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IB DP Mathematics: Applications and Interpretation (AI) — SL and HL

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About Course

One course for Mathematics: Applications and Interpretation (AI) — Standard Level and Higher Level together. Topic-by-topic revision of every SL and HL subtopic — 879 worked questions with TI-Nspire CX II screens — plus 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

  • Topic revision — all 78 subtopics. For every SL and HL subtopic, from 1.1 Standard form to 5.18 Second-order differential equations: short notes on what you must know, the exact TI-Nspire CX II key presses, the common ways marks are lost, and 10–12 exam-style questions with full step-by-step solutions — worked by hand where the method earns marks, and on drawn calculator screens where the GDC does the work. HL-only subtopics are clearly marked, so SL students can skip them.
  • SL track — five sets. Paper 1 and Paper 2, 80 marks and 90 minutes each, with the graphic display calculator allowed throughout. 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 — two extended, data-rich investigations, 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 — and so is the topic-revision course map and subtopic 1.4 (financial applications), so you can see exactly how the revision lessons work. Open them, 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.

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Course Content

Start Here — How This Course Works
Read this first: how to use the five mock sets, exam rules for AI SL (both papers use the GDC), how to self-mark with the IB-style keys, and your 10-day revision plan.

GDC Bootcamp — TI-Nspire CX II
The GDC is allowed in BOTH AI SL papers — fluency is marks. Press-to-Test exam mode, and the core TI-Nspire CX II skills used throughout the marking keys: nSolve, graphing and intersections, regression, financial solver (TVM), 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.

Learn 1 · Number: standard form, approximation & errors (AI 1.1, 1.6) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 1.1, 1.6: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 1 · Exponents & logarithms (AI 1.5) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 1.5: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 1 · Arithmetic & geometric sequences and series (AI 1.2, 1.3) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 1.2, 1.3: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 1 · Financial mathematics: interest, depreciation, loans & annuities (AI 1.4, 1.7) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 1.4, 1.7: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 1 · Solving equations with technology (AI 1.8) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 1.8: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Topic Revision 1 · Number & Algebra — SL & HL
Short notes, GDC steps and 88 worked questions for every SL subtopic of Topic 1. HL students study these too.

HL · Learn 1 · Laws of logarithms, rational exponents, infinite series & log scales (AI 1.9–1.11, 2.10) — HL
Full step-by-step notes with Prof. Kitso for AI 1.9–1.11, 2.10: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. HL only.

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

HL · Learn 1 · Matrices & eigenvalues (AI 1.14, 1.15) — HL
Full step-by-step notes with Prof. Kitso for AI 1.14, 1.15: every idea explained simply, worked examples with TI-Nspire CX II screens, 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 81 worked questions.

Learn 2 · Straight lines & functions (AI 2.1–2.4) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 2.1–2.4: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 2 · Mathematical models (AI 2.5, 2.6) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 2.5, 2.6: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Topic Revision 2 · Functions — SL & HL
Short notes, GDC steps and 70 worked questions for every SL subtopic of Topic 2. HL students study these too.

HL · Learn 2 · Composite & inverse functions, transformations, further models (AI 2.7–2.9) — HL
Full step-by-step notes with Prof. Kitso for AI 2.7–2.9: every idea explained simply, worked examples with TI-Nspire CX II screens, 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 47 worked questions.

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

Learn 3 · Arcs, sectors, perpendicular bisectors & Voronoi diagrams (AI 3.4–3.6) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 3.4–3.6: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Topic Revision 3 · Geometry & Trigonometry — SL & HL
Short notes, GDC steps and 64 worked questions for every SL subtopic of Topic 3. HL students study these too.

HL · Learn 3 · Radians, further trigonometry & matrix transformations (AI 3.7–3.9) — HL
Full step-by-step notes with Prof. Kitso for AI 3.7–3.9: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 3 · Vectors (AI 3.10–3.13) — HL
Full step-by-step notes with Prof. Kitso for AI 3.10–3.13: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 3 · Graphs & algorithms (AI 3.14–3.16) — HL
Full step-by-step notes with Prof. Kitso for AI 3.14–3.16: every idea explained simply, worked examples with TI-Nspire CX II screens, 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 111 worked questions.

Learn 4 · Core Statistics (AI 4.1–4.4) — full notes, SL & HL
Step-by-step teaching notes from the very beginning: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL 4.1–4.4 (HL students study these too).

Learn 4 · Probability (AI 4.5, 4.6) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 4.5, 4.6: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 4 · Probability distributions: discrete, binomial & normal (AI 4.7–4.9) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 4.7–4.9: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 4 · Spearman’s rank & hypothesis testing (AI 4.10, 4.11) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 4.10, 4.11: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Topic Revision 4 · Statistics & Probability — SL & HL
Short notes, GDC steps and 125 worked questions for every SL subtopic of Topic 4. HL students study these too.

HL · Learn 4 · Further probability: transformed variables, X̄, Poisson & Markov chains (AI 4.14, 4.15, 4.17, 4.19) — HL
Full step-by-step notes with Prof. Kitso for AI 4.14, 4.15, 4.17, 4.19: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 4 · Further statistics: design, regression, confidence intervals & tests (AI 4.12, 4.13, 4.16, 4.18) — HL
Full step-by-step notes with Prof. Kitso for AI 4.12, 4.13, 4.16, 4.18: every idea explained simply, worked examples with TI-Nspire CX II screens, 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 90 worked questions.

Learn 5 · Differentiation: rates of change, gradients, tangents & normals (AI 5.1–5.4) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 5.1–5.4: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 5 · Stationary points & optimisation (AI 5.6, 5.7) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 5.6, 5.7: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Learn 5 · Integration, area & the trapezoidal rule (AI 5.5, 5.8) — SL & HL
Full step-by-step notes with Prof. Kitso for AI 5.5, 5.8: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. SL and HL students.

Topic Revision 5 · Calculus — SL & HL
Short notes, GDC steps and 88 worked questions for every SL subtopic of Topic 5. HL students study these too.

HL · Learn 5 · Further differentiation (AI 5.9, 5.10) — HL
Full step-by-step notes with Prof. Kitso for AI 5.9, 5.10: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 5 · Further integration & kinematics (AI 5.11–5.13) — HL
Full step-by-step notes with Prof. Kitso for AI 5.11–5.13: every idea explained simply, worked examples with TI-Nspire CX II screens, exam-style challenge questions and try-it-yourself activities. HL only.

HL · Learn 5 · Differential equations (AI 5.14–5.18) — HL
Full step-by-step notes with Prof. Kitso for AI 5.14–5.18: every idea explained simply, worked examples with TI-Nspire CX II screens, 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 115 worked questions.

Mock Set 1 — Free Preview
Full mock: Paper 1 (short questions, 80 marks, 90 min) and Paper 2 (extended questions, 80 marks, 90 min), both with the GDC, 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 AI 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 AI 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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