About Course

One course for Mathematics: Analysis and Approaches (AA) — Standard Level and Higher Level together. Ten complete mock examination sets written in the style, length and mark structure of the final IB exams, with a full marking key for every paper and TI-Nspire CX II screen guides throughout.

How it works

You choose your level the moment you open the course. Standard Level students work through the five SL sets. Higher Level students cover those same five SL sets first — that is the core syllabus every HL paper is built on — and then move up to the five HL sets, which carry the additional Higher Level content and a full Paper 3. Switch level at any time; nothing is hidden from you once you are in.

What is inside

SL track — five sets. A non-calculator Paper 1 and a calculator Paper 2, 80 marks and 90 minutes each, Section A and Section B. Each set comes with a complete marking key.
HL track — five more sets. Paper 1, Paper 2 and Paper 3 at Higher Level length and difficulty. Paper 3 is the Higher Level problem-solving paper — one long investigation, 55 marks in an hour.
Marking keys with full working and IB mark codes — M for method, A for accuracy, R for reasoning, FT for follow-through — so you can mark your own work honestly and see exactly where the marks went.
GDC bootcamp — the TI-Nspire CX II skills every paper assumes you already have.
Formula booklet map at both levels — find any formula in seconds.
Diagnostic quiz at each level, so you know which topics to attack first.
The 10-day revision plan and the final-48-hours checklist.

Between them the sets cover the whole syllabus at your level. A student who sits every paper under timed conditions, marks honestly against the keys and closes each gap they find has practised every sub-topic at grade-7 standard.

Try it first — free

Mock Set 1 Paper 1 is free to preview at both levels before you pay anything, marking key included. Open it, sit it under time, mark it, and decide from there.

Every paper and every marking key here is written and assessed by qualified teachers.

These are original Stadira practice papers written in IB style — not past IB papers. “IB” is a registered trademark of the International Baccalaureate Organization, which has not endorsed this course.

Doing your Maths IA? Start here — free.

Our free Internal Assessment Studio takes you step by step through the exploration: find a focused topic, write one clear aim, plan and do your maths, make your graphs, and download your draft. Choose AA when you start: you get AA topics, AA methods (calculus, sequences, proof) and the same step-by-step guidance to a Word or PDF draft.

Course Content

Start Here — How This Course Works
Read this first: how to use the five mock sets, exam rules for AA SL (Paper 1 non-calculator, Paper 2 calculator), how to self-mark with the IB-style keys, and your 10-day revision plan.

Welcome — How to Use This Course
Exam Technique Masterclass — Command Terms, Self-Marking & Zero-Mistake Habits
Diagnostic Quiz — Find Your Weak Topics in 10 Questions
HL · Diagnostic Quiz — Find Your Weak Topics in 10 Questions
Topic Revision — Course Map (all 88 pages)

GDC Bootcamp — TI-Nspire CX II
For Paper 2 only (Paper 1 is non-calculator). Press-to-Test exam mode, and the core TI-Nspire CX II skills used throughout the marking keys: nSolve, graphing and intersections, numerical derivatives and integrals, statistics and distribution menus.

Formulas & Calculator — Whole-Course Summary
Your whole course on one page: every SL and HL formula, topic by topic, with the TI-Nspire CX II keys to press and what the screen shows. Paper 1 is non-calculator, so learn them by hand too.

Learn 1 · Standard form, exponents & logarithms (AA 1.1, 1.5, 1.7) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 1.1, 1.5, 1.7: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 1 · Sequences, series & financial applications (AA 1.2–1.4, 1.8) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 1.2–1.4, 1.8: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 1 · Simple proof & the binomial theorem (AA 1.6, 1.9) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 1.6, 1.9: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Topic Revision 1 · Number & Algebra — SL & HL
Short notes, the by-hand method for Paper 1, TI-Nspire steps for Paper 2 and 118 worked questions for every SL subtopic of Topic 1 — plus a Paper 1 no-calculator drill. HL students study these too.

