IB Math Analysis and Approaches: Complete Guide for SL and HL Students

RevisionDojo
4 min read

What Is IB Math Analysis and Approaches?

Mathematics: Analysis and Approaches (AA) is one of two IB math courses introduced in 2019 to replace Math SL, Math HL, and Math Studies. It focuses on theoretical mathematics, emphasizing algebra, calculus, and functions.

It is ideal for students who enjoy:

  • Solving abstract problems
  • Exploring proofs and the logic behind formulas
  • Preparing for careers in math-heavy fields like engineering, physics, economics, or computer science

IB Math AA is offered at both Standard Level (SL) and Higher Level (HL), with HL offering more depth and complexity.

Who Should Take IB Math AA?

Choose AA if you:

  • Are strong in algebra and enjoy manipulating equations
  • Plan to study math, physics, engineering, data science, or computer science at university
  • Prefer working with functions, calculus, and proof-based questions rather than modeling or statistics

For careers in business, psychology, or the humanities, Math Applications and Interpretation (AI) may be a better fit.

Key Topics in IB Math AA

SL Topics:

  • Algebra
  • Functions and Equations
  • Trigonometry
  • Vectors
  • Calculus
  • Statistics and Probability (briefly)

HL Topics (All SL topics plus deeper content):

  • Advanced calculus
  • Complex trigonometric functions
  • Sequences and series
  • Proofs and mathematical induction
  • Differential equations
  • More rigorous problem solving and abstraction

HL also includes additional hours of instruction and challenging past paper questions.

Assessment Structure

For SL:

  • Paper 1 (Non-calculator): 90 minutes, 40% of final grade
  • Paper 2 (Calculator): 90 minutes, 40% of final grade
  • Internal Assessment (IA): 20% of final grade

For HL:

  • Paper 1 (Non-calculator): 120 minutes, 30%
  • Paper 2 (Calculator): 120 minutes, 30%
  • Paper 3 (Extended Response, Calculator): 60 minutes, 20%
  • IA: 20% of final grade

The Math AA Internal Assessment (IA)

The IA is a mathematical exploration (6–12 pages) where students investigate a math concept of their choice.

Examples:

  • The mathematics of music scales
  • Modeling disease spread
  • Fractals in nature
  • Predicting outcomes in game theory

Tips for success:

  • Choose a topic that truly interests you
  • Apply real-world data or simulations
  • Use clear structure and correct notation
  • Reflect on the limitations and scope of your model

How Is IB Math AA Graded?

Like all IB subjects, AA is graded from 1 to 7 based on performance in the final exams and the IA.

To do well:

  • Practice consistently with past papers
  • Review each topic thoroughly and cross-link concepts
  • Clarify errors early and seek help on weak areas
  • Use a graphic display calculator effectively (especially HL)

FAQs: IB Math Analysis and Approaches

Q1: What’s the main difference between AA and AI?
AA is more theoretical, focusing on algebra and calculus. AI is more applied, with emphasis on statistics and modeling.

Q2: Should I take AA HL or SL?
Take AA HL if you're confident in math and aiming for STEM degrees. Take AA SL if you want a strong math foundation without the intense depth.

Q3: Is IB Math AA accepted by universities?
Yes. Top universities (especially in STEM fields) often prefer or require AA HL for competitive programs.

Q4: Is the IA the same for AA and AI?
The structure is similar, but the math content and focus differ based on course type and level.

Q5: How long is the course?
AA SL: ~150 teaching hours.
AA HL: ~240 teaching hours.

Q6: Can I switch between AA and AI later?
It depends on your school’s policy and timing. It’s easiest early in Year 1.

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