2023-2025 A Level 数学考试大纲

周志高 提交于 周三, 07/20/2022 - 05:02
2023-2025 A Level 数学考试大纲
Content section Assessment component Topics included
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

6. 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

 

从上表可以看出, A Level 数学一共有 6 个模块。对于只想拿到 AS 等级的考生,只需要考 3 个模块,其中必考模块是 Paper 1: Pure Mathematics 1 和 Paper 3: Pure Mathematics 3. 然后考生可以选择下列两个模块中的任何一个:

Paper 4: Mechanics 

Paper 5: Probability & Statistics 1

中国考生参加 A Level 考试通常是为了进大学,所以我们不考虑AS选课组合,只考虑 Full A Level 选课组合。Full A Level 一共要考 4 个模块。那么我们的选择组合是:

必考模块:

Paper 1: Pure Mathematics 1 和 

Paper 3: Pure Mathematics 3

选考组合一:

Paper 4: Mechanics 和 Paper 5: Probability & Statics 1

选考组合二:

Paper 5: Probability & Statistics 1 和 Paper 6: Probability & Statistics 2

注意,不存在 Paper 4 和 Paper 6 的组合。因为 Paper 6 的前置课程是 Paper 5.

至于究竟选择哪种组合,那得看学生对自己的大学专业的规划。如果打算走工程路线,那么就选择组合一,因为走工程路线,必须得有 Mechanics 基础;如果打算走商业、金融路线,那么就选择组合二,因为商业金融涉及到 Probability & Statistics 知识比较多。