# 数学

## מָתֶמָטִיקָה

## Department of 数学

The 数学 curriculum provides a sequence of courses designed to meet graduation requirements and college admissions expectations for students of varying abilities and learning styles. Throughout the curriculum the following skills are developed and refined: oral and written communication skills, problem solving skills and reasoning skills. Emphasis is placed on an analytical, 图形化的, and numerical approach using 图形 calculators as the central tool.

Each student should possess a TI-83 Plus or TI-84 图形 calculator for use in the mathematics courses. This 图形 calculator will be the calculator used throughout the four-year high school sequence in mathematics.

The course offerings are broad in scope to ensure that each student is properly challenged and motivated to do his/her best. 大一的时候, acceptance into honors or accelerated courses is based upon junior high recommendations and performance on high school entrance exams. Acceptance into courses following freshman year is based upon teacher recommendations and prior high school grades in mathematics.

Students are required to complete three years of a mathematics sequence for graduation. Students interested in pursuing math/science in college are encouraged to take a mathematics course their senior year.

## 课程

Algebra 1 Modified is a highly structured introduction to algebra. Topics studied include: operations with variables, 求解方程, positive and negative numbers, 公式, operations with polynomials, 保理, 图形, 方程 with two variables, working with algebraic fractions, decimals and percents, squares and square 根, and quadratic 方程.

**Homework Requirement: 1-2 hours per week**

Algebra 1 is the first year or a college preparatory sequence. Topics studied include operations with variables, 数轴, solving linear 方程, writing and 图形 linear 方程, solving systems of 方程, operations with polynomials, 保理, operations with algebraic fractions, 功能, 根, 激进分子, and quadratic 方程. Special emphasis is given to real life applications and connections to geometry.

**Homework Requirement: 2-3 hours per week**

Algebra 1 Honors is the first year of a college preparatory sequence, which includes advanced Placement Calculus. Topics studied include basic operations with real numbers, solving linear 方程 and inequalities, graphs and 功能, polynomials and 保理, operations and 方程 with rational expressions, irrational numbers and 激进分子, quadratic 方程 and 功能, 绝对值, and composite 功能. Some topics are taken from advanced algebra.

**Homework Requirement: 3-4 hours per week**

Geometry 2 is the second year of a college preparatory sequence. It is algebra-based, emphasizing deductive reasoning. Topics covered include congruent triangles, 垂直, 平行线, 四边形, 多边形, 相似的多边形, the Pythagorean Theorem, 圈, area, 和卷.

**Homework Requirement: 2-3 hours per week**

Geometry 2 Modified is a highly structured introduction to geometry. A review of algebraic concepts is stressed with special emphasis given to the solution of algebraic 方程 and their application to geometry. Topics studied include triangles, 垂直, 平行线, 四边形, 相似的多边形, the Pythagorean Theorem, 圈, area, 和卷.

**Homework Requirement: 3-4 hours per week**

Geometry 2 Honors is a fast paced, in-depth course that is proof-oriented. Topics covered include congruent triangles, 垂直, 平行线, 四边形, lines and planes in space, 多边形, 相似的多边形, the Pythagorean Theorem, 圈, area, 和卷.

**Homework Requirement: 3-5 hours per week**

Algebra II/Trigonometry 3 Modified is highly structured introduction to algebra and trigonometry. This course includes a review of real numbers, first degree 方程 and inequalities in one variable, 特殊的产品, 保理, 方程, fractions and fractional 方程, graphs of linear 方程, 功能 and relations, systems of linear 方程 and inequalities, 矩阵, exponents and 激进分子, quadratic 方程, and the trigonometry of right triangles.

**Homework Requirement: 3-5 hours per week**

Algebra/Trigonometry 3 is the third year of a college preparatory sequence. Topics studied include the real numbers, first degree 方程 and inequalities in one variable, 特殊的产品, 保理, algebraic fractions and fractional 方程, graphs of linear 方程, 功能 and relations, systems of linear 方程 and inequalities, 矩阵, exponents and 激进分子, quadratic 方程, sequences and series, permutations and combinations, and circular and trigonometric 功能.

**Homework Requirement: 3-4 hours per week**

Pre-Calculus 3 Honors studies the topics of linear and quadratic 功能 and inequalities, the conic sections, polynomials and rational 功能, 激进的功能, composite and inverse 功能, exponential and logarithmic 功能, trigonometric 功能, sequences and series, binomial expansion, 和决定因素.

**Homework Requirement: 3-5 hours per week**

Pre-Calculus 4 completes a four-year college prep core sequence, which gives a firm foundation for the study of college calculus. Topics studied include a review of the trigonometric 功能 and their graphs, applications of trigonometry, topics from analytic geometry, the conic sections, systems of 方程 and inequalities, polynomial and rational 功能 and 限制, and an overview of vectors and polar coordinates.

**Homework Requirement: 3-4 hours per week**

Advanced Placement Calculus AB prepares students to take the AP Calculus AB examination. Following the College Board’s suggested curriculum designed to parallel college-level calculus courses, AP Calculus AB provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications, and also requires additional knowledge of the theoretical tools of calculus. Topics studied include analytic geometry, 限制, 导数, 集成, transcendental 功能 and applications of 导数 and of the integral.

**Homework Requirement: 3-5 hours per week**

Advanced Placement Calculus BC prepares students to take the AP Calculus BC examination. Following the College Board’s suggested curriculum designed to parallel college-level calculus courses, AP Calculus BC provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications, and also requires additional knowledge of the theoretical tools of calculus. This course assumes a thorough knowledge of elementary 功能, and covers all of the calculus topics in AP Calculus AB as well as the following topics: vector 功能, parametric 方程, and polar coordinates; rigorous definitions of finite and nonexistent 限制; derivatives of vector 功能 and parametrically defined 功能; advanced techniques of 集成 and advanced applications of the definite integral; and sequences and series.

**Homework Requirement: 4-6 hours per week**

This course includes a study of vectors, 矩阵, and linear transformations and is typically intended for students who have completed AP Calculus. It explores extensively what one can do with these objects, both in a pure and applied sense. Throughout it builds on prior knowledge from geometry and algebra (and a smidge from calculus). The course fosters 数学 habits of mind (such as abstracting from computation, trying to make arguments general, 和证明).

*Homework Requirement*: 4-6 hours per week

Following the College Board’s suggested curriculum designed to parallel college-level statistics courses, AP Statistics introduced students to the major concepts and tools for collecting, 分析, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference.

*Homework Requirement*: 3-4 hours per week

Following the College Board’s suggested curriculum designed to mirror college-level computer science courses, AP Computer 科学 A courses provide students with the logical, 数学, and problem-solving skills needed to design structured, well-documented computer programs that provide solutions to real-world problems. These courses cover such topics as programming methodology, 特性, and procedures; algorithms; data structures; computer systems; and programmer responsibilities.

**Homework Requirement: 4-6 hours per week.**