Algebra & Exact Work
Build fluency with indices, logarithms, sequences, binomial expansion, and multi-step equation solving.
IB Diploma Mathematics
IB DP Mathematics: Analysis & Approaches SL
A focused analytical route for students who want strong algebra, functions, trigonometry, and calculus without the full HL load.
AA SL
TrackAnalysis & Approaches
LevelStandard Level
FocusCleaner algebraic working
Papers & IA
Paper 1
90 min · 80 marks · 40%
No calculator
Paper 2
90 min · 80 marks · 40%
GDC allowed
IA
20 marks · 20%
Mathematical exploration
Number & Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Route Navigator
Choose the right IB Math pathway
One clean page template for all IB DP mathematics routes, so students can compare without feeling lost.
Student Fit
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.
Syllabus Map
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.
Functions & Graphs
Master domain/range, transformations, inverse and composite functions, quadratics, exponentials, and logarithmic graphs.
Trigonometry
Move from unit-circle understanding to identities, equations, sine/cosine rule, area formulae, and circular functions.
Statistics & Probability
Strengthen probability rules, distributions, regression, correlation, and interpretation under IB command terms.
Calculus
Cover differentiation, integration, tangents/normals, optimization, kinematics-style rates, and area under curves.
Full Topic Breakdown
AA SL topic-wise syllabus
A practical, student-friendly map of what is taught inside each IB 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
Assessment
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.
How Classes Run
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.
Outcome Focus
What students build in AA SL
Cleaner algebraic working
Better Paper 1 confidence
Stronger calculus base
IA-ready writing
Next Step
Start with a route check, not guesswork.
Bring the student's current syllabus, recent test, or university target. The demo class can confirm whether AA SL is the right path and where to begin.