High AP Calculus BC

Segment 1:

• Properties of Limits
• Determining and Estimating Limit Values Algebraically and from Graphs and Tables
• Limits Involving Infinity
• Continuity and Discontinuity
• Intermediate Value Theorem
• Rates of Change
• The Derivative
• Rules of Differentiation
• Trigonometric, Exponential, and Logarithmic Functions
• Implicit Differentiation
• Inverse Functions
• Distance, Velocity, Acceleration, and Rectilinear Motion
• Related Rates
• Linearization
• Hôpital's Rule
• The Mean-Value Theorem
• Function Behavior and Curve Sketching
• Optimization

 

Segment 2:

• Area Approximation and Riemann Sums
• The Fundamental Theorem of Calculus
• Introduction to the Definite Integral
• Integrals and Antiderivatives
• Integration Using Substitution
• Integration Using Long Division and Completing the Square
• Integration by Parts
• Integration Using Partial Fractions
• Improper Integrals
• Differential Equations
• Slope Fields 
• Euler’s Method
• Separation of Variables
• Exponential Models
• Logistic Models 
• Average Value of a Function and Rectilinear Motion Revisited
• Finding the Area Under and Between Curves
• Volumes with Discs
• Volumes with Washers
• Volumes with Cross Sections
• Length of Planar Curves
• Parametric Curves
• Vector Curves
• Polar Curves
• Area of Planar Curves (Polar Curves only)
• Series
• Convergence and Divergence
• Tests for Convergence
• Error Bound
• Maclaurin Series
• Taylor Series and Error Bound
• Power Series
• Radius and Interval of Convergence of Power Series

Calculator approved for use on the AP exam
http://apstudent.collegeboard.org/apcourse/ap-calculus-bc/calculator-policy

Study Forge- Provided within the course.

Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. This course will use the state-approved grading scale. Each course contains a mandatory final exam or culminating project that will be weighted at 20% of the student’s overall grade.***

***Proctored exams can be requested by FLVS at any time and for any reason in an effort to ensure academic integrity. When taking the exam to assess a student’s integrity, the exam must be passed with at least a 59.5% in order to earn credit for the course.  

Advanced Placement Policy

Students entering high school grades 9-12 have access to Advanced Placement courses that may result in earning college credit for high school coursework. These courses are used to calculate overall Grade Point Average (GPA) and typically count extra in the calculation. These courses are also available at no charge to Florida public school students, whereas they may have a tuition cost if taken in college. (S. 1003.02, F.S.)

A passing grade in the course will be accepted for high school credit.  Postsecondary institutions determine college credit awarded, based on the AP Exam score earned.  FLVS strongly encourages students who take AP courses to sit for the course AP Exam in May.  Florida students shall be exempt from payment of any fees associated with AP Exam participation, with the exception of late test registration fees incurred by the student. 

To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, “any pace” still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.