Singapore Secondary 1 Mathematics G2

This course outline is based on the Singapore Ministry of Education (MOE) syllabus and other supporting resources. The G2 Mathematics syllabus aims to provide students with a solid foundation in mathematics, preparing them for further studies and everyday life applications. It emphasizes problem-solving, reasoning, communication, and metacognitive skills.

Key Emphases

• Developing critical mathematical processes like reasoning, communication, and modeling.
• Fostering awareness of the nature of mathematics and its interconnectedness.
• Promoting metacognitive skills through self-directed learning and reflection.

Content Strands

The syllabus is organized into three main content strands:

• Number and Algebra: This strand covers various topics related to numbers, operations, algebraic expressions, functions, and equations.
• Geometry and Measurement: This strand focuses on geometric concepts, properties of shapes, measurement of lengths, areas, and volumes.
• Statistics and Probability: This strand deals with data handling, analysis, interpretation, and basic probability concepts.

Topics Covered

The following topics are typically covered in the Secondary 1 G2 Mathematics syllabus:

Numbers and Operations:

• Primes and prime factorization
• Highest common factor (HCF) and lowest common multiple (LCM)
• Squares, cubes, square roots, and cube roots
• Negative numbers, integers, rational numbers, real numbers, and their operations
• Approximation and estimation
• Standard form and indices (Sec 3/4)

Ratio and Proportion:

• Comparison of quantities by ratio
• Relationship between ratio and fraction
• Dividing a quantity in a given ratio
• Map scales and direct/inverse proportion (Sec 2)

Percentage:

• Expressing percentages as fractions or decimals
• Percentage increase/decrease and reverse percentages

Rate and Speed:

• Relationship between distance, time, and speed
• Average rate, constant speed, and average speed
• Conversion of units

Algebraic Expressions and Formulae:

• Using letters to represent numbers
• Evaluation and simplification of algebraic expressions
• Expansion and factorization of expressions
• Changing the subject of a formula

Functions and Graphs:

• Cartesian coordinates
• Linear functions and graphs
• Quadratic functions and graphs (Sec 3/4)
• Graphs of power and exponential functions (Sec 3/4)

Equations and Inequalities:

• Solving linear equations
• Solving simple inequalities
• Solving simultaneous linear equations (Sec 2)
• Solving quadratic equations (Sec 3/4)

Geometry and Measurement:

• Angles, triangles, and polygons
• Properties of special quadrilaterals and regular polygons
• Congruence and similarity (Sec 2)
• Pythagoras' theorem (Sec 2)
• Trigonometry (Sec 3/4)
• Mensuration (area, perimeter, volume, surface area)
• Properties of circles (Sec 3/4)
• Coordinate geometry (Sec 3/4)

Statistics and Probability:

• Data handling and analysis (tables, bar graphs, pictograms, line graphs, pie charts, dot diagrams, histograms, stem-and-leaf diagrams)
• Mean, mode, and median
• Probability of single and combined events (Sec 2)

Additional Topics for Sec 5 students taking G2 Mathematics:

• Sketching graphs of quadratic functions
• Solving linear inequalities
• Set language and notation
• Matrices
• Determining congruence and similarity of triangles
• Ratio of areas and volumes of similar figures
• Vectors in two dimensions

This comprehensive outline provides a detailed overview of the topics covered in the Singapore Secondary 1 G2 Mathematics syllabus. It is important to consult the official MOE syllabus and school-specific content outlines for the most accurate and up-to-date information.