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

You clearly identify a real-world pricing problem and keep the investigation centered on a mathematically meaningful question.

Your modelling path from demand to profit is coherent and easy to follow.

You include relevant methods such as differentiation, numerical solving, and a domain for the price variable.

The research question is still a little broad and would benefit from tighter wording and clearer limits.

Some parameter choices are not fully justified by evidence, especially where one data point is used to support a whole model.

The focus occasionally becomes more general than necessary, so the exact basis for judging the result is not always explicit.

You use a good range of mathematical terminology correctly in many places, including profit, derivative, critical point, and elasticity.

Your functions, notation, and variables are generally defined in a way that supports the reader’s understanding.

You demonstrate sound working knowledge of calculus and exponential modelling in the core of the investigation.

Some economic terminology is used imprecisely, especially in the interpretation of elasticity.

A few numerical and interpretive statements do not stay fully consistent across the report.

Several claims would be stronger if the algebra and terminology were explained more carefully and precisely.