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IB DP Mathematics AA vs AI (SL/HL) Comparison & 20/20 Internal Assessment (IA) Guide

✍️ Written by Ajay Yadav (Math King of Katargam) 📅 Updated: July 2026

1. IB DP Math AA vs Math AI: Which Subject Should You Choose?

The International Baccalaureate (IB) Diploma Programme offers two distinct mathematics routes at Standard Level (SL) and Higher Level (HL):

Feature / TopicMath AA (Analysis & Approaches)Math AI (Applications & Interpretation)
Primary FocusAbstract mathematics, calculus, algebraic rigor, and formal proofs.Applied mathematics, statistics, mathematical modeling, and technology (GDC).
Calculator UsagePaper 1 is Non-Calculator; Paper 2 requires GDC.GDC is allowed on ALL papers (Paper 1, Paper 2, Paper 3).
Best For University MajorsEngineering, Physics, Pure Mathematics, Computer Science, Economics (HL).Business, Humanities, Social Sciences, Biology, Psychology, Medicine.
Calculus WeightageVery High (algebraic integration, differential equations, proof).Moderate (focused on rates of change & practical modeling).

2. How to Score 20/20 on Your IB Math Internal Assessment (IA)

The Math IA is an individual exploration worth 20% of your final IB Diploma grade. Assessment criteria breakdown:

Criterion A: Presentation (4 Marks)

Structure, organization, coherent writing, clear graphs, tables, and latex mathematical formatting.

Criterion B: Mathematical Communication (4 Marks)

Correct terminology, clear notation, variable definitions, and precise diagram labels.

Criterion C: Personal Engagement (3 Marks)

Personal interest, unique topic choice, independent thinking, and personal reflection on findings.

Criterion D: Reflection (3 Marks)

Critical evaluation of results, analysis of limitations, alternate approaches, and practical implications.

Criterion E: Use of Mathematics (6 Marks)

Appropriate level of math (SL/HL), deep mathematical understanding, accuracy, and thorough validation of results.

3. Top IB Math IA Exploration Topic Ideas

  • Calculus & Architecture: Optimizing the volume and surface area of famous curved buildings (e.g. Lotus Temple, Sydney Opera House) using rotational integration.
  • Statistics & Sports Analytics: Modeling player performance probabilities in Football/Cricket using Poisson and Normal distributions.
  • Fractals & Nature: Calculating the fractal dimension of coastlines or snowflakes using logarithmic scaling.
  • Financial Mathematics: Differential equation models for compound interest decay and stock market option pricing.
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About the Author: Ajay Yadav

Math King of Katargam · 15+ Years Teaching Experience

Ajay Yadav secured 2nd Rank in TAT High School Exam, cracked AIEEE & GATE, and has mentored over 10,000+ students across CBSE, GSEB, IB DP, and JEE Main & Advanced examinations.

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