IB Math

IB Mathematics: Analysis and Approaches (AA) — The Complete Guide

RevisionDojo
••4 min read

Course Overview

Mathematics: Analysis and Approaches (AA) is intended for students with a strong affinity for abstract mathematics. It prioritizes algebraic reasoning, calculus, and formal proofs over applied uses. The curriculum is structured around five core topics:

  • Number & Algebra
  • Functions
  • Geometry & Trigonometry
  • Statistics & Probability
  • Calculus

AA is available at both Standard Level (SL) and Higher Level (HL):

  • SL: ~150 teaching hours, building a solid theoretical foundation.
  • HL: ~240 teaching hours, delving deeper into calculus, proofs, and vector geometry.

Key Skills Developed

Students in AA refine a variety of essential mathematical competencies:

  • Proficient algebraic manipulation
  • Mastery over functions, including exponentials and logs
  • Logical geometric reasoning and trigonometry
  • Understanding probability and data analysis
  • Advanced differential and integral calculus, with an emphasis on proofs (especially HL)
  • Competency in technology use, like graphing calculators and dynamic software
  • Clarity in mathematical communication and proof-writing techniques

Assessment Structure

External Examinations

  • SL:
    • Paper 1 (no calculator)
    • Paper 2 (calculator allowed)
  • HL:
    • Papers 1 and 2 (calculator rules apply)
    • Paper 3, which emphasizes extended problem-solving and proofs

Internal Assessment (IA)

Both SL and HL students complete a mathematical exploration where they independently research and present a topic of their choice, showcasing their analytical and investigative skills.

Summary Table

Acquire the official subject brief and syllabus details through the IB Mathematics AA guide .

Levels

  • SL: ~150 hours

  • HL: ~240 hours

Syllabus Topics

  • Number & Algebra

  • Functions

  • Geometry & Trigonometry

  • Statistics & Probability

  • Calculus

Emphasis

  • Theoretical understanding

  • Formal proofs

  • Advanced problem-solving

Assessments

  • SL: 2 papers + Internal Assessment (IA)

  • HL: 3 papers + Internal Assessment (IA)

Skills Developed

  • Algebra

  • Calculus

  • Statistics

  • Reasoning

  • Mathematical communication

Ideal Candidates

  • Students pursuing STEM, mathematics, engineering, or physical sciences

Strengthening Your AA Journey with RevisionDojo

RevisionDojo is an advanced prep platform ideal for IB Math AA students, helping both SL and HL learners excel:

  • 💡 Expertly structured topic reviews aligned with AA content, perfect for self-paced study.
  • 🔢 Practice problems tailored to build algebra, calculus, and proof skills.
  • 🧠 Unique Math IA guidance and tips, drawn from subject-matter experts.
  • 📝 Smart study tools that boost comprehension and exam readiness.

🎯 Explore AA resources, tackle challenging problems, and prepare your IA with confidence at revisiondojo.com.

Why Choose AA Over AI

Choose Analysis & Approaches if:

  • You enjoy pure mathematics and logical problem-solving.
  • You're pursuing STEM majors like engineering, physics, or mathematics.
  • You prefer constructing formal proofs and discovering mathematical structure.

In contrast, Applications & Interpretation (AI) is more suitable if you're drawn to statistics, data modeling, and real-world scenarios—ideal for subjects like business or social sciences.

Final Thoughts

IB Mathematics AA is rigorous, intellectually stimulating, and perfect for students with a passion for theory and abstraction. Whether you're working through higher-level calculus, constructing proofs, or crafting your IA, RevisionDojo provides the tools, structure, and guidance needed to thrive.

🔗 Start optimizing your IB Math AA performance today: revisiondojo.com