IP Math Syllabus (Integrated Programme Mathematics)

Students and parents new to IP (Integrated Programme) may be confused on what is the Mathematics syllabus of IP Math. Indeed, it is very confusing as every school has its own syllabus. In general, the syllabus as a whole is not that different from ‘O’ level Mathematics, but the order in which the school teaches is unique to each school.

In general, the topics can be divided as follows, following the famous assessment book “Mathematics (Integrated Programme)” by Wong-Ng Siew Hiong who is a teacher at RI. This is one of the very few IP Math books available in local bookstores.

Secondary 3 IP Math Syllabus

  1. Geometrical Properties of Circles
  2. Solutions to Quadratic Equations
  3. Matrices & Simultaneous Equations
  4. Quadratic Functions, Inequalities & Roots of Equations
  5. Sets
  6. Relations & Functions
  7. Indices & Surds
  8. Exponential, Logarithmic & Modulus Functions
  9. Polynomials & Partial Fractions
  10. Graphical Solutions & Transformations
  11. Circular Measure
  12. Plane Geometry
  13. Coordinate Geometry & Equations of Circles
  14. Linear Law
  15. Trigonometry
  16. Further Trigonometry

Secondary 4 IP Math Syllabus

  1. Binomial Theorem
  2. Probability
  3. Statistics
  4. Vectors
  5. Differentiation Techniques
  6. Differentiation and its Applications
  7. Integrated Techniques
  8. Applications of Integration
  9. Integration Applications — Area and Kinematics

The Aims of Additional Maths (New Syllabus)

Additional Mathematics is kind of important, if your child is intending to pursue any studies related to Mathematics in university. Business, Accounting, Economics, and of course Engineering and Physics are examples of courses requiring some Mathematics.

Source: http://www.seab.gov.sg/oLevel/2013Syllabus/4038_2013.pdf

AIMS
The syllabus is intended to prepare students adequately for A Level H2 Mathematics and
H3 Mathematics, where a strong foundation in algebraic manipulation skills and
mathematical reasoning skills are required.
The O Level Additional Mathematics syllabus assumes knowledge of O Level Mathematics.
The general aims of the mathematics syllabuses are to enable students to:
acquire the necessary mathematical concepts and skills for continuous learning in
mathematics and related disciplines, and for applications to the real world
• develop the necessary process skills for the acquisition and application of mathematical
concepts and skills
develop the mathematical thinking and problem solving skills and apply these skills to
formulate and solve problems
recognise and use connections among mathematical ideas, and between mathematics
and other disciplines
develop positive attitudes towards mathematics
make effective use of a variety of mathematical tools (including information and
communication technology tools) in the learning and application of mathematics
produce imaginative and creative work arising from mathematical ideas
• develop the abilities to reason logically, to communicate mathematically, and to learn
cooperatively and independently

New Additional Maths Syllabus (Syllabus 4047) TO BE IMPLEMENTED FROM YEAR OF EXAMINATION 2014

http://www.seab.gov.sg/oLevel/2014Syllabus/4047_2014.pdf

There are some minor changes to the A Maths Syllabus in 2014. Wishing everyone taking the new syllabus all the best!

Main Differences

Topics Added:

– knowledge of a^3+b^3=(a+b)(a^2-ab+b^2) and a^3-b^3=(a-b)(a^2+ab+b^2) is needed

Topics Removed:

– Intersecting chords theorem and tangent-secant theorem for circles removed

– exclude solving simultaneous equations using inverse matrix method