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Extended essay 2027
DP essentials
Extended essay 2027 Free

A Brief Teacher’s Guide to the 2027 IBDP Extended Essay Supervising a student on their Extended Essay (EE) can be a rewarding part of teaching in the International Baccalaureate Diploma Programme (IBDP)....

29 September 2026
Managing the Exploration (IA)
Internal assessment
Managing the Exploration (IA) Free

Our 12-page Student Guide for the Exploration (version 15) can be downloaded here. An abbreviated version can also be viewed on the Exploration Student Guide page which is categorized as 'student accessible'...

27 September 2026
Compound Angle Formulae HL
Review/revision
Compound Angle Formulae HL

On this page, we will learn about the compound angle formulae used in trigonometry. These are really important because they open up so many other formulae in trigonometry. In particular, we can derive...

27 September 2026
Sequence & Series
Teaching resources & guidance
Sequence & Series

Preliminary Questions  𝅛  Teaching Notes  𝅛  Teaching Materials  𝅛  Focused Assessments  𝅛  Quizzes & Tests ⭕ Learning Objectives SL and HL students: (no additional HL content) •  recognising arithmetic...

23 September 2026
Original mock exams
External assessment
Original mock exams

∎ 21 original mock exams with full worked solutions for each exams ∎ Important: In an effort to maintain security and value, please do not share any of the mock exams below - either digital or paper copies...

20 September 2026
Binomial Theorem
Teaching resources & guidance
Binomial Theorem

Preliminary Questions  𝅛  Teaching Notes  𝅛  Teaching Materials  𝅛  Focused Assessments  𝅛  Quizzes & Tests ⭕ Learning Objectives SL and HL students: HL students only: •  expanding binomials with natural...

17 September 2026
Using student access
Start here
Using student access

Student access allows you to share selected parts of the Mathematics: Analysis and Approaches site directly with your students. You can create a class and control which student resources you want your...

15 September 2026
IA idea #6 - Directrix of a parabola
Internal assessment
IA idea #6 - Directrix of a parabola

Consider the following property for parabolas. Many students do not know what the directrix of a parabola is - which is a bit of a shame because then they are not aware of the fact that a parabola is...

14 September 2026
IA idea #5 - Area of a parabolic segment
Internal assessment
IA idea #5 - Area of a parabolic segment

I'm always on the look out for interesting mathematical 'nuggets' that might lead to something suitable for a student Exploration (IA task). Here is a very interesting fact about the area of a parabolic...

14 September 2026
IA idea #4 - Pentagonal tessellations
Internal assessment
IA idea #4 - Pentagonal tessellations

An SL student asked for my thoughts about her writing an Exploration on tilings of the plane (Euclidean tessellations). I must admit that my initial thought was that it would be easy for a student to...

14 September 2026
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