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IB Mathematics: Application and Interpretation (SL or HL)

Successful completion of Year 10 Mainstream, High or SELP Mathematics.


This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. To give this understanding a firm base, this course also includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. The course makes extensive use of technology to allow students to explore and construct mathematical models. Mathematics applications and interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures. 

Distinction between SL and HL Students who choose Mathematics applications and interpretation at SL or HL should enjoy seeing mathematics used in real-world contexts and to solve real-world problems. Students who wish to take Mathematics applications and interpretation at higher level will have good algebraic skills and experience of solving real-world problems. They will be students who get pleasure and satisfaction when exploring challenging problems and who are comfortable to undertake this exploration using technology.

Syllabus Components



  • Number and algebra

  • Functions

  • Geometry and trigonometry

  • Statistics and probability

  • Calculus

The "toolkit" and mathematical exploration

Investigative, problem-solving and modelling skills development leading to an individual exploration. The exploration is a piece of written work that involves investigating an area of mathematics.


Standard Level:

Internal Assessment: (20%)

Mathematical Exploration 

External Assessment: (80%) Examinations at the end of the second year.

Paper 1 - Technology allowed (90 mins) (40%)

Paper 2 - Technology required (90 mins) (40%)

Higher Level:

Internal Assessment: (20%)

Mathematical Exploration

External Assessment: (80%) Examinations at the end of the second year.

Paper 1 - Technology required (2 hours) (30%)

Paper 2 - Technology required (2 hours) (30%)

Paper 3 - Technology required (1 hour)  (20%)

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