关于数学进度，下面是我问gemini得到的： Middle School Math Middle school math (grades 6-8) is a foundational period that transitions students from basic arithmetic to algebraic thinking. Grade 6: Students typically focus on concepts like ratios and proportions, a deeper understanding of fractions and decimals, and an introduction to expressions and equations. They also expand their knowledge of geometry, including area, surface area, and volume. Grade 7: The curriculum builds on these concepts, introducing more complex equations and inequalities, as well as working with negative numbers (integers). Students also learn about probability and statistics. Grade 8: This grade often serves as a preparatory course for high school math. The main course is often called Pre-Algebra or Math 8. It solidifies concepts of linear relationships, functions, the Pythagorean theorem, and an introduction to solving more advanced equations, preparing students for Algebra I. Some advanced students may take Algebra I in eighth grade High School Math Most high schools require students to complete three or four years of math to graduate. The standard sequence is: Algebra I: This is the first high school-level math course, typically taken in 9th grade (or 8th for accelerated students). It introduces variables, linear equations, inequalities, and functions. It's considered the gateway to higher-level math. Geometry: This course, usually taken in 10th grade, focuses on the properties of shapes, proofs, and spatial reasoning. Topics include Euclidean geometry, parallel lines, triangles, circles, and trigonometry basics. Algebra II: Building on Algebra I, this course delves into more complex functions, including quadratic, polynomial, exponential, and logarithmic functions. It also includes trigonometry and complex numbers. This is often considered a prerequisite for Precalculus. Precalculus: Typically taken in the senior year, this course prepares students for calculus. It covers advanced topics like trigonometry, vectors, series, and sequences. Calculus or Statistics: For their final year, students have a choice. The most common advanced courses are AP Calculus AB/BC (for students pursuing STEM fields) or AP Statistics (for students interested in social sciences, business, or other fields that use data analysis). 所以为了高中可以集中精力修 AP classes，初中需要修完 Pre-AlgebraGeometryAlgebra I & IIPrecalculus 这样看来进度很紧啊。提前修这些课可以自己跟学校申请吗？那是不是课外的russian math， aops都可以drop了？否则哪有时间学这么多？
招猫抵狗 发表于 2025-08-18 21:01 关于数学进度，下面是我问gemini得到的： Middle School Math Middle school math (grades 6-8) is a foundational period that transitions students from basic arithmetic to algebraic thinking. Grade 6: Students typically focus on concepts like ratios and proportions, a deeper understanding of fractions and decimals, and an introduction to expressions and equations. They also expand their knowledge of geometry, including area, surface area, and volume. Grade 7: The curriculum builds on these concepts, introducing more complex equations and inequalities, as well as working with negative numbers (integers). Students also learn about probability and statistics. Grade 8: This grade often serves as a preparatory course for high school math. The main course is often called Pre-Algebra or Math 8. It solidifies concepts of linear relationships, functions, the Pythagorean theorem, and an introduction to solving more advanced equations, preparing students for Algebra I. Some advanced students may take Algebra I in eighth grade High School Math Most high schools require students to complete three or four years of math to graduate. The standard sequence is: Algebra I: This is the first high school-level math course, typically taken in 9th grade (or 8th for accelerated students). It introduces variables, linear equations, inequalities, and functions. It's considered the gateway to higher-level math. Geometry: This course, usually taken in 10th grade, focuses on the properties of shapes, proofs, and