HL · Learn 1 · Counting principles, extended binomial theorem & partial fractions (AA 1.10, 1.11) — HL
Full step-by-step notes with Prof. Kitso for AA 1.10, 1.11: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 1 · Complex numbers: Cartesian, polar & Euler forms (AA 1.12, 1.13) — HL
Full step-by-step notes with Prof. Kitso for AA 1.12, 1.13: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 1 · De Moivre’s theorem, roots of complex numbers & polynomial roots (AA 1.14) — HL
Full step-by-step notes with Prof. Kitso for AA 1.14: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 1 · Proof by induction, contradiction & counterexample; systems of linear equations (AA 1.15, 1.16) — HL
Full step-by-step notes with Prof. Kitso for AA 1.15, 1.16: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Topic Revision 1 · Number & Algebra — HL extension
HL only: the additional higher level subtopics of Topic 1, with 80 worked questions including Paper 3-style problems.

Learn 2 · Lines, functions, composites, inverses & transformations (AA 2.1–2.5, 2.11) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 2.1–2.5, 2.11: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 2 · Quadratic functions, equations & inequalities (AA 2.6, 2.7) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 2.6, 2.7: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 2 · Rational, exponential & logarithmic functions; solving equations (AA 2.8–2.10) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 2.8–2.10: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Topic Revision 2 · Functions — SL & HL
Short notes, the by-hand method for Paper 1, TI-Nspire steps for Paper 2 and 134 worked questions for every SL subtopic of Topic 2 — plus a Paper 1 no-calculator drill. HL students study these too.

HL · Learn 2 · Polynomials, rational functions, symmetry, inequalities & modulus (AA 2.12–2.16) — HL
Full step-by-step notes with Prof. Kitso for AA 2.12–2.16: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Topic Revision 2 · Functions — HL extension
HL only: the additional higher level subtopics of Topic 2, with 56 worked questions including Paper 3-style problems.

Learn 3 · 3D geometry & trigonometry (AA 3.1–3.3) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 3.1–3.3: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 3 · Radians, the unit circle & trigonometric equations (AA 3.4–3.8) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 3.4–3.8: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 3 · Trigonometric identities, circular functions & equations (AA 3.6–3.8) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 3.6–3.8: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Topic Revision 3 · Geometry & Trigonometry — SL & HL
Short notes, the by-hand method for Paper 1, TI-Nspire steps for Paper 2 and 105 worked questions for every SL subtopic of Topic 3 — plus a Paper 1 no-calculator drill. HL students study these too.

HL · Learn 3 · Reciprocal & inverse trig functions, compound angle identities (AA 3.9–3.11) — HL
Full step-by-step notes with Prof. Kitso for AA 3.9–3.11: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 3 · Vectors, lines, scalar & vector products (AA 3.12–3.16) — HL
Full step-by-step notes with Prof. Kitso for AA 3.12–3.16: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 3 · Planes: equations, intersections, angles & distances (AA 3.17, 3.18) — HL
Full step-by-step notes with Prof. Kitso for AA 3.17, 3.18: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Topic Revision 3 · Geometry & Trigonometry — HL extension
HL only: the additional higher level subtopics of Topic 3, with 117 worked questions including Paper 3-style problems.

Learn 4 · Core Statistics (AA 4.1–4.4) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 4.1–4.4: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 4 · Probability & probability distributions (AA 4.5–4.9, 4.11) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 4.5–4.9, 4.11: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 4 · Regression x on y, standardisation & the normal distribution (AA 4.10, 4.12) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 4.10, 4.12: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Topic Revision 4 · Statistics & Probability — SL & HL
Short notes, the by-hand method for Paper 1, TI-Nspire steps for Paper 2 and 162 worked questions for every SL subtopic of Topic 4 — plus a Paper 1 no-calculator drill. HL students study these too.

HL · Learn 4 · Bayes’ theorem & continuous random variables (AA 4.13, 4.14) — HL
Full step-by-step notes with Prof. Kitso for AA 4.13, 4.14: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Topic Revision 4 · Statistics & Probability — HL extension
HL only: the additional higher level subtopics of Topic 4, with 22 worked questions including Paper 3-style problems.

