# Mathematics

### Credits: 9

As part of The Global School^{®}, the Mathematics Department seeks to incorporate some of the best mathematical pedagogy from around the world. Also, taking a page from some of Asia’s most successful systems, students build new knowledge from previously learned skills and become comfortable with multi-step problems. Our mission is to expand each student's quantitative reasoning skills in order to ensure success in their higher mathematical endeavors and in their postsecondary education. Students learn to face mathematical problems with confidence while becoming equipped with the necessary skills and strategies to be successful. Students are taught how to solve problems both with and without technology. Math courses are yearlong and, except for courses such as Statistics, are designed to be sequential. Due to the diverse backgrounds of entering students, all new students are placed in appropriate courses by the department chair. Enrollment in Honors, Advanced Placement, and post-Advanced Placement courses requires departmental permission.

Three years of mathematics are required, including successful completion of Algebra 1, Geometry, and Algebra 2. All students take mathematics through Grade 11. Students must pass and receive departmental permission before advancing to the next course. *Many colleges prefer to see mathematics through Grade 12.*

- ALGEBRA I
- HONORS ALGEBRA I
- EQUATIONS & FUNCTIONS
- GEOMETRY
- HONORS GEOMETRY
- HONORS ALGEBRA II
- ALGEBRA II
- COLLEGE PREPARATORY MATH
- STATISTICS & PROBABILITY
- AP STATISTICS
- PRECALCULUS
- HONORS PRECALCULUS
- CALCULUS: CALCULUS WITH APPLICATIONS
- AP CALCULUS AB: CALCULUS I
- AP CALCULUS BC PLUS: CALCULUS II
- MULTIVARIABLE AND VECTOR CALCULUS: CALCULUS III

## ALGEBRA I

**Credits**: 3

**Level**: Introductory

**Overview**: Topics in this course include linear equations and inequalities, graphing linear equations and inequalities, exponents, factoring, absolute value expressions and functions, and an introduction to quadratic equations. Students will develop foundational algebra skills and prepare for Geometry.

**Prerequisite**: Pre-Algebra

## HONORS ALGEBRA I

**Credits**: 3

**Level**: Accelerated Introductory

**Overview**: Topics studied in-depth in this accelerated course include linear equations and inequalities; graphing linear equations and inequalities; exponents; factoring; and absolute value expressions and functions. In addition, students are introduced to quadratic equations and right-angle trigonometry. Students will develop foundational algebra skills and prepare for Geometry.

**Prerequisite**: Pre-Algebra and departmental permission

## EQUATIONS & FUNCTIONS

**Credits**: 3

**Level**: Introductory

**Overview**: Through gradual pacing and an activity-based approach, students are introduced to key algebraic concepts: linear equations, systems of linear equations, exponent operations, quadratic equations and a brief introduction to radical calculations. The course utilizes lecture, activities, math videos and group work to prepare students for Algebra II.

**Prerequisite**: Algebra I

## GEOMETRY

**Credits**: 3

**Level**: Introductory

**Overview**: This course is an introduction to the basic elements of Euclidean geometry; measurement, proof development, congruency and similarity in two- and three-dimensional settings; area, volume, and other applications of geometry. Students will develop geometric reasoning skills, reinforce algebra skills and prepare for Algebra II.

**Prerequisite**: Algebra I

## HONORS GEOMETRY

**Credits**: 3

**Level**: Accelerated Introductory

**Overview**: Students in this accelerated program are introduced to the basic elements of Euclidean geometry; measurement, proof development, congruency and similarity in two- and three-dimensional settings; area, volume and other applications of geometry. Students will develop geometric reasoning skills, reinforce algebra skills, and prepare for Algebra II.

**Prerequisite**: Algebra I and departmental permission

## HONORS ALGEBRA II

**Credits**: 3

**Level**: Accelerated Intermediate

**Overview**: In this course, students will experience an in-depth study of the manipulation of algebraic quantities and solving equations and inequalities; recognizing, understanding, and graphing linear, quadratic, higher-degree and exponential functions as well as systems of equations and inequalities, including logarithms and matrices.

**Prerequisite**: Algebra I, Geometry and departmental permission

## ALGEBRA II

**Credits**: 3

**Level**: Intermediate

**Overview: **This course focuses on manipulation of algebraic quantities and solving equations and inequalities. Students will gain skill in recognizing, understanding, and graphing linear, quadratic, higher-degree and exponential functions as well as systems of equations and inequalities.

