The fundamental purpose of the Mathematics I course is to formalize and extend the mathematics that students learned in the middle grades. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. For the Mathematics I course, instructional time should focus on six critical areas: (1) extend understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of functions; (3) deepen and extend understanding of linear relationships; (4) apply linear models to data that exhibit a linear trend; (5) establish criteria for congruence based on rigid motions; and (6) apply the Pythagorean Theorem to the coordinate plane.
The focus of the Mathematics II course is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Mathematics I (or Algebra I). This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.
For the Mathematics II course, instructional time will focus on five critical areas: (1) extend the laws of exponents to rational exponents; (2) compare key characteristics of quadratic functions with those of linear and exponential functions; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) extend work with probability; and (5) establish criteria for similarity of triangles based on dilations and proportional reasoning.
It is in the Mathematics III course that students integrate and apply the mathematics they have learned from their earlier courses. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Some standards are repeated in multiple higher mathematics courses; therefore, instructional notes, which appear in brackets, indicate what is appropriate for study in this particular course. Standards that were limited in Mathematics I and Mathematics II no longer have those restrictions in Mathematics III.
For the Mathematics III course, instructional time should focus on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems.
The fundamental purpose of Pre-calculus is to generalize and apply learning accumulated through previous courses and to provide the final springboard to calculus. Students build on their understanding of functions, analyze rational functions using an intuitive approach to limits and synthesize functions by considering compositions and inverses. Students expand their work with trigonometric functions and their inverses and complete the study of the conic sections. Literary skills are enhanced as students use both written and spoken academic vocabulary, to discuss, explain, and explore solutions to real life problems.
AP Precalculus prepares students for other college-level mathematics and science courses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. The course framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science.
Individual students have different needs, aspirations, interests and abilities. For this reason there are two different DP subjects in mathematics, Mathematics: analysis and approaches and Mathematics: applications and interpretation. Each course is designed to meet the needs of a particular group of students. Both courses are offered at SL and HL. The IB DP Mathematics: applications and interpretation course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. To give this understanding a firm base, this course includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. Students are encouraged to solve real-world problems, construct and communicate this mathematically and interpret the conclusions or generalizations. Students should expect to develop strong technology skills, and will be intellectually equipped to appreciate the links between the theoretical and the practical concepts in mathematics. All external assessments involve the use of technology. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments. The internally assessed exploration allows students to develop independence in mathematical learning. Throughout the course students are encouraged to take a considered approach to various mathematical activities and to explore different mathematical ideas. CREDIT: IBO.org
IB Math Analysis and Approaches SL refers to the Standard Level (SL) mathematics course offered in the International Baccalaureate (IB) program, focusing on developing a strong understanding of core mathematical concepts through analysis, problem-solving, and applying mathematical techniques to real-world situations, suitable for students who want a solid foundation in mathematics without diving into extremely advanced topics; it includes areas like functions, calculus, statistics, geometry, and trigonometry, with a focus on conceptual understanding and practical applications.
Business math will cover skills students need to manage their personal finances and excel at their first jobs and in everyday life.
CREDIT: Glencoe Business Math Textbook
The fundamental purpose of the Accelerated Math course is to strengthen basic computational skills, including operations with integers, fractions, decimals and percents, as well as preparing students with the essential skills necessary to be successful in the Integrated Math courses. Key topics will include the number system, number and operations, problem solving strategies, equations and inequalities, the coordinate plane and linear functions.
Advanced Placement Calculus is a college-level mathematics course. This course will emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed numerically, analytically, and graphically. Students are also expected to communicate their ideas verbally and in writing using appropriate mathematical reasoning. The connections among these representations also are important.
It is expected that students will be taking the AP Calculus (AB) exam in May. This course is very fast-paced and intense. It is understood that by signing up to take this class, you are making a sincere commitment of time and effort to understand and apply concepts. This commitment should be demonstrated throughout the entire school year. This commitment is demonstrated through participating, paying attention, asking questions, and consistently doing homework. This commitment is also demonstrated by your attendance, which is MANDATORY. Absences during a semester will adversely affect a student’s grade.
Your goal for this course should be to learn and understand calculus and be able to apply it to different situations. Be prepared to work harder than you have been used to in the past. If you want to earn a good grade, then be prepared to commit to hours of work outside of class every week.
AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions.