UK / IM / 01
Lower secondary maths mastery
The middle years maths that every later topic leans on.
Open the syllabusIB Middle Years Programme · MYP 1 to 5 · Ages 11 to 16
MYP mathematics is the maths course of the International Baccalaureate's Middle Years Programme, which the IB designs for students aged 11 to 16. Schools teach it at standard or extended level across four branches: number, algebra, geometry and trigonometry, and statistics and probability. Work is judged against four criteria, each with eight achievement levels, rather than a percentage score. Modern Age Coders teaches MYP maths live online, in a small group or one to one, through our lower secondary mathematics course, alongside whatever your school is covering. This page explains the framework from the IB's own subject brief, what each criterion asks for, and how to investigate a pattern the way Criterion B expects.
From the IB's MYP mathematics subject brief (from 2014, published 2015), read 31 October 2026 · Not connected with the IB or any school
What is IB MYP maths?
IB MYP mathematics is the mathematics course of the International Baccalaureate Middle Years Programme, for students aged 11 to 16. The IB's subject brief says its framework "outlines four branches of mathematical study": number, algebra, geometry and trigonometry, and statistics and probability, and that schools can offer it at two levels of challenge, standard and extended. Students are assessed against four equally weighted criteria, A to D, each with eight achievement levels, and in MYP year 5 may sit an on-screen examination of three 40-mark tasks. Modern Age Coders teaches MYP maths live online, in a group or 1-on-1, through our lower secondary maths mastery course.
Where to start
The first fits MYP years 1 to 3; the second carries an MYP 4 or 5 student towards extended content; the third looks ahead to the Diploma. Each card opens a syllabus.

