Singapore · MOE Syllabus Outcomes
Secondary 3 Mathematics
This course deepens algebraic fluency and geometric intuition while introducing non-linear relationships and circle properties. Students engage in mathematical modelling to solve complex real world problems using deductive reasoning and data analysis.
Algebraic Expansion and Factorisation
Mastering quadratic expressions and the application of algebraic identities to simplify complex structures.
Exploring the expansion of algebraic products and the three fundamental algebraic identities.
Developing strategies for reversing expansion through grouping and the cross method.
Equations and Inequalities
Solving quadratic equations and linear inequalities to model constraints in various scenarios.
Solving equations using the factorisation method and understanding the zero product property.
Solving and representing linear inequalities on a number line.
Using algebraic tools to solve word problems involving real life constraints.
Functions and Graphs
Analyzing the behavior of power functions and their visual representations on the Cartesian plane.
Investigating the properties of parabolas including symmetry and turning points.
Exploring cubic, reciprocal, and simple exponential functions.
Solving equations by finding the intersection of multiple graphs.
Geometry of Circles
Understanding the properties of chords, tangents, and angles within circles.
Investigating angles at the center, circumference, and within cyclic quadrilaterals.
Studying the perpendicular properties of tangents and chords.
Trigonometry and Mensuration
Applying trigonometric ratios to non right angled triangles and calculating properties of sectors.
Extending trigonometry to solve for sides and angles in any triangle.
Calculating parts of a circle using radian and degree measures.
Solving problems involving angles of elevation, depression, and bearing in three dimensions.
Data Analysis and Probability
Interpreting cumulative frequency and calculating probabilities of combined events.
Constructing and interpreting cumulative frequency curves and box plots.
Using tree diagrams and possibility diagrams to calculate probabilities for multiple events.