IB Middle Years Programme Mathematics: Syllabus Guide

This guide covers the full framework of IB Middle Years Programme Mathematics, from 2020, first assessment 2022. It complements the subject overview and the assessment revision notes already on the site by setting out the four branches of mathematical study the framework is built on, and the four assessment criteria used to judge student work – the actual structure teachers and students work within, not just the course’s aims.

Unlike a Diploma Programme syllabus with fixed teaching-hour allocations per topic, the MYP framework is deliberately less prescriptive: schools have flexibility to determine engaging, relevant content that meets local and national curriculum requirements, working within the four branches and four criteria below. The MYP requires at least 50 hours of teaching time for mathematics in each year of the programme, rising to a recommended 70 hours of guided learning per year in MYP years 4 and 5 for students taking MYP eAssessment.

The four branches of mathematical study

• Numerical and abstract reasoning – number sense, operations, and reasoning with abstract mathematical structures.
• Thinking with models – algebra, functions and using mathematical models to represent situations.
• Spatial reasoning – geometry, measurement and reasoning about shape and space.
• Reasoning with data – statistics, probability and drawing conclusions from data.

Schools can develop courses at two levels of challenge: standard mathematics, providing a sound knowledge of basic mathematical principles, and extended mathematics, which supplements the standard curriculum with additional topics and skills for greater breadth and depth.

Key and related concepts

The framework is organised around key concepts of form, logic and relationships, explored through more specific related concepts such as equivalence, approximation, quantity and validity. Students explore these key and related concepts through the same six MYP global contexts used across every subject group – identities and relationships, orientation in space and time, personal and cultural expression, scientific and technical innovation, globalization and sustainability, and fairness and development – which is what gives MYP mathematics its characteristic real-world framing rather than teaching topics in a purely abstract sequence.

The four assessment criteria

• Criterion A: Knowing and understanding – selecting and applying mathematics to solve problems in familiar and unfamiliar situations across the four branches.
• Criterion B: Investigating patterns – working through investigations as a risk-taker, inquirer and critical thinker.
• Criterion C: Communicating – using appropriate mathematical language and forms of representation, both orally and in writing.
• Criterion D: Applying mathematics in real-life contexts – transferring theoretical knowledge into real-world situations, drawing valid conclusions and reflecting on results.

Each criterion carries equal weight and is scored on eight achievement levels (1-8), grouped into four descriptor bands, and teachers use these same published band descriptors – not a separate, informal rubric – to judge classroom coursework throughout the year, not only the final on-screen examination.

MYP eAssessment structure

Students seeking IB MYP course results or the MYP certificate in mathematics complete a 2-hour on-screen examination covering material from any of the four branches, made up of three tasks:

• Knowing and understanding (criteria A and C) – 31-35 marks.
• Investigating patterns (criteria B and C) – 31-35 marks.
• Applying mathematics in real-life contexts (criteria C and D) – 31-35 marks, sometimes requiring extended writing to evaluate and justify a mathematical model.

Criterion C is assessed across all three tasks, to a combined mark total of 25 – communication is not confined to a single task the way the other three criteria broadly are.

A sample of the applying-mathematics task style

The official brief illustrates the applying-mathematics task with a data-driven scenario: a researcher records how many cars pass through a junction over a period of minutes, and the resulting data is modelled by a quadratic equation. Students are asked to use the model to calculate a value, then explicitly comment on the validity of their answer – for example, recognising that a model producing a negative number of cars, or predicting traffic flow far outside the time period the data was actually collected over, is not a realistic result even though it follows correctly from the equation. Extended mathematics students are then asked to use the same model algebraically, solving for the input variable rather than only substituting into it. This style of question – calculate, then critically evaluate what the calculation actually means – runs through the applying-mathematics task generally, not just in this one example.

How to approach it

Because criterion C (communicating) is assessed across all three eAssessment tasks rather than confined to one, developing the habit of showing full working, using correct mathematical notation, and clearly explaining reasoning in every piece of work – not just on tasks that look like “writing questions” – pays off across the whole examination, not just one section. Because the framework explicitly ties key and related concepts to real-world global contexts, practising with genuinely real, meaningful scenarios (not just abstract drill problems) directly prepares students for the applying-mathematics task, which specifically rewards drawing valid, well-justified conclusions from a real-life situation rather than simply arriving at a numeric answer.

MYP mathematics eAssessment tasks are explicitly designed to be aligned with the understanding and skills that prepare students for high levels of achievement in DP mathematics courses – so the habits built here, particularly the discipline of checking whether a calculated answer is actually realistic, carry forward directly into both DP Mathematics courses’ problem-solving and reasoning assessment objectives.

Official syllabus

International Baccalaureate Organization, Middle Years Programme Subject Brief – Mathematics, from 2020, first assessment 2022.