Precalculus with Trigonometry

NOTE: This course has been approved for Dual Enrollment Credit through Kepler's Partnership with Colorado Christian University's - Dual Credit Program | CCU Academy. See details below!

Prerequisites: Algebra 2 and Geometry (see below Resource for Placement Chart)

Precalculus with Trigonometry* is a classical, Christian approach to the liberal arts of mathematics and geometry. Galileo Galilei proposed, “Mathematics is the language in which God has written the universe.” Math is the language... Math is a language? A language implies communication. While a language, like any language, can be learned by textbooks and one-way imparting of information, the ability does not imply it should be taught solely in that manner. To become fluent, one must speak conversationally. Utilizing a state-of-the-art eLearning system for the foundational framework of didactic instruction and diligent development of intellectual skills and habits, this course is designed to shepherd students through and beyond the curriculum and into deeper understanding and wisdom by employing various discussion methods of participation via the canons of rhetoric.

This 32-week, 1.5 credit course consists of two sixteen-week semesters. Each semester students will be assigned lessons, quizzes, and exams from the required eLearning Course, record weekly journal entries, and attend live recitations as an active member.

*Only count ½ credit if student has ½ or less credit of Geometry. If student has only ½ credit in geometry, the first quarter review will satisfy the other half.

*NOTE: Based on 120-180 hours of student work per academic calendar year per credit and designed as a high school honors course, students and parents should plan for 180-270 hours of work for this class. The first quarter consists of a high-speed and intense review of Algebra and Geometry concepts. Adequately blocked time is necessary to diligently develop or polish skills and habits and avoid “cram, test, dump” mentality. If student is new to Shormann Math and/or has not completed a full 1.0 credits in Geometry, consider blocking two hours per day for margins around a focused 1.5 hours of study four (or five) days a week, plus the weekly 1.5-hour recitation, especially in the first quarter. *

Course Objectives:

1. To look at mathematics and geometry from a biblical viewpoint.
2. To build upon Algebra 2 & Geometry ½ knowledge and to gain a grasp of the topics and concepts of Precalculus with Trigonometry.
3. To learn, review, and practice intellectual skills of learning in the fundamentals of mathematics and geometry.
4. Within the rigor of the materials and calendar, to contemplate the truth, beauty, and goodness via journaling and actively participating in discussions of mathematics and geometry.
5. To study the language of mathematics and geometry with a goal of improving fluency.
6. To gain understanding and wisdom in the arts of mathematics and geometry using Cicero’s Five Canons of Rhetoric to participate in various methods of discussions.

Curriculum:

• Shormann, David, PhD Precalculus with Trigonometry (Required eLearning Course Subscription)

Optional references:

• Euclid (Euclid’s Elements, ISBN-13: 978-1888009194)
• Euler, Leonard (Elements of Algebra, ISBN-13: 978-1508901181)
• Nickel, James (Mathematics: Is God Silent?, ISBN-13: 978-1879998223)

Colorado Christian University's - Dual Credit Program | CCU Academy. This dual-credit course costs $200 and must be completed with a grade of C- or higher to be considered for college transfer credit. Pre-Calculus (MAT 115) is a 3-credit course. (NOTE: The $200 is per course, not per credit!)