Mathematics

Emphasis in the course is on building a strong number sense and representing or comparing data visually and mathematically. Concepts include operations with decimals and fractions, ratios and unit rate, graphing on the coordinate plane, measures of central tendency and area of polygons.

Students work individually and in groups to continue to develop problem-solving strategies, mathematical vocabulary and critical thinking skills. Students develop skills to share their process, rationale and results with others verbally, visually and in written form. Homework is assigned daily, and quizzes and tests are given at frequent and appropriate intervals throughout each unit.

The textbook is Math in Focus (Singapore Math) Course 1. Supplementary notes and activities are provided by the instructor.

In this course, emphasis is on solidifying math facts and furthering the understanding of number theory. Algebraic concepts, sequences and series, and number patterns are introduced. Students work individually and in groups to continue to develop problem-solving strategies, mathematical vocabulary and critical thinking skills. Measurement, graphing on a coordinate plane, one and two-step equations are some of the topics the students get exposure to in this class.

Standards include the use of proportions to solve problems, converting and comparing positive and negative fractions, decimals and percentages, and analyzing slope as a rate of change when given graphs or tables. Homework is assigned daily, and quizzes and tests are given at frequent and appropriate intervals throughout each unit.

The textbook is Math in Focus (Singapore Math) Course 2. Supplementary notes and activities are provided by the instructor.

This is a high school level course.

Placement in this course requires mastery of the concepts that are emphasized in Course 3. Emphasis is on applying algebraic skills to a variety of concepts in algebra, including expressions and functions, linear equations, linear and nonlinear functions, equations of linear functions, linear inequalities, systems of linear equations and inequalities, exponents and exponential functions, polynomials, quadratic functions and equations. Students are immersed in problem-solving that requires the use of new skills. Homework is assigned daily, and quizzes and tests are given at frequent and appropriate intervals throughout each unit.

The textbook is Glencoe Algebra 1, published by McGraw-Hill^®. Supplementary notes and activities are provided by the instructor.

The focus of this course is on the manipulation of algebraic expressions, equations and inequalities together with the application of these skills to problem solving. By the end of the course, students will be able to factor polynomials, graph linear equations, solve systems of linear equations, understand functions, use rational and irrational numbers, solve and graph quadratic equations and use exponential functions.

Geometry introduces students to the logic of mathematics and the development of formal and informal proofs. Students study topics in Euclidean geometry including points, lines, angles, polygons, circles, congruence, similarity, area, volume and right-triangle trigonometry. This course incorporates the use of coordinate geometry and algebra throughout.

The pace of Algebra II & Trigonometry is fast, and students must be an independent math learners. During the first semester, students focus on applying their algebraic skills to evaluate, transform, and solve quadratic, polynomial, rational, logarithmic and exponential functions. Students also learn to use conic sections and explore sequences, series, probability, and statistics.

During the second semester, students focus on trigonometry. Topics include the unit circle, right triangles, graphs of trigonometric functions and trigonometric identities. This course prepares students for Precalculus & Analysis.

The focus of study in Precalculus is advanced applications and techniques for solving and analyzing functions. Students master solving, analyzing and graphing functions including polynomial, rational, logarithmic, exponential, trigonometric and piecewise continuous functions. They also explore sequences, series, vectors, statistics and probability. This course prepares students for Principles of Calculus.

The pace of Precalculus & Analysis is fast, and the student must be an independent math learner. Students explore and apply applications of functions, binomial expansions, factorials, probability and statistics. Students also learn multi-dimensional mathematics including vector and matrix analysis. Students study number theory, induction, limits and begin exploring derivatives. This course will prepare students for Calculus I.

In Statistics, students learn tools for collecting, analyzing, and drawing conclusions from data. Students are introduced to four broad conceptual themes–exploring data, planning a study, anticipating patterns in advance and statistical inferences.

Principles of Calculus develops critical thinking through exploration of functions with a calculus lens. Students learn to evaluate limits, explore derivative rules and apply them to optimization, related rates and graphing. They also explore slope fields and be introduced to integrals and their applications. This course prepares students for Calculus I.

Calculus I focuses on deepening critical thinking through application in calculus. Course topics include in-depth analysis of and applications of limits, differential and integral calculus. This course prepares students for Calculus II.

Calculus II focuses on furthering student understanding of differential and integral calculus through the study of topics of parametric equations with polar coordinates, sequences and series as well as their applications. Other topics may include discrete mathematics, in-depth differential equation or multi-variable calculus. This course prepares students for a variety of higher-level college math courses.