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Mathematics learning objectives

Blue emphasised text signifies Year 9 extension objectives.

The 'example' links below objectives connect to a supplement of examples that illustrate what pupils should know and be able to do within a particular strand by the end of the year.

Year 7Year 8

3 Algebra

3.1 Equations, formulae, expressions and identities

use letter symbols to represent unknown numbers or variables; know the meanings of the words term, expression and equation
examples (68.59 KB)
recognise that letter symbols play different roles in equations, formulae and functions; know the meanings of the words formula and function
examples (52.27 KB)
understand that algebraic operations follow the rules of arithmetic
examples (77.21 KB)
understand that algebraic operations, including the use of brackets, follow the rules of arithmetic; use index notation for small positive integer powers
examples (99.21 KB)
simplify linear algebraic expressions by collecting like terms; multiply a single term over a bracket (integer coefficients)
examples (136.75 KB)
simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket
examples (144.01 KB)
construct and solve simple linear equations with integer coefficients (unknown on one side only) using an appropriate method (e.g. inverse operations)
examples (137.32 KB)

construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets) using appropriate methods (e.g. inverse operations, transforming both sides in same way)

examples (115.92 KB)

use graphs and set up equations to solve simple problems involving direct proportion
examples (210.4 KB)
use simple formulae from mathematics and other subjects; substitute positive integers into linear expressions and formulae and, in simple cases, derive a formula
examples (161.24 KB)
use formulae from mathematics and other subjects; substitute integers into simple formulae, including examples that lead to an equation to solve; substitute positive integers into expressions involving small powers, e.g. 3x2 + 4 or 2x3; derive simple formulae
examples (412.32 KB)
Click here to view the suggested APP assessment criteria linked to these assessment focuses