IG成绩很好的学生也可能面临A-level学习挑战？知识点对比很直观！

同样是国际课程，IG和A-level国际课程类似但难度差的不是一星半点，从要学的知识点、学习的深度等都有很大变化。IG成绩很好的学生也可能面临A-level学习挑战。

我们将以CIE考试局为例，通过深扒IG和A-level大纲的Content overview部分，看看覆盖的知识点数量，来给大家进行一个直观的对比。

A-level大多按照paper来划分或者AS/A2划分，每个paper包含多少必学知识点。IG按照topic划分，每个topic下面也会有细分的更多知识点，但难度和要求跟A-level知识点完全不是一个级别的。

A Level数学包括基础数学（Mathematics）和进阶数学（Further Mathematics）。两者之间关系是程连续性的，基础数学可以说是一门必考科目，很多能力强的学生还会添加进阶数学为自己增加优势，那么要学的知识点数量和难度都是翻倍增加的。

Number：

☛ Number

Algebra：

☛ Algebra and graphs

☛ Coordinate geometry

Shape and space：

☛ Geometry

☛ Mensuration

☛ Trigonometry

☛ Vectors and transformations

Probability and statistics

☛ Probability

☛ Statistics

1 Pure Mathematics 1 Paper 1： 

☛ 1.1 Quadratics

☛ 1.2 Functions

☛ 1.3 Coordinate geometry

☛ 1.4 Circular measure

☛ 1.5 Trigonometry

☛ 1.6 Series

☛ 1.7 Differentiation

☛ 1.8 Integration

2 Pure Mathematics 2 Paper 2：

☛ 2.1 Algebra

☛ 2.2 Logarithmic and exponential functions

☛ 2.3 Trigonometry

☛ 2.4 Differentiation

☛ 2.5 Integration

☛ 2.6 Numerical solution of equations

3 Pure Mathematics 3 Paper 3：

☛ 3.1 Algebra

☛ 3.2 Logarithmic and exponential functions

☛ 3.3 Trigonometry

☛ 3.4 Differentiation

☛ 3.5 Integration

☛ 3.6 Numerical solution of equations

☛ 3.7 Vectors

☛ 3.8 Differential equations

☛ 3.9 Complex numbers

4 Mechanics Paper 4：

☛ 4.1 Forces and equilibrium

☛ 4.2 Kinematics of motion in a straight line

☛ 4.3 Momentum

☛ 4.4 Newton’s laws of motion

☛ 4.5 Energy, work and power

5 Probability & Statistics 1 Paper 5：

☛ 5.1 Representation of data

☛ 5.2 Permutations and combinations

☛ 5.3 Probability

☛ 5.4 Discrete random variables

☛ 5.5 The normal distribution

Probability & Statistics 2 Paper 6：

☛ 6.1 The Poisson distribution

☛ 6.2 Linear combinations of random variables

☛ 6.3 Continuous random variables

☛ 6.4 Sampling and estimation

☛ 6.5 Hypothesis tests

CIE aleve数学六份卷子，总的来说，AS Level 考生需要从中挑选两份paper进行考试. 而A Level考生一共需要考出4份paper的成绩. 考生可以分两年考完4张paper，或者在A Level这一年一次考完4张paper。

