Singapore · MOE Syllabus Outcomes
Secondary 4 Mathematics
This course prepares Secondary 4 students for national examinations by deepening their understanding of complex algebraic structures, geometric proof, and statistical inference. Students apply mathematical logic to solve real world problems through rigorous analysis and functional modelling.
Functions and Graphs
Exploration of power, exponential, and logarithmic functions and their graphical representations.
Analyzing the behavior of functions where the variable is raised to a constant power or located in the denominator.
Understanding the inverse relationship between exponents and logarithms in the context of growth and decay.
Using intersection points of multiple graphs to solve complex equations that are difficult to handle algebraically.
Geometry and Trigonometry
Advanced study of circle properties and trigonometric identities for solving spatial problems.
Investigating the geometric relationships between tangents, chords, and angles within circles.
Deriving and applying identities to simplify expressions and solve trigonometric equations.
Applying sine and cosine rules alongside bearings to solve complex spatial navigation problems.
Calculus Foundations
An introduction to differentiation and integration as tools for analyzing rates of change and accumulation.
Mastering the power rule, chain rule, and product rule to find the gradient of various functions.
Using derivatives to solve problems involving tangents, normals, and rates of change in time dependent systems.
Understanding integration as the reverse of differentiation and its use in finding area under curves.
Statistics and Probability
Analyzing bivariate data and evaluating the likelihood of combined events in complex scenarios.
Using scatter diagrams and lines of best fit to determine the strength of relationships between variables.
Calculating probabilities for independent and dependent events using tree diagrams and Venn diagrams.
Using measures of spread to compare different datasets and evaluate consistency.
Vectors and Transformations
Representing movement and position using vectors and exploring geometric transformations in the Cartesian plane.
Performing addition, subtraction, and scalar multiplication with vectors in two dimensions.
Calculating the length of a vector and its orientation relative to the axes.
Mathematical Modelling
Integrating skills from across the curriculum to solve open ended real world problems.
Translating real world constraints into mathematical equations and identifying key variables.
Checking the results of a mathematical model against real world data and refining the approach.