What the investigation does
A student-created drawing system becomes a mathematical investigation through conjecture, modular angles, classification and proof.
What the examiner response highlights
The investigation develops from computer-generated observations into defined variables, general rules and a usable prediction procedure.
Diagrams and notation make an unfamiliar system intelligible before the argument becomes more formal.
The conclusion synthesizes results and identifies unresolved cases rather than merely repeating earlier sections.
What to examine critically
Some proposed applications remain undeveloped, and the original paper uses the term mathematical induction inaccurately.
A current Mathematics EE should connect the invented system to established mathematical literature and distinguish computational evidence from proof.
How to use this example
Study the decisions behind the work: how the question is narrowed, what counts as evidence in this subject, how the line of argument develops, and where the evaluation becomes specific. Do not copy its wording, structure or method as a template.
Assessment changes for first examination in May 2027 redesign the criteria around the essay framework, knowledge and understanding, analysis and argument, discussion and evaluation, and reflection. Always check the requirements for your own session.
Essay & examiner commentary
Read online or save both PDFs to study alongside this breakdown.
Source & assessment context
These files come from the IB’s 50 More Excellent Extended Essays (2011). The essay and commentary retain their original attribution. Consult the current guide for your assessment session.
IB Extended Essay resources ↗Current Extended Essay updates ↗
