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逐步学习解方程 — 所有高等数学的基础。
学习艺术家如何运用色彩来创造情绪、深度和意义：从色轮到大师作品。 [BLOCK_TYPE SECTION/STEP]
解码构建所有生命的分子：从细菌到蓝鲸。 [BLOCK_TYPE SECTION/STEP]
放大原子，探索为什么元素周期表是科学中最强大的速查表。 [BLOCK_TYPE SECTION/STEP]
编写你的第一个 Python 程序：print、变量、input 与逻辑。 [TITLE hello/]
A first tiny lesson for little ones about using helpers wisely. A helper can help us, and that is good, and we can still look and check with our own eyes.
A formal toolkit for telling truth from confident error. Work a base-rate problem by hand, separate correlation from causation, catch confirmation bias, and learn why a source stating something with total confidence is not evidence that it is right.
A first tiny seed of reading data. Count how many, tell more from less, and learn a fair way to compare two groups.
A rigorous framework for handing work to automated systems, catching their failures, and owning the result. For grades 9-12.
Learn how to tell whether something is actually true. Weigh evidence, check where a claim comes from, spot the correlation trap, and verify a surprising claim before you believe or share it.
Learn to turn a vague, fuzzy goal into sharp questions you can actually answer. A good question is half the answer.
Learn how a clear question helps you find out. Ask one thing at a time, use what and why and how, and break a big wondering into small questions you can check.
A first peek at knowing & guessing. Learn when we KNOW, when we GUESS, & that a good guess uses clues.
Learn the habit of asking "How do you know?" and how to check what is true with your own eyes, a book, or a trusted grown-up.
Discover what decades of memory science reveal about studying smarter: why testing yourself beats rereading, why spacing beats cramming, and why the hard way often teaches the most.
Learn four friendly tricks that help your brain remember spelling words, math facts, songs, and anything you want to keep.
Learn how we know something is true by looking, touching, and checking for ourselves.
Learn to make better decisions when you cannot know the outcome. Compute expected value, calibrate your confidence, catch decision biases, and tell a good decision from a lucky result.
The science of durable learning: why testing beats rereading, why harder study sticks, and how to tell real mastery from the feeling of it.
Learn to weigh your choices by their likely outcomes, tell a reversible decision from one you cannot undo, and see why a smart decision can still get unlucky.
Learn to judge how likely something is, use clues to decide, make good choices when you are not sure, and change your mind when you get new information.
A first peek at learning-how-to-learn. Your brain gets stronger when you practice, mistakes help you learn, and trying hard things helps you grow.
Learn to read a simple bar chart and pictograph, compare fairly, and spot a chart that tries to trick you.
Learn to read numbers and charts like a detective: spot a hidden spread, a truncated axis, a cherry-picked range, and a biased sample.
Learn to read a statistic the way a skeptic does. Judge the measure, the spread, the sample, the axis, and the claim, so correct numbers can never mislead you.
Answers are getting cheap. Learn the scarce skill: framing the right problem, surfacing hidden assumptions, and breaking a hard question into one you can actually settle.
Learn when a tool or helper makes you faster, why you should always check its answer, and when to do a job yourself so your brain stays sharp.
Wondering & asking questions is how we find things out. A first, warm look at good questions for little thinkers.
Automated systems shop, translate, map, and answer for us every day. Learn to use them like a smart tool, delegating the busywork while keeping the judgment and the final decision yourself.
算法在生活中无处不在——在你怎样整理玩具、找鞋子或快速吃完蔬菜的方式中。本课程在日常生活中发现算法，学习按颜色和大小分类，并发现有些搜索方式比其他方式快。
线性搜索逐个检查每一项。二分搜索跳到中间 & 每次将工作量减半。冒泡排序比较相邻项 & 交换它们。本课程通过数字和单词的实践例子，帮助学生理解为什么有组织的数据让计算机工作得更快。
Big O 符号描述了当输入增长时，算法的成本如何增长。O(N) 意味着输入翻倍时，工作量翻倍。O(N²) 意味着输入翻倍时，工作量增加四倍。这节课通过编程示例、对比表和实际成本计算来建立 Big O 的直觉——然后指向我们 unhamming 课程中的更深入学习。
大O描述最坏情况下的增长。Theta描述紧界。Omega描述最佳情况。空间复杂度跟踪内存，而不仅仅是时间。摊销分析将偶发的昂贵操作分散到一个序列中。本课程为分析任何算法构建形式化工具包。
列表按顺序存储项目。集合存储唯一项目以快速查找。在它们之间选择可以将你的程序从 O(N²) 改进到 O(N)。本课程建立了关于何时使用每种数据结构、它们的大O成本如何不同、以及如何组合它们解决真实问题的直觉。
保持双手清洁，制定合理菜单，使用长柄工具，并将食物残渣带走。在户外烹饪时，避免灼伤自己或引发森林火灾。 [BLOCK_TYPE SECTION/STEP]
理解设定每个价格的无形力量——从运动鞋到流媒体订阅。
审视气候变化的证据，理解其机制，并评估我们能采取的措施。 [BLOCK_TYPE SECTION/STEP]
选择安全的营地、风暴来临前解读云层、识别体温过低，以及分层穿衣。 [TITLE intro/]
Travel back 5,000 years to banks of the Nile & discover how one river built a civilization. [BLOCK_TYPE SECTION/STEP]
到处寻找颜色和形状！专为小学习者设计的第一课。 [BLOCK_TYPE SECTION/STEP]
方位基点、指南针读数、地形图，以及工具意见不一致时的荒野法则。 [TITLE intro/]
探索为什么大陆漂移、山脉隆起、地震发生、火山爆发——这一切都源于你脚下的引擎。
探索这个拥有2500年历史的公式，它连接了几何与现实世界——从建筑到GPS。
理解这份创建政府的文件——以及让它活了230多年的修正案。
确保现场安全、呼救、止血、冷却烧伤、陪伴患者。每个孩子都应掌握的五项技能。 [TITLE intro/]
来了解你神奇的身体吧！从头到脚，还有中间的每一个部分。
了解食物在你体内真正起到的作用，以及为什么最好的饮食方式比网络上说的要简单得多。 [TITLE intro/]
审视决定了人类历史上最大冲突的关键时刻——以及它留下的世界。
认识字母表！学习字母及其发音。 [BLOCK_TYPE SECTION/STEP]
Meet six Letter People and their sounds (s, a, t, p, i, n), then blend them into your very first words. A warm, playful first step into reading.
