IB Diploma Mathematics

IB DP Mathematics: Analysis & Approaches SL

One-to-one online IB Maths AA SL tutoring with Anand Sir: strengthen algebra and calculus, explain your working clearly, and build a revision plan around your school assessments.

AA SL
TrackAnalysis & Approaches
LevelStandard Level
FocusCleaner algebraic working
Papers & IA
Paper 1 90 min ยท 80 marks ยท 40% No calculator
Paper 2 90 min ยท 80 marks ยท 40% GDC allowed
IA 20 marks ยท 20% Mathematical exploration
Number & Algebra Functions Geometry & Trigonometry Statistics & Probability Calculus

How AA SL lessons target the marks you are losing

A recent marked test is more useful than a grade alone. Bring one question you could not start and one where your answer lost marks. I use those examples to separate a missing prerequisite from a problem with method, notation or timing.

Find the first uncertain step. Explain your approach before seeing a solution, so the lesson starts with the reasoning you need to practise.

Connect algebra to calculus. For a stationary-point question, practise solving fโ€ฒ(x) = 0, finding the corresponding y-value and justifying the nature of the point. Each step is checked separately.

Practise both paper styles. Work on exact, non-calculator reasoning and calculator-supported questions, including how to record the method and interpret the result.

Between lessons, use a short error log: topic, first incorrect step, corrected reasoning and a question to retry. The next lesson checks whether you can apply the idea independently.

Make your next maths step clearer

Choosing a route? Read IB Maths AA vs AI: choosing SL or HL for a comparison of mathematical approaches, a university-requirements checklist and the 2029 curriculum transition.

Choose the right IB Math pathway

Compare Analysis and Approaches with Applications and Interpretation at Standard and Higher Level, then match your lessons to your school course and university requirements.

Who should take AA SL?

Analysis & Approaches SL works best when the student's university goals, mathematical confidence, and preferred problem style match the course route.

Students who enjoy algebraic reasoning and want a traditional pre-university mathematics path.

IB students targeting economics, computer science, architecture, business analytics, psychology, biology, or selective STEM-adjacent routes where SL is accepted.

Learners who need strong exam technique for non-calculator and calculator papers.

AA SL syllabus, organized for scoring

The five IB topic families stay visible, while lessons adapt to the exact AA/AI and SL/HL demand.

01

Algebra & Exact Work

Build fluency with indices, logarithms, sequences, binomial expansion, and multi-step equation solving.

02

Functions & Graphs

Master domain/range, transformations, inverse and composite functions, quadratics, exponentials, and logarithmic graphs.

03

Trigonometry

Move from unit-circle understanding to identities, equations, sine/cosine rule, area formulae, and circular functions.

04

Statistics & Probability

Strengthen probability rules, distributions, regression, correlation, and interpretation under IB command terms.

05

Calculus

Cover differentiation, integration, tangents/normals, optimization, kinematics-style rates, and area under curves.

AA SL topic-wise syllabus

A practical, student-friendly map of what is taught inside each topic family.

01

Number & Algebra

Make algebra fast, accurate, and readable in exam working.

AA SL Syllabus

Core topics taught for this route

Scientific notation, arithmetic sequences, geometric sequences, and sigma notation Laws of indices and logarithms, including exponential and logarithmic equations Binomial expansion for positive integer powers Linear and quadratic equations, inequalities, simultaneous equations, and rearranging formulae Proof-style communication where SL questions require clear reasoning
02

Functions

Understand how functions behave before relying on calculator output.

AA SL Syllabus

Core topics taught for this route

Domain, range, function notation, composite functions, and inverse functions Graph transformations, intercepts, asymptotes, and key features Linear, quadratic, cubic, reciprocal, exponential, and logarithmic functions Solving equations graphically and algebraically Modelling with functions and interpreting parameters in context
03

Geometry & Trigonometry

Connect diagrams, equations, exact values, and circular-function graphs.

AA SL Syllabus

Core topics taught for this route

Distance, midpoint, gradients, equations of lines, and coordinate geometry Sine rule, cosine rule, area of a triangle, bearings, and 2D/3D trigonometry Radians, arc length, sector area, unit circle, and exact trigonometric values Sine, cosine, and tangent graphs with transformations Trigonometric equations and identities at AA SL level
04

Statistics & Probability

Turn raw data and probability language into clear mathematical conclusions.

AA SL Syllabus

Core topics taught for this route

Sampling, data presentation, measures of central tendency, and spread Correlation, regression line, interpolation, extrapolation, and reliability Probability rules, conditional probability, Venn diagrams, and tree diagrams Discrete random variables, expected value, variance, and standard deviation Normal distribution and calculator-supported interpretation
05

Calculus

Build a confident bridge from graphical meaning to exact differentiation and integration.

AA SL Syllabus

Core topics taught for this route

Limits idea through gradient, derivative notation, and differentiation from first principles conceptually Derivative rules for powers, sums, products by constants, exponentials, and logarithms Tangents, normals, increasing/decreasing intervals, stationary points, and optimization Kinematics-style rates of change where relevant Indefinite and definite integration, area under curves, and simple accumulation problems

Exam and IA preparation

1

Paper 1: non-calculator reasoning and exact mathematical communication.

2

Paper 2: calculator-supported questions with graphing and applied interpretation.

3

Internal Assessment: a mathematical exploration with clear personal engagement and communication.

Teaching plan

  • Route diagnostic to find algebra, functions, trig, and calculus gaps before school pressure builds.
  • Chapter-by-chapter concept building with exam-style questions from easy to grade-7 level.
  • GDC tutorial for Paper 2: graphing, tables, regressions, distribution checks, and answer verification.
  • IA topic selection, structure review, mathematical depth checks, and final presentation feedback.
  • Past-paper rehearsal with error logs, command-term discipline, and calculator/non-calculator separation.

What students build in AA SL

Cleaner algebraic working Better Paper 1 confidence Stronger calculus base IA-ready writing

Start with a route check, not guesswork.

Bring the student's current syllabus, recent test, or university target. The introductory session can confirm whether AA SL is the right path and where to begin.