Mathematics

This course is designed to engage students in learning mathematical concepts through collaboration and self-discovery. Topics to be covered include: integers, fractions, decimals, mixed numbers, percentages, and their related applications to real world problems. Equation solving, as a main thread, will be woven throughout the course to create connections to algebra. Ratios, rates, and proportions will be emphasized, and experimental and theoretical probability will be explored. Geometry concepts will include angles, area, circumference, perimeter, volume, and surface area.

This course will build off of the framework of Math 1 and add higher levels of mathematics in a collaborative learning environment focused on self-discovery and group sharing. Real world connections to functions and problem solving will be emphasized throughout the course. A large portion of the course will focus on early algebra including inequalities, equation solving, interpreting graphs, exponents, polynomials operations, factoring, systems of equations, and radicals. Students will also work with select topics in geometry and probability including perimeter, area, and volume.

Math 3x is a continuation of the Middle School mathematics curriculum designed to prepare students for the Upper School mathematics program. By individual investigation and group collaboration, students will delve into such topics as functions, rational expressions and equations, quadratics, and the Pythagorean Theorem. The concepts of factoring, systems of equations, and radicals will be further explored. Geometric relationships will be reviewed, with topics of probability further developed in the geometry unit. Real world applications are presented within the course content.

Math 3y is a continuation of the Middle School mathematics curriculum designed to prepare students for the Upper School mathematics program. By individual investigation and group collaboration, students will delve into such topics as quadratic, polynomial, rational, and exponential functions. Linear inequalities and systems of linear inequalities, in addition to non-linear systems of equations, will be studied. Right triangle relationships as well as coordinate geometry will be introduced, including an exploration of the concepts of similarity and congruence.

Geometry is an integrated course in plane and solid geometry which begins with a brief history of geometry and a discussion of logic and methods of proof. The usual theorems of Euclidean geometry are studied, and at appropriate times the natural extensions of solid geometry are made. Students are not required to memorize the proofs of theorems, but are expected to be able to construct good proofs of original problems. Much work is done with “numericals,” and considerable skill in algebra is necessary. Students apply the skills they studied in algebra to solve problems in a geometric context while focusing on the logic of their statements.