Singapore · MOE Syllabus Outcomes
Secondary 2 Mathematics
This curriculum bridges foundational arithmetic with abstract algebraic thinking and geometric reasoning. Students develop mastery in proportional reasoning and spatial visualization while applying mathematical models to solve complex real world problems.
Proportionality and Linear Relationships
Students explore the nature of direct and inverse proportions and their representations in tables, graphs, and equations.
Investigating how variables change in relation to each other and identifying constants of proportionality.
Understanding the geometric interpretation of rate of change as the steepness of a line.
Applying proportional reasoning to solve problems involving maps, scales, and currency exchange.
Algebraic Expansion and Factorisation
Moving beyond basic operations to manipulate quadratic expressions and solve complex equations.
Using the distributive law to expand products of binomials and recognizing special algebraic identities.
Reversing the expansion process to find common factors and grouping terms.
Performing operations on algebraic fractions and rearranging complex formulae.
Simultaneous Linear Equations
Solving systems of equations using graphical and algebraic methods to find points of intersection.
Identifying the solution to a pair of equations as the coordinates of their intersection point.
Mastering algebraic techniques to find exact solutions for systems of equations.
Translating word problems into systems of equations to solve real world dilemmas.
Congruence and Similarity
Examining the properties of shapes that are identical or scaled versions of each other.
Defining and proving congruence in triangles using specific geometric criteria.
Understanding the relationship between corresponding angles and the ratio of corresponding sides.
Exploring how area and volume scale when a shape is enlarged or reduced.
Pythagoras Theorem and Trigonometry
Applying right angled triangle properties to find unknown lengths and angles in various contexts.
Developing and applying the relationship between the sides of a right angled triangle.
Introducing sine, cosine, and tangent as ratios of sides in right angled triangles.
Using trigonometry to solve real world problems involving heights and distances.
Data Handling and Probability
Organizing, interpreting, and analyzing data sets to make informed predictions and decisions.
Creating and interpreting histograms, stem and leaf plots, and pie charts.
Calculating and comparing mean, median, and mode for various data sets.
Understanding the concept of randomness and calculating the likelihood of single outcomes.