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Mathematics
In York’s mathematics program, students learn to solve problems in a logical and systematic way, using the efficient and precise techniques and notations developed in the different branches of mathematics. Students learn to value mathematics by relating equations to models of phenomena in the real world. They become creative mathematical problem solvers by analyzing data in groups, communicating mathematically with their peers, and discovering the significance of their answers in real mathematical applications. Strong algebra skills and deductive reasoning are developed throughout the program, as well as a clear understanding of mathematics concepts.
All students accepted to York take a math placement exam, usually in mid-May. Students are placed in math classes according to the course level they have attained. For example, students who are currently in an Algebra I class and pass the Algebra I placement test will be placed into Geometry. Starting in Algebra II, students learn to use graphing calculators. Students also work with computer exploration and data collection programs throughout the math curriculum.
Algebra 1
Students learn how to solve algebraic equations and at the same time strengthen their problem solving skills. Each algebraic equation is related to a particular type of situation, thus giving more meaning to each type of problem solved. While calculators are used to enable the students to solve more ‘real world’ types of work problems, mental math is encouraged.
Geometry
Students will learn important definitions, postulates and theorems connected with Euclidean geometry and apply them to solve geometrical application problems. A balance is sought between an intuitive understanding of what is true, and the need for a thorough, careful, deductive reasoning about one’s perceptions. Students learn how to order their arguments in clear, precise language when writing their proofs of geometry theorems. Students will also develop spatial skills in two and three dimensions, and review their algebra skills throughout the course. Discovering geometric properties in encouraged though working in group projects and computer exploration.
Algebra II
The goal of this course in advanced algebra is to relate each new idea to the concept of function. Applications are handled by creating mathematical models of a phenomena in the real world. Students frequently work in small groups learning to select a kind of function (quadratic, exponential, etc) that fits a given situation, and deriving an equation that suits the information in the problem. The students then use the equation to make predictions or interpretation about the real world. Although graphing calculators are incorporated into this course to enhance the curriculum, the emphasis remains on the thought process and understanding of the mathematical concepts. Computer explorations are utilized throughout the course to assist in the understanding of functions.
PreCalculus
This course combines advanced Algebra II skills with trigonometry, data analysis, vectors, and an introduction to Calculus. In addition to strengthening Algebra II skills and problem solving strategies, students learn to apply concepts to real-world problems through mathematical modeling. While the emphasis of the course is on honing algebraic and graphical analysis skills, the course makes extensive use of the graphing calculator. Many of the same topics will be covered as in the Honors Precalculus class, but not as rigorously and at a different pace. The course prerequisite is successful completion of Algebra II or with consent of the Math/Science Division Head.
Honors PreCalculus
This course combines advanced Algebra II skills with trigonometry, data analysis, vectors, and an introduction to Calculus. While strengthening Algebra II skills, students learn to apply concepts to real-world problems through mathematical modeling. Higher order thinking will be emphasized, where students will be required to solve novel problems by utilizing creative problem solving strategies. While the emphasis is on honing algebraic and graphical analysis skills, the course makes extensive use of the graphing calculator. Many of the same topics will be covered as in the regular Precalculus class, but in greater depth and breadth. Therefore, Honors Precalculus is for students that have a strong interest and aptitude for math, and who are willing to do the work necessary to tackle challenging problems at an accelerated pace.
Calculus
This course introduces students to the basic concepts of differential and integral calculus, and is roughly equivalent to one semester of college calculus. Although this course is not aimed at preparing students for the Advanced Placement Exam in Calculus AB, the topics covered will be very similar. The pacing of this course will be slower than in Calculus AB, in part because there will be no need to finish the material by the beginning of May.
Calculus AB
Students will master the basic topics of differential and integral calculus, equivalent to one semester of college calculus. Besides learning a variety of differentiation and integration techniques, students will also gain a deep, conceptual understanding of these topics. Clear mathematical statements demonstrating this conceptual knowledge will be required, as students prepare for the Calculus AB advanced placement exam. All students enrolled in the course will be expected to take the AP exam.
Calculus BC
This course continues the study of calculus begun in previous courses. An extensive review of earlier topics is combined with an assortment of challenging new topics and techniques. The new topics include those usually covered in the second semester of college calculus. Topics are approached with an increased emphasis on mathematical rigor. The course will include all of the concepts and techniques that appear on the Calculus BC Advanced Placement Exam, and all students enrolled in the course will be expected to take this exam in May. Testing throughout the year will also be designed to help prepare the students for this exam.
Linear Algebra
Those students who have completed Calculus BC by the end of Junior year are eligible to enroll in Linear Algebra. Qualified students should speak with the Academic Dean, Director of College Counseling, of the Math department chair.
