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Course Title: Pre-Calculus Credit Value: 1.0

Course 102413 Term(s) Offered: Full Year
Number:
Prerequisite(s): Completion of Algebra 2 with an 80% or higher Open to Grades: 10, 11, 12
or completion of Honors Algebra 2 with a 70% or
higher or teacher recommendation. Completion
of Geometry presumed.
Career Architecture and Construction Information Technology
Cluster(s): Business Management and Administration Science, Technology, Engineering and
Finance Mathematics
Description: Pre-Calculus is a course with college-level algebra and trigonometry that is designed to prepare students
for the study of calculus. Students enrolled in this course generally intend on taking a calculus course in high school
(Business Calculus, College in High School Business Calculus). The year begins with a study of trigonometry, including
right triangles, graphing periodic functions, modeling periodic phenomena, proving identities, and solving trigonometric
equations. The analysis of conic sections from a coordinate point of view is also studied. The year concludes with a study
of functions and their applications designed to increase students’ knowledge of algebra.

Course Title: Honors Pre-Calculus Credit Value: 1.0
Course 102422 Term(s) Offered: Full Year
Number:
Prerequisite(s): Completion of Algebra 2 with a 90% or higher or Open to Grades: 10, 11, 12
completion of Honors Algebra 2 with an 80% or
higher or teacher recommendation. Completion
of Geometry presumed.
Career Architecture and Construction Information Technology
Cluster(s): Business Management and Administration Science, Technology, Engineering and
Finance Mathematics
Description: Honors Pre-Calculus includes the study of Trigonometry including right triangle trigonometry, graphing
periodic functions, modeling periodic phenomena, proving identities, and solving trigonometric equations. The course
continues with regression, analytical geometry, modeling with various functions and proof. This rigorous course is
designed for the advanced mathematics student intent on enrolling in an AP level mathematics course the following year
(either AP Calculus AB, AP Calculus BC or AP Statistics), The curriculum for this honors course is distinguished by a
difference in rigor and quality of work, compacting and extending concepts studied in the Pre-Calculus course.

Course Title: Trigonometry & Analytical Geometry Credit Value: 1.0
Course 102412 Term(s) Offered: Full Year
Number:
Prerequisite(s): Completion of Geometry and Algebra 2 Open to Grades: 11, 12
Career Architecture and Construction Information Technology
Cluster(s): Business Management and Administration Science, Technology, Engineering and
Finance Mathematics
Description: Trigonometry is a branch of mathematics that studies relationships between the sides and angles of
triangles. This level of trigonometry is for students who are not intending to take a calculus course in high school. The
year begins with a study of trigonometry, including both right and non-right triangles, applying the trigonometric ratios,
graphing the trigonometric functions and describing the effects transformations have on these functions. Students will
also solve trigonometric equations, algebraically and graphically, using inverse functions. Describing the properties of
simple harmonic motion and modeling periodic phenomena are also studied. Students prove trigonometric
identities. The year concludes with analyzing conic sections and other geometric curves from a coordinate point of
view. Algebra concepts will be reviewed as needed.

2022-2023 Pine-Richland High School Program of Studies (Table of Contents) 50