IB DP 2 AA Maths (HL)
Ancourage Academy · IB DP · DP 2
Content reviewed: Jan 2026
IB DP 2 Mathematics AA (HL) tuition at Ancourage Academy in Singapore (Bishan & Woodlands) offers focused classes capped at 6 students, providing final examination preparation for the most rigorous IB mathematics pathway. Weekly 2-hour lessons use our ESB methodology to consolidate advanced calculus, vectors, proof techniques, and exam strategy for all three papers. "DP success comes from connecting knowledge across disciplines—students who see patterns between subjects excel in examinations," explains our teaching faculty. Our structured approach helps students achieve university-level mathematical mastery with confident examination performance.
What Makes Us Different
Our proven teaching methodology combines evidence-based approaches for maximum learning effectiveness
Ebbinghaus Memory Theory
Self-directed retrieval scheduling where students learn to identify their own weak areas and plan review cycles accordingly — developing the metacognitive skills essential for A-Level success and independent university study.
Socratic Questioning
Rigorous dialectic questioning where students must justify their reasoning and consider counterarguments — 'What evidence supports this?' and 'Where could this logic break down?' — building the analytical rigour expected in higher education.
Bruner's Scaffolding
Minimal scaffolding with maximum autonomy — tutors pose challenging problems and observe, intervening only when students are genuinely stuck — preparing students to structure their own approach to unfamiliar problems.
Key Learning Outcomes
Master Key Concepts
Deep understanding of core topics aligned with MOE syllabus
Critical Thinking
Develop analytical and problem-solving skills
Exam Confidence
Strategic exam techniques and time management
Consistent Results
Improved grades and academic performance
Course Structure
Duration
2 hours per lesson
Full coverage with interactive learning time
Class Size
3-6 students per class
Close guidance, timely feedback, and ample practice
Materials
All materials provided
No material fees — all worksheets and resources included
Curriculum Overview
- ✓Number and Algebra — Proof by induction, complex numbers, advanced sequences and series, exponents/logarithms.
- ✓Functions — Polynomial, rational, exponential, logarithmic, and trigonometric functions; inverses, compositions, and transformations.
- ✓Geometry and Trigonometry — Radian measure, double/triple angle formulas, trigonometric identities, advanced trigonometric equations.
- ✓Calculus — Extensive differentiation and integration, applications to kinematics, optimisation, volumes, and introduction to differential equations.
- ✓Vectors — Vector algebra in 2D and 3D, equations of lines and planes, scalar and vector products.
- ✓Probability and Statistics — Advanced probability, continuous distributions, hypothesis testing, correlation/regression, Poisson distribution.
- ✓Mathematical reasoning — Emphasis on logic, proof, and structured justification.
- ✓Internal Assessment (IA) — Guidance on the HL Mathematical Exploration (independent 12–20 page investigation).
What IB DP 2 AA Maths HL students commonly work on
- 1
Paper 1 algebraic fluency — handling complex proofs and manipulations without calculator
- 2
Vectors and calculus integration — connecting 3D vectors with calculus applications
- 3
Extended problem solving — managing 15+ mark questions requiring sustained reasoning
- 4
IA refinement — finalising the Mathematical Exploration with HL-level depth and rigour
- 5
Proof construction — building formal mathematical arguments under exam conditions
Learning Progression
Builds On
DP 1 AA Maths HL with advanced algebra, calculus, and introduction to vectors
Prepares For
IB Diploma examinations and mathematics-intensive university degrees
Key Transition
DP 2 demands fluent integration — HL students must connect all topics seamlessly in extended problems under time pressure.
Related Courses
Explore other courses that complement your learning journey
Frequently Asked Questions
AA HL exams include extended multi-step problems (15+ marks) requiring sustained mathematical reasoning. Paper 1 (no calculator) tests pure algebraic and proof skills, while Paper 2 (calculator) covers applied topics including vectors and calculus. Regular timed practice is essential.
AA HL is required or strongly preferred for mathematics, engineering, physics, and computer science programmes at top universities. A strong predicted grade (6 or 7) significantly strengthens applications to competitive STEM courses.
We focus on targeted support for common challenges: vectors, advanced calculus, and proof construction. Regular diagnostic assessments help identify gaps. In some cases, discussing a switch to AA SL with the school may be appropriate if the workload is overwhelming.
Our small-group classes are intentionally kept between 3 and 6 students so every learner receives close guidance, timely feedback, and ample practice.
Each lesson is 2 hours, providing ample time for thorough coverage of topics and interactive learning.
Yes. All lesson materials and worksheets are provided and included in the fees. Students should bring regular stationery and, where applicable, school textbooks/workbooks for reference.
Yes. Our materials and pacing align with the MOE syllabus. External syllabuses (e.g. IGCSE, IB) are available upon request.
Ready to Get Started?
Enquire now and experience our proven teaching methodology
💬 Have questions? WhatsApp us anytime — we typically respond within 2 hours