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掌握三角函數:幾何和 PreCalc 中的重要主題
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課堂經歷
英語程度 - 未知
遵循 Teacher-Created 課程
與 Advanced Placement (AP) Standards對齊
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...
12 lessons//6 Weeks
Week 1Lesson 1Introduction to TrigonometryHistory and applications of trigonometry Angles and their measurement (degrees and radians) The unit circle and its importanceLesson 2Trigonometry FunctionsDefinitions of sine, cosine, tangent, and their reciprocals (cosecant, secant, cotangent) Values of trigonometric functions for special anglesWeek 2Lesson 3Graphing Trigonometry FunctionsGraphs of sine, cosine, and tangent functions Amplitude, period, phase shift, and vertical shiftLesson 4Trig Identities and EquationsFundamental identities (Pythagorean, reciprocal, quotient identities) Sum and difference formulasWeek 3Lesson 5Solving Trig EquationsTechniques for solving basic trigonometric equations Using identities to solve more complex equationsLesson 6Inverse Trig FunctionsDefinition and properties of inverse trigonometric functions Solving equations involving inverse trigonometric functionsWeek 4Lesson 7Law of Sines and CosinesLaw of Sines and Law of Cosines Solving real-world problems involving right and oblique trianglesLesson 8Polar Coordinates and Complex NumbersPolar coordinates and their relationship to Cartesian coordinates Trigonometric form of complex numbersWeek 5Lesson 9VectorsIntroduction to vectors and their properties Dot product and its applicationsLesson 10Periodic FunctionsModeling periodic phenomena with trigonometric functions Harmonic motionWeek 6Lesson 11Analytic TrigonometrySum-to-product and product-to-sum formulas Trigonometric form of equations and inequalitiesLesson 12Final ReviewComprehensive review of all topics covered Strategies for solving complex problems
- 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.
- Apply trigonometric identities and solve trigonometric equations. Use trigonometry in real-world applications and problem-solving.
0 - 1 每週課外時間
Homework
頻率: 包括回饋: 包括細節: Homework will be handed out at the end of each session for students to practice.
除了 Outschool 教室外,本課程也使用:
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團體課
US$60
每週或US$360 用於 12 課程每週上課 x 2 次, 6 週
30 分鐘
即時視訊會議
年齡: 11-16
4-10 每班學員人數