Notation and vocabulary

How algebra is written, its vocabulary, and turning words into symbols.

5 pages

Substitution

Replacing letters with numbers, and the sign and power slips that cost marks.

4 pages

Simplifying expressions

Collecting, multiplying and dividing terms, with Higher-tier index laws.

7 pages

Expanding brackets

Multiplying over one bracket, then pairs and triples of brackets.

7 pages · 1 Higher

Factorising

Writing an expression as a product, from common factors to quadratics.

5 pages · 1 Higher

Formulae and changing the subject

Building a formula from a description, and changing the subject.

4 pages · 1 Higher

Algebraic fractions

Higher tier: simplifying algebraic fractions and the four operations on them.

3 pages · 3 Higher

Functions

A function as an input–output rule, inverted and combined at Higher tier.

4 pages · 3 Higher

Identities and proof

Telling equations from identities, and Higher-tier algebraic proof.

4 pages · 2 Higher