Sec 4 G3 A-Maths
Ancourage Academy · Secondary · Sec 4
Content reviewed: Jan 2026
Sec 4 A-Maths tuition at Ancourage Academy in Singapore (Bishan & Woodlands) offers small groups of 3-6 learners, following Singapore's MOE syllabus. Weekly 2-hour lessons use our ESB methodology to sharpen calculus, trigonometry, and advanced algebraic manipulation for O-Level and JC preparation. "Mathematical confidence grows when students understand the 'why' behind formulas, not just the 'how'," according to our educators. Our structured approach helps students achieve fluency for H2 Mathematics in JC.
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
- ✓Algebra — Mastery of surds, indices, logarithms, polynomials, and binomial expansion; application of factor and remainder theorems to solve equations efficiently.
- ✓Equations and inequalities — Solving quadratic, simultaneous, and higher-order equations; applying inequalities to practical and theoretical problems.
- ✓Functions and graphs — Sketching and interpreting graphs of quadratic, cubic, rational, exponential, logarithmic, and trigonometric functions; applying transformations and solving intersection problems.
- ✓Trigonometry — Using identities (double-angle, compound-angle, reciprocal), trigonometric equations, and R-formula for problem-solving.
- ✓Calculus — Differentiation of polynomials, trigonometric, exponential, and logarithmic functions; applications to gradients, tangents, normals, and kinematics.
- ✓Integration — Integration of polynomials, simple trigonometric and exponential functions; applications to area under curves and basic volumes of revolution.
- ✓Coordinate geometry — Equations of circles, properties of tangents, normals, and solving geometry problems algebraically.
- ✓Vectors — Representing vectors in two dimensions, applying magnitude and direction, scalar product, and solving geometric problems involving displacement and forces.
- ✓Examination readiness — Full mastery of O-Level formats, step-by-step presentation of solutions, and time management strategies for Paper 1 and Paper 2.
What Sec 4 A-Maths students commonly work on
- 1
Calculus applications — knowing when to differentiate vs integrate in context problems
- 2
Trigonometric proofs — selecting the right identities and working through proofs systematically
- 3
Time allocation — balancing speed and accuracy across both papers
- 4
Abstract reasoning — handling unfamiliar problem types that require creative thinking
- 5
Integration of topics — solving questions that span multiple chapters simultaneously
Learning Progression
Builds On
Sec 3 A-Maths with foundational calculus and advanced algebra
Prepares For
O-Level Additional Mathematics and H2 Mathematics in JC
Key Transition
A-Maths in Sec 4 is the gateway to JC mathematics — students must achieve fluency in advanced topics to succeed at the A-Level.
“Attending this tuition centre has been a game-changer for my studies. Teacher Min is always patient and explains concepts in a way that's easy to understand. My maths grades improved from a C6 to an A1!”
Secondary Student (Mathematics)
Related Courses
Explore other courses that complement your learning journey
Sec 4 G3 E-Maths
Ensure strong E-Maths foundations alongside A-Maths
Sec 4 G3 Physics
Apply calculus and trigonometry to physics problems
Sec 4 G3 Chemistry
Complete Triple Science with Pure Chemistry
Sec 4 G2 A-Maths
G2 A-Maths SEC exam sprint
Sec 4 G1 Mathematics
G1 Mathematics SEC exam preparation with practical focus
Frequently Asked Questions
We cover all O-Level A-Maths topics: calculus, trigonometry, algebra, and coordinate geometry. Students develop fluency through targeted practice, learn to select appropriate methods for different question types, and build confidence in handling challenging problems.
A-Maths is essential for H2 Mathematics in JC, which is required for engineering, computing, science, and economics pathways. Students without A-Maths can take H1 Mathematics, but this limits university options for STEM-related courses.
We build conceptual understanding first—what differentiation and integration mean—before teaching techniques. Students learn to recognise when to apply each method and practice extensively with application problems. Most improve significantly with systematic guidance.
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