Number & Algebra in Context
Financial mathematics, sequences, proportional reasoning, logarithms, and algebra used inside applied problems.
IB Diploma Mathematics
IB DP Mathematics: Applications & Interpretation SL
A practical route for students who learn best through real-world contexts, data, modelling, and calculator-supported interpretation.
AI SL
TrackApplications & Interpretation
LevelStandard Level
FocusStronger statistics
Papers & IA
Paper 1
90 min · 80 marks · 40%
GDC required
Paper 2
90 min · 80 marks · 40%
GDC required
IA
20 marks · 20%
Applied 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 AI SL?
Applications & Interpretation SL works best when the student's university goals, mathematical confidence, and preferred problem style match the course route.
Students who need useful mathematics for business, psychology, social sciences, design, environmental studies, humanities, or data-informed decision making.
Learners who understand better through real-life contexts, graphs, tables, modelling, statistics, and calculator-supported work.
Students who want a manageable SL route while still building confidence with interpretation, communication, and IA data analysis.
Syllabus Map
AI 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 & Models
Linear, quadratic, exponential, sinusoidal, and regression models with interpretation and limitations.
Geometry & Measurement
Practical trigonometry, geometry, volume, area, and real-world measurement decisions.
Statistics & Probability
Data sets, reliability, distributions, correlation, regression, probability, and written interpretation.
Calculus for Change
Rates of change, optimization ideas, and using calculus as a tool to interpret models.
Full Topic Breakdown
AI SL topic-wise syllabus
A practical, student-friendly map of what is taught inside each IB topic family.
01
Number & Algebra
Use numbers and algebra as tools for real situations, not as isolated symbolic drills.
AI SL Syllabus
Core topics taught for this route
Scientific notation, estimation, percentage change, error, approximation, and units
Arithmetic and geometric sequences, growth and decay, and financial mathematics
Currency, interest, annuities, loans, depreciation, and practical calculator workflows
Logarithms and exponentials as modelling tools rather than pure manipulation only
Algebraic rearranging needed for formulas, models, and applied problem solving
02
Functions
Choose, use, and explain models that describe real data and behaviour.
AI SL Syllabus
Core topics taught for this route
Linear, quadratic, exponential, logarithmic, sinusoidal, and logistic-style models where relevant
Domain, range, intercepts, gradients, turning points, and graph features in context
Regression models, parameter meaning, residual thinking, and model limitations
Solving equations graphically and using technology to compare models
Interpreting results in words with correct units and sensible conclusions
03
Geometry & Trigonometry
Apply geometry and trigonometry to measurement, design, navigation, and practical diagrams.
AI SL Syllabus
Core topics taught for this route
Perimeter, area, volume, surface area, similarity, scale, and compound shapes
Right-triangle trigonometry, sine rule, cosine rule, bearings, and real-life triangle problems
Voronoi diagrams or practical spatial decision-making where included by school sequence
3D measurement, angles, distances, and modelling physical situations
Technology-supported diagrams and calculator checks for reasonableness
04
Statistics & Probability
Make statistics the strongest scoring area through clear interpretation and reliable calculator use.
AI SL Syllabus
Core topics taught for this route
Data collection, sampling, bias, presentation, outliers, central tendency, and spread
Correlation, regression, residuals, interpolation, extrapolation, and reliability of predictions
Probability rules, Venn diagrams, tree diagrams, conditional probability, and independence
Discrete random variables, expected value, normal distribution, and calculator probability
Hypothesis-style interpretation where required by school or exam practice
05
Calculus
Use calculus to understand change in models without turning the course into pure mathematics.
AI SL Syllabus
Core topics taught for this route
Gradient as rate of change and derivative meaning from graphs and contexts
Basic differentiation rules and interpreting positive, negative, and zero gradients
Optimization in applied contexts such as cost, area, revenue, or efficiency
Basic integration as accumulation and area under a curve
Explaining calculus results clearly in the language of the original problem
Assessment
Exam and IA preparation
1
Paper 1: short-response applied questions using a graphical display calculator.
2
Paper 2: extended-response modelling and interpretation questions.
3
Internal Assessment: an exploration where real data and interpretation can be especially powerful.
How Classes Run
Teaching plan
- Build GDC fluency early so calculator use feels controlled, not confusing.
- GDC tutorial blocks for finance, regression, normal distribution, graphing, and calculator notation.
- Practise reading long questions, identifying required variables, and writing interpretations clearly.
- Use data-led IA mentoring: collection, cleaning, model choice, limitations, and conclusion quality.
- Mixed revision sets that blend formula booklet use, technology, and explanation.
Outcome Focus
What students build in AI SL
Stronger statistics
Better GDC control
Clearer interpretation
Practical IA direction
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 AI SL is the right path and where to begin.