Precalculus (Part 1) | Grade 9+

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What You Will Learn

Students will master the following components of Precalculus (part 1): Functions and Their Graphs, Polynomial and Rational Functions, Exponential and Logarithmic Functions. Part 2 class will start in Fall 2021.

Keywords: Precalculus, 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

Tuesday, Thursday

3:15 - 5:15 p.m. ET 

Pacific Time

Tuesday, Thursday

12:15 - 2:15 p.m. PT

18 classes / meet twice a week
 6/22/2021- 8/19/2021 
6/22, 6/24, 6/29, 7/1,
7/6, 7/8, 7/13, 7/15,
7/20, 7/22, 7/27, 7/29,
8/3, 8/5, 8/10, 8/12, 8/17, 8/19



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. Intercepts, Zeros, Critical points, and points of inflections, Increasing and decreasing intervals

Day 2. Continuity and End Behavior

Day 3. Tests for Symmetry, Even and Odd Functions

Day 4. Average rate of change

Day 5. Parent Functions and Transformations

Day 6. Graphing Functions

Day 7. Piecewise Functions

Day 8. Function Operations, and Compositions of functions

Day 9. Inverse Relations and Functions

Day 10. Graphing Polynomial Functions

Day 11. Zeros of Polynomials, Linear Functions, and Multiplicity

Day 12. Dividing Polynomials

Day 13. Graphing Exponential Functions and the Natural Base

Day 14. Transformations of Expontential Functions

Day 15. Exponential Growth and Decay Applications, Logistic Growth Functions

Day 16. Logs

Day 17. Properties of Logs

Day 18. Graphing Logs

Day 19-20. Solving Exponential 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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