📚 AMC Competition Planning from Grade 1 to Grade 12: A Complete Roadmap | 1-12年级AMC竞赛规划
Planning for the AMC series is not a decision made in grade 10 when a student suddenly needs a competition result for university applications. It is a long continuum that starts with number sense in primary school, passes through the AMC 8 in the middle years, and ends with AMC 12 and AIME results in grade 11 or 12. Families who understand the whole timeline can spread the work out, keep pressure low, and still reach the qualification thresholds that matter.
AMC系列竞赛的规划，并不是到了10年级突然需要一份竞赛成绩时才临时决定的事情，而是一条贯穿小学到高中的长线：从小学的数感启蒙开始，经过初中阶段的AMC 8，最后落在11、12年级的AMC 12与AIME成绩上。看懂整条时间线的家庭，可以把任务摊平、把压力降低，同时依然能踩到真正重要的晋级线。
1. Why a Twelve-Year Plan Beats Last-Minute Cramming | 为什么长线规划优于临时突击
AMC performance is built, not crammed. The four pillars of the exam - number theory, counting and combinatorics, geometry, and algebra - depend on each other. A student who only starts serious preparation in grade 10 is competing against peers who have been solving olympiad-style problems since grade 5.
AMC的成绩是积累出来的，而不是突击出来的。这门考试的四大支柱——数论、计数与组合、几何、代数——彼此依赖。10年级才开始认真准备的学生，面对的往往是5年级起就在做奥数风格题目的同龄人。
A twelve-year plan does not mean twelve years of drilling. It means matching difficulty to the student's developmental stage, so that every year adds one new tool without creating burnout, gaps, or a dislike of mathematics.
12年规划并不等于12年刷题。它的含义是让题目难度与学生的认知发展阶段相匹配，使每一年只新增一项工具，既不造成倦怠，也不留下知识断层，更不会让孩子讨厌数学。
The planning horizon matters most at four checkpoints. Everything before them is preparation, and everything after them is refinement.
整条规划线最关键的是四个检查点，之前的年份都是准备，之后的年份都是打磨。
- Grade 5: first taste of a real competition, no score target.
5年级：第一次接触真正的竞赛，不设分数目标。 - Grade 8: AMC 8 peak year plus a first AMC 10 attempt.
8年级：AMC 8的巅峰年，同时首次尝试AMC 10。 - Grade 10: AMC 10 mastery and the main AIME qualification push.
10年级：AMC 10达到熟练，主攻AIME晋级。 - Grade 12: AMC 12 result and AIME index used for applications.
12年级：AMC 12成绩与AIME指数用于大学申请。
2. The AMC Family and the Rules You Must Know | AMC赛事体系与必须掌握的规则
The Mathematical Association of America runs a chain of competitions. AMC 8, AMC 10 and AMC 12 are the entry points; a high enough score earns an invitation to the AIME; strong AMC plus AIME results feed into USAJMO or USAMO, and from there towards the international olympiad training camps.
美国数学协会运营着一整条竞赛链：AMC 8、AMC 10、AMC 12是入口；分数足够高会获得AIME邀请；AMC与AIME的组合成绩再通向USAJMO或USAMO，并进一步衔接国际奥赛的集训体系。
| Competition 竞赛 | Eligibility 参赛资格 | Questions 题量 | Time 时长 | Scoring 计分 | Max 满分 |
| AMC 8 | Grade 8 and below, under 14.5 years old 8年级及以下，未满14.5岁 |
25 | 40 min | 1 point each, no penalty 每题1分，答错不扣分 |
25 |
| AMC 10 | Grade 10 and below, under 17.5 years old 10年级及以下，未满17.5岁 |
25 | 75 min | 6 correct, 1.5 blank, 0 wrong 答对6分，空题1.5分，答错0分 |
150 |
| AMC 12 | Grade 12 and below, under 19.5 years old 12年级及以下，未满19.5岁 |
25 | 75 min | Same as AMC 10 与AMC 10相同 |
150 |
| AIME | Invited qualifiers only 仅限晋级选手 |
15 | 3 hours | 1 point each, integer answers 0-999 每题1分，答案为0-999的整数 |
15 |
The AMC 10 and AMC 12 share the same scoring system, but their syllabuses differ. AMC 10 deliberately excludes trigonometry, logarithms, complex numbers and more advanced algebra, while AMC 12 includes all of them.
