keyboard_arrow_down

Subjects

Subjects offered in the IB

Six main areas of study

Studies in language and literature, Language acquisition, Individuals and society, Sciences, Mathematics and The arts.

Studies in language and literature 

Danish HL 
English HL/SL
Language Self-Taught SL*

Language acquisition**

English B HL
Danish B HL
German B HL/SL
Spanish a.i. SL
Danish a.i. SL

Individuals and society 

History HL/SL
Business and management HL/SL
Global Politics HL/SL
Psychology HL/SL

Sciences

Biology HL/SL
Chemistry HL/SL
Physics HL/SL
Sports, exercise and health science SL

Mathematics

Analysis and Approaches HL/SL  
Applications and Interpretation SL 

The arts***

Film SL

*This is your mother tongue or your best language. If your best language is Danish, you must choose ‘Danish’ as your subject in this category whereas if your best language is English, Iraqi or German you must choose English, Iraqi or German as your respective native languages.

**This category includes a Language B, a second language, and an ab initio (beginner’s) language.

***You can choose either Film or you can substitute Film for EITHER:

Another language (from group 2)
Another individuals and society subject (group 3)
Another science (group 4)

Choosing your subjects

Most subjects are offered on two levels – Standard and Higher Level. You must choose 3 subjects on standard level (SL) and 3 subjects on higher level (HL). All subjects, except your mother tongue (category 1) , are taught in English.

You must choose one subject from each of the 6 different areas of study. However, you may substitute the last category, the Arts, for one additional subject in one of the other categories, for example the Science category.

When choosing your subjects, it is important to consider different factors. What subjects do I enjoy? What do I want to study after graduating?  What subjects do I need to take to get accepted into my favourite post-secondary program? What subjects am I good at?

NB: Subjects will only be offered if a sufficient number of students sign up.

Overview of the IB Mathematics courses offered

Mathematics: Analysis and Approaches (AA)

Focus:

Emphasis on algebra, calculus, and pure mathematics.
Suitable for students interested in mathematics, engineering, physical sciences, economics, natural sciences and medicine.

Levels:Available at both Standard Level (SL) and Higher Level (HL).
Higher LevelAnalysis HL is known for its rigorous and in-depth content, particularly in calculus and algebra. Theoretical and abstract mathematical concepts are explored extensively, making it challenging for many students.
Standard Level:Analysis SL also covers challenging topics but to a lesser extent than HL. It still requires a solid understanding of mathematical theories.
Content:Topics include algebra, functions, trigonometry, calculus, and mathematical proof.
Skills Developed:Analytical thinking, problem-solving, and theoretical understanding of mathematical concepts.

Mathematics: Applications and Interpretation (AI)

Focus:

Emphasis on statistics, modelling, and the application of mathematics to real-world contexts.
Suitable for students interested in social sciences, statistics, business, and some economics courses.

Levels:Offered only at Standard Level (SL).
Content:Topics include statistics, probability, algebra, functions, and calculus, with a focus on practical applications.
Skills Developed:Data analysis, statistical reasoning, mathematical modelling, and interpretation of results. The calculator is an integrated part of the course.

FAQ about IB Math

The three courses have both similarities and differences. These are summarized in the table below.

SimilaritiesDifferences
Same topicsTopics don’t weigh the same
Applications SL and Analysis SL:
2 exam papers
Analysis HL:
3 exam papers
Applications SL and Analysis SL:
  • Same teaching hours
  • Some shared content
Analysis HL:
  • More teaching hours
  • More content than Analysis SL
All of Analysis SL is also in Analysis HL       Applications SL have some unique subtopics
Calculator is important in all courses! 

 

There is not a shared alignment of the acceptance of the IB Mathematics courses between universities worldwide.

