Number and algebra
HL-only depth: counting principles, complex numbers in Cartesian and polar forms, proof, and linear systems.
Review and practiseMATH AA HL · Learning hub
Mathematics AA: Higher Level
Extend SL technique to HL-only content: complex numbers, further calculus and deeper proof.
Understand before you practise
Key concepts
Use this map to choose a concept, then move directly into the matching practice.
Calculus
HL-only depth: product rule, quotient rule and integration by substitution.
Review and practiseFunctions
HL-only depth: polynomial division, the factor theorem and rational functions.
Review and practiseStatistics and probability
Extends SL probability with Bayes' theorem, the general variance formula for a discrete random variable, and continuous random variables.
Review and practiseGeometry and trigonometry
HL-only depth: the vector cross and scalar triple products, the geometry of lines and planes in three dimensions, and compound and double angle identities.
Review and practiseStructured progression
Revision Ladder
Start with foundations, then move through application and challenge. Stages use activity marks and complexity.
Stage 1
Start stage Foundation
Recall core ideas and establish reliable methods.
2 activities availableStage 2
Start stage Apply
Connect concepts and apply them in exam-style contexts.
72 activities availableStage 3
Start stage Challenge
Tackle the highest-mark, multi-step activities available.
12 activities availableProgress dashboard
Topic practice
Recommended next: Number and algebra
01
Number and algebra
Not startedHL-only depth: counting principles, complex numbers in Cartesian and polar forms, proof, and linear systems.
0%0/20 complete
02Calculus
Not startedHL-only depth: product rule, quotient rule and integration by substitution.
0%0/18 complete
03Functions
Not startedHL-only depth: polynomial division, the factor theorem and rational functions.
0%0/16 complete
04Statistics and probability
Not startedExtends SL probability with Bayes' theorem, the general variance formula for a discrete random variable, and continuous random variables.
0%0/16 complete
05Geometry and trigonometry
Not startedHL-only depth: the vector cross and scalar triple products, the geometry of lines and planes in three dimensions, and compound and double angle identities.
0%0/16 complete
When independent study is not enough
Get help from a real teacher.
Tell us the subject and topic blocking your progress. We can source a suitable teacher in response to demand.
Wrong level? Switch to MATH AA SL
This is unofficial beta practice under accuracy, provenance, and rights review. Use the latest official subject guide to confirm syllabus coverage and examination requirements.