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Course Title: Advanced Placement Calculus AB Credit Value: 1.0

Course Number: 102520 Term(s) Offered: Full Year
Prerequisite(s): Completion of Honors Pre-Calculus with 80% Open to Grades: 11, 12
or higher or Pre-Calculus with 90% or higher
or teacher recommendation.
Requirement(s): Students are required to take the designated Advanced Placement exam at their own expense
(2020-2021 cost $95).
Career Cluster(s): Finance Science, Technology, Engineering and
Information Technology Mathematics
Description: Calculus is the study of how things change. This course looks at ways to measure tiny (infinitesimal)
changes and use that information to describe large changes in relationships between variables. Calculus is structured
around three big ideas: limits, derivatives, and integrals. AP Calculus students apply their knowledge of calculus to
polynomial, power, trigonometric, exponential, and logarithmic functions. This course emphasizes a multi-
representational approach with concepts, results, and problems being expressed and connected graphically, numerically,
analytically, and verbally. AP Calculus is equivalent to 1.5 semesters of college calculus. It is expected that students who
enroll have a strong mastery of material in algebra, geometry, trigonometry, analytical geometry, and elementary
functions (equivalent to four years of high school mathematics) and can handle the rigor of a college-level mathematics
course with the intention of placing out of a comparable college calculus course.

Course Title: Advanced Placement Calculus BC Credit Value: 1.0
Course Number: 102530 Term(s) Offered: Full Year
Prerequisite(s): Completion of Honors Pre-Calculus with an Open to Grades: 11, 12
90% or higher or teacher recommendation
Requirement(s): Students are required to take the designated Advanced Placement exam at their own

expense (2020-2021 cost $95).
Notes: Students who have completed AP Calculus AB are only eligible for 0.5 credit in AP Calculus
BC due to the two-thirds overlap of the course material
Career Cluster(s): Finance Science, Technology, Engineering and
Information Technology Mathematics
Description: Calculus is the mathematical study of change. We look at ways to measure tiny—infinitesimal—changes
and use that information to describe large changes in relationships between variables. Calculus is structured around
three big ideas: limits, derivatives, and integrals; AP Calculus BC students also study series. AP Calculus students apply
their knowledge of calculus to polynomial, power, trigonometric, exponential, and logarithmic functions; BC students
also apply calculus to vector, polar and parametric functions. Both AP Calculus AB and BC students emphasize a multi-
representational approach, with concepts, results, and problems being expressed and connected graphically, numerically,
analytically, and verbally. While AP Calculus AB replaces 1.5 semesters of college calculus, BC replaces two full
semesters. Because the pace is brisk, AP Calculus BC students are expected to have a strong mastery of material in
algebra, geometry, trigonometry, analytical geometry, and elementary functions (equivalent to four years in high school
mathematics) and can handle the rigor of a college-level mathematics course with the intention of placing out of
comparable college calculus courses.

2022-2023 Pine-Richland High School Program of Studies (Table of Contents) 52