Algebra

Symbols, equations, sequences and graphs — the language that lets you solve for the unknown.

Use of Symbols & Index Laws

Writing maths using letters and the rules that govern powers and roots.
Expanding & Factorising

Multiply out brackets and reverse the process to spot hidden structure in expressions.
Algebraic Fractions

Simplify, add, subtract and solve fractions where letters sit where numbers normally would.
Completing the Square & Proof

Rewrite quadratics in a tidier form and use algebra to prove results work for all values.
Changing the Subject of a Formula

Rearrange any formula so the letter you want ends up alone on one side.
Solving Linear Equations

Find the value of the unknown by doing the same thing to both sides of an equation.
Simultaneous Equations

Solve two equations at once to find values for two unknowns that satisfy both at the same time.
Quadratic Equations

Equations with an x² term — three methods to solve them and which to reach for first.
Inequalities

Work with ranges of values rather than one exact answer, on a number line and in two variables.
Sequences

Spot and describe patterns in number lists, and write a formula for any term in the sequence.
Function Notation & Transformations

Use f(x) notation, find composite and inverse functions, and see how graphs shift and stretch.
Linear, Quadratic & Other Graphs

Draw and interpret straight lines, parabolas, and curved graphs from their equations.
Iteration

Use a repeating formula to zoom in on a solution, getting closer with each step.