Geometry marks an important transition from middle school mathematics to high school mathematics and plays a critical role in helping students improve their AMC 10 performance. It builds upon students’ prior knowledge of algebra, counting, probability, and number theory, while also being one of the most comprehensive and challenging courses in the AoPS Introduction-level series.

At the geometry stage, learning is no longer limited to memorizing formulas and applying them directly. Students must learn to integrate visual analysis, logical reasoning, and algebraic computation. Rather than simply calculating an answer, they need to understand the relationships among geometric figures and use those relationships to develop rigorous and well-rounded mathematical thinking.

Students who have gaps in their foundational knowledge may begin to struggle noticeably when they reach geometry. This is also why some students perform well on the AMC 8 but find it difficult to improve after moving on to the AMC 10. The AMC 10 requires a much higher level of skill in combining algebra and geometry, mathematical modeling, and logical reasoning.

Under the coach’s systematic guidance, students in this course will gradually master essential geometry concepts, problem-solving strategies, and proof-based thinking. They will overcome this important milestone in their mathematical learning journey and build a strong foundation for advanced coursework and future preparation for the AMC 10 and AMC 12.

All required course materials will be provided electronically. Parents do not need to purchase any additional materials.

MATHCOUNTS is one of the most influential middle school math competitions in the United States. Each year, students in Grades 6–8 compete through four levels: school or chapter, local, state, and national, with top students ultimately competing for the national championship title. As an official MATHCOUNTS partner organization, Aixue organizes students to participate in the MATHCOUNTS competition each year.

Our MATHCOUNTS training program is taught by experienced math coaches with a strong track record in competition preparation. Our coaches have served for many years as head coaches of state math teams, training students and leading teams to the National Final. They bring extensive expertise in both instruction and real competition strategy.

Course topics include:

• Arithmetic and Number Theory Strategies: fast techniques for multiples, factors, remainders, prime numbers, modular arithmetic, and more
• Algebra and Equation Solving: single-variable and multi-variable equations, inequalities, rates, ratios, and word-problem modeling
• Geometry and Spatial Reasoning: angles, area, volume, coordinate geometry, transformations, and composite figures
• Counting and Probability: permutations and combinations, probability calculations, tree diagrams, and logical reasoning
• Challenge Problems and Logic Puzzles: training students to analyze and break through high-difficulty problems
• Mock Competitions and Problem-Solving Strategies: building pacing and strategy for the Sprint Round and Target Round
• Countdown Round Buzzer Practice: dedicated timed mental-math and fast-response practice to improve students’ reaction speed, accuracy under pressure, and competition confidence

We also offers small-group and one-on-one MATHCOUNTS competition coaching. Interested parents are welcome to contact iLearning customer support (SMS or Whatsapp) for more information.

Our AMC classes are designed to help students build strong problem-solving skills, enhance logical thinking, and prepare for the challenges of competitive mathematics. Through guided instruction, students explore a wide range of math topics, including algebra, geometry, number theory, and combinatorics, while learning strategies to tackle complex problems efficiently.

Each class focuses on developing analytical thinking, improving speed and accuracy, and fostering a love for mathematics. Students engage with carefully selected practice problems, mock exams, and collaborative discussions to gain confidence and readiness for math competitions.

Whether aiming to boost performance on AMC contests or to strengthen foundational math skills, our AMC classes provide a structured, supportive, and challenging environment to help students achieve excellence.