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Programme Of Study For Key Stage 3 Mathematics

These are the statements, each one preceeded with the words "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

- a^{2}in place of a × a, a^{3}in place of a × a × a; a^{2}b in place of a × a × b

-^{a}⁄_{b}in place of a ÷ b

- coefficients written as fractions rather than as decimals

- brackets - substitute numerical values into formulae and ex
pressions, including scientific formulae - understand and use the concepts and vocabulary of ex
pressions, equations, inequalities, terms and factors - simplify and manipulate algebraic ex
pressions to maintain equivalence by:

- collecting like terms

- multiplying a single term over a bracket

- taking out common factors

- expanding products of two or more binomials - understand and use standard mathematical formulae; rearrange formulae to change the subject
- model situations or procedures by translating them into algebraic ex
pressions 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 a position-to-term rule
- recognise arithmetic sequences and find the nth term
- recognise geometric sequences and appreciate other sequences that arise.

Click on a statement above for suggested resources and activities from Transum.