IB Theory of Knowledge 1.10 Area of Knowledge: Mathematics Key Definitions

1.1 Core theme: Knowledge and the Knower (compulsory)

1.2 Optional theme: Knowledge and Technology

1.3 Optional theme: Knowledge and Language

1.4 Optional theme: Knowledge and Politics

1.5 Optional theme: Knowledge and Religion

1.6 Optional theme: Knowledge and Indigenous Societies

1.7 Area of knowledge: The Natural Sciences

1.8 Area of knowledge: The Human Sciences

1.9 Area of knowledge: History

1.11 Area of knowledge: The Arts

2.1 The exhibition at a glance

2.2 The instrument: one question, one best-fit judgement out of 10

2.3 Choosing a prompt: narrowing 35 to 1

2.4 Objects that work: specific real-world context

2.5 Linking an object to the prompt

2.6 The commentary: 950 words across three objects

2.7 The Year 1 exhibition calendar

2.8 Coaching within the rules: what guidance is allowed

2.9 The exhibition event and the administrative requirements

2.10 Moderation: what the IB does with your marks

2.11 Exemplars with band reasoning

2.12 The 35 IA prompts

3.1 The essay at a glance

3.2 The instrument: one question, five bands

3.3 What separates 9-10 from 7-8

3.4 Structure without formula

3.5 Examples are evidence, not decoration

3.6 Introductions, definitions, conclusions

3.7 Counter-pressure that does not cancel: four shapes

3.8 Unpacking any title: the method

3.9 The 1,600 words and the formal requirements

3.10 Exemplars with band reasoning

3.11 Practice titles: using the archive

4.1 M27 Title 1

4.2 M27 Title 2

4.3 M27 Title 3

4.4 M27 Title 4

4.5 M27 Title 5

4.6 M27 Title 6

4.7 TOK Essay General Guide May 2027