So far, we have covered two chapters: Negative Numbers and Percentages (Part 2).

我们本学期已经覆盖了负数和百分数（二）的内容。

The content on negative numbers was designed to engage students by using historical and real-life examples, allowing them to understand negative numbers in concrete contexts. Through activities such as temperature forecasts and comparing income and expenses in electronic bills, students further grasped the concept of using positive and negative numbers to represent opposite quantities in real-life situations. They also learned how to read and write positive and negative numbers and understand their meanings in specific contexts.

在学习负数内容时，我们选择了学生感兴趣的历史和现实素材，在具体的情境中认识负数。通过气温预报以及电子账单中收入和支出的对比，学生进一步体会生活中用正负数表示的意义，并知道了正负数的读写方法以及在具体情境中所表示的含义。

The content of Percentages (Part 2) was taught after students had already learned how to apply percentages to solve real-world problems. The main objective was to further enhance students' understanding of the method for determining a number when its percentage is known. The focus was also on helping students comprehend the significance of discounts and understand the quantitative relationships involved in solving discount application problems.

学生学习了运用百分数解决实际问题，进一步掌握解答“已知一个数的百分之几是多少，求这个数”问题的方法，使学生理解折扣的意义，懂得求折扣的应用题的数量关系。

During the teaching process, in order to better assist students in understanding and mastering the knowledge, as well as enhancing their problem-solving abilities, various resources and tools were utilised. These included targeted online resources from platforms like IXL, timed training exercises from Jingyou, interactive math games like Kahoot, and timely assistance and personalised guidance provided after class. As a result, students made significant progress and improvement.

为了更好地帮助同学们理解和掌握知识，并提升同学们解决问题的能力，借助IXL在线针对性系统资源、菁优网限时训练、Kahoot 数学游戏以及课后的及时性辅助和个性化指导，同学们获得了很大的进步和提升。

G7 students are currently immersed in two interesting math units: intersecting lines and parallel lines, and the Cartesian coordinate system. These two units are like "GPS" in mathematics, teaching us how to find directions in the world of geometry!

七年级的学生现在正沉浸在两个有趣的数学单元里：相交线与平行线、平面直角坐标系。这两个单元都像是数学里的“GPS”，教我们如何在几何世界里找到方向！

Intersecting lines and parallel lines sound like a party for lines! Some lines are good friends walking side by side (parallel lines), while others embrace each other warmly (intersecting lines). This is not just a geometry game. Just think about it, architects rely on these concepts to design buildings and ensure they don't "collide"! And what about the Cartesian coordinate system? It's like sending "address cards" to geometric shapes! Each point has its own unique coordinates, so they never get lost anymore. Just like finding a restaurant on a map, with coordinates, you can easily locate any corner of the geometric world!

相交线与平行线，听起来就像是直线们在开派对！有的直线是好朋友并肩而行（平行线），有的直线则热情相拥（相交线）。这不仅仅是几何游戏，想想看，建筑师们得靠这些来设计大楼，确保它们不会“撞车”哦！而平面直角坐标系呢？就像是给几何图形们发的“地址卡”！每个点都有了自己的专属坐标，再也不怕迷路了。就像你在地图上找餐厅一样，有了坐标，几何世界里的任何角落都能轻松找到！

G8 students are now embarking on a magical mathematical adventure, exploring the mysteries of "quadratic radicals"! In this unit, they not only deal with square roots but also play a game of "hide and seek" with a bunch of seemingly complex numbers and expressions. But don't worry, this is not a dull task! On the contrary, it's more like an exciting mental stimulation and thinking challenge!

八年级的学生们踏上了一场神奇的数学探险之旅——探索“二次根式”的奥秘！在这个单元里，他们不仅要和根号打交道，还得跟一堆看似复杂的数字和式子玩“捉迷藏”。但别担心，这可不是什么枯燥无味的任务！相反，这更像是一场刺激的脑力激荡和思维挑战！

Imagine quadratic radicals as a shared fruit platter in the kingdom of mathematics. It may look a bit complicated, but once you grasp its patterns, you can taste the sweetness! Students, like little explorers, constantly discover secret passages and hidden connections between numbers and expressions during their learning process. They learn how to cleverly simplify radical expressions, like wielding a magic wand to transform a pile of messy numbers into a concise and orderly form.

想象一下，二次根式就像是数学王国里的那盘大家共享的果盘拼盘，看起来有点复杂，但一旦你掌握了它的规律，就能品尝到甜美的滋味！同学们在学习的过程中，就像是小探险家一样，不断发现数与式之间的秘密通道和隐藏关联。他们学会了如何巧妙地化简根号表达式，就像是用魔法棒一样，把一堆杂乱的数字变成了简洁有序的形式。

Moreover, this knowledge is not just for passing exams! In real life, quadratic radicals are great contributors! For example, in construction sites, engineers rely on them to ensure the stability and precision of buildings. In physics laboratories, scientists use them to describe and explain the laws of motion in the natural world. Therefore, while learning quadratic radicals, eighth-grade students not only exercise their brain's thinking abilities but also lay a solid foundation for becoming "magicians" in various fields in the future! Let's look forward to their abundant knowledge and fun in this mathematical adventure!

而且，这些知识可不是为了应付考试才学的哦！在现实生活中，二次根式可是个大功臣！比如，在建筑工地上，工程师们得靠它来确保建筑物的稳固性和精确度；在物理学实验室里，科学家们借助它来描述和解释自然界中的运动规律。所以，八年级的同学们在学习二次根式的过程中，不仅锻炼了自己的大脑思维能力，还为将来成为各行各业的“魔法师”打下了坚实的基础！让我们一起期待他们在这场数学探险中收获满满的知识和乐趣吧！