AMC 10与AMC 12的计分方式相同，但考纲不同。AMC 10刻意不考三角函数、对数、复数以及更深入的代数内容，而AMC 12全部包含。
Both AMC 10 and AMC 12 are offered twice each November, as an A date and a B date. A student may sit both papers, and a grade 10 student is allowed to take AMC 12 as well.
AMC 10与AMC 12每年11月各有A、B两场。学生可以两场都参加，10年级学生也有资格同时报考AMC 12。
3. Grades 1-3: Number Sense, Patterns and Play | 1-3年级：数感、规律与游戏
In the first three years there is no AMC preparation at all. The goal is fluency with numbers up to 1000, mental arithmetic, an instinct for patterns, and spatial reasoning through building, folding, tangrams and simple puzzles.
前三年完全不需要做AMC备考。目标是对1000以内的数运算熟练、具备心算能力、对规律有直觉，并通过搭建、折纸、七巧板和简单谜题发展空间推理。
Children at this stage learn best through games with a clear win condition. Number puzzles, chess, sudoku, card games and simple logic riddles develop the habit of thinking before calculating, which is exactly what later competition problems demand.
这个阶段的孩子通过有明确胜负的游戏学得最快。数字谜题、国际象棋、数独、扑克牌游戏和简单逻辑题，能培养先思考再计算的习愤，而这正是后来竞赛题所要求的。
Parents should avoid teaching acceleration algorithms too early. A child who memorises shortcuts without understanding place value will hit a wall at fractions and ratios in grade 4 or 5.
家长应避免过早教授加速算法。没有理解位值概念就背下捷径的孩子，会在4、5年级的分数与比的学习中撞墙。
4. Grades 4-5: The First Real Competition Steps | 4-5年级：迈出竞赛第一步
Grades 4 and 5 are the bridge years. Arithmetic fluency should be complete, and fractions, decimals, percentages and ratios should be understood conceptually rather than as procedures. This is also the natural moment for a first external competition.
4、5年级是过渡年。四则运算的熟练度应当完成，分数、小数、百分数与比应当从概念上理解，而不是当成一套操作流程。这也是第一次参加外部竞赛的自然时机。
Suitable first contests include Math Kangaroo, MOEMS and other short-answer contests that reward reasoning rather than speed alone. A grade 5 student who meets the age requirement may also sit AMC 8 purely for experience, with no expected score.
适合入门的比赛包括Math Kangaroo、MOEMS等以短答案为主、重视推理而非纯速度的竞赛。满足年龄要求的5年级学生也可以纯粹为了体验去考一次AMC 8，不必设定分数预期。
Two habits should be established in these years: keeping an error notebook, and reading a problem twice before writing anything. Both save enormous time later at AMC 10 level.
这两年要建立两个习惯：一是错题本，二是动笔前把题目读两遍。这两个习惯在AMC 10阶段能节省大量时间。
- Daily: 15 minutes of mental arithmetic and number puzzles.
每日：15分钟心算与数字谜题。 - Weekly: one set of 10-15 reasoning word problems with full written solutions.
每周：一套10-15题的推理应用题，需写出完整过程。 - Monthly: one timed mini-contest of 20-30 minutes.
每月：一次20-30分钟的限时小型测试。
5. Grades 6-7: Pre-Algebra and the AMC 8 Target | 6-7年级：前代数与AMC 8目标
Grades 6 and 7 are when systematic AMC 8 preparation begins. The core topics are ratios and proportions, percentages, counting with casework, divisibility rules, areas and perimeters, the Pythagorean theorem and simple linear equations.
6、7年级是系统准备AMC 8的开始。核心考点包括比与比例、百分数、分类计数的组合问题、整除性规则、面积与周长、勾股定理以及简单的一次方程。
A realistic target for grade 7 is the AMC 8 Honor Roll, roughly the top 5 percent of participants, which usually means 17 to 19 correct answers out of 25. Grade 6 students should focus on accuracy and finishing the paper without blank guessing.
7年级的现实目标进入AMC 8荣誉榜（约前5%），通常相当于25题中对17-19题。6年级则应专注准确率，做到能在不靠猜测的情况下完整答完试卷。
Counting problems are the biggest source of lost marks at this level. Students should learn to organise cases systematically instead of trying to spot a single clever trick, and should be able to use two standard tools fluently.
这一阶段失分最多的是计数题。学生应学会系统分类讨论，而不是一味寻找
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