The Advanced Placement Calculus AB course is equivalent to a first-semester college calculus course devoted to topics in differential and integral calculus. The rigor of this course is consistent with colleagues and universities and will prepare students for the Advanced Placement exam in May. Upon successful completion of the exam, students may receive college credit and will be well-prepared for advanced statistics coursework. Additional details on this course from College Board can be found here: AP Calculus AB.
In this course, students will explore three big ideas:
(1) Change: Using derivatives to describe rates of change of one variable with respect to another or using definite integrals to describe the net change in one variable over an interval of another allows students to understand change in a variety of contexts.
(2) Limits: Beginning with a discrete model and then considering the consequences of a limiting case allows us to model real-world behavior and to discover and understand important ideas, definitions, formulas, and theorems in calculus.
(3) Analysis of Functions: Calculus allows us to analyze the behaviors of functions by relating limits to differentiation, integration, and infinite series and relating each of these concepts to the others.
Students will investigate topics such as limits and continuity, differentiation – definition and fundamental properties, differentiation – composite, implicit, and inverse functions, contextual applications of differentiation, analytical applications of differentiation, integration and accumulation of change, differential equations, and applications of integrations.
This course incorporates a variety of textbook and multimedia resources including an adaptive problem set platform that provides various feedback on student assessments. Students will also engage in collaborative activities, including discussions, and connect concepts in calculus to real-world applications, in order to develop a deeper understanding of calculus in today’s world.
Students will be expected to enroll in My AP Classroom through their VHS Learning AP course and will be guided to complete review work in My AP Classroom throughout the year. My AP Classroom resources include AP Daily Videos and unit-based Personal Progress Checks, which include AP-style multiple choice and free response questions.
Students enrolled in VHS Learning Advanced Placement courses with a passing grade are expected to take the AP Exam. Students register for AP exams through their local school or testing site as “Exam Only” students. AP exam scores will be reported to VHS Learning through My AP Classroom; exam results will not affect the student’s VHS Learning grade or future enrollment in VHS Learning courses.
This AP course has a required summer assignment. The summer assignment is a review of prerequisite content and critical concepts students must be comfortable with before beginning the course. Students are expected to complete their summer assignment before the course begins and submit their work by the end of Week 1. Students who register on or after September 1 will receive an extension to complete the summer assignment by the end of Week 3.