AP Precalculus

What is AP Precalculus

AP Precalculus is a proposed Advanced Placement course designed to equip high school students with a comprehensive foundation in mathematics, preparing them for AP Calculus and other advanced math courses. The course would cover essential topics such as functions (including linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric), providing students with a deep understanding of their properties, transformations, and applications. It would delve into trigonometry, complex numbers, and basic concepts of vectors and matrices, enhancing problem-solving skills. Additionally, AP Precalculus would address sequences and series, offering insights into arithmetic and geometric progressions and their applications. An introduction to analytic geometry would include studying conic sections like parabolas, ellipses, and hyperbolas. The course might also touch on basic calculus concepts such as limits and continuity, setting the groundwork for more advanced studies. Overall, AP Precalculus aims to build a solid mathematical foundation, fostering readiness and confidence for tackling higher-level mathematics.

Your final score, ranging from 1-5, is a weighted combination of your scores in each exam section.

AP Precalculus Syllabus

AP Precalculus Exam Pattern

Section I:

• Part A: 28 questions | 1 hr 20 mins | Calculator not permitted (approximately 44% of score).
• Part B: 12 questions | 40 mins | Graphing calculator required for some questions (radian mode) (approximately 19% of score).
• Questions relate to function types from units 1–3, including general functions (non-analytical), polynomial and rational functions, exponential and logarithmic functions, and trigonometric and polar functions.
• Questions include graphical, numerical, analytical, and verbal representations; items in a real-world context; and items involving modeling.

Section II:

• Part A: 2 questions | 30 mins | Graphing calculator required (radian mode) (approximately 19% of score).
• Part B: 2 questions | 30 mins | Calculator not permitted (approximately 19% of score).
• The 4 questions are each worth 6 points. 2 questions incorporate a real-world function modeling context.
• Question 1: Function Concepts (graphing calculator)
• Question 2: Modeling a Non-Periodic Context (graphing calculator)
• Question 3: Modeling a Periodic Context (no calculator)
• Question 4: Symbolic Manipulations (no calculator)

Benefits Of Doing AP Precalculus

Taking AP Precalculus offers several benefits:

• Strong Foundation for Calculus: AP Precalculus provides a comprehensive grounding in mathematical concepts that are essential for success in AP Calculus and other advanced math courses. Mastery of these foundational topics helps ensure a smoother transition to more complex calculus concepts.
• Improved College Readiness: By building a solid understanding of functions, trigonometry, complex numbers, and analytic geometry, students are better prepared for the rigorous demands of college-level mathematics courses, making the transition to higher education more manageable.
• Enhanced Problem-Solving Skills: The course emphasizes critical thinking and problem-solving across a range of mathematical topics, which can improve overall analytical skills and help in tackling complex problems in various academic and real-world scenarios.
• Strengthened College Applications: Successfully completing AP Precalculus can demonstrate to college admissions committees that you are prepared for advanced coursework, enhancing your application and potentially improving your chances of acceptance into competitive programs.
• Opportunity for Advanced Placement: While AP Precalculus itself might not directly earn college credit, it prepares students to excel in AP Calculus and other advanced math courses, which can lead to college credit and advanced placement opportunities based on performance in those higher-level exams.
• Intellectual Challenge and Growth: The course offers a rigorous academic challenge, fostering a deeper appreciation for mathematics and intellectual growth, which can be rewarding and satisfying for students who enjoy mathematical problem-solving.