Meet six more Letter People and their sounds (m, d, g, o, c, k), then blend them into new words like dog and cat. A warm next step in your reading adventure.
Meet seven more Letter People and their sounds (e, u, r, h, b, f, l), the last two vowels and four more friends. Blend them into new words like bed, and hear their sounds all around you.
Meet the final Letter People (j, v, w, x, y, z) and the quiet team qu. Learn that Xeno Ox finishes words with /ks/ and Quincy Quail brings U to say /kw/. Then you will know all 26 Letter People!
You know all the Letter People sounds. Now practice the big reading trick: stretch three sounds slowly, then squish them into one word. Blend cat, sun, big, hot, and red.
Meet word families like -at, -an, -ig, and -op. Words in a family rhyme, and you only change the first sound to read a whole new word. A playful way to read groups of words fast.
Meet the star words, the friendly little words you just KNOW at a glance. Learn the, a, I, is, to, and, you, said, was, my, we, see, he, she by sight, and keep them in your pocket.
Two Letter People can hold hands and make ONE brand-new sound. Meet the team sounds sh, ch, and th, and read words like ship, chin, and this. A warm, playful step into digraphs.
Put it all together! Use your letter sounds, blending, and star words to read whole sentences for the very first time, then tell what each one means. The graduation lesson.
阅读并分析罗伯特·弗罗斯特的经典诗歌，探讨选择及其后果。
面对文学中最著名的问题——探索为什么一部400年前的古老剧作仍然与我们息息相关。
在你周围的世界中找到圆形、正方形、三角形和矩形。
学习点、直线、射线、角度，以及如何在形状中找到对称。
探索全等、相似、几何变换和三角学的基础。
计算二维形状的面积、三维立体的体积，并在坐标平面上绘制点。
通过现实世界的例子掌握分数——切披萨、分享糖果，以及向代数迈进。
和我们一起数！专为小朋友设计的第一堂数字课。 [BLOCK_TYPE SECTION/STEP]
高与低、响与轻、稳定节拍，以及温暖轻柔的气息：专为小小音乐家设计的第一堂音乐课，准备好吹奏竖笛。 [TITLE intro/]
掌握高音竖笛的全音域、叉口指法、吐音、气息控制，以及格里格《在山魔的宫殿里》的渐快演奏。 [TITLE intro/]
掌握直笛家族、移调、合奏读谱、巴洛克装饰音及调音技巧，并将这些音乐素养直接应用于管乐团木管声部。 [TITLE intro/]
学习如何握住竖笛、吹出温和的暖气，并演奏你的前三个音：B、A 和 G。 [TITLE intro/]
理解每首歌曲的基本要素——从巴赫到碧昂丝。
用哲学家在2500年间用来发现真理和识别荒谬观点的工具来磨练你的思维。
理解支配从落苹果到绕轨行星的所有现象的三条定律。
血圈、远离身体切割、为什么锋利胜过钝器，以及安全传递手法。 [TITLE intro/]
学习火三角，从小到大搭建火堆，选择安全地点，绝不留下半灭的火。 [TITLE intro/]
学习两个维系世界的绳结。平结用于连接，单套结用于打环。 [BLOCK_TYPE SECTION/STEP]
了解感受——开心、难过、生气、害怕——以及如何成为好朋友。
探索记忆与遗忘的科学，了解为什么你的大脑既神奇又不可靠。 [TITLE intro/]
Discover animals and their homes! From farms to oceans to jungles. [BLOCK_TYPE SECTION/STEP]
太阳、雨、雪和风！学习天气和四个季节。
通过大熊星座找到北极星，了解四季形成的原因，并将天空作为导航工具使用。 [TITLE intro/]
了解哪些植物是安全的，哪些应该远离。一定要先问大人！ [TITLE intro/]
探索细胞的工作原理：从细胞膜到线粒体，以及为什么每一种生物都依赖于它们。 [BLOCK_TYPE SECTION/STEP]
识别本地需求，设计可行方案，衡量真实影响，并反思你与他人发生了怎样的改变。 [TITLE intro/]
学习幸运背后的数学——从抛硬币到纸牌游戏再到预测天气。
像律师一样论证，像记者一样写作——用言语改变思想的艺术。
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