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Challenging MATH

(Mathematics Master Plan)

 

A highly dynamic and specialized Challenging Math Programme for math excellence.

 

Challenging Math 5

- 2 hours / week

- Class size :  5~7

- 4 weeks : S$220

- Registration fee : S$30

Challenging Math 6

 

 

Grade Placements

 

"Math excellence" Students

"Above-Average" Students

Algebra 1 + Lower Sec Math

-

±¹Á¦ G7 / °ø¸³ S1

Algebra 2 + Upper Sec Math

±¹Á¦ G7 / °ø¸³ S1

±¹Á¦ G8 / °ø¸³ S2

Pre Calculus + Additional Math

±¹Á¦ G8 / °ø¸³ S2

±¹Á¦ G9 / °ø¸³ S3

Calculus

±¹Á¦ G9 / °ø¸³ S3

±¹Á¦ G10 / °ø¸³ S4

AP Calculus

±¹Á¦ G10 / °ø¸³ S4

±¹Á¦ G11 / °ø¸³ JC1

 

 

Algebra (1) + Lower Sec Math  :    

4 weeks : S$220,    Registration fee : S$30,   2 hours / week,   Class size :  5~7

• Whole Numbers       Integers       Fractions Part1, Part2       Decimals       Percentage

Expression and Equations       Ratio and Proportion       Informal Geometry

Measurement       Graphing       Operations with Monomials and Polynomials

Perimeter and Area of Simple Geometrical Figures         Volume and Surface Area

Basic Geometrical Concept and Properties         Angle Properties of Polygons

Geometry        Geometrical Constructions         Pythagoras¡¯ Theorem

Volume and Surface Area         Statistics         Probability

 

Algebra (2) + E-Math

4 weeks : S$220,    Registration fee : S$30,   2 hours / week,   Class size :  5~7

Rules of Behavior for Numbers       Equations       Negative Numbers and Integers

Fractions and Rational Numbers       Exponents       Roots and Real Numbers

Algebraic Expressions       Coordinate Geometry

Mensuration – Arc Length, Sector Area, Radian Measure

Geometrical Properties of Circles       Vectors in Two Dimensions       Standard Deviation and Mean

Cumulative Frequency Distribution       More on Probability       Functions       Graphs

Systems of Two Equations       Quadratic Equations       Circles, Ellipses, and Parabolas

Polynomials       Series       Permutations, Combinations, and the Binomial Formula

Proofs by Mathematical Induction       Exponential Functions and Logarithms

Simultaneous Equations and Matrices       Imaginary Numbers

 

Pre Calculus + A-Math

4 weeks : S$220,    Registration fee : S$30,   2 hours / week,   Class size :  5~7

Algebraic Methods       Rational and Irrational Expressions       Graphing and Systems of Equations

Functions and Quadratic Equations       Complex Numbers the Quadratic Formula

Special Functions and Equations       Polynomial and Rational Functions

Exponential and Logarithmic Functions       

Simultaneous Equations, Remainder Theorem and Factor Theorem

Quadratic Equations and Functions        Partial Fractions        Indices, Surds and logarithms

Coordinate Geometry – The Straight        Trigonometrical Ratios and Equations

Further Trigonometrical Identities        Matrix and Its Application         The Binomial Theorem

Geometrical Proofs        Further Coordinate Geometry         Differentiation

Differentiation and Its Applications        Further Applications of Differentiation

Differentiation of Trigonometrical        logarithmic and Exponential        Integration

Applications of Integration       Trigonometry       Graphing Trigonometric Functions

Trigonometric Identities and Equations       Solving Triangles

Polar Coordinates and Parametric Equations       Conic Sections and Their Equations

Sequences, Series, and Counting

 

Calculus

4 weeks : S$280,    Registration fee : S$30,   2 hours / week,   Class size :  5~7

Limit and Continuity       The Derivative; The Process of Differentiation

The Mean-Value Theorem; Application of The First and Second Derivatives

Integration       Some Application of The Integral       The Transcendental Functions

Techniques of Integration       Some Differential Equations

The Conic Sections; polar Coordinates;  Parametric Equations

Sequences; Indeterminate Forms;  ImproperIntegrals       Infinite Series

Vector In Three-Dimensional Space       Vector Calculus       Functions of Several Variables

Gradients; Extreme Values; Differentials       Double and Triple Integrals

Line Integrals And Surface Integrals       Additional Differential Equations

 

AP Calculus

4 weeks : S$350,    Registration fee : S$30,   2 hours / week,   Class size :  5~7

Advanced Limits and Continuity      Advanced Differentiation      Graphs of Functions and Derivatives

Applications of Derivatives       More Applications of Derivatives       Advanced Integration

Definite Integrals       Areas and Volumes      More Applications of Definite Integrals       Series