Course Syllabus

Core Syllabus Topics

AA SL covers five compulsory topics. Click any topic to explore its syllabus content.

Topic 1

Number & Algebra

Scientific notation, arithmetic and geometric sequences, financial applications, logarithms, and systems of linear equations.

  • Exponents & Logarithms
  • Sequences & Series
  • Binomial Theorem
Open Number & Algebra guide
Topic 2

Functions

Linear, quadratic, rational, exponential, and logarithmic functions, composite and inverse functions, and graphical transformations.

  • Domain & Range
  • Transformations
  • Inverse Functions
Open Functions guide
Topic 3

Geometry & Trigonometry

3D geometry, arc length and sector area, the unit circle, trigonometric functions, identities, and solving trigonometric equations.

  • Unit Circle
  • Trig Identities
  • Sine & Cosine Rules
Open Geometry & Trigonometry guide
Topic 4

Statistics & Probability

Descriptive statistics, linear regression, probability rules, discrete random variables, binomial distribution, and normal distribution.

  • Bivariate Analysis
  • Probability Rules
  • Normal Distribution
Open Statistics & Probability guide
Topic 5

Calculus

Introduction to limits, differential calculus (tangents, normals, optimization), integral calculus, and kinematics.

  • Differentiation Rules
  • Optimization
  • Definite Integrals
Open Calculus guide
IB DP Framework

How the DP Course Works

Key structural elements of the AA SL course beyond the five syllabus topics.

Key Concepts

The course is built around concepts like Patterns, Generalization, Validity, and Modelling.

Approaches to Learning (ATL)

Develop thinking skills, mathematical communication, and independent problem-solving.

Mathematical Exploration (IA)

A 12–20 page individual exploration worth 20% of your final grade on a maths topic of your choice.

FAQs

Frequently Asked Questions

What is the difference between AA SL and AI SL?
AA emphasizes algebraic reasoning, proofs and analysis; AI emphasizes mathematical modelling, statistics and technology. Read the detailed AA vs AI comparison.
Is a graphic display calculator (GDC) allowed in all DP AA SL exam papers?
No. Paper 1 (90 min) is non-calculator. Paper 2 (90 min) requires a GDC.
How much calculus is covered in AA SL compared to AA HL?
SL covers differentiation rules, optimization, tangents/normals, and definite integrals. HL adds integration techniques, differential equations, Maclaurin series, and L'Hôpital's rule.