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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% or Open to Grades: 11, 12
higher or Pre-Calculus with 90% or higher or
teacher recommendation.
Requirement(s): Summer packet offered for review of algebra and trigonometry topics. While this is not a graded
assignment, material included is inherently assessed throughout the course.
Students are required to take the designated Advanced Placement exam at their own expense
(2019-2020 cost $95).
Career Cluster(s): Finance Science, Technology, Engineering and Mathematics
Information Technology
Description: Calculus is the study of how things change. This course looks at ways to measure tiny (infinitesimal) changes
and use that information to construct quantitative models of change, allowing the student to predict large changes in
relationships between variables. AP Calculus AB is equivalent to a first-semester college calculus course and 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. AP Calculus AB is structured
around three big ideas: limits, derivatives, and integrals. Students apply 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.

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 90% Open to Grades: 11, 12
or higher or teacher recommendation
Requirement(s): Students are required to take the designated Advanced Placement exam at their own expense
(2019-2020 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 Mathematics
Information Technology
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.

2020-2021 Pine-Richland High School Program of Studies (Table of Contents) 51