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

Number and algebra

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

  1. Use scientific notation accurately Free Build · 3 variants · visual · AI feedback
  2. Apply financial mathematics Build · 4 variants · visual · AI feedback
  3. Apply logarithm laws Build · 16 variants · visual · AI feedback
  4. Use exact algebraic reasoning Core · 16 variants · visual · AI feedback

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

Start pathway
Maths route

Functions

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

  1. Identify key features of quadratic functions Free Core · 20 variants · visual · AI feedback
  2. Compose functions and apply domain restrictions Build · 16 variants · visual · AI feedback
  3. Read the gradient of a linear graph Build · 15 variants · visual · AI feedback
  4. Solve simultaneous equations from a graph 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. Analyse coordinates and angles in three dimensions Build · 3 variants · visual · AI feedback
  2. Use sine rule and cosine rule Build · 18 variants · visual · AI feedback
  3. Analyse ambiguous sine-rule cases Exam stretch · 3 variants · visual · AI feedback
  4. Solve trigonometric equations Build · 19 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 normal distributions Build · 15 variants · visual · AI feedback
  3. Read a frequency from a histogram Build · 15 variants · visual · AI feedback
  4. Use binomial and normal models Exam stretch · 5 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. Solve optimization problems Build · 20 variants · visual · AI feedback
  3. Differentiate composite functions Exam stretch · 5 variants · visual · AI feedback
  4. Integrate functions and regions Exam stretch · 4 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.

Number and algebra Sequences, series, exponents, logarithms, algebraic structure, and exact symbolic reasoning for IB Mathematics: Analysis and Approaches SL. Functions Core function skills for IB Mathematics: Analysis and Approaches SL, including features of quadratics, transformations, inverse functions, and modelling language. 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.