IB Math AI HL · Unit 3 of 6

IB Math AI HL Unit 3: Geometry & Trigonometry

Unit 3 of IB Mathematics: Applications and Interpretation covers Geometry & Trigonometry. This unit contains 16 topics and 27 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 topics27 sub-topics

Exam technique guide

What Unit 3 covers

3D geometry and trig, radians, matrix transformations, vectors, and graph theory / networks.

Topics in Unit 3

3.1

3D space, volume, angles, and midpoints

3 sub-topics

3.2

2D and 3D trigonometry

2 sub-topics

3.3

Angles of elevation and depression

2 sub-topics

3.4

Circle arc length and area of sector (degrees)

2 sub-topics

3.5

Line intersections and perpendicular bisectors

2 sub-topics

3.6

Voronoi diagrams

2 sub-topics

3.7

Radians (HL only)

1 sub-topics

3.8

Unit circle & trig equations (HL only)

1 sub-topics

3.9

Matrix transformations (HL only)

2 sub-topics

3.10

Vector definitions (HL only)

1 sub-topics

3.11

Vector equation of a line (HL only)

1 sub-topics

3.12

Vectors & kinematics (HL only)

2 sub-topics

3.13

Scalar & vector products (HL only)

2 sub-topics

3.14

Graph theory (HL only)

1 sub-topics

3.15

Adjacency matrices (HL only)

1 sub-topics

3.16

Route algorithms (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.

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