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Our Curriculum

2025 Secondary 1 Mathematics

In Secondary 1, students will learn new topics such as Solving Linear Equations, Functions and Graphs and Statistics. The topics taught in primary school will be covered in greater depth while students master new and more complex concepts.

Comprehensive notes and tutorials will be provided to strengthen students’ conceptual knowledge in ensuring competency and mastery. Students will solidify their examination skills through our topical exercises and practice tests.

Numbers

  • Integers, Rational Numbers and Real Numbers
  • Primes, Factors and Multiples
  • Estimation and Approximation
  • Ratio and Rate
  • Percentages

Algebra

  • Algebraic Expansion, Factorisation and Manipulation
  • Linear Equations
  • Linear Inequalities
  • Functions and Graphs
  • Number Patterns

Geometry

  • Basic Geometrical Concepts and Properties
  • Angle Properties of Polygons
  • Mensuration:
    • > Area and Perimeter
    • > Volume and Surface Area of Cube, Cuboid and Cylinder
    • > Volume and Surface Area of Cone, Pyramid and Sphere

Statistics

  • Statistical Diagrams
  • Measures of Central Tendency
    – Mean, Mode and Median
  • Data Analysis

2025 Secondary 2 Mathematics

In Secondary 2, students will learn new topics such as Expansion and Factorisation of Quadratic Expressions, Quadratic Equations and Graphs, Algebraic Fractions, Linear Simultaneous Equations, Direct and Inverse Proportions, Scales and Maps, Congruency and Similarity, Probability and Trigonometric Ratios.

Additionally, the topics taught previously in Secondary 1 will be expanded on. For example, the topic on Volume and Surface Area will include new content such as cones, pyramids and spheres. Students will solidify their examination skills through our topical exercises and practice tests.

Numbers

  • Direct and Inverse Proportions
  • Scales and Maps
  • Indices
  • Standard Form

Algebra

  • Algebraic Expansion, Factorisation and Manipulation
  • Algebraic Fractions and Subject of Formulae
  • Quadratic Equations
  • Quadratic Graphs and its Applications
  • Linear Simultaneous Equations

Probability

  • Probability of Single Events

Geometry

  • Pythagoras’ Theorem
  • Congruency and Similarity
  • Proof of Congruency and Similarity
  • Area and Volume of Similar Figures and Solids
  • Trigonometric Ratios
  • Further Trigonometry
    – Sine Rule
    – Cosine Rule
    – Area of Triangle

Statistics

  • Statistical diagrams
    • > Dot Diagram
    • > Stem-and-Leaf Diagram
    • > Histogram
  • Measures of Central Tendency
    – Mean, Mode and Median
  • Data Analysis

2025 Secondary 3 and 4 Mathematics

The Upper Secondary Mathematics programmes develop students’ mathematical knowledge and understanding using comprehensive curriculum materials of differing difficulty. Comprehensive notes and tutorials will be provided to strengthen students’ conceptual knowledge in ensuring competency and mastery.

To prepare students for O-Level success, they will be exposed to topical revision through comprehensive concept maps and noteworthy past examination questions. Students will further solidify their examination skills through our topical exercises and practice tests.

Numbers

  • Indices
  • Standard Form
  • Set Notation
    – Use of Set Language and Notation
    – Union and Intersection of Two Sets
    – Venn Diagram

Algebra

  • Solutions to Quadratic Equations
  • Linear Inequalities

Vectors

  • Representing Vector as a Directed Line Segment
  • Translation of a Vector
  • Position of a Vector
  • Magnitude of a Vector
  • Addition, Subtraction and Multiplication of a Vector

Statistics

  • Cumulative Frequency Diagram
  • Box-and-Whisker Plot
  • Data Analysis
  • Measures of Spread of Data
    – Range, Interquartile Range
    and Standard Deviation

Matrices

  • Addition, Subtraction and Multiplication of Matrices
  • Applications of Matrices

Graphs

  • Sketching of Quadratic Graphs
  • Graphs of Power Functions
  • Graphs of Exponential Functions
  • Estimation of the Gradient of a Curve
  • Graphs Applied to Kinematics

Geometry

  • Congruent and Similar Triangles
  • Area and Volume of Similar Figures and Solids
  • Geometrical Properties of Circles
  • Further Trigonometry
    • > Sine Rule
    • > Cosine Rule
    • > Area of Triangle
    • > Bearings
  • Coordinate Geometry
    – Gradient, Length and Equation of a Straight Line
  • Mensuration
    – Radian Measure
    – Arc Length
    – Sector Area

Probability

  • Probability of Combined Events
    • > Tree Diagrams
    • > Possibility Diagrams
  • Probability of Mutually Exclusive and Independent Events

2025 Secondary 3 and 4 Additional Mathematics

The Upper Secondary Additional Mathematics programmes develop students’ mathematical knowledge and understanding using comprehensive curriculum materials of differing difficulty.

To prepare students for O-Level success, they will be exposed to topical revision through comprehensive concept maps and noteworthy past examination questions. Students will further solidify their examination skills through our topical exercises and practice tests.

Algebra and Functions

  • Non-Linear Simultaneous Equations
  • Indices
  • Surds
  • Logarithms
  • Polynomials
  • Factor and Remainder Theorem
  • Partial Fractions
  • Quadratic Equations and Functions
  • Quadratic Inequalities
  • Binomial Theorem
  • Graphs of Logarithmic and Exponential Functions
  • Modulus
  • Transformation of Graphs
  • Functions

Geometry

  • Coordinate Geometry
  • Circles
  • Linear Law
  • Trigonometric Functions
  • Trigonometric Identities and Equations
  • Proof in Plane Geometry

Calculus

  • Differentiation
  • Applications of Differentiation
    – Equations of Tangent and Normal
    – Maxima and Minima
    – Rate of Change
  • Derivatives of Exponential and Logarithmic Functions
  • Derivatives of Trigonometric Functions
  • Integration
  • Area of a Region
  • Kinematics

OUR TEACHERS

Optimistic And Highly Qualified Teachers !

As believers of underdogs, our teachers are well optimistic in grooming students from a wide spectrum of backgrounds. To top it off, all our teachers are graduates from NUS & NTU with over 5 years of experience in tutoring!


MATH MASTERCLASS

Limitless Learning, Limitless Possibilities

We foster a culture where students feel comfortable asking questions, collaborating with peers, and building their self-confidence.