IB DP 1 Maths AA (SL)
Ancourage Academy · IB DP · DP 1
Content reviewed: Jan 2026
IB DP 1 Mathematics AA (SL) tuition at Ancourage Academy in Singapore (Bishan & Woodlands) offers small-group classes of 3-6 students, aligned with the IB Diploma Programme Group 5 syllabus. Weekly 2-hour lessons use our ESB methodology to develop algebraic fluency, abstract reasoning, and calculus foundations. "DP Mathematics rewards conceptual understanding—students who grasp underlying principles excel in both AA and AI," according to our educators. Our structured approach helps students build confident problem-solving abilities for STEM and economics pathways.
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 — Exponents, logarithms, sequences and series, binomial expansion.
- ✓Functions — Characteristics of linear, quadratic, exponential, logarithmic, and trigonometric functions; transformations and inverses.
- ✓Geometry and Trigonometry — Trigonometric identities and equations, radian measure, sine/cosine rules, and real-world applications.
- ✓Calculus — Introduction to differentiation and integration, applications to gradients, optimisation, and area under curves.
- ✓Statistics and Probability — Probability laws, discrete and continuous random variables, binomial and normal distributions.
- ✓Mathematical reasoning — Proof, logical argument, and construction of clear, step-by-step solutions.
What IB DP 1 Maths AA SL students commonly work on
- 1
Calculus foundations — building intuition for differentiation and integration before exam applications
- 2
Algebraic manipulation — developing fluency with exponentials, logarithms, and sequences
- 3
GDC proficiency — learning when to use the calculator strategically vs. showing working
- 4
Problem interpretation — translating word problems into mathematical models
- 5
Proof and reasoning — constructing logical arguments rather than just computing answers
Learning Progression
Builds On
MYP Mathematics with algebra, functions, and introduction to calculus concepts
Prepares For
DP 2 exam preparation with timed Paper 1 (no calculator) and Paper 2 (calculator)
Key Transition
DP 1 builds the conceptual foundations — understanding why methods work prepares students to apply them flexibly in Year 2 exam conditions.
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Frequently Asked Questions
Analysis and Approaches (AA) emphasises algebraic manipulation, abstract reasoning, and proof, suitable for students planning to study mathematics, engineering, or physical sciences. Applications and Interpretation (AI) focuses on real-world modelling, statistics, and technology use, ideal for social sciences, business, or life sciences pathways.
HL covers additional topics like vectors, advanced calculus, and proof by induction, with greater depth and rigour. Choose HL if mathematics is central to your university plans (engineering, physics, maths). SL provides solid preparation for courses requiring mathematical competence without specialisation.
The IA is a 12-20 page independent investigation exploring a mathematical topic of personal interest. Work begins in DP 1 with topic selection and initial research, with final submission in DP 2. It counts for 20% of the final grade.
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.
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