Further Pure Mathematics 1 Paper 1：

☛ 1.1 Roots of polynomial equations

☛ 1.2 Rational functions and graphs

☛ 1.3 Summation of series

☛ 1.4 Matrices

☛ 1.5 Polar coordinates

☛ 1.6 Vectors

☛ 1.7 Proof by induction

2 Further Pure Mathematics 2 Paper 2：

☛ 2.1 Hyperbolic functions

☛ 2.2 Matrices

☛ 2.3 Differentiation

☛ 2.4 Integration

☛ 2.5 Complex numbers

☛ 2.6 Differential equations

3 Further Mechanics Paper 3：

☛ 3.1 Motion of a projectile

☛ 3.2 Equilibrium of a rigid body

☛ 3.3 Circular motion

☛ 3.4 Hooke’s law

☛ 3.5 Linear motion under a variable force

☛ 3.6 Momentum

4 Further Probability &Statistics Paper 4：

☛ 4.1 Continuous random variables

☛ 4.2 Inference using normal and t-distributions

☛ 4.3 2 | -tests

☛ 4.4 Non-parametric tests

☛ 4.5 Probability generating functions

A-level进阶数学所有考生四个单元都要考。

☛ 1 Motion, forces and energy

☛ 2 Thermal physics

☛ 3 Waves

☛ 4 Electricity and magnetism

☛ 5 Nuclear physics

☛ 6 Space physics

AS物理：

☛ 1 Physical quantities and units

☛ 2 Kinematics

☛ 3 Dynamics

☛ 4 Forces, density and pressure

☛ 5 Work, energy and power

☛ 6 Deformation of solids

☛ 7 Waves

☛ 8 Superposition

☛ 9 Electricity

☛ 10 D.C. circuits

☛ 11 Particle physics

☛ AS Level candidates also study practical skills.

A2物理：

☛ 12 Motion in a circle

☛ 13 Gravitational fields

☛ 14 Temperature

☛ 15 Ideal gases

☛ 16 Thermodynamics

☛ 7 Oscillations

☛ 18 Electric fields

☛ 19 Capacitance

☛ 20 Magnetic fields

☛ 21 Alternating currents

☛ 22 Quantum physics

☛ 23 Nuclear physics

☛ 24 Medical physics

☛ 25 Astronomy and cosmology 

☛ A level candidates also study practical skills

☛ 1 States of matter

☛ 2 Atoms, elements and compounds

☛ 3 Stoichiometry

☛ 4 Electrochemistry

☛ 5 Chemical energetics

☛ 6 Chemical reactions

☛ 7 Acids, bases and salts

☛ 8 The Periodic Table

☛ 9 Metals

☛ 10 Chemistry of the environment

☛ 11 Organic chemistry

☛ 12 Experimental techniques and chemical analysis

AS化学：

Physical chemistry

☛ 1 Atomic structure

☛ 2 Atoms, molecules and stoichiometry

☛ 3 Chemical bonding

☛ 4 States of matter

☛ 5 Chemical energetics

☛ 6 Electrochemistry

☛ 7 Equilibria

☛ 8 Reaction kinetics

Inorganic chemistry

☛ 9 The Periodic Table: chemical periodicity

☛ 10 Group 2

☛ 11 Group 17

☛ 12 Nitrogen and sulfur

Organic chemistry

☛ 13 An introduction to AS Level organic chemistry

☛ 14 Hydrocarbons

☛ 15 Halogen compounds

☛ 16 Hydroxy compounds

☛ 17 Carbonyl compounds

☛ 18 Carboxylic acids and derivatives

☛ 19 Nitrogen compounds

☛ 20 Polymerisation

☛ 21 Organic synthesis

Analysis

☛ 22 Analytical techniques

☛ AS Level candidates also study practical skills.

A2化学：

Physical chemistry

☛ 23 Chemical energetics

☛ 24 Electrochemistry

☛ 25 Equilibria

☛ 26 Reaction kinetics

Inorganic chemistry

☛ 27 Group 2

☛ 8 Chemistry of transition elements

Organic chemistry

☛ 29 An introduction to A Level organic chemistry

☛ 30 Hydrocarbons

☛ 31 Halogen compounds

☛ 32 Hydroxy compounds

☛ 33 Carboxylic acids and derivatives

☛ 34 Nitrogen compounds

☛ 35 Polymerisation

☛ 36 Organic synthesis

Analysis

☛ 37 Analytical techniques

☛ A Level candidates also study practical skills.

