IB Math AI HL · Unit 1 of 6

IB Math AI HL Unit 1: Number & Algebra

Unit 1 of IB Mathematics: Applications and Interpretation covers Number & Algebra. This unit contains 15 topics and 41 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.

15 topics41 sub-topics

Exam technique guide

What Unit 1 covers

Standard form, sequences and finance, exponents and logs, complex numbers, matrices and eigenvalues.

Topics in Unit 1

1.1

Standard form

4 sub-topics

1.2

Sequences and sigma notation

4 sub-topics

1.3

Geometric sequences

4 sub-topics

1.4

Financial applications: compound interest and annual depreciation

5 sub-topics

1.5

Exponents and logarithms

4 sub-topics

1.6

Approximating and estimating

4 sub-topics

1.7

Loan repayments and amortization

4 sub-topics

1.8

Technology methods for linear and polynomial systems

4 sub-topics

1.9

Log laws (HL only)

1 sub-topics

1.10

Non-integer exponents (HL only)

1 sub-topics

1.11

Infinite geometric series (HL only)

1 sub-topics

1.12

Complex numbers: intro (HL only)

1 sub-topics

1.13

Complex numbers: continued (HL only)

2 sub-topics

1.14

Matrices (HL only)

1 sub-topics

1.15

Eigenvalues & eigenvectors (HL only)

1 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.

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All Math AI HL units Unit 2