Cambridge IGCSE Additional Mathematics

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Strengthen advanced algebra and functions, then prepare for proof, calculus and both papers.

  • Bridge prerequisite gaps in algebra, functions, graphs and trigonometry before advanced work
  • Select algebraic, graphical, vector, trigonometric or calculus methods from structure
  • Control long solutions and proofs through intermediate goals, justification and exact notation
  • Consolidate methods that transfer directly into A Level or IB mathematics
课程重点收起课程重点

课程重点

Bridge the gap from Mathematics to Additional Mathematics Advanced topics become manageable only when algebra, functions, graphs and trigonometry are sufficiently automatic.
Diagnose prerequisite gaps
Trace difficulty back to factorisation, equations, indices, functions or graph interpretation.
Increase symbolic fluency
Simplify and transform expressions without losing restrictions or exact form.
Transfer immediately
Use each repaired skill in an Additional Mathematics problem.
 Choose representations and methods from structure Recognise when algebraic, graphical, trigonometric, vector or calculus forms reveal the problem most clearly.
Translate representations
Move between formulae, graphs, coordinates and geometric relationships.
Compare methods
Select efficient exact or numerical routes and explain why they apply.
Keep conditions visible
Track domains, ranges, roots and parameter restrictions.
 Control long solutions, proofs and calculus arguments Break complex questions into intermediate goals and preserve a readable mathematical chain.
Plan the target
Identify the desired form or quantity before expanding algebra.
Justify decisive steps
State identities, theorems and calculus reasoning where marks depend on them.
Check globally
Use graphs, signs, substitution and boundary behaviour to test the result.
 Prepare for progression, not only the next test Use assessment feedback to stabilise methods that will reappear in A Level or IB mathematics.
Record error patterns
Separate prerequisite, strategy, algebra, notation and timing failures.
Practise both modes
Retain exact non-calculator methods alongside efficient calculator checks.
Consolidate across topics
Use mixed problems that connect functions, trigonometry, vectors and calculus.
课程内容收起课程内容

课程内容

Functions and algebra
Functions, quadratics, equations, inequalities, indices, surds, logarithms and polynomials.
  • Functions, composite and inverse functions
  • Quadratics and inequalities
  • Indices, surds and logarithms
  • Polynomial expressions and graphs
Factors and simultaneous equations
Factor and remainder theorems, partial fractions and simultaneous systems.
  • Factor and remainder theorems
  • Partial fractions
  • Simultaneous linear and non-linear equations
Coordinate geometry and vectors
Lines, curves, position vectors, magnitude and geometric relationships.
  • Lines and curves
  • Coordinate methods
  • Position vectors and geometric relationships
Circular measure and trigonometry
Radians, identities, equations, graphs and applications.
  • Radians and arc geometry
  • Trigonometric identities and equations
  • Trigonometric graphs and applications
Series and calculus
Sequences, series, differentiation, integration and kinematics.
  • Sequences and series
  • Differentiation and stationary points
  • Integration and area
  • Kinematics
Paper 1
2 hours, non-calculator.
  • Questions may draw from the full syllabus
  • Exact and non-calculator methods
  • Structured and unstructured mathematical reasoning
Non-calculator written examination: 2 hours, 80 marks, 50%.
Paper 2
2 hours, scientific calculator permitted.
  • Questions may draw from the full syllabus
  • Scientific-calculator use
  • Structured and unstructured mathematical reasoning
Calculator written examination: 2 hours, 80 marks, 50%.

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每月 4 堂 每堂 90 分钟

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HK$1,800／4节
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