☛ 1 Characteristics and classification of living organisms

☛ 2 Organisation of the organism

☛ 3 Movement into and out of cells

☛ 4 Biological molecules

☛ 5 Enzymes

☛ 6 Plant nutrition

☛ 7 Human nutrition

☛ 8 Transport in plants

☛ 9 Transport in animals

☛ 10 Diseases and immunity

☛ 11 Gas exchange in humans

☛ 12 Respiration

☛ 13 Excretion in humans

☛ 14 Coordination and response

☛ 15 Drugs

☛ 16 Reproduction

☛ 17 Inheritance

☛ 18 Variation and selection

☛ 19 Organisms and their environment

☛ 20 Human influences on ecosystems

☛ 21 Biotechnology and genetic modification

AS生物：

☛ 1 Cell structure

☛ 2 Biological molecules

☛ 3 Enzymes

☛ 4 Cell membranes and transport

☛ 5 The mitotic cell cycle

☛ 6 Nucleic acids and protein synthesis

☛ 7 Transport in plants

☛ 8 Transport in mammals

☛ 9 Gas exchange

☛ 10 Infectious diseases

☛ 11 Immunity

☛ AS Level candidates also study practical skills. 

A2生物：

☛ 12 Energy and respiration

☛ 13 Photosynthesis

☛ 14 Homeostasis

☛ 15 Control and coordination

☛ 16 Inheritance

☛ 17 Selection and evolution

☛ 18 Classification, biodiversity and conservation

☛ 19 Genetic technology

☛ A Level candidates also study practical skills

☛ 1 The basic economic problem

☛ 2 The allocation of resources

☛ 3 Microeconomic decision makers

☛ 4 Government and the macroeconomy

☛ 5 Economic development

☛ 6 International trade and globalisation

AS经济：

Basic economic ideas and resource allocation

☛ 1.1 Scarcity, choice and opportunity cost

☛ 1.2 Economic methodology

☛ 1.3 Factors of production

☛ 1.4 Resource allocation in different

economic systems

☛ 1.5 Production possibility curves

☛ 1.6 Classification of goods and services

The price system and the microeconomy

☛ 2.1 Demand and supply curves

☛ 2.2 Price elasticity, income elasticity and cross elasticity of demand

☛ 2.3 Price elasticity of supply

☛ 2.4 The interaction of demand and supply

☛ 2.5 Consumer and producer surplus

Government microeconomic intervention

☛ 3.1 Reasons for government intervention in markets

☛ 3.2 Methods and effects of government intervention in markets

☛ 3.3 Addressing income and wealth inequality

The macroeconomy

☛ 4.1 National income statistics

☛ 4.2 Introduction to the circular flow of income

☛ 4.3 Aggregate Demand and Aggregate Supply analysis

☛ 4.4 Economic growth

☛ 4.5 Unemployment

☛ 4.6 Price stability

A2经济：

The price system and the microeconomy

☛ 7.1 Utility

☛ 7.2 Indifference curves and budget lines

☛ 7.3 Efficiency and market failure

☛ 7.4 Private costs and benefits, externalities and social costs and benefits

☛ 7.5 Types of cost, revenue and profit, short-run and long-run production

☛ 7.6 Different market structures

☛ 7.7 Growth and survival of firms

☛ 7.8 Differing objectives and policies of firms

Government microeconomic intervention

☛ 8.1 Government policies to achieve efficient resource allocation and correct market failure

☛ 8.2 Equity and redistribution of income and wealth

☛ 8.3 Labour market forces and government intervention

The macroeconomy

☛ 9.1 The circular flow of income

☛ 9.2 Economic growth and sustainability

☛ 9.3 Employment/unemployment

☛ 9.4 Money and banking

做AS预习是因为还有接下来的学习，IGCSE成绩不太好的同学，可能是发挥失误，也可能是IG的底子不好，如果IG知识薄弱，必然会影响到AS课程的学习，所以想在A-level翻盘，提前预习是十分有必要的。

 

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Alevel培训金牌导师、独家教材内容包含：知识点讲解和剖析，相关题目的讲解练习，帮助学生制定下学期学习计划，模考点评及学习建议。

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