IB Mathematics: Analysis and Approaches SL
IB Math AA SL, topic by topic
Analysis and Approaches SL is the IB's algebra-first mathematics course: exact working, proof, and calculus that goes beyond polynomials. This page maps the course — how it is assessed and what each topic contains — and links to a guide for every topic showing how its marks are actually awarded.
The course at a glance
The structure of the course as the IB publishes it.
Written papers
Paper 1 and Paper 2
Each 90 minutes, 80 marks and 40% of the grade, with a short-response and an extended-response section. Paper 1 is taken without a calculator; Paper 2 allows technology.
Internal assessment
Mathematical exploration
A piece of independent mathematical writing, worth 20% of the grade.
Syllabus
5 topics · 51 sections
From number and algebra to calculus, each section numbered SL 1.1 to SL 5.11.
Teaching time
150 hours
As recommended by the IB: 120 across the five topics, the rest for the toolkit and the exploration.
The five topics
Each topic has its own guide: the sections it covers, how they are examined on each paper, a marked example and the mistakes that cost marks.
How AA SL differs from AI SL
Both are standard-level mathematics courses, built for different students. These are the differences that change what you practise.
AA SL is algebra-first: exact answers, symbolic working and proof are central. AI SL puts technology and modelling at the centre.
AA SL has a paper with no calculator. In AI SL, technology is available on both papers.
AA SL moves to radians from SL 3.4 and builds the trigonometry up to identities. AI SL stays with degrees.
AA SL calculus goes beyond polynomials — trigonometric, exponential and logarithmic derivatives, the chain, product and quotient rules, integration by inspection and substitution. AI SL calculus stays with polynomials and the trapezoidal rule.
AA SL statistics adds formal conditional probability and the standardisation of normal variables. AI SL covers hypothesis tests — χ² and t-tests — and Spearman's rank, which are not part of AA SL.
How AscentIQ covers AA SL
Every exercise is generated fresh, marked mark by mark against the IB scheme, with a reason for each M1, A1 and R1. For AA SL that comes with some course-specific behaviour.
125 exam archetypes across all five topics, each generating a new exercise on every attempt — never a fixed bank.
Paper-style practice. Each exercise is written for Paper 1 (no calculator, exact answers) or for Paper 2 (technology), so the working you practise matches the paper you will sit.
Exact means exact. Where a question asks for an exact value, a decimal in its place is not accepted as the answer.
Proof you can write on a whiteboard. Proof questions are broken into small steps, each marked as a method or answer mark, with a closing reasoning mark for the conclusion.
Long questions in both styles: twelve families, six in the style of Paper 1 and six of Paper 2, chaining several skills the way extended-response questions do.
Radians stated. Calculus questions that involve sin or cos say when the angle is in radians, so the calculator mode is part of the habit, not a trap.
Questions
Questions about IB Math AA SL
On Paper 2 only. Paper 1 is taken without a calculator, and Paper 2 allows a graphic display calculator. Both papers are 90 minutes and worth 80 marks.
Two written papers, each worth 40% of the grade, and an internal assessment — a mathematical exploration — worth the remaining 20%. Each paper has a short-response section and an extended-response section.
AA SL is algebra-first, with exact answers, proof, radians and deeper calculus, and has a paper without a calculator. AI SL is technology-first, built around modelling and statistics, with a calculator on both papers. The choice is usually made by what a student wants to study next.
It generates a fresh exam-style exercise on every attempt, reads your handwritten working and awards each Method, Answer and Reasoning mark with a written reason — in the style of Paper 1 or Paper 2, as the question requires.
Try AA SL practice, marked like the real thing
Seven days of full access, no card required. Every exercise is generated fresh and every mark comes with a reason.
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