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Mathventures Course for Sec 3 & 4 A-Math

A programme designed to make advanced math concepts simple to understand.

Upper Secondary A-Math

Schedule
Secondary 3 A-Math: Tue 5.00 pm - 7.00 pm
Thu 7.15 pm - 9.15 pm

Secondary 4 A-Math: Fri 7.15 pm - 9.15 pm
Sat 3.30 pm - 5.30 pm

Rates (Weekdays)
Upper Sec: $340 per month (4 x 2h class)

Rates (Weekends)
Upper Sec: $360 per month (4 x 2h class)

Quadratic and Fractional Equations
- Concept of Perfect Squares
- Graph Sketching using Perfect Squares
- Conditions for Quadratic Curve to Lie Completely or Above the x-axis

Equations and Inequalities
- Nature of Roots
- Conditions for Curve to be Always Positive or Negative (Discriminant)
- Solving Quadratic Inequalities

Surds
- Irrational Numbers
- Laws of Surds
- Conjugate Surds
- Rationalising the Denominator

Polynomials, Cubic Equations and Partial Fractions
- Degree of Polynomials
- Evaluating Polynomials
- Long Division of Polynomials
- Remainder and Factor Theorem
- Cubic Expressions, Equations and Identities
- Proper and Improper Algebraic Fractions
- Partial Fractions

Binomial Theorem
- Binomial Expansions and Pascal's Triangle
- Factorials
- Binomial Coefficient

Exponential and Logarithmic Functions
- Surd Indices and Mathematical Constant, 'e'
- Converting Logarithms to Exponential Form
- Common and Natural Logarithms
- Special Properties of Logarithms
- Exponential and Logarithm Graphs and Functions

Coordinate Geometry
- Midpoints and Perpendicular Bisector
- Parallel Lines and Collinearity
- Perpendicular Lines and Gradient
- Area of Rectilinear Figures
- Equation of Circles

Linear Law
- Converting Non-Linear Equation to Linear Form
- Applications of Linear Law

Trigonometric Functions and Graphs
- Ratios of Special Angles
- Ratios of General and Basic Angles (ASTC)
- Ratios of Complementary and Negative Angles
- Trigonometric Functions and Graphs
- Cosecant, Secant, and Cotangent

Trigonometric Equations and Identities
- Principal Values
- Trigonometric Identities
- R-Formulae

Differentiation
- Rules of Differentiation
- Power Functions, Chain Rule, Product Rule, Quotient Rule
- Higher Derivatives
- Increasing and Decreasing Functions

Applications of Differentiation
- Equations of Tangents and Normals
- Rates of Change
- Stationary Points
- Maximum and Minimum Problems

Differentiation of Trigonometric, Exponential and Logarithmic Functions
- Derivatives of Sine, Cosine and Tangent
- Derivatives of Exponential Functions
- Derivatives of Logarithmic Functions
- Further Applications of Differentiation

Integration
- Rules of Integration
- Integration of Trigonometric Functions
- Integration of Exponential Functions

Application of Integration
- Definite Integrals
- Area Under Curves

Kinematics
- Applications of Differentiation in Kinematics
- Applications of Integration in Kinematics

Proofs in Plane Geometry
- Proofs using Congruent and Similar Triangles
- Proofs using Quadrilateral Properties
- Proofs using Circle Properties

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Important Information

After the End of Year examinations, classes will continue (for Secondary 3 Classes) to begin preparing our students for the following year's topics for O levels.

There will be no classes for the first week of the June holidays (29 May to 4 June) due to centre closure, and classes will resume on the 5th of June (Monday).

During the end of year holidays, there will be two runs of Holiday classes so that students that are away for holiday can join the sessions.

When you have found a course for your child, please 'Talk to Us' to schedule a quick consult so that we can register your child and understand his/her needs better.

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