📚 Integration Dominoes: AQA International A-Level Maths Worksheet | AQA 国际 A-Level 数学积分多米诺工作表
Integration dominoes are a matching activity designed to help AQA International A-Level Maths students practise integration in a low-stakes, loop-building format. Each card carries an integral on one side and an answer to a different integral on the other side, so students must match questions with correct antiderivatives until the chain closes.
积分多米诺是一种配对活动，旨在帮助 AQA 国际 A-Level 数学学生在低压力的闭环构建中练习积分。每张卡片一侧是一道积分题，另一侧是另一道题的答案，学生需要把题目与正确的原函数配对，直到链条闭合。
1. What Are Integration Dominoes? | 什么是积分多米诺
h as x³ + 2x² + C. The answer on a card does not match its own question, so a card can only be placed next to another card when the question matches the displayed answer.
多米诺卡片有两端：一端是题目，例如 ∫(3x² + 4x) dx；另一端是答案，例如 x³ + 2x² + C。卡片上的答案与自己的题目不匹配，因此只有当一张卡的题目与另一张卡显示的答案一致时，才能将两张卡相邻放置。
Teachers often arrange the cards as a loop, so the final answer connects back to the starting question. This self-checking structure allows students to find and correct mistakes immediately without waiting for the teacher.
教师通常把卡片排列成环，使最后一个答案回到起始题目。这种自检结构让学生能够立即发现并纠正错误，无需等待教师批改。
The activity can be used as a starter, a plenary, or a revision station. Because the chain only closes when every match is correct, it gives instant feedback and keeps the whole group focused on the same learning goal.
该活动可以用作课堂导入、总结或复习站。由于只有当每一处匹配都正确时链条才会闭合，因此它能提供即时反馈，并让整个小组专注于同一个学习目标。
2. Why Use Dominoes for Integration? | 为什么用多米诺练习积分
Integration fluency requires both recognition and accuracy: students need to recognise the form of an integral and choose the correct reversal of differentiation. Dominoes force repeated decision-making, which strengthens pattern recognition for standard forms.
积分熟练度既需要识别能力，也需要准确性：学生需要识别积分的类型并选择正确的微分逆运算。多米诺迫使反复决策，从而加强对标准形式的模式识别。
The activity also encourages discussion. When a match seems unclear, students compare derivatives, check for missing constants, and explain why a candidate answer is wrong. This mathematical talk is valuable for AO2 reasoning and AO3 problem-solving.
该活动还能促进讨论。当匹配不明确时，学生会比较导数、检查缺失的常数，并解释某个候选答案为何不正确。这种数学交流对 AO2 推理和 AO3 问题解决都很有价值。
Because dominoes are self-checking, they reduce the pressure of making mistakes in front of the class. Students can test an idea, see whether the chain continues, and revise their thinking without negative consequences.
由于多米诺具有自检功能，它们减轻了在全班面前犯错的压力。学生可以尝试某个想法，观察链条是否继续，并在没有负面后果的情况下修正思路。
3. Setting Up the Dominoes Worksheet | 多米诺工作表的设置
Prepare 12 to 20 cards. Each card should have one integral on the left and one antiderivative on the right. Make sure the answer on card A matches the question on card B, card B's answer matches card C's question, and so on, with the final answer matching card A's question.
准备 12 到 20 张卡片。每张卡片左侧写一道积分题，右侧写一个原函数。确保卡片 A 的答案与卡片 B 的题目匹配，卡片 B 的答案与卡片 C 的题目匹配，依此类推，最后的答案与卡片 A
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