Home arrow Curriculum arrow Mathematics
Mathematics
Geometry
Grades:
9
Length:
One year
Prerequisites:
Algebra 1
Credit area:
Mathematics
Description:
Through practical applications, geometrical concepts are presented to show that geometry needs to be developed as an area of human activity. Topics begin with the basic concepts: points, lines and angles followed by polygons and polyhedrons, trigonometry, circles and coordinate geometry. Logic and critical thinking skills are emphasized as students develop a mathematical approach to problem solving. A scientifi c calculator is required for this course. T is course is designed to provide students with the prerequisite skills and conceptual framework necessary for further study in Algebra II or Advanced Algebra.
 
Algebra 2
Grades:
10
Length:
One year
Prerequisites:
Algebra I and Geometry, Recommendation from instructor
Credit area:
Mathematics
Description:
The first part of this course is designed to review and develop algebraic skills and concepts studied in Algebra I. Linear, quadratic, polynomial, exponential, and logarithmic functions are studied symbolically, graphically and numerically. In addition to traditional strategies for solving equations and simplifying expressions students will apply problem solving methods which utilize various types of technologies. Specifi cally, the graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. T is course is designed to provide students with the prerequisite skills and conceptual framework necessary for further study in IB1 Math Studies SL or IB1 Math SL.
 
Advanced Algebra
Grades:
10
Length:
One year
Prerequisites:
Strong grades in Algebra I and Geometry, Recommendation from instructor
Credit area:
Mathematics
Description:
This course continues to build upon the skills and concepts studied in Algebra I and Geometry by developing and applying algebraic strategies to solve a variety of challenging problems. Linear, quadratic, polynomial, exponential, logarithmic and trigonometric functions are studied symbolically, graphically and numerically. In addition to traditional strategies for solving equations and simplifying expressions students will apply problem solving methods which utilize various types of technologies. Specifically, the graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. Strategies for justifying algebraic arguments through deductive and inductive reasoning are developed. This course is designed to provide students with the prerequisite skills and conceptual framework necessary for further study in IB1 Math HL, IB1 Math SL or PreCalculus.
 
IB1 Math Studies Standard Level
Grades:
11
Length:
One year
Prerequisites:
Algebra 2,Recommendation from instructor
Credit area:
Mathematics
Description:
The first year of a two year course designed for students with varied mathematical backgrounds and abilities. A variety of mathematical concepts are developed through activities and projects focused upon building confi dence and encouraging an appreciation of mathematics in students whose future studies do not include mathematics as a major component. Core topics studied include functions, number and algebra, sets, logic, probability, statistics, and geometry. The graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. This course is designed to provide students with the prerequisite skills and conceptual framework necessary for further study in IB2 Math Studies SL.
 
IB1 Math Standard Level
Grades:
11
Length:
One year
Prerequisites:
Strong grades in Algebra 2 or Advanced Algebra,Recommendation from instructor
Credit area:
Mathematics
Description:
The first year of a two year course designed for students who already possess knowledge of algebraic skills and concepts, and who are equipped with the skills needed to apply basic mathematical techniques correctly. A variety of mathematical concepts are developed through activities and projects which focus upon developing skills and concepts while encouraging an appreciation of mathematics. Students considering careers in engineering, economics, business, psychology, and medicine will benefit from this course. Core topics covered include a continuation of functions (linear, quadratic, polynomial, exponential, logarithmic, trigonometric, and rational), number and algebra, matrices, and vectors. In addition to traditional strategies for solving equations and simplifying expressions, students will apply problem solving methods which utilize various types of technologies. Specifi cally, the graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. Students will complete several internally assessed pieces of independent work as part of their internally assessed portfolio requirement. This course is designed to provide students with the prerequisite skills and conceptual framework necessary for further study in IB2 Math SL.
 
IB1 Math Higher Level
Grades:
11
Length:
One year
Prerequisites:
Strong Grades in Advanced Algebra, Recommendation from instructor
Credit area:
Mathematics
Description:
The first year of a two year course designed for students with a very strong background in mathematics and who are competent in a range of analytical and technical skills. Students enrolled in this course expect to include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as physics, engineering and technology. The nature of this course is such that it focuses upon developing important mathematical concepts in a comprehensible, coherent and rigorous way. Students are encouraged to apply their mathematical knowledge to solving problems set in a variety of meaningful contexts. Development of each topic will feature justifi cation and proof of results. Students will develop insight into mathematical form and structure, and therefore, should be intellectually equipped to appreciate the links between concepts in diff erent topic areas. Core topics includes functions, binomial theorem, mathematical induction, sequences and series, trigonometry, matrices, complex numbers, vectors, and diff erential calculus. In addition to applying analytical methods for solving equations and simplifying expressions, students will learn problem solving methods which utilize various types of technologies. Specifi cally, the graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. Students are required to complete several internally assessed pieces of independent work as part of their portfolio. This course is designed to provide students with the prerequisite skills and conceptual framework necessary for further study in IB2 Math HL.
 
