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AP Exams are given each year in May. Students who earn a qualifying score on an AP Exam are typically eligible, in college, to receive credit, placement into advanced courses, or both. Every aspect of AP course and exam development is the result of collaboration between AP teachers and college faculty. They work together to develop AP courses and exams, set scoring standards, and score the exams. College faculty review every AP teacher’s course syllabus.  \nAP Precalculus Program  \nAP Precalculus develops students’ understanding of functions modeling dynamic phenomena. In this course, students study a  \nbroad spectrum of function types that are foundational for careers in mathematics, physics, biology, health science, business, social science, and data science. Furthermore, as AP Precalculus may be the last mathematics course of a student’s secondary education, the course is structured to provide a coherent capstone experience rather than exclusively focusing on preparation for future courses. Throughout the course, the mathematical practices of procedural and symbolic fluency, multiple representations, and communication and reasoning are developed. Students experience the concepts and skills related to each function type through the lenses of modeling and covariation, and engage each function type through their graphical, numerical, analytical, and verbal representations.  \nAP Precalculus Course Overview  \nAP Precalculus is designed to be the equivalent of a first semester college precalculus course. AP Precalculus provides students with an understanding of the concepts of college algebra, trigonometry, and additional topics that prepare students for further college-level mathematics courses. This course explores a variety of function types and their applications—polynomial, rational, exponential, logarithmic, trigonometric, polar, parametric, vector-valued, implicitly defined, and linear transformation functions using matrices.  \nPREREQUISITES  \nBefore studying precalculus, all students should develop proficiency in topics typically found in the Algebra 1-Geometry-Algebra 2 (AGA) content sequence. Students should have developed the following:  \n▀ Proficiency with the skills and concepts related to linear and quadratic functions, including algebraic manipulation, solving equations, and solving inequalities  \n▀ Proficiency in manipulating algebraic expressions related to polynomial functions, including polynomial addition and multiplication, factoring quadratic trinomials, and using the quadratic formula  \n▀ Proficiency in solving right triangle problems involving trigonometry  \n▀ Proficiency in solving systems of equations in two and three variables  \n▀ Familiarity with piecewise-defined functions  \n▀ Familiarity with exponential functions and rules for exponents ▀ Familiarity with radicals (e.g., square roots, cube roots)▀ Familiarity with complex numbers  \n▀ Familiarity with communicating and reasoning among graphical numerical, analytical, and verbal representations of functions  \nAP Precalculus Course Content  \nThe course content is organized into units of study, which have been  \narranged in the following suggested, logical sequence:▀ Unit 1: Polynomial and Rational Functions ▀ Unit 2: Exponential and Logarithmic Functions ▀ Unit 3: Trigonometric and Polar Functions  \n▀ Unit 4: Functions Involving Parameters, Vectors, and Matrices  \nUnits 1, 2, and 3 topics comprise the content and conceptual understandings that colleges and universities typically expect students to be proficient in in order to qualify for college credit and/or placement. Therefore, these topics are included on the AP Exam. Unit 4 consists of topics that teachers may include based on state or local requirements.  \nAP ","cbCaivCfuuZHIluD","https://ap.wps.com/l/cbCaivCfuuZHIluD","pdf",214122,"English","# About the Advanced Placement Program (AP)\n# AP Precalculus Program\n# AP Precalculus Course Overview\n# Prerequisites\n# AP Precalculus Course Content\n## Unit 1: Polynomial and Rational Functions\n## Unit 2: Exponential and Logarithmic Functions\n## Unit 3: Trigonometric and Polar Functions\n## Unit 4: Functions Involving Parameters, Vectors, and Matrices\n# AP Precalculus Mathematical Practices\n# AP Precalculus Exam Structure\n## Assessment Overview\n## Format of Assessment\n## Exam Components","[{\"question\":\"What is the purpose of AP Precalculus for students in high school?\",\"answer\":\"AP Precalculus helps students understand functions that model dynamic phenomena and connects course experiences to a coherent capstone experience. It is designed as the equivalent of a first semester college precalculus course.\"},{\"question\":\"Which types of functions are studied in AP Precalculus?\",\"answer\":\"The course studies polynomial, rational, exponential, logarithmic, trigonometric, polar, parametric, vector-valued, implicitly defined, and linear transformation functions using matrices.\"},{\"question\":\"How is the AP Precalculus exam structured and scored?\",\"answer\":\"The exam is 3 hours long, including 40 multiple-choice questions and 4 six-point free-response questions, each weighted equally. It uses an analytic scale and divides scoring between multiple-choice and free-response sections.\"}]","AP Precalculus Course Overview - Course Overview | PDF"]