Learn 5 · Differentiation, stationary points & optimisation (AA 5.1–5.4, 5.8) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 5.1–5.4, 5.8: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 5 · Derivatives of sin, cos, eˣ, ln x; chain, product & quotient rules; the second derivative (AA 5.6–5.8) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 5.6–5.8: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Learn 5 · Integration, areas & kinematics (AA 5.5, 5.9–5.11) — SL & HL
Full step-by-step notes with Prof. Kitso for AA 5.5, 5.9–5.11: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. SL and HL students. Optional extra help.

Topic Revision 5 · Calculus — SL & HL
Short notes, the by-hand method for Paper 1, TI-Nspire steps for Paper 2 and 138 worked questions for every SL subtopic of Topic 5 — plus a Paper 1 no-calculator drill. HL students study these too.

HL · Learn 5 · First principles, limits, implicit differentiation & further derivatives (AA 5.12–5.15) — HL
Full step-by-step notes with Prof. Kitso for AA 5.12–5.15: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 5 · Integration by substitution & parts, areas & volumes of revolution (AA 5.15–5.17) — HL
Full step-by-step notes with Prof. Kitso for AA 5.15–5.17: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 5 · Differential equations & Maclaurin series (AA 5.18, 5.19) — HL
Full step-by-step notes with Prof. Kitso for AA 5.18, 5.19: every idea explained simply, worked examples (by hand for Paper 1, with TI-Nspire CX II screens for Paper 2), exam-style challenge questions and try-it-yourself activities. HL only.

HL · Topic Revision 5 · Calculus — HL extension
HL only: the additional higher level subtopics of Topic 5, with 89 worked questions including Paper 3-style problems.

Mock Set 1 — Free Preview
Full mock: Paper 1 (non-calculator, 80 marks, 90 min) and Paper 2 (calculator, 80 marks, 90 min), each with a full IB-style marking key. Paper 1 and its key are FREE to preview. Sit the paper under timed conditions before opening the key.

Mock Set 2
Second full mock (Paper 1 + Paper 2 with marking keys) covering a fresh rotation of the AA SL syllabus. Re-drill anything you dropped marks on in Set 1 before you sit it.

Mock Set 3
Third full mock (Paper 1 + Paper 2 with marking keys). By the end of this set you should have met every AA SL topic at least once — use your score log to find remaining weak areas.

Mock Set 4
Fourth full mock (Paper 1 + Paper 2 with marking keys). Sit both papers back-to-back with only a short break — train the stamina the real exam session demands.

Mock Set 5
Final full mock (Paper 1 + Paper 2 with marking keys). Treat this as your dress rehearsal: full exam conditions, formula booklet only, and strict timing.

The Final 48 Hours
What to do (and not do) in the last two days before each exam: a 48-hour checklist, formula booklet final pass, GDC battery-and-settings check, and the exam-day routine.

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IB DP Mathematics: Analysis and Approaches (AA) — SL and HL

About Course

How it works

What is inside

Try it first — free

Course Content

Start Here — How This Course Works Read this first: how to use the five mock sets, exam rules for AA SL (Paper 1 non-calculator, Paper 2 calculator), how to self-mark with the IB-style keys, and your 10-day revision plan.

Diagnostic Quiz — Find Your Weak Topics in 10 Questions

HL · Diagnostic Quiz — Find Your Weak Topics in 10 Questions

GDC Bootcamp — TI-Nspire CX II For Paper 2 only (Paper 1 is non-calculator). Press-to-Test exam mode, and the core TI-Nspire CX II skills used throughout the marking keys: nSolve, graphing and intersections, numerical derivatives and integrals, statistics and distribution menus.

Formulas & Calculator — Whole-Course Summary Your whole course on one page: every SL and HL formula, topic by topic, with the TI-Nspire CX II keys to press and what the screen shows. Paper 1 is non-calculator, so learn them by hand too.

