Singapore Secondary 2 Mathematics (G2)
This course follows the syllabus set by the Ministry of Education (MOE) of Singapore. It aims to equip students with the mathematical concepts and skills necessary for continuous learning in mathematics and other subjects, develop problem-solving skills, connect mathematical ideas within and across disciplines, and foster confidence and interest in mathematics.
The syllabus is organized into three content strands: Number and Algebra, Geometry and Measurement, and Statistics and Probability. Learning experiences are designed to develop mathematical processes, metacognition, and positive attitudes towards mathematics.
Number and Algebra
- Secondary 1:
- Numbers and their operations (primes, HCF, LCM, integers, rationals, real numbers, approximations)
- Algebraic expressions and formulae (using letters, notations, evaluation, simple real-world translations)
- Equations and inequalities (linear equations)
- Secondary 2:
- Ratio and proportion (map scales, direct and inverse proportion)
- Algebraic expressions and formulae (expansion, factorization, simple algebraic fractions)
- Functions and graphs (Cartesian coordinates, linear functions, gradients)
- Equations and inequalities (linear equations with fractional coefficients, simple inequalities, simultaneous linear equations)
- Secondary 3/4:
- Numbers and their operations (standard form, indices, laws of indices)
- Algebraic expressions and formulae (factorization of linear expressions, expansion, changing the subject of a formula, algebraic fractions)
- Functions and graphs (quadratic functions, power functions, exponential functions, gradient of a curve)
- Equations and inequalities (quadratic equations, fractional equations)
- Secondary 5 (for students taking G2 Mathematics):
- Functions and graphs (sketching quadratic functions)
- Equations and inequalities (linear inequalities)
- Set language and notation
Geometry and Measurement
- Secondary 1:
- Angles, triangles, and polygons (angle types, parallel lines and transversals, properties of triangles)
- Mensuration (area, volume, surface area of prisms and cylinders)
- Secondary 2:
- Angles, triangles, and polygons (properties of quadrilaterals and polygons, angle sum, constructions)
- Congruence and similarity (congruent and similar figures, properties of similar triangles)
- Mensuration (volume and surface area of pyramids, cones, and spheres)
- Secondary 3/4:
- Congruence and similarity (enlargement and reduction, scale drawings, perpendicular bisectors, angle bisectors)
- Properties of circles (symmetry properties, angle properties)
- Pythagoras' theorem and trigonometry (trigonometric ratios, sine and cosine of obtuse angles, area of a triangle, sine rule, cosine rule, 2D and 3D problems)
- Mensuration (arc length, sector area, segment area, radian measure)
- Coordinate geometry (gradient, length of line segment, equation of a straight line)
- Secondary 5 (for students taking G2 Mathematics):
- Congruence and similarity (determining congruence and similarity, ratio of areas and volumes)
- Vectors in two dimensions
Statistics and Probability
- Secondary 1:
- Data handling and analysis (collecting, classifying, tabulating data; interpreting tables, bar graphs, pictograms, line graphs, pie charts)
- Secondary 2:
- Data handling and analysis (dot diagrams, histograms, stem-and-leaf diagrams, mean, mode, median)
- Probability (probability of single events)
- Secondary 3/4:
- Data handling and analysis (quartiles, percentiles, range, interquartile range, standard deviation, cumulative frequency diagrams, box-and-whisker plots)
- Probability (simple combined events, addition and multiplication of probabilities)
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