IB Maths IA Examples (AA & AI – SL & HL)

The IB Mathematics Internal Assessment (IA) is an individual exploration contributing 20% to your final IB score. Students investigate a mathematical topic of personal interest and present structured analysis demonstrating mathematical understanding, communication, and reflection.

Unlike traditional exams, the IA evaluates how well you apply mathematics to real situations. Students are expected to show logical reasoning, clear mathematical processes, and thoughtful reflection on results.

The IA encourages curiosity and independent thinking. Whether analyzing patterns in sports, modeling population growth, or exploring calculus in architecture, students demonstrate how mathematics connects to the real world.

Official guidelines can be found on the IBO Mathematics Curriculum Page.

IB Maths AA HL IA Examples

• Differential Equations in Epidemic Modeling
• Fourier Analysis of Sound Waves
• Optimization of Bridge Structures Using Calculus
• Exploring Fractals and Mandelbrot Sets
• Modeling Chaotic Systems with Logistic Maps

IB Maths AA SL IA Examples

• Projectile Motion in Basketball
• Maximizing Profit Using Calculus
• Population Growth Models
• Area Optimization Problems

IB Maths AI HL IA Examples

• Markov Chains in Weather Prediction
• Statistical Modeling of Stock Prices
• Machine Learning Probability Concepts
• Network Graph Theory Applications

IB Maths AI SL IA Examples

• Regression Analysis of Housing Markets
• Correlation Between Sleep and Academic Performance
• Loan Repayment Function Modeling
• Sports Performance Statistical Study

Choosing a topic aligned with your interests increases engagement and improves the quality of reflection — a key factor in achieving top marks.

• Introduction & Rationale – Clear aim and personal motivation.
• Mathematical Exploration – Correct formulas, derivations, models.
• Technology Use – Appropriate use of Desmos, GeoGebra, Excel.
• Reflection & Evaluation – Limitations and improvements.
• Conclusion – Logical summary of findings.
• References – Proper citation format.

A well-structured IA demonstrates clarity of thought and mathematical precision. Examiners reward clear explanations, logical progression, and evidence of independent thinking.

• Choosing overly complex topics without understanding
• Too much theory, not enough exploration
• Poor structure and formatting
• Lack of reflection section
• Copying online samples without personalization

Students often lose marks not due to weak mathematics, but because they fail to explain their reasoning or evaluate limitations. Personal engagement and reflection are critical scoring components.

• 1-to-1 Personalized IA Guidance
• Topic Selection Strategy Session
• Mathematics Depth Improvement
• Draft Review & Feedback
• IB Examiner-Level Insight

Our mentors help students refine ideas, strengthen mathematical depth, and develop clear, examiner-friendly presentations that meet IB assessment criteria.