Every IB student has a moment like this: you open a practice paper, read the first line, and realise the question isn’t asking for the math you memorised. It’s asking for the meaning.
That’s the quiet truth of IB Math Applications and Interpretation (AI) SL. It rewards students who can turn a messy real-life situation into a clean model, use technology without panic, and then explain what the result actually says. If you’re revising for exams, this guide will walk you through the key topics in IB Math AI SL, what they’re really testing, and how to prepare with less guesswork.
IB Math AI SL at a glance (what to know first)
Before you dive into topics, lock in the structure. IB Math AI SL is built around five core topics taught over roughly 150 teaching hours, assessed by two external papers and an Internal Assessment (the Exploration).
Here’s the overview students and parents usually need on one screen:
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Paper 1: 90 minutes, non-calculator (40%)
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Paper 2: 90 minutes, calculator allowed (40%)
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Internal Assessment (Exploration): investigation (20%)
If you want one central place to browse the full course coverage and resources, start with the IB Math AI resource hub.
Quick checklist: how to use this guide like a revision plan
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Read each topic section and circle your “least confident” sub-skill.
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Do 10 targeted questions for that sub-skill.
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Review mistakes using worked explanations and try 5 more.
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Finish with one timed mixed set each week.
RevisionDojo makes that loop simple because your IB practice, marking feedback, and progress tracking live together (Questionbank, Study Notes, Flashcards, AI Chat, Grading tools, Predicted Papers, Mock Exams, Coursework Library, Tutors).
Topic 1: Number and Algebra (the practical foundations)
In IB Math AI SL, Number and Algebra isn’t “easy stuff you did years ago.” It’s the toolkit you keep reaching for when a question turns real-world.
Key areas you’ll meet often:
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Number types and numerical reasoning (including standard form and estimation)
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Exponents and logarithms for real scenarios
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Arithmetic and geometric sequences (and sigma notation ideas)
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Financial mathematics: compound interest, depreciation, loans, amortisation
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Solving equations and systems, often supported by technology
This is where students lose marks by rushing the setup. A loan repayment question isn’t just “press the calculator buttons”--it’s proving you chose the correct model and interpreting the output sensibly.
For topic-by-topic revision and practice, use Math AI Number and Algebra and then pressure-test your understanding in the Number and Algebra Questionbank.
Topic 2: Functions (the language of modeling)
Functions are the heartbeat of IB Math AI SL because they are the simplest bridge between a story and a graph.
You’ll typically revise:
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Function notation, domain and range, and graph features
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Linear and quadratic models (including interpreting parameters)
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Exponential growth and decay (population, finance, half-life style contexts)
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Logarithmic models (often tied to data and scale)
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Transformations and modelling skills (choosing what fits)
The most “AI SL” skill here is not drawing a curve. It’s explaining what a parameter means in context, and whether the model is reasonable.
A strong place to start is RevisionDojo’s functions practice flow: the Functions Questionbank plus an example of modelling focus such as AI SL 2.5 Modelling functions.
Topic 3: Geometry and Trigonometry (space, measure, and application)
Geometry and Trigonometry in IB Math AI SL is practical: it lives in diagrams, navigation, design constraints, and interpreting what measurements actually represent.
Common content includes:
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Perimeter, area, surface area, volume
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2D and 3D geometry in context (including coordinates)
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Right-triangle trigonometry (sine, cosine, tangent)
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Angle measurement (degrees, and sometimes extension ideas like radians in broader contexts)
Students often know the formula but still drop marks by not stating units, not showing a clear diagram method, or ignoring the question’s “interpretation” demand.
When you’re revising across topics, keep the IB Math AI data booklet open in another tab. In IB exams, knowing what’s provided (and what isn’t) saves time and errors.
Topic 4: Statistics and Probability (where AI SL shines)
If there’s one topic that defines IB Math AI SL, it’s statistics and probability. This is where the course feels most like “math for the world you actually live in.”
Expect to work with:
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Data collection ideas and interpreting summaries
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Representations: box plots, histograms, scatter plots
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Measures: mean, median, mode, standard deviation, IQR
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Probability rules, Venn diagrams, trials and outcomes
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Distributions: binomial and normal, including z-scores
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Correlation methods and basic inference ideas
The tricky part is that the math can be short, but the explanation must be precise. In IB, you’re often graded on whether you can describe what the statistics imply (and what they don’t imply).
To revise efficiently, anchor one subtopic at a time. For example, start with AI SL 4.3 Mean, median, and mode and then scale up to mixed practice using the Statistics and Probability Questionbank.
Topic 5: Calculus (introductory, applied, and interpretation-heavy)
Calculus in IB Math AI SL is not about proof. It’s about rate of change and accumulation as tools for interpreting behaviour.
Core areas usually include:
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Limits as an idea (intro level)
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Derivative as rate of change and gradient
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Tangents, increasing/decreasing, and interpreting graphs
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Integration as accumulation (often with context)
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Optimisation in real situations
A good way to think about AI SL calculus is this: the derivative isn’t a technique; it’s a sentence about change.
If you’re unsure where to start, revise one clean entry point like AI SL 5.1 Introduction to Limits and then practise an applied skill like SL 5.7 Optimisation videos.
Internal Assessment (Exploration): where IB rewards curiosity
The IB Math AI SL Exploration (IA) is a 12--20 page investigation. It’s less about being “advanced” and more about being coherent: a clear question, sensible mathematics, appropriate technology, and honest interpretation.
Strong explorations often:
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Use real data you can explain and reference
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Compare two models and justify which fits better
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Interpret parameters and limitations clearly
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Show thoughtful use of technology (not just screenshots)
RevisionDojo’s Coursework Library and Tutors can be especially useful here, because students tend to need structure and feedback more than they need “harder math.”
Paper 1 vs Paper 2: what the IB is actually testing
Paper 1 (non-calculator) tests whether you can think cleanly, set up methods, and communicate reasoning without leaning on technology.
Paper 2 (calculator allowed) tests whether you can choose models, use a GDC efficiently, and interpret results without turning your solution into button-pressing chaos.
If Paper 2 feels slippery, this guide helps: Ace IB Math Applications and Interpretation Paper 2.
How AI SL differs from AA SL (and why that matters for revision)
In IB Math, AI SL and AA SL are different kinds of hard.
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AI SL leans into technology, modeling, statistics, and interpretation.
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AA SL leans into algebraic manipulation and more abstract technique.
If you’re still deciding or you’re hearing myths from classmates, read: Is IB Math Applications and Interpretation SL really the “dumb math”?.
Bringing it all together: a calmer way to revise IB Math AI SL
If you remember one thing about IB Math AI SL, let it be this: the course is designed to reward students who can connect math to meaning. The five key topics--Number and Algebra, Functions, Geometry and Trigonometry, Statistics and Probability, and Calculus--are less like separate chapters and more like tools you combine.
To revise strategically, build one steady loop: learn with RevisionDojo Study Notes, lock it in with Flashcards, test it in the Questionbank with AI Chat and Grading tools, then rehearse the pressure with Predicted Papers and Mock Exams. When you do that consistently, IB Math starts feeling less like a surprise and more like a language you can speak on demand.
If you want a full score-focused plan next, continue here: How to Score 7 in IB Math AI SL.