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

The research question is clearly stated and consistently anchors the investigation.

Justification for excluding prime‐modulus and semiprime‐modulus cases focuses the study on illustrative examples.

The choice of ℤ₃₀ as a primary example effectively demonstrates the classification of units, primes, and composites.

Background sections occasionally digress into historical exposition, diluting the mathematical focus.

The abstract remains too general and lacks specific findings to guide reader expectations.

The methodology relies heavily on brute-force tabulation and heuristic reasoning rather than more sophisticated algebraic arguments.

Consistent use of specialist terminology (units, primes, composites, equivalence classes) and standard mathematical notation.

A broad range of numerical examples (m = 4, 5, 6, 12, 27, 30, 100) illustrates the application of concepts.

Effective use of literature in the abstract situates the investigation within broader number-theory contexts.

The definition of a unit is flawed, undermining some subsequent classifications.

Occasional mixing of Spanish narrative with English quotations and typographical inconsistencies reduce precision.

Proofs are largely informal and the theoretical underpinnings of the prediction method are not fully justified.