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AS AQA Mathematics Unit 1 Mark Scheme (January 2021) | AS AQA 数学 Unit 1 评分方案解析(2021年1月)

📚 AS AQA Mathematics Unit 1 Mark Scheme (January 2021) | AS AQA 数学 Unit 1 评分方案解析(2021年1月)

The AQA AS Mathematics Unit 1 paper from January 2021 tests a range of pure mathematical skills. The mark scheme is the key to understanding how marks are awarded, and this article explains every important symbol and rule you need to decode it successfully.

AQA AS 数学 Unit 1 2021 年 1 月试卷考查了一系列纯数学技能。评分方案是理解分数如何授予的关键,本文将解释你成功解读它所需的每一个重要符号和规则。

1. Overview of the Unit 1 Assessment | Unit 1 考核概览

In the January 2021 series, the AS Mathematics Unit 1 paper was designed to be taken in one sitting. It contained a mixture of short and long questions, each marked according to a published mark scheme. The paper rewarded both the final answer and the working that led to it.

在 2021 年 1 月的考试季中,AS 数学 Unit 1 试卷设计为一次性完成。试卷包含短问答和长问答的混合,每道题根据已发布的评分方案进行评分。试卷既奖励最终答案,也奖励得出答案的过程。

The mark scheme normally gives a breakdown of marks for each question, with a total of 80 marks for the paper. You should aim to write clearly, show every step, and use correct mathematical notation.

评分方案通常会给出每道题的分值分解,试卷总分为 80 分。你应该力求书写清晰,展示每一个步骤,并使用正确的数学符号。


2. General Marking Principles | 评分总原则

AQA mark schemes use a set of standard abbreviations. The most common are M, A, B, and F.T. These letters appear next to each mark and tell you exactly why a mark is awarded.

AQA 评分方案使用一组标准缩写。最常见的是 M、A、B 和 F.T.。这些字母出现在每个分数旁边,准确告诉你该分数授予的原因。

  • M marks are method marks, awarded for using a correct method even if the arithmetic is wrong.

    M 分是方法分,只要使用了正确的方法即可获得,即使计算有误。

  • A marks are accuracy marks, awarded only when the answer is correct and the working is valid.

    A 分是准确分,仅当答案正确且过程有效时授予。

  • B marks are independent marks, given for a correct statement or answer without needing a method.

    B 分是独立分,针对无需方法过程的正确陈述或答案而授予。

  • F.T. means follow-through, which allows you to gain later marks based on an earlier incorrect answer.

    F.T. 意为“跟进”,允许你基于先前错误的答案获得后面的分数。


3. Method Marks (M) | 方法分 M

Method marks are the heart of the mark scheme. They reward you for choosing a correct mathematical strategy. For example, if you need to solve a quadratic equation, you might receive M1 for applying the quadratic formula or for factorising the expression correctly.

方法分是评分方案的核心。它们奖励你选择了正确的数学策略。例如,如果需要解一个二次方程,你可能会因为正确应用求根公式或因式分解而获得 M1。

A method mark is usually awarded as soon as you show the essential step. You do not need to complete the whole calculation to receive it.

方法分通常在你展示关键步骤时即可获得。你不需要完成整个计算也能获得它。

Sometimes a method mark is followed by a special note such as “M1 for attempting to differentiate” or “M1 for using the chain rule”. Always read this note.

有时方法分后面会有特别说明,如“尝试求导得 M1”或“使用链式法则得 M1”。一定要阅读这些说明。


4. Accuracy Marks (A) | 准确分 A

Accuracy marks depend on a completely correct result. If you have the right method but a small error, you may keep the method mark but lose the accuracy mark. For example, differentiating y = x³ might give you M1 for the power rule, but if you write 3x² incorrectly as 2x², you lose A1.

准确分取决于完全正确的结果。如果你方法正确但有小错误,你可能保留方法分但失去准确分。例如,对 y = x³ 求导,你可能会因幂法则获得 M1,但如果你把 3x² 错写成 2x²,则会失去 A1。

Some A marks are marked as “A1 cao”, which means “correct answer only”. In that case you get no accuracy mark unless the final line is exactly right.

有些 A 分会标注为“A1 cao”,意思是“仅正确答案”。在这种情况下,除非最后一行完全正确,否则你不会得到准确分。


5. Independent Marks (B) | 独立分 B

B marks are different from M and A marks because they do not rely on a method being shown. A correct sketch, a correct value, or a correct statement can earn B marks on its own.

B 分与 M 分和 A 分不同,因为它不依赖于所展示的方法。正确的草图、正确的数值或正确的陈述本身就能获得 B 分。

For example, writing down the gradient of a straight line from its equation may be a B1 mark, because it is a direct reading of the coefficient. Another example is writing the domain of a function or the range of a trig function.

例如,从直线方程中直接读出斜率可能是一个 B1 分,因为它是对系数的直接读取。另一个例子是写出函数的定义域或三角函数的取值范围。


6. Special Cases and Follow-Through | 特殊情况与跟进分

In many mark schemes you will see “Special Case” or “SC” followed by a mark. This is used when a student makes an unusual but valid attempt. For example, if a question asks for a proof and you use a different but correct method, an SC mark may be awarded.

在许多评分方案中,你会看到“Special Case”或“SC”及其对应的分数。当学生做出非标准但有效的尝试时,会使用这一规则

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