High AP Precalculus

Segment One
• Determine and evaluate the behavior of different function types, including end behavior using the mathematical notation of a limit.
• Compare and analyze rates of change, including the change in the average rate of change for linear and quadratic functions.
• Identify key characteristics of different function types.
• Recognize and determine complex and real zeros of functions.
• Determine the effects of transformations on different function types.
• Analyze rational functions.
• Determine and analyze vertical asymptotes and holes in the domain of rational functions.
• Express functions in equivalent forms.
• Model data sets for geometric and real-world applications.
• Construct a model, including using technology to construct a regression function model.
• Describe and construct piecewise-defined functions.
• Define, apply, and relate arithmetic and geometric sequences to linear and exponential functions respectively.
• Compare models to decide which is the most appropriate.
• Construct the composition of two or more functions.
• Construct and verify inverse functions.

Segment Two
• Rewrite and evaluate logarithmic expressions as exponential expressions.
• Apply properties of inverse functions to logarithmic and exponential functions.
• Determine the effects of transformations on different function types.
• Identify key characteristics of different function types.
• Solve equations and inequalities of different function types.
• Construct and verify inverse functions.
• Construct a model, including using technology to construct a regression function model.
• Write, apply, and linearize functions modeled with semi-log plots.
• Determine the sine, cosine, and tangent of an angle from the unit circle defined in radians.
• Construct sinusoidal function models.
• Convert between trigonometric functions and their inverse functions graphically, numerically, analytically, and verbally.
• Produce general solutions to describe trigonometric equations.
• Derive and verify trigonometric identities.
• Covert between rectangular coordinates, polar coordinates, and complex numbers.
• Determine how changes in input and output values correspond to changes in angle and radius measures, respectively.
• Determine and interpret the average rate of change in a polar function.
 

• A College Board-approved graphing calculator is required.

• Printer

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.