Mathematics

Class I

Students study arithmetic using whole numbers, fractions, and decimals to understand concepts and strengthen skills. Manipulatives are used to help illustrate some concepts. Other topics include measurement, geometry, estimation, and problem solving. Mental and written computation is emphasized, but calculators or computers are used for appropriate activities. Students work individually as well as in groups when appropriate. Students are enriched with Weekly Challenges where the language of mathematics is emphasized as well as communicating problem solving strategies.

Class II

The mathematics curriculum includes fractions, decimals, percents, number theory, order of operations, measurement, two-dimensional geometry, data analysis, and an introduction to negative numbers. Students develop basic financial literacy through a computer simulation project. All topics involve individual and group activities and solving a variety of problems. Scientific calculators are introduced. Computer spreadsheets are also introduced and used during the study of financial literacy and data analysis. Students participate in the Elementary School Math Olympiads.

Class III

The course includes writing algebraic expressions and solving equations, three-dimensional geometry, ratio and proportion, and probability. Application of these topics is built-in throughout the course. Students also learn creative problem solving by participating in the Middle School Math Olympiad.

Class III & Class IV

The course includes solving and graphing linear equations and inequalities, exponents, polynomials, solving and graphing quadratic equations and solving systems of equations. During the year students develop and refine their problem-solving and critical thinking skills, and a variety of word problems and applications are introduced. Graphing calculators are introduced. Students participate in the Math Olympiad.

Class IV & V

All students will study the core topics of Algebra 2: functions (linear, quadratic, polynomial, radical, exponential, and logarithmic) and systems of equations. Some analytic geometry and data analysis will be included if time permits. The applications of the TI-84 Plus Silver Edition graphing calculator will be introduced. The algebraic and graphical aspects of each topic will be emphasized.

Class V & VI

In this course students study Euclidean geometry, including the properties of triangles, polygons, parallel lines, and circles. They solve problems involving similar figures, areas, volumes, symmetry, and triangle trigonometry, and learn the principles of logic by writing formal deductive geometric proofs. This course may also include the study of probability, combinatorics, and statistics.

Class VI & VII

In this course students continue to study functions, including polynomial, rational, exponential, logarithmic, and circular functions, and their applications. Graphing calculators are used throughout the course. More traditional analytic and algebraic methods are also emphasized so that students will understand different approaches and techniques. Other topics covered include transformations of graphs and inverses of functions, solving equations and inequalities, and trigonometry. In addition, polar coordinates, conic sections, sequences and series, and parametric equations are introduced if time permits. The department usually offers Precalculus sections that move at three different paces; the fastest pace is designated Honors Precalculus.

Class VII & VIII

AB and BC Calculus are both AP courses, and students are required to take the AP test in May. BC Calculus is a faster paced more demanding course. Beginning with the concepts of limits and continuity, students go on to learn the definition of the derivative and its applications, and progress to theory, techniques, and applications of integration. Additional topics are included as prescribed by the AP syllabus. Graphing calculators are used as a tool to enhance understanding of the concepts and facilitate problem solving.

Class VII & VIII

Students study the crucial concepts of the derivative and the integral, including their meaning in relation to both graphs and formulas. They also study applications of both concepts to a variety of real-world situations.