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IB Maths IA Criteria Guide

The IB Maths IA is marked out of 20 across 5 criteria. Learn exactly what examiners look for.

These plain-English explanations are based on the assessment criteria in the official IB Mathematics: analysis and approaches and Mathematics: applications and interpretation subject guides (first assessment 2021). Check the current subject guide, available through your school's IB Programme Resource Centre, for the exact wording your teacher will mark against.

A – Presentation 4 marks

How well your IA is organised and structured.

Mark Descriptors

MarksDescriptor
0The IA does not reach the standard described by the descriptors below.
1The exploration has some coherence but is difficult to follow. Few graphs, tables, or diagrams are included or are poorly labelled.
2The exploration has some coherence. Some graphs, tables, or diagrams are included and are appropriately labelled.
3The exploration is generally easy to follow. Graphs, tables, and diagrams are included and are mostly properly labelled.
4The exploration is easy to follow. All graphs, tables, and diagrams are appropriately labelled. The work is legible and is not affected by cosmetic errors.
Examiner example: A strong Grade 7 IA flows naturally from introduction → exploration → conclusion, with every graph clearly titled and every variable defined when first introduced.

Do

  • Use clear headings and subheadings
  • Label every axis on every graph
  • Number all tables and figures
  • Keep to 12–20 pages (not including bibliography)
  • Use consistent font and layout
  • Include a clear introduction and conclusion

Don't

  • Leave unlabelled graphs or tables
  • Write a wall of text with no structure
  • Go over 20 pages - more is not better
  • Use different fonts/styles throughout
  • Submit a poorly scanned or illegible document

B – Mathematical Communication 4 marks

How accurately and precisely you use mathematical language, notation, and representation.

Mark Descriptors

MarksDescriptor
0The IA does not reach the standard described by the descriptors below.
1Some mathematical communication is used but it is limited, inaccurate, or inconsistent.
2Some appropriate mathematical communication but used with some inconsistency or inaccuracy.
3Appropriate mathematical communication used with some inconsistency or occasional inaccuracy.
4Appropriate mathematical communication throughout, used accurately, consistently, and precisely. Multiple forms of representation are used where appropriate.
Examiner example: Instead of "I used the formula for a curve", write: "The quadratic model f(x) = ax² + bx + c was fitted to the data, where x represents time in seconds and f(x) represents height in metres."

Do

  • Define all variables and notation when first used
  • Use correct mathematical symbols (∑, ∫, θ etc.)
  • Move between representations: equation → graph → table
  • Write equations using proper formatting
  • State units where applicable
  • Use formal mathematical language

Don't

  • Mix notation styles inconsistently
  • Leave variables undefined
  • Use informal language ("I timesed x by 2")
  • Only present results without showing working
  • Use calculator notation (e.g. E notation) in formal writing

C – Personal Engagement 3 marks

Evidence that you have genuinely engaged with the mathematics - your curiosity, creativity, and independent thinking.

Mark Descriptors

MarksDescriptor
0The IA does not reach the standard described by the descriptors below.
1There is evidence of limited or superficial personal engagement.
2There is evidence of some personal engagement but this is not well developed.
3There is evidence of significant personal engagement. Independent thinking is apparent. The exploration is creative and/or original.
Examiner example: "I became interested in this topic after fracturing my arm - I wanted to understand mathematically how the surgeon chose the size and angle of the metal plate" - this is genuine, verifiable personal engagement.

Do

  • Explain in the introduction why this topic genuinely interests you
  • Make your own choices within the exploration
  • Collect your own data where possible
  • Add your own observations, not just textbook facts
  • Show genuine curiosity: "I wondered whether..."
  • Extend the standard theory in your own direction

Don't

  • Copy a standard textbook exploration unchanged
  • Use only pre-prepared datasets without personal context
  • Write in a detached, impersonal tone throughout
  • Just summarise what others have done without adding your own analysis

D – Reflection 3 marks

Critical thinking about your process, results, and limitations - not just at the end, but throughout.

Mark Descriptors

MarksDescriptor
0The IA does not reach the standard described by the descriptors below.
1There is evidence of limited or superficial reflection.
2There is evidence of meaningful reflection. Some consideration is given to the significance, limitations, or possible extensions.
3There is substantial evidence of critical reflection. Results are compared and discussed in depth. Meaningful consideration is given to limitations and extensions.
Examiner example: Weak: "My model had some limitations." Strong: "The logistic model assumes a constant carrying capacity, but in reality the environment changes seasonally - a possible extension would be to model K as a periodic function."

Do

  • Comment on what results mean - not just what they are
  • Acknowledge assumptions your model makes
  • Identify specific limitations
  • Suggest genuine extensions
  • Reflect throughout, not just in the conclusion
  • Discuss whether results matched your expectations

Don't

  • Write generic comments like "My IA was limited because maths is hard"
  • Only reflect in the conclusion
  • Claim your model is perfect with no limitations
  • Confuse limitations with errors

E – Use of Mathematics 6 marks

The accuracy, relevance, and sophistication of the mathematics in your exploration.

Mark Descriptors

MarksDescriptor
0The IA does not reach the standard described by the descriptors below.
1Some relevant mathematics is used but it is mainly descriptive and contains significant errors.
2Some relevant mathematics is used. It is mostly accurate. Limited mathematical sophistication is shown.
3Relevant and accurate mathematics is used but the mathematical sophistication is limited, containing only routine procedures.
4The mathematics used is mostly relevant, accurate, and shows some sophistication.
5The mathematics used is relevant, accurate, and shows some sophistication. Thorough understanding of the relevant mathematics is demonstrated.
6Relevant, accurate, and sophisticated mathematics is used. Thorough understanding is demonstrated. The mathematics goes beyond what is required for the course level.
Examiner example: An SL AI student who models population growth using a logistic differential equation and interprets the parameters in context will score better than one who calculates a few percentages and draws a bar chart.

Do

  • Use mathematics that is at or beyond your course level
  • Show all steps - don't just quote a final answer
  • Connect your mathematics to the real-world context
  • Use multiple techniques where appropriate
  • Check your calculations - accuracy is marked

Don't

  • Rely solely on basic arithmetic or simple statistics at HL
  • Use maths that is disconnected from your aim
  • Present calculator outputs without showing the method
  • Make errors in basic algebra that undermine your results

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