MYP Extended Mathematics includes the Standard Mathematics foundation plus additional breadth, depth and complexity. Common Extended topics include logarithms, bounds, sequences, function transformations, rational functions, non-right-angled trigonometry, standard deviation, correlation and conditional probability.
However, the MYP is a curriculum framework rather than an identical textbook syllabus followed by every school. The IB mathematics curriculum page explains that schools develop Standard and Extended courses within the framework. Your teacher's current course outline is therefore the definitive checklist for your class.
How MYP Extended Mathematics is organized
The current IB framework groups mathematics into four branches. These correspond closely to the familiar topic labels used in school resources and earlier guides.
| Current framework language | Familiar grouping | Main focus |
|---|---|---|
| Numerical and abstract reasoning | Number | Number systems, accuracy, exponents and logarithms |
| Thinking with models | Algebra and functions | Equations, sequences, graphs, functions and models |
| Spatial reasoning | Geometry and trigonometry | Shape, measurement, transformations and trigonometry |
| Reasoning with data | Statistics and probability | Data analysis, correlation and probability |
Schools may use either set of labels. They describe the same broad mathematical territory, not separate curricula.
MYP Standard Mathematics vs Extended Mathematics
Extended Mathematics contains the Standard foundation and adds more advanced content and reasoning. Extended students must therefore remain secure with fractions, percentages, exponent laws, equations, graphs, geometry, basic trigonometry, statistics and probability.
| Standard Mathematics | Extended Mathematics |
|---|---|
| Develops understanding of core mathematical principles | Adds breadth, depth and abstraction to the core foundation |
| Includes familiar and unfamiliar problems at an appropriate level | Places greater emphasis on generalization and multi-step reasoning |
| Covers core equations, functions, geometry and data | Extends these areas through advanced functions, trigonometry and probability |
Extended is not simply Standard with harder numbers. Questions may require students to connect several ideas, select a method independently or justify why a model is appropriate. The Standard and Extended Mathematics comparison explores this distinction further.
Topics in MYP Extended Mathematics
The following table summarizes content commonly included in Extended courses. Exact sequencing and emphasis vary between schools.
| Branch | Standard foundation | Common Extended content |
|---|---|---|
| Numerical reasoning | Fractions, percentages, ratio, scientific notation, surds and integer exponents | Rational exponents, logarithms, upper and lower bounds, advanced inequalities and multi-step accuracy problems |
| Algebra and modelling | Expressions, factorization, equations, simultaneous equations, quadratics and basic graphs | Arithmetic and geometric sequences, domain and range, function transformations, rational functions, non-linear inequalities, linear programming, networks and algorithms |
| Geometry and trigonometry | Angles, similarity, congruence, coordinate geometry, mensuration, Pythagoras and right-angled trigonometry | Converse of Pythagoras, sine rule, cosine rule, trigonometric modelling, rational enlargements and complex area or volume problems |
| Statistics and probability | Sampling, averages, box plots, cumulative frequency, scatter graphs, sets, tree diagrams and combined events | Standard deviation, quantitative correlation, grouped-data histograms, dependent events, probability rules and conditional probability |
Some schools may also include vectors, covariance or more formal transformation notation. Their inclusion in classroom materials does not automatically establish that they are required assessment content.
What the Extended topics involve
Bounds require students to use limits, not merely identify them. If a length is recorded as to the nearest tenth, then
An Extended question might use these limits to determine bounds for an area or volume. Logarithms similarly extend exponent work: because , . The RevisionDojo logarithms topic reviews this relationship.
Sequences and functions require structural understanding. The geometric sequence has general term . If , then translates the graph three units right and two units up. Rational functions add excluded values, asymptotes and domain restrictions.
The sine and cosine rules extend trigonometry beyond right-angled triangles:
The sine rule is useful when a side and its opposite angle are known. The cosine rule suits three known sides or two sides and their included angle.
In data work, standard deviation measures spread around the mean. Conditional probability distinguishes , where both events occur, from , the probability of given that has occurred. Students must also remember that correlation alone does not establish causation.
How MYP Extended Mathematics is assessed
MYP mathematics assesses more than factual recall. Student work is evaluated through four objectives:
- Criterion A: Knowing and understanding
- Criterion B: Investigating patterns
- Criterion C: Communicating
- Criterion D: Applying mathematics in real-life contexts
Topics describe the mathematics studied, while criteria describe the quality of a student's performance. You may need to form a general rule, communicate a logical argument, select an appropriate model and evaluate whether an answer is reasonable. The official MYP mathematics subject brief summarizes the framework, while RevisionDojo's guide to criteria A, B, C and D explains their effect on written solutions.
Enrichment and assessed content
IB materials may identify some mathematics as enrichment. Enrichment offers optional extension and is not automatically included in MYP eAssessment merely because it appears in a guide or textbook.
A school may also teach an Extended skill in a Standard class when it supports a unit. Studying logarithms or vectors therefore does not by itself prove that a course is officially designated Extended. Confirm the course designation and assessed scope with your teacher.
How to revise MYP Extended Mathematics
Create a checklist using the four branches and label each topic secure, developing or not yet learned. Then use a short revision cycle:
- Review the concept and one worked example.
- Answer focused questions without notes.
- Check the mathematics and communication.
- Record why each error occurred.
- Retry missed questions several days later.
- Finish with mixed problems requiring method selection.
Do not focus only on recognizably Extended material. Weak fractions, factorization, equations or right-angled trigonometry make logarithms, rational functions and the cosine rule unnecessarily difficult. The MYP Extended Mathematics resource hub supports topic review, while the Extended Mathematics Questionbank provides targeted and mixed practice.
Common mistakes
Frequent mistakes include neglecting Standard foundations, confusing enrichment with assessed content, ignoring domain restrictions and applying the sine rule without an opposite side-angle pair. Students also confuse independent events with mutually exclusive events or give statistical results without contextual interpretation.
A complete solution should identify the principle used, show accurate substitution, retain suitable precision and interpret the result with appropriate units. This matters because Extended Mathematics assesses reasoning and communication, not only the final number.
Conclusion
MYP Extended Mathematics builds on Standard Mathematics across numerical reasoning, algebra and modelling, geometry and trigonometry, and statistics and probability. Because schools organize the framework locally, always confirm the exact content with your teacher. RevisionDojo Study Notes, the Questionbank and Jojo AI can then support focused review and complete-solution practice.
Sources and referenced URLs
- IB mathematics in the Middle Years Programme
- Official IB MYP mathematics subject brief
- IB research on the MYP mathematics skills framework
- RevisionDojo MYP Extended Mathematics resources
- RevisionDojo Extended Mathematics Questionbank
- RevisionDojo logarithms topic
- RevisionDojo Standard and Extended Mathematics comparison
- RevisionDojo guide to MYP Mathematics criteria
