Mathematics Department

Our dynamic mathematics program makes use of iPads and Apple TV to create an interactive experience for students in class. Teachers are able to interact with the textbook and can create and make class notes available to students. Additionally, interactive calculators and course specific apps allow students to focus on problem-solving, critical thinking and the exploration of mathematical principles at the highest levels. By creating an interactive environment, teachers are able to engage students in discussions of multiple approaches to math problems and provide instant feedback. Math becomes more than an exercise in finding the right answer as students learn the richness of mathematical concepts and how they can be used. Students experience the flipped classroom, allowing them to watch informational videos at home and tackle challenging problems in a collaborative class environment. Eligible Fifth and Sixth Formers may continue with advanced studies in courses that include AP Statistics, AP Calculus, Honors Linear Algebra, and Honors Multivariable Calculus.

Math courses are listed below; please download the Academic Guide for a complete list of our course offerings.

Courses

ALGEBRA 1

Basic concepts and properties of elementary algebra are introduced early to prepare students for equation solving. Concepts and skills are introduced algebraically, graphically, numerically, and verbally, often in the same lesson to help students make connections. Frequent and varied skill practice ensures student proficiency and success. Special attention is given to signed numbers, positive and negative exponents, linear equations, factoring, radicals, simultaneous equations, verbal problems, and test-taking strategies.

GEOMETRY

This full year course regards the properties of right triangles, similar triangles, polygons, and circles. Their geometric properties are treated synthetically with logic and proof, as well as analytically with coordinates and algebra. Multiple formats are supported through mastery including two column and indirect proofs. Students learn to value the need to think logically and present ideas in a clear order. Traditional geometry concepts and deductive reasoning are emphasized throughout, while measurement and applications are integrated to motivate students via real-world connections. Algebra 1 skills are reviewed at point-of-use, ensuring students maintain these skills. Honors section available.

ALGEBRA 2

The goal of the intermediate algebra course is to introduce and automate the middle-level algebra skills. Practice in the fundamental topics (linear equations, exponents, logarithms, graphs, verbal problems, systems of linear and nonlinear equations, complex numbers, right triangle trigonometry, quadratic equations, and linear and quadratic functions) is provided. Honors section available.

ELEMENTARY FUNCTIONS

Elementary Functions will extensively review concepts covered in Algebra and Geometry. Additionally, we will explore both familiar functions and new functions through a more critical lens. Throughout the year your knowledge and skills acquired in previous courses will be strengthened through effort and practice. Some topics we will explore include– linear systems, polynomial functions, exponents, and logarithms. We will end the year with an extensive study of trigonometry both as the solution to triangles and as the study of circular functions.

PROBABILITY AND STATISTICS

This course provides an elementary introduction to probability theory and mathematical statistics that emphasize the probabilistic foundations required to understand probability models and statistical methods. Topics include: basic combinatorics, discrete and continuous random variables, probability distributions, mathematical expectation, hypothesis testing, confidence intervals, and linear regression.

PRE-CALCULUS

Pre-Calculus prepares students for a college-level Calculus course by extending the student’s knowledge and skills acquired in previous courses. The course begins with a thorough review of selected topics—linear systems, polynomial functions, exponents, logarithms, sequences, series—and continues with an extensive study of trigonometry both as the solution to triangles and as the study of circular functions. At a more rapid pace, the honors section includes the usual topics treated at the beginning of a Calculus course (limits, derivatives, applications of derivatives). Honors section available.

CALCULUS

ADVANCED PLACEMENT CALCULUS

This course closely examines the theory behind and the applications of the derivative. A strong background knowledge of elementary functions and analytic geometry is required. The second half of this course closely examines integral calculus. The course curriculum satisfies the AB syllabus of the AP program. The course prepares students to take the AP Calculus exam in May.

ADVANCED PLACEMENT STATISTICS

This course covers the AP syllabus with specific emphasis in data exploration, experimental design, probability, and statistical inference. AP Statistics is a non-calculus based course which introduces students to methods and tools for collecting, analyzing, and drawing conclusions from data. This course is graphing calculator intensive. The course prepares students to take the AP Statistics exam in May.

HONORS MULTIVARIABLE CALCULUS

This college-level course is for students with a strong interest in mathematics and solid foundation in single variable Calculus. This course introduces and explores differentiation and integration of functions of more than one variable, including partial derivatives, directional derivatives and gradients. This course also investigates max/min problems, Lagrange's method, double and triple integrals, vector fields, line integrals, Green's, Gauss's, and Stokes's theorems. Enrollment in this year-long course is restricted to students who have successfully completed Advanced Placement Calculus.