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Using letters for numbers and collecting like terms.
Single, double and triple brackets.
Common factors, quadratics and the difference of two squares.
Substituting values and rearranging formulae.
Solving equations, including with brackets and unknowns on both sides.
Solving and representing inequalities on a number line.
Solving by elimination and substitution.
Factorising, the formula and completing the square.
The nth term of linear and quadratic sequences.
Gradient, intercept and y = mx + c.
Recognising and sketching quadratic, cubic and reciprocal graphs.
Simplifying and combining algebraic fractions, and solving equations that contain them (Higher).
Proving results about integers and identities with algebra.
Function notation, composite and inverse functions (Higher).
Change of sign and iterative formulae for approximate solutions (Higher).
Solving quadratic inequalities with a sketch (Higher).
Translations and reflections of y = f(x) (Higher).
The sine, cosine and tangent graphs and their key features.
Circles centred at the origin and tangents to them (Higher).
Work through each topic to complete the section.