Workshops
Join us for some fun and enrichment activities during the holiday and improve your Mathematics at the same time!
Besides the regular weekly math tuition classes, workshops are held regularly during the holidays to help students to catch up or have a headstart for the following term. Do keep a look out at this space for our upcoming workshops!
Programme Outline
Secondary 1
Topic(s): Basic Algebra
Student will master:

evaluation of algebraic expressions and formulae

translation of simple realworld situations into algebraic expressions

recognising and representing patterns/relationships by finding an algebraic expression for the nth term

addition and subtraction of linear expressions

use brackets and extract common factors
Secondary 2
Topic(s): Algebraic Expressions and Formulae
Student will master:

factorisation of linear expressions of the form ax + bx + kay + kby

expansion of the product of algebraic expressions

changing the subject of a formula

finding the value of an unknown quantity in a given formula

factorisation of quadratic expressions

multiplication and division of simple algebraic fractions

addition and subtraction of algebraic fractions with linear or quadratic denominator
Secondary 3 E Math
Topic(s):

Functions and Graphs

Equations and Inequalities
Student will master:

graphs of quadratic functions and their properties:

positive or negative coefficient of

maximum and minimum points

symmetry

sketching the graphs of quadratic functions

solving quadratic equations in one unknown by

factorisation (revision)

use of formula

completing the square

graphical methods

solving fractional equations that can be reduced to quadratic equations
Secondary 4 E Math
Topic(s):

Probability

Set Language and Notation

Sec 3 topic(s) Revision
Student will master:

probability as a measure of chance

probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)

probability of simple combined events (including using possibility diagrams and tree diagrams, where appropriate) addition and multiplication of probabilities (mutually exclusive events and independent events)

use of set language and notation

union and intersection of two sets

Venn diagrams

Sec 3 topic(s) as per request by student
Sec 3 IP/AMath
Topic(s):

Polynomials and Partial Fractions

Indices and Surds
Student will master:

Multiplication and division of polynomials

Use of remainder and factor theorems

Factorisation of polynomials

Solving cubic equations

Partial fractions with cases

Four operations on indices and surds, including rationalising the denominator

Solving equations involving indices and surds
Sec 4 IP/AMath
Topic(s): Differentiation
Student will master:

Derivative of f(x) as the gradient of the tangent to the graph of y = f(x) at a point

Derivative as rate of change

Use of standard notations f′(x), f′′(x),

Derivatives of x to the power of n, for any rational n, sin x, cos x, tan x, ex, and ln x, together with constant multiples, sums and differences

Derivatives of products and quotients of functions

Derivatives of composite functions

Increasing and decreasing functions

Stationary points (maximum and minimum turning points and stationary points of inflexion)

Use of second derivative test to discriminate between maxima and minima

Applying differentiation to gradients, tangents and normals, connected rates of change and maxima and minima problems