About cookies

The NCETM site uses cookies. Read more about our privacy policy

Please agree to accept our cookies. If you continue to use the site, we'll assume you're happy to accept them.


Personal Learning Login

Sign Up | Forgotten password?
Register with the NCETM

National Curriculum: Algebra - KS3

Created on 24 October 2013 by ncetm_administrator
Updated on 04 June 2014 by ncetm_administrator

National Curriculum: Algebra - Key Stage 3

Pupils should be taught to:

  • Use and interpret algebraic notation, including:
    • ab in place of a × b
    • 3y in place of y + y + y and 3 × y
    • a2 in place of a × a, a3 in place of a × a × a; a2b in place of a × a × b
    • ab in place of a ÷ b
    • coefficients written as fractions rather than as decimals
    • brackets
  • substitute numerical values into formulae and expressions, including scientific formulae
  • understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
  • simplify and manipulate algebraic expressions to maintain equivalence by:
    • collecting like terms
    • multiplying a single term over a bracket
    • taking out common factors
    • expanding products of two or more binominals
  • understand and use standard mathematical formulae; rearrange formulae to change the subject
  • model situations or procedures by translating them into algebraic expressions or formulae and by using graphs
  • use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)
  • work with coordinates in all four quadrants
  • recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane
  • interpret mathematical relationships both algebraically and graphically
  • reduce a given linear equation in two variables to the standard form y=mx+c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically
  • use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations
  • find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs
  • generate terms of a sequence from either a term-to-term or position-to-term rule
  • recognise arithmetic sequences and find the nth term
  • recognise geometric sequences and appreciate other sequences that arise.

Non-Statutory Guidance

Links and Resources



Comment on this item  
Add to your NCETM favourites
Remove from your NCETM favourites
Add a note on this item
Recommend to a friend
Comment on this item
Send to printer
Request a reminder of this item
Cancel a reminder of this item



There are no comments for this item yet...
Only registered users may comment. Log in to comment