers.
  • Use a calculator to square numbers.
  • Recognise and extend number sequences.
  • Read and plot coordinates in the first quadrant.
  • Represent and interpret data in a graph (e.g. for a multiplication table).
  • Solve mathematical problems, explaining patterns and relationships.


  • Recognise and use multiples, factors (divisors), common factor and primes (less than 100); use simple tests of divisibility.
  • Recognise the first few triangular numbers, squares of numbers to at least 12 ´ 12, and the corresponding roots.
  • Use the square root key.
  • 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.
  • Generate coordinate pairs that satisfy a simple linear rule; plot the graphs of simple linear functions, where y is given explicitly in terms of x, on paper and using ICT; recognise straight-line graphs parallel to the x-axis or y-axis.
  • Solve word problems and investigate in a range of contexts: number and algebra.
  • Identify the necessary information to solve a problem; represent problems mathematically, making correct use of symbols, words, diagrams, tables and graphs.


  • Find the prime factor decomposition of a number.
  • Use squares, and positive and negative square roots.
  • Use the function keys for sign change, powers and roots.
  • Generate terms of a linear sequence using term-to-term and position-to-term definitions, on paper and using a spreadsheet or graphical calculator.
  • Begin to use linear expressions to describe the nth term of an arithmetic sequence.
  • Express simple functions in symbols; represent mappings expressed algebraically.
  • Generate points in all four quadrants and plot the graphs of linear functions; recognise that equations of the form
    y = mx + c correspond to straight-line graphs.
  • Solve more complex problems by breaking them into smaller steps.
  • Represent problems and interpret solutions in algebraic or graphical form, using correct notation.

Key Vocabulary:

  • algebra, symbol, expression, function, sequence, term, nth term, consecutive, predict, rule, generate, continue, divide, factor, prime, remainder, square number, triangular number, squared, generate, sequence, coordinates, coordinate pair, x-value, y-value, table, straight line, finite, infinite, ascending, descending.

Suggested Lesson Outcomes:



Teaching & Learning Resources:

Multiples Resources
Factors Resources
Powers Resources
PFD Resources
Calculator Resources
Sequences Resources
Linear Sequences Resources
nth Term Resources
Coordinates Resources
y=mx c Resources