IB Diploma

IB Mathematics: Standard Level, Higher Level, AA and AI

One-to-one support for the IB Diploma mathematics courses — built around your specific level, option, and the paper in front of you.

IB DiplomaSL & HLAA & AI

What the exam tests

The IB Diploma offers two mathematics courses, each available at Standard and Higher Level. Analysis & Approaches (AA) leans toward algebraic technique, calculus and formal proof; Applications & Interpretation (AI) leans toward modelling, statistics and technology. Across both, the exam tests not just computation but whether you can interpret a question, choose the right method, and communicate your reasoning clearly.

  • Algebra & functionsManipulating expressions and interpreting how functions behave.
  • CalculusDifferentiation, integration and their applications — more extensive at HL.
  • Statistics & probabilityEspecially central in AI, from distributions to hypothesis testing.
  • Proof & reasoningStructuring a logical, well-justified argument — central to AA.

Common starting points

What students commonly need to prepare

  • A clear map of what's examined across Paper 1, Paper 2 and, at HL, Paper 3.
  • Confidence using the GDC efficiently — knowing when it helps and when it gets in the way.
  • Practice translating command terms ("show that", "hence", "justify") into the right method.
  • Past-paper practice under timed, realistic conditions.
  • For AI: comfort with modelling and technology-based statistics.
  • For AA: fluency with algebraic and calculus technique without over-relying on the GDC.

How preparation works

A clear path from diagnostic to exam-ready

Diagnostic

A clear read on your current strengths, gaps and your specific SL/HL and AA/AI combination.

Structured lessons

Systematic work through the syllabus topics that need the most attention first.

Exam practice

Past-paper questions under realistic time limits, with command-term literacy built in.

Teaching approach

IB Mathematics, taught deliberately

Lessons pair explanation of the underlying concept with deliberate practice on exam-style questions — the aim is that a method makes sense, not just that it works.

Because AA and AI (and SL and HL) genuinely differ in emphasis, lessons stay specific to your course rather than following a generic IB math syllabus.

Practical tips

A few things worth knowing early

Know your command terms

"Show that" wants full working; "state" doesn't. Losing marks here is avoidable.

Don't neglect Paper 3 (HL)

It rewards extended, connected reasoning — worth dedicated practice time.

Practice under time pressure early

Not just in the final weeks before the exam.

Ready to start preparing?

Book your free 30-minute first lesson and let's talk through your goals.

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