Mathematics Analysis and Approaches (AA) Exemplars

About Mathematics Analysis and Approaches (AA) Coursework Exemplars

The Coursework Exemplars section gives IB students (both SL and HL) access to real, high-quality samples of IB Mathematics Analysis and Approaches (AA) Internal Assessments (IA) and Extended Essays (EE). Each exemplar is carefully selected to model top-scoring work, aligned with IB assessment rubrics and showcasing what examiners expect at different achievement levels.

On this page, you'll find full-length exemplars annotated with examiner commentary, highlighting strengths, weaknesses, and specific rubric-based insights. These samples demonstrate how ideas are structured, arguments developed, and criteria met to achieve high marks.

Every exemplar is enriched with Jojo AI

About Mathematics Analysis and Approaches (AA) Coursework Exemplars

How do facial proportion variations across the top 20 most beautiful people from different ethnicities correlate with the Golden Ratio

Finding the area of the Earth visible from a given height

How do the Divider and Box-Counting methods compare in determining the fractal dimension of Langkawi Island's coastline?

Evaluating the Accuracy of Finite Difference Approximations for Solving Differential Equations using a Pharmacokinetic Model for the Elimination of Ibuprofen

Modelling the face of the Great Sphinx and determining its volume

How do the shape and dimensions of reflective surfaces inside a kaleidoscope affect the patterns formed and can mathematical modelling be utilised to enhance the visual appeal of these patterns?

Investigating the Influence of Cochlear Curvature on Low-Frequency Hearing Limits Across Different Species

How forward head posture angle affect the original height of the Kolej Mara Bantings students which correlate to the length of wingspan

Investigating the coastline paradox and fractal dimensions

How can Lotka-Volterra equations and Verhulst’s logistic growth models be applied and compared to model the population and behavior of European rabbits (Oryctolagus cuniculus) in the UK from 1995 to 2024?

Modeling and Calculating the Surface Area of a Plastic Container

Mathematical Modeling of Rainfall Patterns and Predicting Flood Risk of Kinabatangan River in Sandakan, Sabah

Investigating the Relationship between Age and 100-Meter Sprint Times through Mathematical Modelling and Regression

Exploring the volume of glass used to make a perfume bottle, which is a solid of revolution.

: What is the future of the Earth-Bennu system with asteroid Bennu posing a future threat to Earth having its closed elliptical orbit intersect that of Earth?

Modelling the average annual gross income of Romania and finding the most accurate model.

How are Bayes’ theorem and probability trees used to predict the probability of having Cystic Fibrosis, or being a carrier of it, given that a positive test result was obtained?

Mathematical Modeling of Cigarette Prices and Smoking-Related Deaths in the UK (2000–2021) with Adaptations for Mexico

Optimizing Cylindrical Tank Dimensions to Minimize Leaking

How can the cross-sectional shape and dimensions of open flow drainage channels be optimized to maximize flow efficiency while minimizing construction and maintenance?

To what extent are envy-freeness and strategy proofness mutually attainable attributes in solutions to the rental harmony fair division problem?

Analyzing Geometric Efficiency in Perfume Bottle Design: A Comparative Study of Volume and Surface Area

Comparing income inequality between the Netherlands and the United States in 2021 by modelling their Lorenz Curves and calculating their Gini Coefficients

How can mathematical modelling that employs differential equations determine population growth patterns for a Wolf and an Elk?

How do the numerical integration methods, trapezoidal rule in Newton Cote Formula and midpoint rule in Riemann’s sum compare in terms of efficiency?

How can mathematical modelling be used to investigate the electrocardiogram (ECG) complex of patients with hypertension?

¿De qué manera los elementos de un conjunto Zm pueden clasificarse en términos de unidades, primos y compuestos?

How can the Pell-type equation and Vieta jumping method be applied to solve integer divisibility problems in the OSN 2023 District Level problem?

The Linear Correlation between Points on the Math Test and Study Time

How do different growth models affect the long-term behaviour of the Lotka-Volterra model?

to find the design that have the least surface area so that I can choose which design that benefits me the most by having fewer amount of paint

To what extent can Geometric Brownian Motion accurately predict the stock prices of Apple?

Does the time needed for an alpine skier to slide down the hill increase when the path connecting the fixed initial and final points becomes longer?

How can Markov Chain models be effectively utilized to analyze and predict the probabilistic transitions between different states in political conflicts, and what factors influence the stability and resolution of these conflicts?

How do the trigonometric functions, calculus derivatives, and vector analysis used in the modelling of car crash scenarios in reconstruction simulations?

Using optimization to determine the optimal position of the NBA 3-point line for balanced scoring

Calculus: Using optimization to decide whether a start-up jewelry brand should make or buy products to maximize profits

To what extent can Euler’s method accurately approximate the solution to the differential equation of the series RL circuit?

How does Elliptic Curve Cryptography secure data transportation over web channels through the discrete logarithm problem, using elliptic curves defined over finite fields?

How can Bèzier curves be utilised to model paths and movement in video games?

Exploring the distribution of prime numbers using Dirichlet’s theorem and polar coordinate visualization of arithmetic progressions

How do the properties of multicomplex numbers influence the dynamics of Mandelbrot and Julia set when extended to a multidimensional plane and how does this compare and contrast to traditional complex numbers counterparts?

How good are mathematical methods like counting and combinatorics at evaluating the efficiency and ergonomics of two of the most popular methods for solving the Rubik's Cube?

The Chaos Theory and its ability to predict the Stock Market’s future

‘To what extent can modular arithme(c be applied to solve problems related to the calendar?’

The Mathematics Behind the Security of the RSA Algorithm and the Diffie-Hellman Key Exchange Protocol