Trigonometry (Part 1) | Grade 9+

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What You Will Learn

Students will master the following components of Trignometry(part 1): Pythagorean Theorem and Special Triangles, and 6 trigonometric functions, Law of Sines and Cosines, Graphing trigonometric functions, Fundamental trigonometric identities, and Solving trigonometric equations.

Part 2 class will start in Fall 2021.

Keywords: Trignometry, Math


Design For 

Grade 9+

Math courses are level-based, not grade-based. For example, a very smart student can take any course as long as the prerequisites are met!



Pass algebra 2 with a grade of C- or better.


Course Overview

4 - 8



hours per class

Eastern Time

Friday, Saturday

1:00 - 3:00 p.m. ET 

Pacific Time

Friday, Saturday

10:00 a.m. - 12:00 noon PT
18 classes / meet twice a week
 6/25/2021- 8/21/2021 
6/25, 6/26, 7/2,
7/3, 7/9, 7/10,
7/16, 7/17,7/23,
7/24, 7/30, 7/31,
8/6, 8/7, 8/13, 8/14, 8/20, 8/21



Course Schedule

Note: The instructor will adjust the speed and amount of content covered depending on the needs of the students. The goal is to make sure that students are proficient in all areas covered – quality over quantity.

Day 1.  Pythagorean Theorem, Special Right Triangles, 6 Trigonometric Functions
Day 2. Finding Side and Angle, Measures and Applications
Day 3-4. Angles in Standard Position, Converting Degrees and Radians, Coterminial Angles, Reference Angles, The Unit Circle
Day 5. Law of Sines, Ambiguous Case
Day 6. Law of Cosines
Day 7. Mixed Law of Sines and Law of Cosines, Area of Triangles
Day 8. Graphing Trig Functions, Sin, Cos, Tan

Day 9. Graphing Trig Functions, Csc, Sec, Cot
Day 10.Translating Trig Functions, Phase and Vertical Shift
Day 11-12. Fundamental Trig Identities
Day 13-14. Sum and Difference of Angle Identities
Day 15-16. Double Angle and Half-Angle Identities
Day 17-18. Solving Tri Equations


*Prepare your own materials

  • scientific calculator
  • notebook
  • writing instruments
  • highlighter
All content materials will be provided by the instructor and will be uploaded to google classroom. Students must have the week’s material printed out before the start of class.



 Ruth L.


I’m not your ordinary middle school or high school math teacher. I’m a “mathemagician.” I can transform your students from hating math to loving it.
I surprise my students, using my juggling, sewing, and knitting skills to explain challenging math concepts, such as graphing, proportions, and patterns. Math is not hard when you apply it to real-world situations.
As a high school math teacher for 25 years, I’ve taught all levels from algebra to AP calculus.
I’m a “master teacher,” who trains college student teacher interns. 
I speak five dialects, read and write Chinese, and have a passion for global travel. For 13 consecutive years, I’ve led a highly successful global travel program, taking students to China, Japan, Korea, France, Germany, and Switzerland. I created a mentorship program for retired professionals to tutor and mentor at-risk students, consistently bringing grades from D’s and F’s to A’s and B’s. My students often come from at-risk, low-income families yet have gone on to study at Harvard, Stanford, UC Berkeley, UCLA, and Georgetown University to name a few.

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