HL · Formulas & Calculator — Whole-Course Summary (SL + HL)

Exponents & logs 2 · Calculating with standard form

Exponents & logs 3 · Powers and the three basic laws

Exponents & logs 4 · Negative powers, brackets, fractions & standard form

Exponents & logs 5 · Solving equations with the same base

Exponents & logs 6 · Growth, decay and the number e

Exponents & logs 7 · Introducing logarithms: log and ln

Exponents & logs 8 · Solving exponential equations

Exponents & logs 9 · Rational exponents: roots as powers

Exponents & logs 10 · Laws of logarithms

Exponents & logs 11 · Exponential equations and change of base

Exponents & logs 12 · Equations with logarithms

Sequences 2 · Arithmetic series: adding up the terms

Sequences 3 · Arithmetic sequences in real life

Sequences 4 · Geometric sequences: the nth term

Sequences 5 · Geometric series: adding up the terms

Sequences 6 · Growth, decay and compound change

Sequences 7 · Infinite geometric series

Sequences 8 · Percentages & compound interest

Sequences 9 · Compounding more often: half-yearly, quarterly, monthly

Sequences 10 · Finding the time, the rate or the starting amount

Sequences 11 · Depreciation, inflation & real value

Proof & binomial 2 · Algebraic proof with integers

Proof & binomial 3 · Factorials, nCr & Pascal’s triangle

Proof & binomial 4 · Expanding (a + b)ⁿ

Proof & binomial 5 · The general term & coefficients

Proof & binomial 6 · Products with binomial expansions

Proof & binomial · Unit checklist & formula card

Topic Revision 1 · Number & Algebra — SL & HL Short notes, the by-hand method for Paper 1, TI-Nspire steps for Paper 2 and 118 worked questions for every SL subtopic of Topic 1 — plus a Paper 1 no-calculator drill. HL students study these too.

AA 1.3 — Geometric sequences and series

AA 1.4 — Financial applications of geometric sequences

AA 1.5 — Laws of exponents with integer exponents; introduction to logarithms

AA 1.6 — Simple deductive proof and identities

AA 1.7 — Rational exponents and the laws of logarithms; exponential equations

AA 1.8 — Sum of infinite convergent geometric sequences

AA 1.9 — The binomial theorem

Paper 1 drill · Number & Algebra without a calculator

HL · Counting & partial fractions 2 · Arrangements with restrictions

HL · Counting & partial fractions 3 · Extending the binomial theorem to any power

HL · Counting & partial fractions 4 · Using the series: approximations, coefficients & unknowns

HL · Counting & partial fractions 5 · Partial fractions: distinct linear factors

HL · Counting & partial fractions 6 · Further cases, series & integration with partial fractions

HL · Counting & partial fractions · Unit checklist & formula card

HL · Complex numbers 2 · Complex roots of equations

HL · Complex numbers 3 · The Argand diagram: modulus and argument

HL · Complex numbers 4 · Polar form and Euler form

HL · Complex numbers 5 · Products, quotients and powers

HL · Complex numbers 6 · Complex numbers and geometry

HL · De Moivre 2 · De Moivre’s theorem and powers

HL · De Moivre 3 · Roots of complex numbers and roots of unity

HL · De Moivre 4 · Multiple-angle identities

HL · De Moivre 5 · Sums and products of roots

HL · De Moivre · Unit checklist & formula card

HL · Proof & systems 2 · Induction: divisibility, inequalities, derivatives & sequences

HL · Proof & systems 3 · Proof by contradiction & counterexample

HL · Proof & systems 4 · Systems of linear equations: row reduction

HL · Proof & systems 5 · No solution, infinitely many solutions & geometry

HL · Proof & systems · Unit checklist & formula card

HL · Topic Revision 1 · Number & Algebra — HL extension HL only: the additional higher level subtopics of Topic 1, with 80 worked questions including Paper 3-style problems.

HL · AA 1.11 — Partial fractions

HL · AA 1.12 — Complex numbers in Cartesian form

HL · AA 1.13 — Modulus–argument (polar) and Euler form

HL · AA 1.14 — Complex conjugate roots, powers and roots of complex numbers (De Moivre)

HL · AA 1.15 — Proof by induction, contradiction and counterexample

HL · AA 1.16 — Systems of linear equations (up to 3 unknowns)

Functions 2 · Forms of the equation of a line

Functions 3 · Parallel lines, perpendicular lines & intersections

Functions 4 · Functions: notation, domain & range

Functions 5 · Inverse functions