Mathematics Department
The Mathematics Program at ACS provides a rigorous standardsbased 4year curriculum offering three diploma tracks. The Honors Diploma program is consistent with the AERO and the U.S. Common Core Standards, while the International Baccalaureate (IB) Diploma program follows the International Baccalaureate syllabus. The Lebanese Baccalaureate (LB) Diploma program is in alignment with the official Lebanese Mathematics Curriculum.
The department emphasizes conceptual understanding, procedural and problemsolving skills, and the appropriate use of technology to augment and enhance the learning process while employing a variety of instructional strategies that encourage critical thinking and active student participation.
Mathematics Courses
GR  Honors Diploma Courses  IB Courses  LB Courses  
9  
10  
11 


 
12 



Course Descriptions
Geometry 9: Prerequisite: Completion of Middle School
This course is a yearlong study of Euclidean Geometry. The student will develop an understanding of geometric concepts and relationships in the context of deductive reasoning, inductive reasoning, and geometric modeling. Topics will include parallel and perpendicular lines, congruent and similar triangles, quadrilaterals, circles, coordinate geometry, and measurement of two and threedimensional figures. Making and evaluating conjectures, and developing and critiquing proofs will be central activities. A comprehensive algebra unit will also be covered in this course. This unit includes: linear equations and inequalities, systems of linear equations and inequalities, exponents, radicals, and polynomials.
Algebra II: Prerequisite: Geometry
This course offers a wide range of advanced algebraic concepts and emphasizes the study of functions. These include: linear, quadratic, exponential, logarithmic and rational functions. The course also prepares students for more advanced mathematics and introduces them to the study of trigonometry and its various applications.
Calculus: Prerequisite: PreCalculus
This course is designed to provide students with an introduction to calculus. It builds on the concepts of precalculus. The topics covered in this course include limits and continuity of functions, derivatives of functions, the definite integral, and their reallife applications. Students find derivatives numerically, represent derivative graphically, and interpret the meaning of a derivative in applications. Previously studied functions will be analyzed using calculus concepts. The relationship between the derivative and the integral is developed as well. Techniques of integration as well as applications of the integral are also covered. These include areas, volumes, length of a curve, and surface areas.
IB Courses
IB Math Studies I: Prerequisite: Algebra II
This course is a twoyear program offered for IB Diploma and Certificate students. The IB sets the syllabus and the external exam. The course is designed to build confidence and encourage an appreciation of mathematics in students who do not anticipate a need for mathematics in their future studies. The course concentrates on mathematics that can be applied to contexts related as far as possible to other subjects being studied, to common realworld occurrences and to topics that relate to home, work and leisure situations. The program covers algebra; sets, logic and probability; functions; geometry and trigonometry; statistics; an introduction to differential calculus; and financial mathematics.
IB Mathematics Standard Level I: Prerequisite: Algebra II
A twoyear program offered for students enrolled in the IB Diploma Program. The IB sets the syllabus and the external exam. The course aims to develop a sound grounding in mathematical skills and understanding to facilitate further study of mathematics and subjects that depend upon mathematical analysis, such as biology, medicine, psychology, and business. Topics covered include algebra, sequences and series, logarithms and exponents, binomial theorem, functions and graphs, coordinate geometry, trigonometry, simple differentiation and integration with applications, vectors, probability and statistics.
IB Mathematics Higher Level I: Prerequisite: Algebra II
This course is a twoyear program offered for IB Diploma and Certificate students. The IB sets the syllabus and the external exam. The course is designed for students with strong mathematical curiosity and/or those who expect mathematics to be a significant part of their university studies (i.e. physics, engineering, economics, architecture, technology, or mathematics itself). The course includes algebra, sequences and series, logarithms and exponents, binomial theorem, mathematical induction, complex numbers, functions and graphs, trigonometry, calculus: differentiation and integration with applications, vectors, statistics, discrete and continuous probability distributions, plus the optional topic of abstract algebra.
IB Math Studies Standard Level: Prerequisite: Algebra II
This course is a twoyear program offered for IB Diploma and Certificate students. The IB sets the syllabus and the external exam. The course is designed to build confidence and encourage an appreciation of mathematics in students who do not anticipate a need for mathematics in their future studies. The course concentrates on mathematics that can be applied to contexts related as far as possible to other subjects being studied, to common realworld occurrences and to topics that relate to home, work and leisure situations. The program covers algebra; sets, logic and probability; functions; geometry and trigonometry; statistics; an introduction to differential calculus; and financial mathematics.
IB Mathematics Standard Level: Prerequisite: Algebra II
A twoyear program offered for students enrolled in the IB diploma program. The IB sets the syllabus and the external exam. The course aims to develop a sound grounding in mathematical skills and understanding to facilitate further study of mathematics and subjects that depend upon mathematical analysis, such as biology, medicine, psychology, and business. Topics covered include algebra, sequences and series, logarithms and exponents, binomial theorem, functions and graphs, coordinate geometry, trigonometry, simple differentiation and integration with applications, vectors, probability and statistics.
IB Mathematics Higher Level Prerequisite: Algebra II
This course is a twoyear program offered for IB Diploma and Certificate students. The IB sets the syllabus and the external exam. The course is designed for students with strong mathematical curiosity and/or those who expect mathematics to be a significant part of their university studies (i.e. physics, engineering, economics, architecture, technology, or mathematics itself). The course includes algebra, sequences and series, logarithms and exponents, binomial theorem, mathematical induction, complex numbers, functions and graphs, trigonometry, Calculus: differentiation and integration with applications, vectors, statistics, discrete and continuous probability distributions, plus the optional topic of abstract algebra.
LB Courses
LB Math 9 (Brevet Math): Prerequisite: LB Math Grade 8
This course follows the program set by the Ministry of Education and prepares students for the official Brevet exam. The course includes number systems, operations on polynomials, linear equations, proportions, systems of equations, vectors and translation, right triangle trigonometry, coordinate and analytic geometry, geometric proofs, geometry of the circle, similar triangles and statistics.
LB Math 10: Prerequisites: LB Math 9 (Brevet Math)
This course follows the program set by the Ministry of Education and prepares students for the governmental Baccalaureate exam. The course covers essentially the following topics: set theory, real numbers, equations and inequalities, polynomials, vectors and lines, functions, and trigonometry.
LB Math 11: Prerequisite: LB Math 10
This course follows the program set by the Ministry of Education and prepares students for the governmental Baccalaureate exam. It includes the study of: limits and functions, derivatives and antiderivatives, circles in coordinate geometry, polynomials, trigonometry, sequences, 3D geometry, vectors, elementary probability, and complex numbers.
LB Math 12 (Bacc. IILife SciencesMath): Prerequisite: LB Math 11
This course follows the program set by the Ministry of Education and prepares students for the external Baccalaureate exam. The course builds on concepts introduced in the PreBacc. 11. Topics covered are calculus and functional analysis, complex numbers, statistics and probability, trigonometry, and 3D analytic geometry. The language of functions is used to deal with instantaneous change and infinite summation. The theory and application of derivatives and integrals is widely developed in this course.