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掌握三角函數:幾何和 PreCalc 中的重要主題

在這個 12 堂課的課程中,我們將解決有關三角學主題的所有知識,從基礎知識到擴展,再到求解方程式、極座標、向量和複數。
Dr. Wang, Ph.D., Math and Physics
平均評分:
4.8
評論數量:
(17)
班級

包含什麼

12 現場會議
6 上課時間
作業
每週 1 小時. Homework will be handed out at the end of each session for students to practice.
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課堂經歷

英語程度 - 未知
Class Format:
This Outschool class on trigonometry will be conducted live via an interactive online platform. Each session will include a combination of lectures, discussions, practice problems, and hands-on activities to ensure a thorough understanding of trigonometric concepts. The class is designed to be engaging and interactive, with plenty of opportunities for students to ask questions and participate in discussions.

Class Activities:
Interactive Lectures:

Each class will begin with a concise lecture on the day's topic, utilizing visual aids, such as slides and diagrams, to explain key concepts.
The instructor will use real-time polls and questions to keep students engaged and to gauge their understanding.

Collaborative Problem-Solving:

Students will work in small groups to solve practice problems. This will encourage peer learning and help students to articulate their thought processes.
Group activities will include solving trigonometric equations, graphing functions, and applying trigonometry to real-world scenarios.
Hands-On Activities:

Use of online graphing tools (such as Desmos) to explore and visualize trigonometric functions and transformations.
Interactive simulations and games to reinforce learning in a fun and engaging way.

This class experience aims to create an interactive, supportive, and comprehensive learning environment that helps students master trigonometry concepts and apply them with confidence.
學習目標
Understand and apply the properties of angles and triangles.
Define and use the six trigonometric functions.
Solve right and oblique triangles.
Graph trigonometric functions and analyze their properties.
學習目標

教學大綱

課程
遵循 Teacher-Created 課程
標準
與 Advanced Placement (AP) Standards對齊
12 課程
超過 6 週
課 1:
Introduction to Trigonometry
 History and applications of trigonometry
Angles and their measurement (degrees and radians)
The unit circle and its importance 
30 分鐘線上直播課
課 2:
Trigonometry Functions
 Definitions of sine, cosine, tangent, and their reciprocals (cosecant, secant, cotangent)
Values of trigonometric functions for special angles 
30 分鐘線上直播課
課 3:
Graphing Trigonometry Functions
 Graphs of sine, cosine, and tangent functions
Amplitude, period, phase shift, and vertical shift 
30 分鐘線上直播課
課 4:
Trig Identities and Equations
 Fundamental identities (Pythagorean, reciprocal, quotient identities)
Sum and difference formulas 
30 分鐘線上直播課

其他詳情

外部資源
除了 Outschool 教室外,本課程也使用:
  • Desmos
已加入 March, 2024
4.8
17評論
教師檔案
教師專業知識和證書
Hello! I am Dr. Wang! I have a Ph.D. degree in Aeronautical Engineering from a top school in the United States. I have 10+ years of experience teaching classes to college students and high school students. I enjoy teaching STEM subjects to students of all ages. I especially focus on two subjects: Math and Physics. Class topics range from AP Physics C and Calculus BC to Honor Physics and Algebra. I teach with a lot of visual cues and graphing examples because I think those are always extremely helpful for students to understand different concepts. I am a super soccer fan. Nice to meet you all!

評論

現場團體課程
分享

US$60

每週或US$360 用於 12 課程
每週2次,共 6 週
30 分鐘

有2 位學習者完成此課程
即時視訊會議
年齡: 11-16
4-10 每班學員人數

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