IB Mathematics Analysis and Approaches (AA) SL Extended Essay Example

The student communicates a mathematically appropriate topic from the start and keeps it connected to the investigation.

The student's research question is clear enough to guide the report and is addressed throughout the discussion.

The student's method is coherent, varied, and largely replicable, with appropriate use of modelling, numerical comparison, and exact integration.

The key comparison term could be defined more precisely at the beginning so the investigation has a sharper decision rule.

The method would be stronger if the student justified some parameter choices earlier and more explicitly.

A few parts of the focus are broad, especially where effectiveness is judged by more than one criterion without a clear hierarchy.

The student uses mathematical terminology and notation accurately and consistently for most of the investigation.

The student shows strong subject knowledge by applying logarithmic spirals, regression, polar area, convergence, and the Jacobian in relevant ways.

The student's mathematical ideas are connected to the investigation rather than presented as isolated background.

A few terms and labels are imprecise, such as confusing relative and absolute error in one place.

Some notation and equations should be written more cleanly so the fitted model is unambiguous.

A small number of claims would benefit from tighter mathematical qualification or clearer variable definition.