spatial reasoning. Topics include Euclidean geometry, parallel lines, triangles, circles, and trigonometry basics. Algebra II: Building on Algebra I, this course delves into more complex functions, including quadratic, polynomial, exponential, and logarithmic functions. It also includes trigonometry and complex numbers. This is often considered a prerequisite for Precalculus. Precalculus: Typically taken in the senior year, this course prepares students for calculus. It covers advanced topics like trigonometry, vectors, series, and sequences. Calculus or Statistics: For their final year, students have a choice. The most common advanced courses are AP Calculus AB/BC (for students pursuing STEM fields) or AP Statistics (for students interested in social sciences, business, or other fields that use data analysis). 所以为了高中可以集中精力修 AP classes，初中需要修完 Pre-AlgebraGeometryAlgebra I & IIPrecalculus 这样看来进度很紧啊。提前修这些课可以自己跟学校申请吗？那是不是课外的russian math， aops都可以drop了？否则哪有时间学这么多？
老大开学6年级，除了上学做老师布置作业，和上Russian math 一周一次的课，课后班都是强身健体打酱油的，没有其他推娃的措施
有啥推娃指南，每个年级达到啥里程碑啥的总结吗？
不懂推娃，娃也大概率推不动，好歹就是看看如果要达到大学申请POOL 里的top 5-10% 那个级别，学生需要达到些啥条件？6年级开始每年要做些啥准备？
焦虑成这样
升学达人 帮不了你
可能需要 准备看心理医生 更靠谱，至少 准备一下，这是个 option , 以防万一
高校的summer school 初中生不能参加吗
用不着这么mean 就是不懂什么是正常进度，什么是过度的推娃，才会在这里问
你懂的话在这里真诚回答，会比骂人过嘴瘾更有人品。
ai时代，是不是reading writing不好推了？交个写作的sample去竞赛，谁知道是不是根据prompt ai 生成的？
真正reading writing好的都不是靠上兴趣班的
有学校有初中的，比如NYU有给stem初中娃的。但我不知道这种是不是local的福利。你去打听一下。我们家打算高二和高三的暑假去。
之前没有学和练，怎么可能高中能去参加比赛呢？校队根本进不去啊
田径队一般来者不拒
初中要修完哪些数学课？
的确， 见到的写作好的娃 都是从小开始阅读量极大的。 到了大学申请季， 大批量写 essay 的时候， 写作好的和一般的 那差距一下就看出来
我朋友家去的田径队，据说没人去。说除了费鞋，也没啥别的消费，以前认识一个家长，高中去的网球队，因为网球牛娃们都去校外的club训练去了，她去的勤快，还得了个校队的MVP，她后来还去了一个D3的学校。
靠tennis去的D3啊？ 那不可能高中前没练网球吧。
我们卷区初中一年级基本上所有学校俱乐部都需要try out，没有小学童子功的根本没机会参与学校的这些活动。
田径是来者不拒，但是没有出成绩的这个除了给完全没体育的娃强身健体，对升学没啥用吧。咋不是说升学没用就不去哈，只是纯讨论有没有用这点。
Grade 6: Students typically focus on concepts like ratios and proportions, a deeper understanding of fractions and decimals, and an introduction to expressions and equations. They also expand their knowledge of geometry, including area, surface area, and volume. Grade 7: The curriculum builds on these concepts, introducing more complex equations and inequalities, as well as working with negative numbers (integers). Students also learn about probability and statistics. Grade 8: This grade often serves as a preparatory course for high school math. The main course is often called Pre-Algebra or Math 8. It solidifies concepts of linear relationships, functions, the Pythagorean theorem, and an introduction to solving more advanced equations, preparing students for Algebra I. Some advanced students may take Algebra I in eighth grade
High School Math Most high schools require students to complete three or four years of math to graduate. The standard sequence is: Algebra I: This is the first high school-level math course, typically taken in 9th grade (or 8th for accelerated students). It introduces variables, linear equations, inequalities, and functions. It's considered the gateway to higher-level math. Geometry: This course, usually taken in 10th grade, focuses on the properties of shapes, proofs, and spatial reasoning. Topics include Euclidean geometry, parallel lines, triangles, circles, and trigonometry basics. Algebra II: Building on Algebra I, this course delves into more complex functions, including quadratic, polynomial, exponential, and logarithmic functions. It also includes trigonometry and complex numbers. This is often considered a prerequisite for Precalculus. Precalculus: Typically taken in the senior year, this course prepares students for calculus. It covers advanced topics like trigonometry, vectors, series, and sequences. Calculus or Statistics: For their final year, students have a choice. The most common advanced courses are AP Calculus AB/BC (for students pursuing STEM fields) or AP Statistics (for students interested in social sciences, business, or other fields that use data analysis).
