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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 higher or Open to Grades: 11, 12

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 (2018-2019 cost $95).

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% or higher Open to Grades: 11, 12

or teacher recommendation

Requirement(s): Students are required to take the designated Advanced

Placement exam at their own expense (2018-2019 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

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.

2019-2020 Pine-Richland High School Program of Studies (Table of Contents) 43 | P a g e