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MATHEMATICS

Mathematics IGCSE
The IGCSE Math is a two year course, focusing on 5 main areas of study: Number; Algebra; Shape and Space; Probability and Data Handling; Using and an Applying Mathematics. Math IGCSE 1 is the first half of a two year course leading to the IGCSE examination. In the algebra section, students learn how to manipulate algebraic fraction, transform complicated formulae, solve simultaneous equations, and solve quadratic equations. As for geometry, students learn how to construct simple geometric figures, transformations, symmetry, and mensuration. As for trigonometry, students learn the Pythagoras theorem, basic trigonometric identities, the sine rule, and the use of radians. Finally, in the probability and data handling section of the IGCSE Math, students learn how to draw diagrammatic representations, calculate mean, mean mode, and range, and do simple calculations involving probability.


Math IGCSE a two year course leading to the IGCSE examination. In this course, students enforce the knowledge acquired in IGCSE 1. The latter part of this course reviews the topics learned and prepares the students for the IGCSE exams. It also prepares students for the IB mathematics courses. Students start this course off by learning about probability and sets. They go on to study functions, including inverse and compound functions. Students then study trigonometry, learning the cosine rule, trigonometry identities (such as cos2θ = cos2θ - sin2θ) and the application of trigonometry in practical situations. After completing trigonometry, students go on to study vectors. They study adding and subtracting vectors, multiplying vectors by scalars, and calculating the magnitude of vectors. Students then study matrices and transformations. The transformation includes reflection, rotation, translation, enlargement shear, stretch and their combinations. After that students study statistics. The last topic that students study in IGCSE Mathematics is Probability. Students study relations such as P(A) + P(A') = 1, P(AUB) = P(A) + P(B) - P(A∩B) and P(A|B) = P(A∩B) / P(B).

 

Mathematics IB Higher Level
Mathematics IBHL is a two year course leading to the IBHL examination. It is a very demanding course, catering for students with a good background in mathematics and competency in a range of analytical and technical skills. Students start this course by studying functions and equations. The topics studied include reciprocal functions, quadratic functions, exponential functions, and logarithmic functions. Students then study circle geometry. The study of circles leads them to study circular functions and trigonometric identities with proofs. Students then study calculus, covering topics as differentiation, integration (substitution and parts), and the differential equation. Students go on to study series, both arithmetic and geometric, learning how to calculate the sums to infinity and understanding the sigma notion. Consequently, students study complex numbers, learning conjugates, modulus and argument, the forms z = a + bi and z = rcosθ + isinθ, sums products and quotient of Complex numbers, and De Moivre's Theorem. Students then study transformations of graphs, learning how to reflect, stretch and translate graphs by modifying the equations. After that, students learn how to prove by mathematical induction, and apply that knowledge by proving the binomial theorem. The last topic that students learn in this course are vectors. This study includes displacements in the plane and in 3D, components of vectors, the use of i j k, the vector equation of a plane and distances in 2D and 3D between points, lines and planes.
Students continue this course by studying Statistics. In this topic, they study discrete and continuous data, sample standard deviation, and frequency tables. Student's then study Probability, learning such topics as combines events, mutually exclusive events, conditional probability and Bayes' Theorem for two events. Students then study counting principles (permutations and combinations) in order to study Discrete and Continuous probability distributions. Based on this, students study the normal distribution. Students then go on to study Matrices, learning addition, subtraction, multiplication of two matrices, identity matrix, the determinant, inverse of a square matrix, inverse of a composite. Students then study Transformations, covering linear transformations of vectors in two dimensions and their matrix representation, geometric significance of the determinant and compositions of linear transformations. Finally students study an option topic. It would be one of statistics; sets, relations and groups; discrete mathematics; analysis and approximation; Euclidean geometry and conic sections. The content of the program is subject to revisions by the IB Organization.

 

Mathematics IB Math Methods (Standard Level)
This two year course caters for students who anticipate a need for a sound mathematical background in preparation for their future studies. Prior to starting this course, students are expected to know basic concepts and to be equipped with the skills needed to apply simple mathematical techniques correctly. The course includes seven main areas of study: Number and Algebra; Functions and Equations; Circular Functions and Trigonometry; Vector Geometry; Statistics and Probability; Calculus and one option topic. The option topic will be one of: Statistical Methods, Further Calculus or Further Geometry. Students will also put together a portfolio of five assignments representing the following three activities: mathematical investigation, extended closed-problem solving and mathematical modeling. The content of the program is subject to revisions by the IB Organization.

 

Mathematics IB Math Studies (Standard Level)
This two year course is designed to build confidence and encourage an appreciation of math in students who do not anticipate a need for math in their future studies. Students embarking on this course need to be equipped with fundamental skills and a rudimentary knowledge of basic processes. The course is divided into seven main areas of study: Number and Algebra; Sets and Logic; Geometry and Trigonometry; Statistics and Probability; Functions; Financial Mathematics and an optional topic. The optional topic will be one of the following: Matrices and Graph Theory, Further statistics and Probability, or Introductory Differential Calculus. Students will also do a project involving the collection and/or generation of data, and the analysis and evaluation of that data. The content of the program is subject to revisions by the IB Organization.

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