Room 308, 3/F Chevalier House, 45-51 Chatham Road South Tsim Sha Tsui, Kowloon, Hong Kong Tel: (852) 3165 8600 Fax: (852) 3165 8608
IGCSE Mathematics Time-table Course IGCSE Mathematics (Regular) IGCSE Mathematics (Revision) IGCSE Mathematics (Revision)
Lessons 40 4 4
Time 13:30 – 15:00 (Sat) 13:30 – 15:00 (Sat) 13:30 – 15:00 (Sat)
Course Starts nd 2 Oct 2010 th 9 Dec 2010 th 7 Apr 2011
Number and Algebra Strand
IGCSE Mathematics - Lesson Plan Topics Week 1-4 Number Number manipulation Prime numbers, factors, multiples Indices, powers, roots and surds Natural numbers, integers, rational and irrational numbers Weights, measures and money Fractions, decimals, ratio proportional and percentage Expressing numbers to a given degree of accuracy Numbers in standard form Week 5-8 Sets Set language and notation Union and intersection of sets Number of elements in a set Complementary sets Subsets Universal set, null set Venn diagram and their logical applications Use of symbols to represent sets Week 9-12 Algebra Basic operations and rules of indices Construction of formula and substitution Factorisation of simple algebraic expression Use of Factor Theorem Algebraic fractions Solutions of equations with unknowns Simultaneous equation with two unknowns Solving linear inequalities and graphs Idea of sequence Week 13-16 Functions Function of a variable Function as mapping Functional notations Domain and range of a function Composite and inverse functions Variation, direct and indirect proportion Cartesian coordinates Graphical treatment of equations Tangents and gradients Differentiation of gradients, rates of change, maxima
Fee (HK$) HK$1000 (4 lessons) HK$1000 (4 lessons) HK$1000 (4 lessons)
Details Theory and Multiple Choices
Theory and Multiple Choices
Theory and Multiple Choices
Theory and Multiple Choices
Room 308, 3/F Chevalier House, 45-51 Chatham Road South Tsim Sha Tsui, Kowloon, Hong Kong Tel: (852) 3165 8600 Fax: (852) 3165 8608
Week 17-20
Week 21-24
Week 25-28
Week 29-32
Week 33-36
Week 37-40
and minima and stationary points Applications to linear kinematics Matrix Representation of data by matrix Addition and multiplication of matrix Multiplication by scalar Unit (identity) matrix and zero (null) matrix Determinants and inverses of 2x2 matrices Concept of singular and non-singular Transformation of plane Combination of transformation Geometry Geometrical properties of Euclidean space Angle properties of parallel lines, triangles and polygons Properties of the parallelogram, rectangle, square, rhombus, trapezium and kite Symmetry about a point, line or plane Use of pythagoras’theorem in 2D and 3D Areas and volumes of similar figures Congruent shapes Chord, angle and tangent properties of circles Loci in 2 dimensions Angle bisector and perpendicular bisector Mensuration Length, area and volume Mensuration of 2D shapes Mensuration of 3D shapes Arc length, area of a sector of circle Vectors Scalar and vector quantities Understand and use vector notation Representation of vector by line segment Parallel vectors, unit vectors Sum and difference of vectors Modulus of vectors Multiplication of vectors by scalar Resultant of two or more vectors Vector methods to geometrical problems Multiplication of a vector by a matrix Trigonometry Use of sines, cosines and tangents Solutions of problems in 2D and 3D Angle of elevation and depression; bearings Statistics and probability Graphical representation of numerical data Mean, median, mode for discrete data Calculation of mean Determination of modal class and median Probability Addition and multiplication rule of probabilities Conditional probabilities
Theory and Multiple Choices
Theory and Multiple Choices
Theory and Multiple Choices
Theory and Multiple Choices
Theory and Multiple Choices
Theory and Multiple Choices