How we mark — the four MYP criteria explained.
Every piece of mathematics work at MYP is marked against one or more of four criteria (A, B, C, D). Each criterion has its own grade descriptor and looks for different things from a student. This page explains what each criterion really means, with sample tasks for each.
Criterion A
Knowing and Understanding
Criterion A is about mastery of content: selecting the right mathematical method, applying it correctly, and arriving at a correct answer — both in situations the student has practised and in ones they haven't seen before.
In practice this shows up most often in timed tests. The criterion distinguishes between simple, more complex, and challenging problems, and between familiar contexts (close to what was drilled in class) and unfamiliar contexts (where the student must decide which mathematics applies before calculating).
A student who reliably handles familiar problems at a high level will sit around 5–6. Reaching 7–8 requires demonstrating that same reliability in an unfamiliar context — transferring knowledge, not just recalling it.
What a Level 7–8 looks like
“Selects appropriate mathematics for challenging problems in both familiar and unfamiliar situations; applies it successfully; generally arrives at correct solutions across a variety of contexts.”
Sample task
Sample task: a 60-minute non-calculator paper covering topics from the current unit, with Part 1 (familiar problems) and Part 2 (unfamiliar / multi-step problems).
Criterion B
Investigating Patterns
Criterion B is assessed through open-ended mathematical investigations. It asks students to apply problem-solving techniques to discover patterns, describe those patterns as general rules, and then verify — and in Years 10–11, justify or prove — those rules.
The key progression from lower bands to upper bands is independence and rigour. At 1–2, a student spots a simple pattern with teacher prompting. At 7–8, the student independently discovers a complex pattern, states it as a precise general rule (often using algebra or a formula), and demonstrates convincingly that the rule always holds.
Investigation tasks are typically open in structure — students are given a starting situation, some data or a diagram to explore, and asked to work mathematically toward a general conclusion. Good communication (Criterion C) is essential alongside Criterion B work.
What a Level 7–8 looks like
“Applies problem-solving techniques to discover complex patterns; describes patterns as precise general rules consistent with findings; verifies and (in Y10–Y11) proves or justifies those rules.”
Sample task
Sample task: the Frogs Investigation (Y10) — students investigate the number of moves required to swap two groups of frogs of different sizes, find a general rule, and verify it.
Criterion C
Communicating
Criterion C is about the quality of mathematical writing — not the final answer, but how the student records their thinking along the way. It covers notation, terminology, choice of representation (diagram, graph, table, equation), and whether the working is logical enough for someone else to follow without guessing at missing steps.
Criterion C is almost always co-assessed with another criterion. Every test is partly a communication task; every investigation is partly a communication task. A student who gets the right answer but shows no working, uses inconsistent notation, or jumps over steps is limited in Criterion C regardless of their score on A or B.
Parents often notice Criterion C first on a report when they see a student with strong arithmetic but poor marks: the likely issue is working that is too compressed, lacks labels on diagrams, or uses informal language where mathematical terminology is expected.
What a Level 7–8 looks like
“Uses consistent, correct mathematical language and notation; chooses appropriate representations; communicates a clearly coherent line of reasoning; organises work in a logical, easy-to-follow structure.”
Sample task
Sample task: Criterion C is assessed across virtually every assessment, so examples span all task types.
Criterion D
Applying Mathematics in Real-life Contexts
Criterion D is about mathematical modelling: taking a real-world situation, identifying which mathematical tools are relevant, applying those tools to reach a solution, and then stepping back to evaluate how good that solution actually is in context.
A key feature of Criterion D tasks is that the student must make choices — which variables matter, what assumptions to simplify, which model fits the data. There is rarely one correct method. What the criterion rewards is thoughtful selection, accurate application, and honest reflection on the model's accuracy and limitations.
At 7–8, a student doesn't just get a number — they explain how accurate it is, acknowledge where the model breaks down, and say clearly whether the answer makes sense given the real-world context it came from.
What a Level 7–8 looks like
“Correctly identifies all relevant elements of the real-life situation; selects appropriate strategies and applies them to model the situation; reaches a correct solution; explains the degree of accuracy and whether the solution makes sense in context.”
Sample task
Sample task: November Capture-Recapture (Y10) — students model a fish population using the mark-recapture method, calculate a population estimate, and evaluate the accuracy of their model.
How a typical year goes
Across a school year, students will encounter all four criteria — though not necessarily on every assessment. A typical unit includes a test (Criterion A, and almost always Criterion C), and one or two extended tasks: an investigation (Criterion B + C) or a modelling task (Criterion D + C). By the end of Y10 and Y11 each criterion has been assessed across multiple units, and the four separate criterion levels combine into the final MYP grade. For detail on how those criterion scores translate to grades 1–7, see the grade outcomes page.
Grade outcomes and MYP boundaries →