Precalculus (Part 1) | Grade 9+
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! *Prerequisite Pass algebra 2 with a grade of C- or better. Course Overview 4 - 8 students 2 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 Materials *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. Instructor Ruth L. Mathemagician 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. more Ms.Ruth's Courses