MYP / 01
Number, pre-algebra, geometry and data for MYP years 1 to 3, with written explanation in every lesson.
Open the syllabus →
MYP / 02
Quadratics, trigonometry, functions and probability at the depth an extended MYP 4 or 5 course reaches.
Open the syllabus →
MYP / 03
For an MYP 5 student who wants to see the Diploma courses before choosing between them.
Open the syllabus →The framework
There is no single fixed syllabus. The IB sets a framework of four branches, key and related concepts and global contexts, and each school chooses its content within it. The brief says the framework "offers schools flexibility to determine engaging, relevant, challenging and significant content that meets local and national curriculum requirements."
| Element | What the brief lists |
|---|---|
| Branches | Number; algebra; geometry and trigonometry; statistics and probability |
| Levels of challenge | Standard and extended |
| Key concepts that frame the MYP | Form, logic and relationships, among others |
| Related concepts in maths (examples) | Equivalence, measurement, quantity and justification |
| Global contexts | Identities and relationships; orientation in space and time; personal and cultural expression; scientific and technical innovation; globalization and sustainability; fairness and development |
| Teaching time | At least 50 hours per subject in each year; 70 hours of guided learning recommended in MYP years 4 and 5 for eAssessment students |
| Assessment | Four equally weighted criteria, A to D, each with eight achievement levels in four bands |
Source: International Baccalaureate, Middle Years Programme Subject Brief, Mathematics, from 2014 (an unaltered copy hosted by an IB school; ibo.org refused our requests). The IB revises its programmes; your school's current guide is the final word. Modern Age Coders has no affiliation with the IB.
Two MYP schools can teach different topics in the same year. A student moving school, or a family comparing notes, should ask for the unit plan rather than assume. The four branches are fixed; the order and examples are not.
That flexibility is why a tutor who only knows one country's exam syllabus can be unhelpful. We start from the school's unit and the criterion being assessed, then teach the maths underneath.
The brief says the MYP "promotes sustained inquiry in mathematics by developing conceptual understanding within global contexts". In practice a unit on linear functions might sit inside a context such as fairness and development, and the summative task will ask students to apply the maths there.
Students who are fluent with procedures but have never had to explain why a method works can find this uncomfortable at first. That is the gap we work on.
Two levels
The brief answers in two sentences: "Standard mathematics aims to provide a sound knowledge of basic mathematical principles. Extended mathematics supplements the standard curriculum with additional topics and skills, providing greater breadth and depth of study."
It says schools "can develop courses at two level of challenge", so extended is an addition to standard, not a separate subject. On-screen examinations, it says, "are available in mathematics and extended mathematics".
It does not give a list of extended-only topics in the copy we read, and we will not invent one. Your school's scope and sequence shows which topics it treats as extended.
We ask which level the school has placed the student in, and look at the last unit's task. A student in extended maths who is struggling usually has a gap in algebraic fluency from an earlier year; we repair that first.
A standard student who is secure and curious can be taught extended topics alongside, without pressure to change sets. The decision about sets belongs to the school.
| Branch | Typical standard work (ours) | Where extended work often goes further (ours) |
|---|---|---|
| Number | Fractions, percentages, standard form, ratio | Surds and rational exponents handled confidently |
| Algebra | Linear equations and graphs, simple quadratics | Quadratic functions, inequalities and simultaneous non-linear equations |
| Geometry and trigonometry | Pythagoras, right-angled trigonometry, area and volume | Non-right-angled triangles, circle geometry, vectors |
| Statistics and probability | Averages, charts, simple probability | Conditional probability and comparing distributions |
The table above is our own planning tool: the order in which we teach these topics to MYP 4 and 5 students. It is not an IB document, it is not a claim about any school's course, and your school may draw the line between standard and extended differently. Check the school's unit plans.
How work is judged
Four equally weighted criteria. The brief says each "has eight possible achievement levels (1 to 8), divided into four bands with unique descriptors that teachers use to make judgments about students' work."
| Criterion | Name | What the brief says students do |
|---|---|---|
| A | Knowing and understanding | Select and apply mathematics to solve problems in familiar and unfamiliar situations, across the four branches |
| B | Investigating patterns | Work through investigations to become risk-takers, inquirers and critical thinkers |
| C | Communicating | Use appropriate mathematical language and different forms of representation, orally and in writing |
| D | Applying mathematics in real-life contexts | Transfer theoretical knowledge to real situations, apply problem-solving strategies, draw valid conclusions and reflect on results |
A test can score 6 out of 8 on Criterion A and 3 out of 8 on C. The second number is often the more useful one for a student to hear about.
Each criterion's eight levels sit in four bands, each with its own descriptor. Moving up a band usually needs a different kind of work, not more of the same.
Teachers match work to descriptors. We never grade a school task or predict a level; we teach the skills the descriptors name.
Students who get right answers but write only the answers often sit low on communicating. The brief asks for appropriate mathematical language and different forms of representation. In our lessons that means: say what you are finding, show the method in order, and state the result with units.
It is a habit, so we practise it on ordinary exercises, not only on assessed tasks.
Applying maths to a real situation ends with a question the maths cannot answer alone: is this result reasonable here? The brief asks students to "draw valid conclusions and reflect upon their results".
We teach students to finish every applied problem with one sentence on whether the answer makes sense in context, and one on what the model leaves out.
MYP year 5
It is optional for a school and its students. The brief says students "seeking IB MYP course results or the IB MYP Certificate" complete "an end-of-course on-screen examination", which in mathematics comprises three tasks.
| Task | Criteria assessed | Marks |
|---|---|---|
| Knowing and understanding | A and C | 40 |
| Investigating patterns | B and C | 40 |
| Applying mathematics in real-life contexts | C and D | 40 |
On-screen examinations "address all four branches of mathematical study and may include any topics or skills in the MYP mathematics framework." They are available at both levels, mathematics and extended mathematics.
For the MYP certificate the brief lists two-hour on-screen examinations in language and literature, individuals and societies, sciences, mathematics and interdisciplinary learning, an ePortfolio, a moderated personal project, and service as action.
Session dates, grade boundaries and any changes since this brief was published sit on IB pages that refused our requests. Your school's MYP coordinator has them.
We do not reproduce IB examination tasks. Our lessons use problems we write, at the level and in the style of the criteria, and we point students to the practice materials their school provides.
Notice that Criterion C appears in all three tasks. Clear communication is assessed every time the student writes maths in the exam, which is one more reason we build it into ordinary lessons from MYP 1.
Our lesson family
Move from a few cases, to a table, to a general rule, to a check, to a reason why. The investigation below is ours, written for this page; it is not an IB task.
| Step | What to show (ours) | Criterion it serves |
|---|---|---|
| Cases and table | Organised data, not scattered sums | B |
| Rule | A general statement in words and in algebra | B and C |
| Test | A new case not used to find the rule | B |
| Reason | Why the rule works, not only that it does | B and C |
| Presentation | Labelled diagrams, correct notation, a clear conclusion | C |
Our practice tasks. Investigate each one through all six steps. (1) Add the first n odd numbers: 1, 1 + 3, 1 + 3 + 5 and so on. What do you notice, and why? (2) How many handshakes happen when n people each shake hands once with everyone else? Compare with the diagonals rule. (3) How many squares of any size are on an n by n grid? Our hints: (1) the totals are square numbers, and an L-shaped layer of dots shows why; (2) n(n minus 1) divided by 2, because each person shakes n minus 1 hands and each handshake is counted twice; (3) the totals 1, 5, 14, 30 are sums of square numbers.
Investigating patterns is one of the four criteria and one of the three exam tasks, and it rewards a skill that school timetables rarely leave time to practise slowly: going from examples to a reason.
It also builds the algebra extended maths needs. Writing n(n minus 3) divided by 2 from a counting argument is algebra used for something.
If a student brings a school investigation that will be assessed, we do not work on that task with them. We teach the method on a different problem, like the ones here, and the student applies it alone.
That keeps the assessed work the student's own, which is the point of assessing it.
MYP 1 to 5
The brief requires at least 50 hours of maths teaching each year, and recommends 70 hours of guided learning in years 4 and 5 for students sitting the on-screen exam.
| MYP year | Usual age | Maths to secure (ours) |
|---|---|---|
| 1 | 11 to 12 | Fractions, decimals, negative numbers, writing a method in sentences |
| 2 | 12 to 13 | Ratio, simple equations, angles and area, organising data |
| 3 | 13 to 14 | Linear graphs, Pythagoras, probability, first full investigations |
| 4 | 14 to 15 | Quadratics, trigonometry, statistics; standard or extended set |
| 5 | 15 to 16 | Consolidation across all four branches; the on-screen exam if the school enters it |
Most MYP students go on to the IB Diploma, where maths splits into analysis and approaches or applications and interpretation; see our IB maths tuition page.
Some move to other sixth-form routes; our A level maths page covers that path.
All related courses
By stage. Each card opens its syllabus.
UK / IM / 01
The middle years maths that every later topic leans on.
Open the syllabusUK / IM / 02
Expressions, equations and graphs built step by step.
Open the syllabusUK / IM / 03
Problems that train the investigating habit.
Open the syllabusUK / IM / 04
Quadratics, trigonometry and functions in depth.
Open the syllabusUK / IM / 05
One of the four MYP branches, taught fully.
Open the syllabusUK / IM / 06
Analysis and approaches, applications and interpretation.
Open the syllabusUK / IM / 07
Test a pattern on a thousand cases in Python.
Open the syllabusHow lessons run
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Teachers work from India, which keeps a single time zone all year; for UK families India time is four and a half hours ahead in summer and five and a half in winter, and we schedule in your own local time if you are elsewhere.
After school
An hour in the early evening, UK time.
Weekend morning
For students with packed weekday activities.
Before a unit test
A short run of lessons on the unit's maths.
We follow the school's current unit, not a fixed national scheme.
Every lesson practises one of A to D on purpose.
A group of 15 to 20 at one level, or a single student with a teacher.
Practice is written by us; we do not reproduce IB tasks.
We teach the method on other problems and never touch a school task.
Achievement levels are the school's judgement, never ours.
Student work
Projects by students in our classes, from maths models to games. More on student labs.

