MATHEMATICS
What is the nature of Mathematics at IGCSE level? IGCSE Mathematics at SJII is a curriculum that challenges students at all levels. Our goals include preparing students for whatever mathematics subject they choose in the IB and to give students the opportunity to extend themselves in developing a deeper appreciation of the discipline. Some of the more able students are also introduced to Additional Mathematics, a course that prepares them well for the rigours of higher level Mathematics at IB level. What is the approach to learning? Learning is student-centered. Students will learn through different teaching methods and styles, including pair and group work, activities which promote thinking skills and creativity and IT-based lessons. The emphasis is on building skills in mathematics based on a thorough understanding of mathematical principles and their application. Students will also be encouraged to undertake their own mathematical investigations under the guidance of their teacher, devise their own strategies for problem-solving and to raise questions relating to mathematical concepts and methods. What is the subject content? The following content will be used as a basis to help students achieve the outcomes described above. In this way, although students will become familiar with traditional topics in mathematics, these are seen as a vehicle for promoting mathematical thinking rather than being laboured over for their own sake. Extended Mathematics (International Mathematics) Area
Functions Geometry
Topics decimals, fractions, ratio, rounding, exponents, surds; Patterns expansion, factorisation, algebraic fractions, linear & quadratic equations & inequalities, simultaneous equations notation, composite, inverse, modulus,; graphs of functions lines, angles, polygons, symmetry, circle geometry, Pythagoras
Transformations Mensuration
transformation of graphs and geometric figures perimeter, area, volume, surface area
Number Algebra
Coordinate Geometry equation of a straight line, graphs of linear inequalities Statistics and Probability Set Theory Trigonometry Vectors
7
discrete, continuous and grouped data; measures of central tendency; measures of spread; nrobability - simple and compound events; Listing procedures notation and set operations; Venn Diagrams solution of triangles; Bearings; trigonometric ratios; trigonometric graphs; trigonometric equations graphical representations of vectors; basic mathematical operations with vectors; physical applications of vectors
