### Punggol Tuition for Secondary 1,2,3,4 GCE O-Level Mathematics (A and E)

Tuition Course information, Outline and Introduction to GCE O-level Mathematics Syllabus and Curriculum for Secondary Schools. MOE SEAB GCE Ordinary level Mathematics (A and E Maths) Syllabus for the Express Stream from Secondary 1 to 4.

For our secondary students, we cater to a larger population with students coming from all of Singapore with GCE O’Levels, Integrated Programme (I.P) and the International Baccalaureate (I.B Programme) students attending our tuition classes.

### Secondary 1

Mathematics Courses Available: Elementary Mathematics.

Course overview:

Recap of Primary PSLE Syllabus. With in-depth and advancement upon:

- the Four Operations,
- Integers, Fractions, real Numbers,
- Ratio,
- Speed and
- Percentage
- Geometry and Angles
- Perimeter and Area
- Volume and Surface Area of Prism and Cylinders
- Statistics- Line Graph, Pie Chart etc.
- Basic Algebra

New to Secondary 1 Mathematics students

- Prime Numbers, HCF, LCM, Square root and Cube roots
- Approximation and Estimation
- Algebra Expansion and Factorisation
- Algebra Equations and problem solving
- Number Patterns
- Plotting of Cartesian Coordinate and Graphs
- Polygons and Angles. Interior and Exterior Angles of Polygons
- Geometrical Constructions and Angle/Perpendicular Bisectors

### Secondary 2

Mathematics Courses Available: Elementary Mathematics.

Course overview:

Streaming year and level of competence in mathematics will be tested to go into Science specific courses.

- Direct and Inverse Proportions
- Simultaneous Equations and Linear graphs
- Expansion and Factorisation of Quadratic Expressions
- Algebraic Fractions and Formulae
- Linear And Quadratic Graphs
- Congruence and Similarity
- Trigonometric Ratios TOA CAH SOH
- Pythagoras Theorem
- Volume and Surface Area of Pyramids Cones and Spheres
- Probability
- Mean Median Mode
- Statistics and Diagrams

### Secondary 3

Mathematics Courses Available: Elementary Mathematics and Additional Mathematics.

Course overview:

Mathematics forks out to Additional Mathematics and Elementary Mathematics. Another jump in pace and need to naturalise Additional Mathematics culture into their studies.

Elementary Mathematics:

Part 1) Further exploration of

- Coordinate Geometry
- Quadratic Equations and Functions
- Trigonometry
- Congruence and Similarity Tests
- Graphs of functions and solution.

Part 2) New Topics of

- Radian Measure, Arc Length and Area of Sectors
- Linear Inequalities
- Indices and Standard Form
- Area and Volume of Similar Figures and Solids
- Geometrical Properties of Circles

Additional Mathematics:

The 2 Year course in Additional Mathematics means different schools will be completing different chapters before the end of Sec 3. But generally, this will be before they start on Calculus topics of Differentiation and Integration.

- Quadratic Equations and Inequalities
- Indices Surds and Logarithms
- Polynomials and Partial Fractions
- Binomial Expansions
- Modulus Functions
- Trigonometry, Identities, Double Angle Formula etc.
- Coordinate Geometry
- Proofs in Plane Geometry

### Secondary 4

Course Overview

GCE O-level preparation begins. Separated into two distinct parts, new topics and revision. All topics are completed latest July, and revisions should begin and include doing all past year test papers and the TYS.

Elementary Mathematics

- Vectors
- Cumulative Frequency
- Standard Deviation
- Probability
- Matrices
- Revision from Sec1-4

Additional Mathematics

Course overview

Year 2 of 2 and completion of Additional Mathematics. Merging the previous years’ topics with Calculus-Differentiation and Integration.

- Differentiation
- Integration
- Kinematics-Particle Motion on a straight line

Our tutors are highly motivated intelligent educated individuals from a diverse background and ethnicity, with years of experience in guiding childrens’ intellectual growth and stimulating their grey matter to attain solid exam results and also life skills to tackle problems in their future.

We believe that a child’s growth is both nature and nurture. Our tutors constantly seek the nurturing of eduKate student’s inquisitive nature of questioning everything they learn and fully understand not only their curriculum, but holistically, to understand and achieve a sophisticated understanding of life skills that we marry together with their curriculum.