Course Description: This will be a college preparatory course that will cover all the main concepts required for a high school credit in Algebra II as well as preparing the student to excel in future mathematics courses and standardized tests. Emphasis is placed on the interconnectivity of topics as well as continual review of previous topics in the course and previous courses.
Topics included are:
- Functions: graphing, modeling, transforming and solving applications of linear, quadratic, power, radical, exponential, logarithm, polynomial and trigonometric functions
- Matrix operations and transformations: size, scale, reflections, rotations, translations
- Solving Systems of equations and Inequalities: graphing, linear combination, substitution, matrices, and linear programming
- Trigonometry: right triangle, Laws of Sines and Cosines, unit circle and radians
- Conic Sections: Parabolas, circles, ellipses, hyperbolas
- Probability and Series: arithmetic and geometric series, counting, permutations and combinations, Pascal’s Triangle and probability with the Binomial Theorem, binomial and normal distributions
Prerequisites: Successful completion of Algebra I and Geometry and instructor approval. Students must complete an application and be approved before registering. The well-prepared applicant will have completed a basic algebra course and geometry course and is familiar with those fundamental concepts. They should have the maturity to diligently complete the assigned homework and seek additional help when needed. Learning how to learn mathematics is stressed in this course, so students who are motivated to improve should apply.
Course Length: 34 weeks
Course Begins: Aug 29, 2018
Course Ends: May 22, 2019
Course Goal: The goal of Algebra 2 is to present advanced topics in algebra in a unified way to help students prepare for everyday life and future courses in mathematics. Following the completion of this course, students will be well positioned to take Precalculus or introductory college level mathematics as well as taking the SAT II Subject Test Math I.
Live Zoom Lectures/Discussions: All course lectures are pre-recorded and available for students to playback at their convenience. Two to four times a month, live problem solving and discussion sessions will be held (recorded lecture should be watched prior to problem solving session). These sessions will be designed to provide students assistance with concepts and math problems assigned for homework. Students are not required to “meet” at the scheduled discussion time, but it is encouraged. Scheduled discussion times will be recorded for those unable to attend the live discussion times and available for approximately one month afterward. Office hours will be available by appointment for individual or group homework help.
Student Evaluation and Feedback: Students will be graded on homework, projects, tests and exams. The homework will consist of videos, daily readings and note-taking with answering 20-25 questions in mixed formats, some as electronic quizzes, some submitted as scanned written work, and some to be checked against answers in the back of the book. Submitted student work will be graded and returned within one week.
Communications: Course communication will occur through the message system on the course website. I am also available to students through Zoom, by appointment.
Technical needs: To access course materials students will need broadband, high speed Internet and their own e-mail account. This course will be run on the learning platform called Canvas. Canvas is a user-friendly, powerful platform where parents can be linked to their students and access student material, see grades, and contact the instructor at any time. Weekly assignments can be downloaded as PDF files from the website or accessed online. A scanner or smartphone is required so that students can scan their completed work and upload it to the website for grading.
Time Commitment: The qualified student will spend 6-10 hours per week on this class. This accounts for reading the assigned texts, taking notes, listening to recordings, and completing daily homework assignments, twice yearly projects, chapter tests, and semester exams.
Application and Placement Test: All interested students should apply first. Below you will find an application and placement test. The results of the placement test are only one factor used to determine a student is prepared to be successful in this course and sometimes a phone conversation will be needed to get a better sense of each student’s math background. If your student has never seen a concept before, please have the student indicate that beside their answer.
Instructor Qualifications: Susan Habacivch earned a BS in Chemical Engineering from Washington University and a BA in French from Regis College. After working for several years in the nuclear and then fibers industry, she began homeschooling her four children in 2003. She has been tutoring and teaching science and mathematics in local coops since 2003 and has been teaching online since 2010.