 Analysis HLAnalysis SLApplications SL
Danish university acceptance:A-levelB-levelB-level
Possible to
upgrade to A-level?
 Possible to upgrade to the Danish A-level
(in Danish)*
Possible to upgrade to the
Danish A-level
(in Danish)*
Educations/
Universities in other countries**
Required for some educationsRequired at some UniversitiesSome Universities does not accept Applications SL


*See section about “Gymnasiale suppleringskurser (supplement courses)”

**For the acceptance of IB Mathematics course at a specific University or education you need to visit their webpage or contact the University in question.

 

 

There could be many reasons to choose a specific course.
The table below list some of the reasons to choose a specific Math course.

Analysis HLAnalysis SLApplications SL
You love math!

You have decent algebraic skills (doing math by hand).

You still need to learn how to use the calculator

You prefer ”problem solving” math.
You need it for further education.You need it for further education.You are good at reading and understanding in English – the questions are often phrased as long text problems.
 You are considering upgrading to an A-level (in Danish)*.You are good with technology – the calculator is an essential part of the course – but algebraic skills are still needed.

*See section about “Gymnasiale suppleringskurser (supplement courses)”

It happens that students enrol in the wrong Math course. There could be many different reasons for that happening. Therefore, we allow students to switch between Math courses in the initial part of the IB diploma programme.

Analysis SL and Applications SL are both considered as a B-level at Danish universities. It is possible to upgrade that to a Danish A-level by taking a supplement course. Note that this course is held in Danish.

The type of math in the Danish A-level is mostly like Analysis and Approaches. So, if you already know you might want to upgrade your math it is highly recommended that you take Analysis SL.

Read more about Gymnasiale suppleringskurser (gsk)

Some universities offer supplement course prior to the start of the education.

The nearest school to offer supplement course is in Aarhus. They offer the possibility to upgrade math from B to A level as a Turbo course, Online course or Summer course.
Read more about Gymnasial Supplering hos Aarhus HF og VUC

If you still have questions about the different Math courses here at Ikast-Brande Gymnasium, feel free to contact us.

Anders Kristensen: kr@ikast-gym.dk

The core

At the core of the Diploma Programme model is the Extended Essay (EE), Creativity, Activity and Service (CAS), and Theory of Knowledge (ToK).
 
These subjects are the heart of the Diploma Programme (DP) and obligatory for all students. You must pass all three subjects to pass the DP.
 

EE
is a 4,000 words research paper which students complete during the second half of their first year and the first half of their second year. In order to pass the DP, the student must also pass the EE.

CAS
is a subject that takes place outside of school hours. Students are encouraged to participate in extra-curricular activities, volunteer work and community work and must track their work in a log. Read more about CAS here.

ToK
is a subject that teaches students how to think critically and focuses on questions of methodology and theories of knowledge. Students are encouraged to reflect on questions such as: How do we know what we know? What is truth? What does it mean that something is ‘scientific’? The final exam is a written paper.
 
Need more information? Please contact our school and/or visit: www.ibo.org/programmes/diploma-programme/curriculum/

 

© International Baccalaureate Organization 2025

keyboard_arrow_down

TOK - Theory of knowledge

"Theory of knowledge gives students the chance to think about the purpose and goals of what they are studying. It asks: Why do we need mathematics when we have calculators? Why are we sure that Shakespeare is so great? And how come the natural sciences are seen as the most reliable guide to understanding the world when its theories keep changing all the time? Our students learn the interdisciplinary standpoint needed for any serious university study, and they’ll develop practical critical thinking skills essential for navigating the oceans of information that flood our phones and laptops every second."

Matthew Travers, TOK teacher

Questions about the IB? 

You are always welcome to contact us...

Gitte Vestergaard Pilley

IB Coordinator

phone+45 9715 3611

mailE-mail

Gitte Vestergaard Pilley


IKAST-BRANDE GYMNASIUM
Bøgildvej 6, DK-7430 Ikast   •   phone +45 9715 3611   •   mail ig@ikast-gym.dk   •    mail sikker(secure) mail

Kontortid:
Man-tors 8:00-15:00 og fredag 8:00-14:00

Webtilgængelighed
Tilgængelighedserklæring

 

keyboard_arrow_up