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Trigonometry Mastery : Important Topic in Geometry and PreCalc

In this 12 session course, we will tackle everything there is to know about the topic of trigonometry, from the fundamentals to extensions to solving equations, polar coordinates, vectors and complex numbers.
Dr. Wang, Ph.D., Math and Physics
Average rating:
4.8
Number of reviews:
(17)
Class

What's included

12 live meetings
6 in-class hours
Homework
1 hour per week. Homework will be handed out at the end of each session for students to practice.

Class Experience

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.
Learning Goals
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.
learning goal

Syllabus

Curriculum
Follows Teacher-Created Curriculum
Standards
Aligned with Advanced Placement (AP) Standards
12 Lessons
over 6 Weeks
Lesson 1:
Introduction to Trigonometry
 History and applications of trigonometry
Angles and their measurement (degrees and radians)
The unit circle and its importance 
30 mins online live lesson
Lesson 2:
Trigonometry Functions
 Definitions of sine, cosine, tangent, and their reciprocals (cosecant, secant, cotangent)
Values of trigonometric functions for special angles 
30 mins online live lesson
Lesson 3:
Graphing Trigonometry Functions
 Graphs of sine, cosine, and tangent functions
Amplitude, period, phase shift, and vertical shift 
30 mins online live lesson
Lesson 4:
Trig Identities and Equations
 Fundamental identities (Pythagorean, reciprocal, quotient identities)
Sum and difference formulas 
30 mins online live lesson

Other Details

External Resources
In addition to the Outschool classroom, this class uses:
  • Desmos
Joined March, 2024
4.8
17reviews
Profile
Teacher expertise and credentials
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!

Reviews

Live Group Course
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$60

weekly or $360 for 12 classes
2x per week, 6 weeks
30 min

Completed by 2 learners
Live video meetings
Ages: 11-16
4-10 learners per class

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