初高中数学加强班

三角学教学大纲

第一期

• Angle Measures in Standard Position
  Radian Measure
  Standard Position and Coterminal Angles
• Exploring Periodic Data
  Periodic Functions
  Graphs and the Sine Function
• Angular and Linear Velocity
  Reference Triangles
• The Unit Circle
  Reciprocal Trigonometric Functions
• Trigonometric Graphs and Transformations
  Writing Trigonometric Functions
  Graphs of Reciprocal Trigonometric Functions
• Applications of Trigonometric Functions
  Writing Functions and Evaluating with Graphs
• Inverse Cosine Function
  Inverse Sine Function
  Inverse Tangent Function
• Writing and Solving Trigonometric Equations
  Reference Angles and Trigonometric Equations
• Trigonometric Identities
  Pythagorean identity
  trigonometric identity
  Simplifying Trigonometric Expressions
  Verifying Trigonometric Identities
• Confutation Identities
  Solving Trigonometric Equations

第二期

• Exploring Trigonometric Functions
  Sum and Difference Identities
• Using Identities to Solve Equations
• Modeling with Trig Functions
  Law of Cosines
  Law of Sines
  The Ambiguous Case
• Polar Grids
  Polar and Rectangular Coordinates
  Polar Functions and Curves
  Polar Equations
  Rectangular and Polar Form
  Types of Polar Curves
• Parametric Equations
  Writing Parametric Equations
  Converting Parametric Equations
  Projectile Motion
• Introduction to Vectors
  Operation with Vectors
  Vector Components
  Rectilinear Motion
  Planar Motion
• Sequences and Subscript Notation
  Arithmetic Sequences and Series
  Identifying Geometric Sequences and Series
• Finite Geometric Sequences and Series
  Infinite Geometric Sequences and Series
• Mathematical Induction
  The Binomial Theorem
  Functions as Infinite Series
• Parabolas and Conic Sections
  Graphs and Equations of Parabolas
  Ellipses
  Hyperbolas
  Solving Nonlinear system of equations

第三期 Applied Trigonometry

• Sum and Difference Identities
• Double-Angle / Half Angle Identities
• Product-to-Sum Identities
• Trigonometric Equations
• Applications of Right Triangles
• Applications (Continued)
• Law of Sines
• Law of Cosines
• Polar Coordinates
• Polar Coordinates (Continued)

上课规则

在上课前，请您确保和孩子做好以下的准备，以免耽误上课。

• 家长们协助孩子安装上课软件 Zoom，协助孩子调试设备，方便进行线上学习。
• 上课前请家长确认电脑或 iPad 的充电状态，以防临时没电。
• 上课期间请尽量保持家里环境的安静。
• 上课时学生 Zoom 镜头必须打开，让老师能看到学生。
• Zoom 的名字必须是报名上课孩子的名字，课堂只限已报名学生，否则老师将会要求离开课室进行调整。
• 让孩子熟悉使用 Zoom 的静音，Chat，和举手的功能。
• 为保证课程顺利进行，工作人员将参与上课，进行协助和监督。
• 请家长监督孩子完成作业，按时在 Google Classroom 里提交给老师。

退费规则

• 报名后无法成班将全额退款
• 第一节课开始之前可以全额退款
• 第一节课结束后可以退课（扣除第一节课的费用），剩余课时费作为积分退回账户；也可以安排换课。
• 第二节课之后就不能退课也不能再换课。
• 因学生原因导致缺课将提供录像，不能退费或者退积分

联络客服

如果您对课程或老师有任何疑问，欢迎您通过以下方式联系客服。

• 电子邮件：pipamagschool@gmail.com
• 热线电话：+1 972-696-9539‬