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demonstrated an advanced level of achievement in mathematics. Conceptual understanding of topics is emphasized.

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: Students in precalculus continue their study of algebra for a semester then learn trigonometry for a semester
in preparation for the study of calculus. The first semester continues the study of functions from Algebra 2 with the study
of rational, radical, and piecewise functions. Topics from Algebra 2 are reviewed and extended: domain and range,
transformations, and notation. The semester ends with a study of analytical geometry (parabolas, circles, ellipses, and
hyperbola). Throughout the semester real-world applications are emphasized. Students study trigonometry in the
second semester, including a return to right triangle trigonometry from geometry, modeling periodic functions with
equations and graphs. Students will develop and prove relationships among trigonometric functions as well as solve
equations involving trigonometric functions. Students enrolled in this course generally intend on taking a calculus course
in high school (Business Calculus or College in High School Business Calculus).
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: Students enrolled in Honors Precalculus will spend one semester exploring trigonometry and one quarter
studying statistics, modeling, and proofs, and one quarter studying analytical geometry and probability. Trigonometry
returns students to the study of right triangles from geometry and proceeds to modeling periodic functions (such as ocean
tides or the motion of a swinging pendulum) with an emphasis on writing equations and graphing transformed
trigonometric functions. Students will develop and prove relationships among trigonometric functions as well as solve
equations involving trigonometric functions. In the second semester, students prove relationships in the patterns found
in linear, exponential, variation, and quadratic functions and explore flattening out exponential and logarithmic functions
in the service of modeling messy data with regression in order to make predictions. Students end the year with a study
of analytical geometry (parabolas, circles, ellipses, and hyperbola) and probability. Because of the emphasis on proof,
this rigorous course is designed for the advanced mathematics student intent on enrolling in an AP level mathematics
course the following year.

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

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