Solving equations and inequalities
Groups
Linear equations
The balance method through brackets, fractions and unknowns on both sides.
Quadratic equations
Factorising at both tiers, completing the square and the formula at Higher.
Simultaneous equations
Two unknowns pinned down by two equations, by elimination or substitution.
Solving from a graph
Approximate solutions read off a graph at the crossing points.
Inequalities
Solving inequalities: number lines at both tiers, set notation at Higher.
Forming and solving equations
Turning a worded or geometric problem into an equation and solving it.
Iteration
Higher tier: trapping a root by a sign change, then closing in by iteration.