This is a complete course in high school PreCalculus which will cover fundamental concepts and provide a solid foundation of mathematical literacy, problem solving, reasoning, and critical thinking skills that are necessary for the exploration of more advanced and rigorous topics in mathematics. Topics in Precalculus include functions: polynomial, rational, exponential, logarithmic, and trigonometric (right angle and unit circle). In addition, the course will cover polar coordinates, parametric equations, analytic trigonometry, vectors, systems of equations/inequalities, conic sections, sequences, and series. Students will explore these topics through class discussions, practice problems, and open-ended problem solving.
Prerequisite: Students should have a solid foundation Algebra I, Algebra II, and Geometry in order to take this class.
Workload: Students should expect to spend 1.25-1.75 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 13-day cycle in this class with: a new unit introduced on a Friday (day 1), lecture on Tuesday (day 6), questions and answers on the next Friday (day 8), and homework due the next Tuesday (day 13). After introduction of a new topic (day 1), students will be expected to read the assigned section and look through worked, sample problems before the lecture the following Tuesday (day 6). Solutions will be provided for some homework problems, but students are expected to show all steps of all work.
Assignments: The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address in order to be set up as users of the Canvas system. Parents can also be set up as Canvas guests/observers for purposes of tracking the student's progress and workload. In lieu of a graphing calculator, students should have access to websites desmos.com and wolframalpha.com for graphing assignments.
Assessments: In this class, the instructor will assess a student's progress by checking that weekly homework sets are complete and giving periodic take-home tests; class participation is also strongly encouraged. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade.
Textbook: Students should purchase or rent the required textbook for this class: Precalculus: Mathematics for Calculus, 6th edition by Stewart, Redlin, and Watson (ISBN-10 0840068077, ISBN-13 978-0840068071). A scientific calculator similar to the Casio fx-115ES PLUS is required for this class.
Credit: Homeschool families may wish to count this course as a complete credit in Precalculus for purposes of a high school transcript.