SL course

Mathematics: Analysis and Approaches SL

Functions, algebra, trigonometry, calculus, probability, and proof-style reasoning for Mathematics AA SL.

Guided practice pathways

Assessment routes built from the live skills in this course. Each pathway moves from the first decision students need to make toward the kind of source use, calculation, writing, or judgement that costs marks in real assessment.

Maths route

Functions

Build from recognition to method choice, representation, calculation, and interpretation.

  1. Identify key features of quadratic functions Core · 20 variants · visual · AI feedback
  2. Find inverse linear functions Build · 15 variants · visual · AI feedback
  3. Find domain and range Build · 15 variants · visual · AI feedback
  4. Model with logarithmic functions Build · 15 variants · visual · AI feedback

A complete route checks both the result and the reasoning used to get there.

Start pathway
Maths route

Geometry and trigonometry

Build from recognition to method choice, representation, calculation, and interpretation.

  1. Use radians, arc length, and sector area Core · 15 variants · visual · AI feedback
  2. Use sine rule and cosine rule Build · 20 variants · visual · AI feedback
  3. Prove and use trigonometric identities Build · 15 variants · visual · AI feedback
  4. Graph trigonometric functions Build · 20 variants · visual · AI feedback

A complete route checks both the result and the reasoning used to get there.

Start pathway
Maths route

Statistics and probability

Build from recognition to method choice, representation, calculation, and interpretation.

  1. Calculate descriptive statistics Core · 15 variants · visual · AI feedback
  2. Use correlation and regression Build · 15 variants · visual · AI feedback
  3. Use conditional probability Build · 15 variants · visual · AI feedback
  4. Use normal distributions Build · 15 variants · visual · AI feedback

A complete route checks both the result and the reasoning used to get there.

Start pathway
Maths route

Calculus

Build from recognition to method choice, representation, calculation, and interpretation.

  1. Understand gradients and limits Build · 15 variants · visual · AI feedback
  2. Find tangent and normal equations Build · 20 variants · visual · AI feedback
  3. Use calculus in kinematics Build · 15 variants · visual · AI feedback
  4. Find area under curves Build · 20 variants · visual · AI feedback

A complete route checks both the result and the reasoning used to get there.

Start pathway

Topics

Choose a topic to see the skills you can practise. Start with the area your class is studying now, or use the list to find weaker topics before a test or exam.

Functions Core function skills for IB Mathematics: Analysis and Approaches SL, including features of quadratics, transformations, inverse functions, and modelling language. Number and algebra Sequences, series, exponents, logarithms, algebraic structure, and exact symbolic reasoning for IB Mathematics: Analysis and Approaches SL. Geometry and trigonometry Radians, trigonometric functions, triangle methods, identities, equations, graph transformations, and geometric reasoning. Statistics and probability Descriptive statistics, probability, random variables, binomial and normal models, correlation, regression, and technology interpretation. Calculus Limits, derivatives, tangents, optimization, kinematics, integration, area, and mathematical modelling with rates of change.