IB Math AA HL · Unit 1 of 6

IB Math AA HL Unit 1: Number & Algebra

Unit 1 of IB Mathematics: Analysis and Approaches covers Number & Algebra. This unit contains 16 topics and 53 sub-topics. Below you'll find free study notes, flashcards, and exam preparation resources for every topic in this unit.

Higher Level students should treat this unit page as a route map: revise the shared core, then use the HL notes and topic links to reach the extra depth and evaluation expected at HL.

16 topics53 sub-topics

Exam technique guide

What Unit 1 covers

Sequences and series, exponents and logs, proof, the binomial theorem, counting, complex numbers and systems of equations.

Topics in Unit 1

1.1

Standard form

2 sub-topics

1.2

Arithmetic sequences & series

4 sub-topics

1.3

Geometric sequences & series

3 sub-topics

1.4

Financial applications

3 sub-topics

1.5

Logarithms

2 sub-topics

1.6

Proof

3 sub-topics

1.7

Exponent & log laws

3 sub-topics

1.8

Infinite geometric series

1 sub-topics

1.9

Binomial theorem

3 sub-topics

1.10

Counting & binomial (HL only)

13 sub-topics

1.11

Partial fractions (HL only)

2 sub-topics

1.12

Complex numbers: Cartesian (HL only)

3 sub-topics

1.13

Complex numbers: polar (HL only)

3 sub-topics

1.14

De Moivre & roots (HL only)

3 sub-topics

1.15

Proof by induction (HL only)

3 sub-topics

1.16

Systems of equations (HL only)

2 sub-topics

Study tip: Work through the topics in order — each builds on concepts from the one before. Start with notes, then reinforce with flashcards and practice questions.

Ready to study Number & Algebra?

Get expert practice questions with instant AI feedback, and a study planner tailored to your IB Math AA HL exam date.

Start studying free

All Math AA HL units Unit 2