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###### 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 head-start for the following term. Do keep a look out at this space for our upcoming workshops!

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14th March to 22nd March 2020

Frequency and Duration: 4 x 2 hours

Cost: \$320 for all levels

Promotions:

1. Bring a friend and enjoy \$80 off for you and your friend.

2. Enjoy \$80 off when you sign up for regular class with us.

###### Secondary 1

Topic(s): Basic Algebra

Student will master:

• evaluation of algebraic expressions and formulae

• translation of simple real-world 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

• multiplication and division of simple algebraic fractions

• addition and subtraction of algebraic fractions with linear or quadratic denominator

###### Secondary 3 E Math

Topic(s):

1. Functions and Graphs

2. Equations and Inequalities

Student will master:

• graphs of quadratic functions and their properties:

1. positive or negative coefficient of

2. maximum and minimum points

3. symmetry

• sketching the graphs of quadratic functions

• solving quadratic equations in one unknown by

1. factorisation (revision)

2. use of formula

3. completing the square

4. graphical methods

• solving fractional equations that can be reduced to quadratic equations

###### Secondary 4 E Math

Topic(s):

1. Probability

2. Set Language and Notation

3. 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/A-Math

Topic(s):

1. Polynomials and Partial Fractions

2. 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/A-Math

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

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