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Overview of our programme
Hwa Chong Institution (High School Section) offers a seamless, 4-year Integrated Mathematics programme for our students on the Integrated Programme (IP). In the process, the department merges the current GCE 'O' Level Mathematics (4016) and GCE 'O' Level Additional Mathematics (4038) syllabuses, in tandem with the school¡¯s overarching philosophy of allowing students to explore their interest during the first two years, moving on to develop passion in the next two years and finally consolidating their knowledge and skills in the last two years. In addition, emphasis will also be placed on the thinking framework ¨C critical thinking, creative and caring thinking ¨C that cuts across all curricula.

The IP Mathematics programme aims to equip students with necessary mathematics knowledge and skills using a variety of pedagogical approaches, infused with critical, creative and caring thinking skills. The programme is designed in order to provide opportunities for applications and transfer of knowledge and skills learnt through active students¡¯ involvement and a balanced implementation of various modes of assessment.

Differentiation for the gifted and talented
To cater to the gifted and mathematically talented students, the mathematics curriculum will be differentiated for these students through content (both in terms of breadth and depth through individualisation, interdisciplinary studies and infusion of affective education), process (a more rigorous student-centred approach will be adopted), product (teachers provide real context and students to create outcomes) and environment (authentic learning environment and student-centeredness).

The roadmap of the integrated mathematics curriculum is shown as follows:

Road Map For IP Mathematics

 

Sec 1

Sec 2

Sec 3

Sec 4

T1

Foundation Skills
1.Overview

Arithmetics I
1.Numerals and     Operations
2.More Arithmetic

Algebra I
1.Basic Algebra

Algebra II           1.Monomials & Polynomials              2.Expansion &     Factorisation
3.Quadratic Equations
4. Algebraic Manipulations

Arithmetics II
1.Arithmetic Problem Solving
2. Financial Literacy

Pre-Calculus I
1.Simultaneous Equations
2.Advanced Algebraic Manipulation
3.Quadratic Equations and Inequalities
4.Remainder and Factor Theorem
5.Indices and Surds
6. Logarithmics, exponential
7. Matrices
(Self Study)


Simple Counting
1.Binomial Theorem

Calculus I
1.Differentiation
2.Application of Differentiation

Trigonometry IV
1.Circular Measure (Self Study)

 

 

 

 

 

T2

Algebra I
2.Algebraic Formulae
3.Linear Algebraic Equations
4.Linear Inequalities      5.Algebra and Indices

Statistics I
1.Data Analysis and Statistics in Real Life

Geometry II
1.Congruency and     Similarity                     2.Geometrical     Properties of Circles
3. Plane Geometry

Algebra III
1. Further Indices
2. Coordinate Geometry and Linear Graphs
3. Simultaneous Linear Equations

Pre-Calculus I
7. Logarithmics, exponential

Trigonometry III

1.2D and 3D problems
2.Trigonometry Ratios
3. Trigonometry Identities
4. Graphs of Trigonometric Functions

Pre-Calculuc II
1.Variations
(Self Study)

Calculus II
1.Basic Integration
2.Application of integration
3.Kinematics

Trigonometry IV
1. Further Trigonometry

Simple Counting
2.Probability (Self Study)

 

 

 

 

 

T3

Statistics I
ACE Package Presentation

Foundation Skills 2.IT skills

Trigonometry I
1.Pythagoras’ Theorem

Geometry I
1.Mensuration
2.Geometrical Properties of Polygons

Trigonometry II
1. Pythagoras' Theorem
2. Numerical Trigonometry
3.Elevation and Depression

Pre-Calculus II
2.Coordinate Geometry
3.Linear Law
4.Function & Modulus Functions
5.Standard Graphs

Calculus I
3.Further Differentiation

Calculus II
4.Partial Fractions
5.Futher integration

Vectors
1.Vector (Blended Learning)

 

 

 

 

 

T4

Sets
1. Set Notations
2. Venn Diagrams

Statistics II
1.Mean and Standard Deviation
2.Distribution of Data
3.Higher Statistics

Arithmetic II
2. Financial Mathematics
              or          Statistics II
3. Higher Statistics

Revision

Revision

 

For more information or enquires on IP Mathematics for (SBGE), kindly email Ms Gwee Hwee Ngee [mailto: gweehn@hc.edu.sg].

Structure integrated Programme

For students taking this programme, they will follow the GCE ¡®O¡¯ Levels syllabuses.

You can click on the link to access the latest syllabuses for Mathematics (4016) and Additional Mathematics (4038) for 2008.

Syllabus/Year

Mathematics 4016/2010

Additional Mathematics 4038/2010