**Prerequisite: **Algebra 1 and Geometry

## COLLEGE PREPARATORY MATH

**Credits**: 3

**Level**: Intermediate

**Overview**: This course serves to reinforce algebra skills and prepare students for the next level through in-depth coverage of linear and quadratic equations, exponential and radical number concepts, and trigonometric topics. Students gain confidence and improved readiness for college math.

**Prerequisite**: Algebra I, Algebra II and Geometry

## STATISTICS & PROBABILITY

**Credits**: 3

**Level**: Intermediate, Grade 12 and postgraduate

**Overview**: Students will embark on the study of group data applied to a variety of real-world problems. Graphic, numeric, and algebraic analysis (with and without technology) and group projects will allow students to examine statistical and probability concepts from a broad perspective.

**Prerequisite**: Algebra I, Algebra II and Geometry

## AP STATISTICS

**Credits**: 3

**Level**: Advanced Placement

**Overview**: Students are exposed to four broad conceptual themes: exploring data – describing patterns and departures from patterns; sampling and experimentation – planning and conducting a study; anticipating patterns – exploring random phenomena using probability and simulation; and statistical inference – estimating population parameters and testing hypotheses. In addition to preparing students for the AP Statistics exam, this course prepares them to use their statistical knowledge to determine the validity of surveys and reports, analyze scientific data, and design experiments in future college-level work. The AP exam in May is mandatory.

**Prerequisite**: Algebra I, Geometry, Algebra II and departmental permission

## PRECALCULUS

**Credits**: 3

**Level**: Advanced

**Overview**: Emphasis in this course is on functions: linear, piece-wise, quadratic, higher-degree, rational, exponential, logarithmic, and trigonometric. Students will participate in an in-depth study of trigonometric identities.

**Prerequisite:** Algebra I, Algebra II and Geometry

## HONORS PRECALCULUS

**Credits**: 3

**Level**: Accelerated advanced

**Overview: **The emphasis in this accelerated course is on functions: linear, piece-wise, quadratic, higher-degree, rational, exponential, logarithmic and trigonometric. In addition, students will participate in an in-depth study of trigonometric identities, polar equations, conic sections and limits.

**Prerequisite: **Algebra I, Algebra II, Geometry and departmental permission

## CALCULUS: CALCULUS WITH APPLICATIONS

**Credits**: 3

**Level**: Advanced, Grade 11 or above

**Overview: **This course is the study of differentiation and integral and how both functions relate to the business world. Students use graphic, numeric and algebraic analysis with and without technology to develop foundational calculus skills with business applications.

**Prerequisite: **Algebra I, Algebra II, Geometry, Precalculus and departmental permission

## AP CALCULUS AB: CALCULUS I

**Credits**: 3

**Level**: Advanced Placement, Grade 11 or above

**Overview: **This college-level course is intended for students who wish to develop a strong base understanding of the concepts of calculus. Topics include limits, calculating derivatives and integrals (polynomial, rational, logarithmic, trigonometric, and inverse trigonometric functions), maxima and minima, slope fields, exponential growth, and volumes of solids. Students will perform graphic, numeric, and algebraic analysis with and without technology and prepare for the AP Calculus AB exam. The AP exam in May is mandatory.

**Prerequisite: **Precalculus and departmental permission

## AP CALCULUS BC PLUS: CALCULUS II

**Credits**: 3

**Level**: Advanced Placement, Grade 12

**Overview: **This college-level course builds on topics learned in Calculus I. This course goes beyond the curriculum for AP Calculus BC in depth and breadth. Topics include integration by parts, integration by trigonometric substitutions, Euler's Method, differential equations, logistics growth, sequence, series, polynomial approximations using series, Maclaurin and Taylor Series, and parametric, polar, and vector functions. Students will perform graphic, numeric, and algebraic analysis with and without technology and prepare for the AP Calculus BC exam. The AP exam in May is mandatory.

**Prerequisite: **AP Calculus AB (Calculus I) and departmental permission

## MULTIVARIABLE AND VECTOR CALCULUS: CALCULUS III

**Credits**: 3

**Level**: Post-Advanced Placement

**Overview: **A college-level course focusing on multivariable and vector applications of calculus, this course will cover topics including vectors and planes, surfaces in space, vector-valued functions, differential calculus, functions of several variables, multiple integration, vector fields, Green's Theorem, and Stoke's Theorem. Through graphic, numeric and algebraic analysis (with and without technology) students will expand the knowledge learned in prior math courses, especially Calculus I and II.

**Prerequisite: **AP Calculus BC (Calculus II) and departmental permission