Course Goal: The goal of Precalculus with Statistics is to present topics from algebraic functions, statistics and trigonometry 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 college level or AP courses in statistics or calculus as well as taking the SAT II Subject Test Math I and Math II.
Prerequisites: Successful completion of Geometry (full year course) and Algebra 2 and instructor approval. Students must complete the linked application and placement test here and be approved before registering. The well-prepared applicant is familiar with the fundamentals of algebra and geometry and has 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
Required Texts: Functions, Statistics and Trigonometry, 3rd Edition, The University of Chicago School Math Program, McGraw-Hill Wright Group, 2010. ISBN 9780076176908
Additional Materials: TI-83, TI-83 Plus (or TI-84 Plus) Graphing Calculator
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 and posted for about a month, for those unable to attend the live discussion times. Office hours will be available by appointment for individual or group homework help.
Course Description: This course will begin with an introduction to statistics, functions and trigonometry. The topics will be alternated between the three topics, then the course will wrap up with an integration of statistics and trigonometry. Topics included are:
Statistics: measures of central tendency and spread of data
Modeling Functions: linear, exponential, logarithms, quadratics, inverse variation, polynomials
Transformations: translations, scale change, symmetries, compositions and inverses
Trigonometric Functions: translations, identities and modeling, trigonometric equations, and applications.
Combinatorics, Probability and Chi squares
Sequences and Series
Binomial Distributions and Probabilities
Normal Distributions and Confidence Intervals
Matrices and their applications
Student Evaluation and Feedback: Students will be graded on homework, projects, quizzes, 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 occurs 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 are downloaded as PDF files from the website. A scanner 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, weekly quizzes, twice yearly projects, chapter tests, and semester exams.
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 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.
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.