G7 Course

Our G7 course offers comprehensive coverage of core school mathematics knowledge while integrating specialized AMC 10 competition training. It aims to enhance students' mathematical abilities and logical thinking, preparing them for future academic challenges and math competitions. The curriculum encompasses key areas such as algebra, geometry, number theory, combinatorics, and probability.

In the algebra section, students will dive into solving quadratic equations, analyzing the graphs of quadratic functions, performing polynomial operations and factorization, and mastering the solutions and applications of systems of linear equations and inequalities. In the geometry module, the course explores the properties and transformations of triangles and circles, including criteria for congruence and similarity, and teaches students how to calculate the volume and surface area of common geometric solids. The number theory section focuses on prime factorization, applications of greatest common divisors (GCD) and least common multiples (LCM), as well as the fundamentals of congruence and modular arithmetic. Meanwhile, through the study of permutations, combinations, and probability theory, students will deepen their understanding of counting and probability, helping them tackle complex problems with confidence.

Throughout each topic, the course integrates classic AMC 10 problems to familiarize students with competition questions. By analyzing and discussing these problems, students will learn how to apply their knowledge to solve challenging competition-level questions. To further prepare them, the course includes regular AMC 10 mock tests, focusing on improving both familiarity with the question types and solving speed. Additionally, students will be taught essential problem-solving strategies, such as case analysis, constructive methods, and reverse thinking.

This course emphasizes both skill development and conceptual understanding through exploratory teaching, encouraging students to unleash their mathematical potential and enhance their analytical and problem-solving abilities when facing complex challenges.

Our program not only ensures that students master ninth-grade mathematics but also strengthens their performance in the AMC 10 through systematic competition training. Whether in school studies or math competitions, students will achieve outstanding results and build a solid foundation for higher-level academic challenges in the future.

我们的 G7 课程全面覆盖校内核心数学知识，同时融入 AMC 10 竞赛的专项训练， 旨在提升学生的数学能力和逻辑思维，为未来的学术挑战和数学竞赛做好准备。 课程内容涵盖代数、几何、数论、组合数学与概率等关键领域。在代数部分，学 生将深入学习二次方程、二次函数的求解与图像分析，多项式的运算与因式分解， 以及线性方程组与不等式的解法与应用。在几何模块中，课程将探讨三角形、圆 的性质与变换，结合全等与相似的判定方法，并学习常见几何体的体积与表面积 计算。数论部分则专注于质因数分解、最大公因数与最小公倍数的应用，以及同 余与模运算的基础知识。同时，课程将通过排列组合和概率论的讲解，提升学生 对计数与概率的理解，帮助他们应对复杂问题。 在每个知识模块的教学中，课 程将穿插 AMC 10 的经典题目，通过题目解析与讨论，使学生掌握如何将所学知 识应用于竞赛。为确保学生熟悉竞赛题型并提升解题速度，课程中还将设置定期 的 AMC 10 模拟测试，并讲授分类讨论法、构造法与逆向思维等常用解题策略。 此外，课程注重思维与技巧的并重培养，通过探索式教学，激发学生的数学潜能， 提升他们面对复杂问题时的分析与解决能力。 本课程不仅帮助学生扎实掌握九 年级数学知识，还通过系统的竞赛训练增强他们在 AMC 10 中的表现。无论是在 校内学习还是数学竞赛中，学生都能取得卓越成绩，并为未来更高水平的学术挑 战奠定坚实的基础。