Ascend Advanced Academy

Mathematics数学

Advanced Geometry进阶几何课程

Extends geometry into 3D shapes, transformations, analytic geometry, basic trigonometry, and formal proof - building the geometric depth needed for AMC 10/12 and beyond.将几何拓展至三维图形、变换、解析几何、基础三角学与形式化证明,培养 AMC 10/12 及更高阶竞赛所需的几何深度。

Course overview课程介绍

Advanced Geometry: Deepening Geometric Reasoning

Grade 8-10 | Competition Focus: AMC 10 / AMC 12 / AIME

This course extends Basic Geometry into the more advanced territory that AMC 10, AMC 12, and AIME problems demand. Students explore 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, and formal geometric proof - moving beyond visual intuition into rigorous, structured reasoning.

What students will develop

  • Ability to reason about and calculate with 3-dimensional shapes
  • Comfort applying transformations and analytic (coordinate) geometry
  • Foundational trigonometry skills applied to geometric problems
  • Skill constructing and following formal geometric proofs

Format: Small-group instruction with guided practice, extending Basic Geometry and preparing students for AMC 10, AMC 12, and AIME-level competition.

进阶几何课程: 深化几何推理能力

年级:八至十年级 | 竞赛方向:AMC 10 / AMC 12 / AIME

本课程在基础几何课程之上进一步拓展,帮助学生掌握 AMC 10、AMC 12 及 AIME 题目所需要的更高阶几何能力。学生将学习三维几何、几何变换、解析几何、基础三角学以及形式化几何证明--从直觉判断迈向严谨、结构化的逻辑推理。

孩子将获得的能力:

  • 能够对三维图形进行推理与计算
  • 熟练运用几何变换与解析(坐标)几何
  • 掌握应用于几何问题的基础三角学知识
  • 具备构建并跟随形式化几何证明的能力

课程形式:小班教学,配合针对性练习,在基础几何课程之上继续深入,为学生备考 AMC 10、AMC 12 及 AIME 竞赛做好准备。

Grade range年级
Grades 7-9Grades 7-9
Course fee per hour每小时课程费用
$60$60
Format授课方式
In Person or Online线下与线上
Total hours总课时
30 hours30 小时

What students develop学生能力目标

Diagram reasoningDiagram reasoning
Geometry foundationsGeometry foundations
Proof habitsProof habits

Current schedules and seats当前时间和名额

No confirmed schedule is available yet. Submit your availability below to help AAA form a new class.目前还没有已确认的课程时间。请在下方提交您的可用时间,帮助 AAA 组织新班。

Need a different course time?需要其他上课时间?

Compare availability or submit your own.查看其他家庭的可用时间,或提交您的时间意向。

The options below are anonymous requests for this course only. Joining a compatible option helps AAA identify a group of at least 4 students. An availability request is not registration, does not reserve a seat, and requires no payment.以下为本课程的匿名时间意向。加入兼容的时间有助于 AAA 找到至少 4 位学生组成新班。提交时间意向不等于正式报名,不预留名额,也无需付款。

No availability has been submitted for this course yet. Be the first family to suggest a time.目前还没有家庭提交这门课程的可用时间。您可以成为第一个建议时间的家庭。