AI and ML
An AI nutrition coach that reads what you eat and works you toward a target.

AI and ML
A chatbot that answers mathematics and programming questions, built and deployed by a student.

AI and ML
An assistant that helps a young person recognise unsafe situations online.

Web app
A weather forecasting site with live conditions for any location.
Fees
A monthly fee, shown in the currency we use for your region, paid month by month without a long contract. The first lesson is free.
Free first class
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Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
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MYP maths questions
The IB framework has four branches: number, algebra, geometry and trigonometry, and statistics and probability. Each school chooses the content and order within that framework, so ask your school for its unit plans.
The IB brief says standard maths gives a sound knowledge of basic principles, while extended maths adds topics and skills for greater breadth and depth. Extended builds on standard rather than replacing it.
Against four equally weighted criteria: knowing and understanding, investigating patterns, communicating, and applying mathematics in real-life contexts. Each criterion has eight achievement levels in four bands.
Schools may enter MYP year 5 students for an on-screen examination, available in mathematics and extended mathematics. The IB brief describes three tasks of 40 marks each.
We do not reproduce IB examination material. Your school's MYP coordinator can tell you which IB practice materials the school uses; our lessons use problems we write ourselves.
The IB brief says at least 50 hours of teaching time for each subject in each year, and recommends 70 hours of guided learning a year in MYP years 4 and 5 for students in eAssessment.
We teach the method of investigating on different problems and never work on an assessed school task. The student then applies the method alone, so the assessed work stays their own.
Usually with written reasoning and investigation, which national courses practise less. A free diagnostic lesson shows whether the maths content itself also needs work.
The IB brief says MYP mathematics on-screen examinations are aligned with understanding and skills that prepare students for IB Diploma Programme maths courses. Most MYP students go on to one of the two Diploma maths courses.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. UK families book in UK time; families elsewhere book in their own time zone.
Related pages
The Diploma, other secondary courses, and our UK hub.
Analysis and approaches, applications and interpretation.
The Diploma computing course.
For students switching to IGCSE.
For students moving into a UK school.
For IB families in the Gulf.
All our UK pages.
Part of the guide: UK maths exam boards and specification codes
More guides: UK maths year by year, Reception to Year 11 · UK selective school maths tests: 7+, 11+, 13+ and 16+ · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils
Start here
Tell us the MYP year, standard or extended, and the current unit. We will teach part of that unit in the first lesson and show you where the gaps are.
Reading first? Every course page lists its syllabus, and how we teach describes a lesson from start to finish.
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