IB Mathematics AA: A Complete System

JK
by Junghyun
80 hours on-demand
SL + HL
2025 syllabus

The most comprehensive IB Mathematics AA course available — 80 hours of expert instruction covering every SL and HL topic, 658 question sets with worked solutions, and a dedicated IA module that takes you from topic selection to final submission.

Every lesson is built around the exact question types that appear in IB exams. The IA module goes beyond the syllabus: real worked IAs, regression tools, coding in Google Colab, and coaching strategies for navigating teacher feedback, deadline extensions, and grade appeals.

What you'll learn

The full 2025 IB Maths AA syllabus — all 5 topics for SL, plus HL extensions in Calculus, Complex Numbers, and Proof
658 question sets with fully worked solutions — organised by topic, difficulty, and exam-paper type
IA mastery from scratch — topic selection, research question development, proposal writing, and structuring for maximum marks
7 high-scoring IA topics with worked sample IAs — Regression, Optimisation, Dynamic Programming, Vectors, and more
Practical IA toolkits — Google Colab, Excel, Desmos, and Logger Pro walkthroughs so you can actually execute your chosen topic
IA coaching strategies — responding to teacher comments, handling topic rejection, appealing grades, and avoiding common mistakes

Course curriculum

Built to the 2025 IB Mathematics AA syllabus — 5 core topics covering the full SL + HL programme, plus a comprehensive IA module with worked examples, sample IAs, and practical toolkits.

Topic 1

Number and Algebra

~14h
  • 1.1 Sequences and Series
  • 1.2 Proof and Reasoning
  • 1.3 Binomial Theorems and Combinatorics
  • 1.4 Complex Numbers
  • 1.5 Linear Equations
Topic 2

Functions

~14h
  • 2.1 Functions
  • 2.2 Exponents and Logarithms
  • 2.3 Transformation
  • 2.4 Polynomials
Topic 3

Geometry and Trigonometry

~16h
  • 3.1 Geometry
  • 3.2 Trigonometry
  • 3.3 Trigonometric Functions and Identities
  • 3.4 Vectors
Topic 4

Statistics and Probability

~16h
  • 4.1 Statistics
  • 4.2 Probability
  • 4.3 Distributions
  • 4.4 Random Variables
Topic 5

Calculus

~20h
  • 5.1 Introduction to Differential Calculus
  • 5.2 Properties of Curves
  • 5.3 Application of Differential Calculus
  • 5.4 Integration
  • 5.5 Application of Integration
  • 5.6 Differential Equations
IA

IA Overview

included
  • Everything you need to know about Maths IA
  • IA differences: Maths AA, AI, HL and SL
  • Developing a research question
  • Writing a clear and focused proposal
  • Structuring your IB Math IA
IA

7 Math IA Topics for a 7

included
  • Curve Fitting and Regression Techniques
  • Constrained Optimization
  • Knapsack Problem
  • Family of Curves & Envelope Theorem
  • Numerical Root Finding Techniques
  • Advanced Calculus
  • Matrices and Vectors
IA

Sample IA Work

included
  • Regression & Curve Fitting
  • Constrained Optimization
  • Dynamic Programming
  • Geometry & Graphing
  • Numerical Analysis
  • Advanced Calculus
  • Vectors and Matrices
IA

Practical IA Skillsets

included
  • Google Colab
  • Excel
  • Desmos
  • Logger Pro
  • Topic Rejection — what to do and how to pivot
  • Deadline Extension — how to request and justify
  • Responding to teacher comments
  • Appealing for a higher grade
  • Common Issues / FAQ / Do's and Don'ts
  • Unethical IB Tips (what to avoid)

About the instructor

Junghyun

Junghyun

Maths Specialist · IB · A Level · iGCSE · University Admissions

Junghyun has guided students to top grades in Mathematics across three curricula — IB, A Level, and iGCSE — with additional expertise in UK university admissions tests and first-year undergraduate maths. He teaches online in both English and Korean, working with international-school students from Grade 10 through university level anywhere in the world.

View full profile

Frequently asked questions

Is this course suitable for both SL and HL students?

Yes. The core 5 topics cover the full SL syllabus. HL students get extended content within each topic — Complex Numbers in Topic 1, additional Calculus in Topic 5 — clearly marked so HL students know exactly what to watch.

I'm starting DP1. Is it too early?

It's the ideal time. Topic 1 (Number & Algebra) and Topic 2 (Functions) map to what most schools teach first. Starting the IA Overview module in DP1 gives you a head start on choosing a strong topic before your school's deadline pressure begins.

How long do I have access?

12 months of full access from the enrolment date. All 658 question sets, 61 pages of notes, and IA materials are downloadable PDFs and yours to keep.

What if my child needs 1:1 help with their IA?

Junghyun and our Maths IA specialists offer individual coaching sessions and IA editing packages. Contact us to book a session or ask about our Maths IA editing service.