所以为了高中可以集中精力修 AP classes，初中需要修完 Pre-Algebra Geometry Algebra I & II Precalculus
这样看来进度很紧啊。提前修这些课可以自己跟学校申请吗？那是不是课外的russian math， aops都可以drop了？否则哪有时间学这么多？
这个说的不错的。 如果找到了兴趣点，初中娃的进步是很快的。
很多学校都在网站上post她们的math pathways 你可以参考一下你们学区的 反正尽量让娃能在快班
不知道是不是靠tennis去的D3 college，我说的是她去了D3大学的网球队。她说在高中之前，只上过纽约市的免费网球课，家里没有出钱去过。
过来家长试着回答一下：小学有特长吗？绝大多数文体都是童子功，6年级的年龄，家长已经能完全看出娃是不是在文体上能走到顶端，如果不是，初中除了抓紧时间多玩多社交，剩下时间就好好读书，争取高中前裸考一个SAT or ACT给娃摸底，这样进入高中就能有的放矢的抓学习，同时利用初中的社交技能快速在高中加入各种团队跑龙套，时间长了，就能谋个位子发挥自己的特长。总而言之，如果不是文体特长生，在高中读书好是重点，其它是bonus，至于能进哪个大学，只有神知道。
ai写的文章，稍微文科好一点的人就看得出来。只有理工的看不出，还以为ai写的挺好。
数学想提前要自己教，aops你娃要是能学清楚 那么你列的那些根本不是问题。
GROK/GPT可以查到相关的AP，课外活动和比赛，还可以比较不同比赛/活动的含金量。 AI可以很好的推荐初中准备工作。
最重要的是开始建立一个独立的人设，安排一个合情合理的故事。这个故事可以根据后续发展改变，但至少要有。建议把你孩子年龄，各方面特点输入AI，让AI写一个大学申请的OUTLINE，就根据你孩子目前的特点，这个现在只是素描里的几道线条，每过一年会添加更多细节，但至少要知道你孩子未来的模板。
朋友家的电竞+数竞小中，进了CS强校。
小时候太淘气，有人建议测智商，测出来家长没想到是相当的高。
朋友说是放养，我比较相信，因为朋友自己喜欢玩的那种人， 怀孕的时候还去听重金属摇滚音乐会。
早试错，发现擅长的，向着擅长的方向发展。
那必须是网球D3 recruit, 也得是很高水平的。
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Ivy文科教授们都说完全没法阻止跟分辨学生用AI写的作业，最后只能默认大家都会用AI辅助，评判标准各种都得更改，他们都很头痛，但只能适应新技术的发展
AI写文章爱用的词语和顺序是非常有规律的。他们说的是无法铁证，所以不能阻止吧。教授心里明白的也不能100%判人有罪。
这个很中肯，数学要反推，高中8年级要学完代数2，7年级上几何，6年级要代数1学完吧，越往前越容易自己学，或跳级，pre-cal 就不要跳了。阅读一直要坚持，到时候考SAT，AP英语，历史的时候不会这么艰难。EC都是为高中做准备，看自己擅长什么了。
那就是有运动天赋那种人吧。她俩孩子现在跳水也很不错。她真的管得严，小学毕业的娃压根儿没有screen time。
这是什么逻辑？怎么从前面的课程介绍得到后面结论的？ 高中有4年，不是一年。 要在高中修calculus，只要11年级修完pre calc就好了。层主是怎么得出初中就得修完pre calc的结论的？ 初中学完pre calc，高中学啥？高中只学一年数学？ 别跟我说什么线代微分方程的，这些课95%的学校开不出来。
Mark
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喜欢玩，和推不推娃没什么关系吧。 层主还停留在推娃的都是木讷的书呆子啊。
现在精英人设都是学霸事业有成，全世界玩，同时能上山下海，健身跑马，玩极限运动，爱摇滚听演唱会。这些人推娃都是一等一的。