IB Maths AA Tutor Online — Analysis & Approaches SL & HL

Course Overview

IB Mathematics: Analysis & Approaches (AA) is offered at both Standard Level and Higher Level, with HL students covering significantly extended depth and additional topics across the same syllabus areas. At Tangible Learning, sessions are structured around your school's teaching sequence rather than a fixed syllabus order. This means we work on what your class is currently studying, ensuring your school assessments, mock exams, and the final IB examination are all supported in parallel.

The Mathematical Exploration (Internal Assessment) is supported across all engagement durations — topic selection, research question development, mathematical depth, personal engagement, use of technology, and write-up structure. Students taking IB Maths AA HL often pair it with IB Physics HL, while those weighing their options can compare AA with IB Maths AI.

What Makes Our Tutoring Special

What You'll Learn

• Master all core AA topics — and, for HL students, the extended depth and additional HL material in each area
• Develop algebraic fluency and rigorous problem-solving with the depth appropriate to your level
• Apply proof techniques, including proof by induction at HL
• Work confidently with functions, trigonometry, vectors, and calculus
• Understand probability distributions and statistical methods
• Design and write a strong Mathematical Exploration (IA)
• Master exam technique for Paper 1, Paper 2, and Paper 3 (HL)
• Build a strong foundation for university study in mathematics and STEM

Core Topics (SL & HL)

• Number and Algebra Extra HL depth

  Sequences, series, exponents and logarithms, with complex numbers and proof by induction added at HL.

  • Arithmetic and geometric sequences and series
  • Exponents, logarithms, and the binomial theorem
  • HL: complex numbers and De Moivre's theorem
  • HL: proof by induction and further proof techniques
  • HL: partial fractions and advanced algebraic manipulation

• Functions

  Function analysis, transformations, and equation solving, with extended depth at HL.

  • Linear, quadratic, and rational functions
  • Domain, range, composition, and inverse functions
  • Transformations and graphical interpretation
  • Exponential and logarithmic models
  • HL: further rational functions and the factor/remainder theorems

• Geometry and Trigonometry Extra HL depth

  Trigonometric ratios, identities, and equations, with vectors added at HL.

  • The unit circle, radian measure, and trigonometric ratios
  • Trigonometric identities and equations
  • The sine and cosine rules and applications
  • HL: reciprocal and inverse trigonometric functions
  • HL: vectors, lines, and planes in 2D and 3D

• Statistics and Probability

  Data analysis, probability, and distributions, with further distributions at HL.

  • Descriptive statistics and data analysis
  • Probability, conditional probability, and tree diagrams
  • The binomial and normal distributions
  • Correlation and linear regression
  • HL: further probability and discrete random variables

• Calculus Extra HL depth

  Differentiation and integration, with further calculus and differential equations at HL.

  • Limits, differentiation, and rules of differentiation
  • Applications of derivatives: optimisation and kinematics
  • Integration and the area under a curve
  • HL: further differentiation and integration techniques
  • HL: differential equations and Maclaurin series

• Mathematical Exploration (Internal Assessment)

  Support for the IA across all engagements — worth 20% of the final grade.

  • Topic selection and research question development
  • Mathematical content depth and rigour
  • Personal engagement and use of technology
  • Reflection, evaluation, and write-up structure

Who This Is For

This programme is for IB Diploma students taking Mathematics: Analysis & Approaches at either Standard Level or Higher Level who want more than exam drilling. Whether you're building algebraic foundations at SL, working through the extended depth and additional topics of HL — complex numbers, proof, further calculus — aiming to maximise your score across the papers, or need guidance on your Mathematical Exploration, sessions are built around your specific level and your school's teaching sequence.

Students often combine maths with IB Physics — IB Math AA HL is the natural companion to IB Physics HL; pair your sessions with our IB Physics tutoring. Comparing AA vs AI? See our IB Maths AI page to decide which course fits your university plans.

Ready to Master IB Maths AA?

Whether you're studying at SL or HL, our 1:1 tutoring is tailored to your level, your school's sequence, and your target score. Sessions support your school assessments, mock exams, and the final IB examination in parallel, with full Mathematical Exploration guidance throughout.