HL course

Mathematics: Applications and Interpretation HL

HL modelling, statistics, networks, calculus, technology use, and written interpretation for AI HL.

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. Calculate amortized loan payments Free Exam stretch · 15 variants · visual · AI feedback
  2. Calculate real investment values after inflation Exam stretch · 15 variants · visual · AI feedback
  3. Determine principal complex arguments Exam stretch · 15 variants · visual · AI feedback
  4. Find phase angles of combined sinusoidal models Exam stretch · 15 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. Evaluate logistic models Exam stretch · 15 variants · visual · AI feedback
  2. Interpret sinusoidal model parameters Exam stretch · 15 variants · visual · AI feedback
  3. Recover exponential models from semi-log lines Exam stretch · 15 variants · visual · AI feedback
  4. Estimate logistic half-capacity time Exam stretch · 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. Count walks with adjacency matrices Exam stretch · 15 variants · visual · AI feedback
  2. Find Voronoi boundary equations Exam stretch · 20 variants · visual · AI feedback
  3. Resolve vectors into parallel and perpendicular components Exam stretch · 15 variants · visual · AI feedback
  4. Compose two matrix transformations Exam stretch · 15 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 states from transition matrices Exam stretch · 15 variants · visual · AI feedback
  2. Classify predictions from regression models Exam stretch · 20 variants · visual · AI feedback
  3. Calculate binomial Type I errors Exam stretch · 20 variants · visual · AI feedback
  4. Three-state Markov chains and long-term behaviour Exam stretch · 4 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. Optimize quadratic profit models Exam stretch · 15 variants · visual · AI feedback
  2. Differentiate quotients in context Exam stretch · 20 variants · visual · AI feedback
  3. Differentiate exponential models Exam stretch · 20 variants · visual · AI feedback
  4. Apply the trapezoidal rule Exam stretch · 15 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 Official Mathematics: applications and interpretation HL strand for the current first-assessment-2021 syllabus. Functions Official Mathematics: applications and interpretation HL strand for the current first-assessment-2021 syllabus. Geometry and trigonometry Official Mathematics: applications and interpretation HL strand for the current first-assessment-2021 syllabus. Statistics and probability Official Mathematics: applications and interpretation HL strand for the current first-assessment-2021 syllabus. Calculus Official Mathematics: applications and interpretation HL strand for the current first-assessment-2021 syllabus.