PreCalculus
Grades:
11
Length:
One year
Prerequisites:
Strong grades in Advanced Algebra,Recommendation from instructor
Credit area:
Mathematics
Description:
This course is designed for students with a very strong background in mathematics and who are competent in a range of analytical and technical skills. Students enrolled in this course will most likely include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as physics, engineering and technology. The nature of the course is such that it focuses upon developing important mathematical concepts in a comprehensible, coherent and rigorous way. Students are encouraged to apply their mathematical knowledge to solving problems set in a variety of meaningful contexts. Development of each topic will feature justification and proof of results. Students will develop insight into mathematical form and structure, and therefore, should be intellectually equipped to appreciate the links between concepts in diff erent topic areas. Topics include the study of polynomial, rational, logarithmic, exponential, trigonometric, parametric, polar, and piecewise functions. In addition to applying analytical methods for solving complex problems, students will learn problem solving methods which utilize various types of technologies. Specifically, the graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. This course is designed to provide students with the prerequisite skills and conceptual framework necessary for further study in AP Calculus AB.
 
IB2 Math Studies Standard Level
Grades:
12
Length:
One year
Prerequisites:
IB1 Math Studies SL
Credit area:
Mathematics
Description:
The second year of a two year course designed for students with varied mathematical backgrounds and abilities. A variety of mathematical concepts are developed through activities and projects focused upon building confi dence and encouraging an appreciation of mathematics in students whose future studies do not include mathematics as a major component. Core topics covered include a continuation of functions, number and algebra, sets, probability, statistics, geometry, formal logic, trigonometry, introductory differential calculus, and applications in finance. The graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. Successful completion of this two year course includes satisfactory completion of an internally assessed project and externally assessed examination.
 
IB2 Math Standard Level
Grades:
12
Length:
One year
Prerequisites:
IB1 Math Studies SL
Credit area:
Mathematics
Description:
The second year of a two year course that builds upon the skills and concepts studied in IB1 Math SL. A variety of mathematical concepts are developed through activities and projects which focus upon developing skills and concepts while encouraging an appreciation of mathematics in students whose future studies may include mathematics as a major component such as engineering, economics, business, psychology, and medicine. Core topics covered include functions, differential and integral calculus, probability, statistics and revision of past topics and IB examination papers. In addition to applying analytical methods for solving equations and simplifying expressions, students will learn problem solving methods which utilize various types of technologies. Specifically, the graphing calculator is required by students and is used to enhance the development and analysis of mathematical models and concepts. Students will also complete additional pieces of independent internally assessed work for their portfolio. Successful completion of this two year course includes satisfactory completion of the internally assessed portfolio and externally assessed examination.
 
IB2 Math Higher Level
Grades:
12
Length:
One year
Prerequisites:
IB1 Math
Credit area:
Mathematics
Description:
The second year of a two year course that builds upon the skills and concepts learned in IB1 Math HL. This course is intended for students with a very strong background in mathematics and who are competent in a range of analytical and technical skills. Students enrolled in this course will most likely include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as physics, engineering and technology. The nature of the course is such that it focuses on developing important mathematical concepts in a comprehensible, coherent and rigorous way. Students are encouraged to apply their mathematical knowledge to solving problems set in a variety of meaningful contexts. Development of each topic will feature justifi cation and proof of results. Students will develop insight into mathematical form and structure, and therefore, should be intellectually equipped to appreciate the links between concepts in different topic areas. Topics that will be studied include diff erential and integral calculus, probability and statistics, and revision of past topics and IB examination papers. Approximately 40 hours of the course will be dedicated to the study of one of the four optional topics: probability and statistics, abstract algebra(sets, relations, and groups), diff erential equations, or discrete mathematics. In addition, students will complete additional pieces of independent internally assessed work for their portfolio. Successful completion of this two year course includes satisfactory completion of an internally assessed portfolio and externally assessed examination.
 
AP Calculus AB
Grades:
12
Length:
One year
Prerequisites:
Strong grades in PreCalculus, Recommendation from instructor 
Credit area:
Mathematics
Description:
This course is intended for students with a strong background in algebra, trigonometry, and PreCalculus Students taking this course of en include mathematics as an integral part of their university study in such fi elds as computer science, business, engineering, medicine, and mathematical sciences. Students will develop an understanding of the underlying concepts of the derivative and the defi nite integral and apply methods for solving problems involving rates of change in the areas of engineering, business, economics, biology, and physics. This course emphasizes a multi-representational approach to calculus, with concepts, results, and real-life situations being expressed graphically, numerically, analytically, and verbally. The graphing calculator is required by students and will be used regularly to reinforce the relationships among the multiple representations of functions, to confi rm written work, to implement experimentation, and to assist in interpreting results. Successful completion of this course includes completion of an externally assessed examination.
 
© 2010
American International School of Guangzhou.
All rights reserved.