Singapore Secondary 2 Mathematics (G1) Syllabus

This syllabus outlines the aims, content, and assessment for the Secondary 2 G1 Mathematics course. It is designed for students who are bound for post-secondary vocational education. The syllabus aims to equip students with practical mathematical skills for everyday life and further learning.

Aims

• Acquire mathematical concepts and skills applicable to real-world situations and other subjects.
• Develop thinking, reasoning, communication, application, and metacognitive skills through problem-solving.
• Connect mathematical ideas within the subject and with other subjects through practical application.
• Build confidence in using mathematics and appreciate its value in real-life decision-making.

Syllabus Organization

The syllabus is structured around three content strands: Number and Algebra, Geometry and Measurement, and Statistics and Probability. Learning experiences focusing on processes, metacognition, and attitudes are integrated within these strands.

Problems in Real-World Contexts

The syllabus emphasizes problem-solving in real-world contexts, providing opportunities for students to apply learned concepts and appreciate the relevance of mathematics. Students are expected to be familiar with and solve problems related to:

• Everyday life (time schedules, transport schedules, recipes, floor plans, profit and loss).
• Personal and household finance (simple and compound interest, taxation, installments, utility bills, money exchange).
• Interpreting and analyzing data from tables and graphs (excluding distance-time and speed-time graphs).

These real-world problems expose students to the mathematical modeling process, which involves:

• Formulating the problem, including making assumptions and simplifications.
• Analyzing and interpreting data from graphs and tables.
• Selecting and applying appropriate concepts and skills.
• Interpreting mathematical solutions in the context of the problem.

Content by Levels

The syllabus details specific content for each secondary level. The following outlines the topics covered in Secondary Two:

Number and Algebra

• Ratio and proportion: Direct and inverse proportion.
• Rate and speed: Rates, average rates (including speed and average speed), and unit conversion (e.g., km/h to m/s).
• Algebraic expressions and formulae: Addition and subtraction of linear expressions, simplification of linear expressions.
• Functions and graphs: Cartesian coordinates, graphs of ordered pairs, linear functions and their graphs, gradient of a linear graph.
• Equations: Solving linear equations in one variable, formulating linear equations to solve problems.

Geometry and Measurement

• Angles, triangles, and quadrilaterals: Properties of triangles and special quadrilaterals, properties of perpendicular bisectors and angle bisectors, construction of simple geometrical figures.
• Congruence and similarity: Congruent and similar figures, properties of similar triangles and quadrilaterals.
• Pythagoras' theorem: Applying Pythagoras' theorem, determining right-angled triangles.
• Mensuration: Volume and surface area of prism and cylinder, unit conversion (cm² to m², cm³ to m³).

Statistics and Probability

• Data analysis: Analyzing and interpreting dot diagrams and histograms, purposes and uses of mean, mode, and median, calculating mean, mode, and median.
• Probability: Probability as a measure of chance, probability of single events.

Assessment Objectives

Summative assessments evaluate students' achievement of learning objectives. The assessment objectives for G1 Mathematics are:

• AO1: Use and apply standard techniques: Recall facts, terminology, and notation; interpret information from tables, graphs, diagrams, and texts; perform routine procedures.
• AO2: Solve problems in a variety of contexts: Interpret information to select appropriate concepts, rules, or formulas; translate information between different forms; make connections across topics; formulate problems mathematically; analyze information and apply techniques to solve problems; interpret results.
• AO3: Reason and communicate mathematically: Justify mathematical statements; provide explanations in the context of a problem.

National Examinations

Students take a national examination in their final year. The G1 Mathematics examination (Code 4046) consists of two papers:

• Paper 1: Number and Algebra, Geometry and Measurement (50% weighting).
• Paper 2: Number and Algebra, Statistics and Probability (50% weighting).

Both papers include short-answer and longer context-based questions.