All fifth grade students take Math 5. Computation with whole numbers, decimals, and fractions is honed. Keen attention is paid to understanding the effect of operations on quantities in order to develop estimation skills and improve number sense. Students examine algorithms and number composition to enhance understanding of arithmetic properties. Geometry, number theory, ratio, percent, measurement, and pre-algebra concepts are explored through hands-on activities, problem solving, and practice workbooks. Fifth graders also have math labs during which they explore open-ended problems, participate in Math Olympiad contests, and extend their study of topics. Students are regularly prompted to reflect on, prove, or justify solutions during focused discussions. Whole class instruction and smaller skill-group lessons meet varied student abilities. Students continually revisit learned concepts through classroom routines and mathematical games.

As students solidify a foundation in decimals, fractions, percent, ratio and proportion, they will become more comfortable with how variables can be incorporated within these concepts. Topics include operations with rational numbers, simplifying algebraic expressions, solving equations and basic geometry. Problem solving techniques and algebraic processes are emphasized throughout the year as students learn to communicate their solutions. Reading, listening, writing, and speaking skills are stressed as students learn to express mathematical ideas just as they would in other subject areas. There is a focus on developing a breadth and depth of mathematical knowledge and skills, with a strong emphasis on conceptual understanding. An equal emphasis is placed on conceptual understanding and skill development – the "why" as well as the "how".

This is a rigorous, complete Algebra 1 course. The course content includes solving of linear and quadratic equations, graphing linear equations and inequalities, exponents, radicals, polynomials, systems of equations, and some rational expressions. Because it includes all of the abstract concepts through the solving of quadratics, placement into this course is not solely based on strength in arithmetic, but is also based on evaluation of abstract thinking, academic maturity, and a student's intellectual drive. Applications to science, in addition to other real-world situations, are integrated throughout the course.

This course provides exposure to the more concrete topics of Algebra. Students will explore the basic principles and skills of simplifying expressions, polynomials, exponents, radicals, and solving and graphing linear equations and inequalities.

In this inspiring one-semester course students will be introduced to the idea of Computer Science as a field as well as algorithmic thinking – how can we learn to give instructions that someone else can follow to complete a task.  Students will have the opportunity to explore, problem solve, and create in the context of developing Android applications. Topics include event driven programming, basic algorithm development, abstraction, image manipulation, and error detection. Over the course of the semester students will use the Mobile CSP online curriculum and  MIT’s AppInventor online development environment to develop Android applications on their own physical devices.   

This capstone course in high school mathematics introduces students to the concepts of differential and integral calculus. This course provides a rigorous alternative introduction to Calculus without the stress or focus on preparing for an AP exam.  Fall semester includes derivatives, related rates, curve-sketching and optimization. Spring semester introduces definite and indefinite integrals, area and volume. Through practice with applied problems, students learn to communicate their methods using appropriate language, symbols and units. A solid understanding of geometry, functions, and trigonometry is necessary for success in this course.  Students who complete this course can still elect to take AP Calculus AB the following year.  

First-year concepts of differentiation and integration are extended to polar, parametric, and vector functions. Students master new methods for evaluating limits, evaluating integrals, and solving differential equations. Series and tests for their convergence as well as power series and polynomial approximations are studied. The workload, pace, and content of this course is comparable to a second or third semester course at colleges and universities.

View the College Board AP Calculus (BC) Course Description.

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes:

1. Exploring Data: Describing patterns and departures from patterns
2. Sampling and Experimentation: Planning and conducting a study
3. Anticipating Patterns: Exploring random phenomena using probability and simulation
4. Statistical Inference: Estimating population parameters and testing hypotheses

Successful AP statistics students have good quantitative reasoning, good reading comprehension, clear written communication and consistent study habits. Students will be challenged to think critically about data, to use statistical methods with a deep level of understanding, and to write persuasive responses to real-world questions. A graphing calculator will be the student’s constant companion.

View the College Board AP Statistics Course Description.

Linear algebra is a branch of mathematics studying linear equations and their relationships to matrices and vector spaces.  This topic is a fundamental component of many important mathematical applications including finance, cryptography, artificial intelligence, web search, computer graphics and more.  The course will cover the basic elements of a college-level Introduction to Linear Algebra course, including: matrix algebra; determinants; elementary vector spaces; linear transformations; and characteristic equations and eigenvalues. As time and resources permit, students will use computing technologies to create and explore applications of linear algebra. 

Discrete Mathematics is the study of mathematical structures that are discrete, separated or distinct; in contrast with Calculus which deals with continuous change. It is an important area of pure and applied mathematics, as well as providing the mathematical basis for the understanding of computers and modern computation. Discrete Mathematics is also important in the sciences, where it has increasing application in many areas, an exemplar of which is the understanding of DNA sequences in molecular biology. This course will cover topics based on instructor and student interest such as Boolean logic; enumerative combinatorics; recurrence relations; relation theory and lattices; voting theory; theoretical computer science and computability theory; and graph theory.  

Programming language: Java. Students with a working knowledge of object-oriented programming fundamentals in java will be given the opportunity to further practice and extend those skills in this applied course. This course focuses on student engagement in the learning process through a practical, collaborative approach that allows for a creative and authentic experience. The majority of activities will be centered around learning and practicing the details of developing mobile apps using core OOP principles and various APIs available. Concepts related to the process rather than coding, such as best practices of mobile development and strategies of completing large projects in teams, will be presented and implemented as well. The final goal of the course will be to complete, in a group, a thoroughly polished Android app incorporating all skills learned during the semester.