The G1, G2, and G3 subject syllabuses in Singapore secondary schools started for the Secondary 1 cohort in 2024, with G3 covering the most, followed by G2, and then G1.
In the G1 Mathematics is similar to the previous Math syllabus covered in the normal technical syllabus.
In this post, let’s look at what is covered in the G1 Mathematics Syllabus in detail in each year.
Secondary 1 G1 Math Syllabus
- Numbers and Their Operations
1.1. Negative numbers and primes (exclude prime factorisation)
1.2. Integers and their four operations
1.3. Four operations on fractions and decimals (including negative fractions and decimals)
1.4. Calculations with calculator, including squares, cubes, square roots and cube roots
1.5. Representation and ordering of numbers on the number line
1.6. Use of <, >, ≤, ≥
1.7. Approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures and estimating the results of computation) - Ratio and Proportion
2.1. Comparison between two or more quantities by ratio
2.2. Dividing a quantity in a given ratio
2.3. Ratios involving fractions and decimals
2.4. Equivalent ratios
2.5. Writing a ratio in its simplest form - Percentage
3.1. Expressing percentage as a fraction or decimal
3.2. Finding the whole given a percentage part
3.3. Expressing one quantity as a percentage of another
3.4. Comparing two quantities by percentage
3.5. Percentages greater than 100%
3.6. Finding one quantity given the percentage and the other quantity
3.7. Increasing/decreasing a quantity by a given percentage
3.8. Finding percentage increase/decrease - Algebraic Expressions and Formulae
4.1. Using letters to represent numbers
4.2. Interpreting notations
4.3. Evaluation of algebraic expressions and formulae
4.4. Recognising number sequences (including evaluating simple nth term like (n + 3) and (2n + 1))
4.5. Translation of simple real-world situations into algebraic expressions
Geometry and Measurement
- Angles, Triangles and Quadrilaterals
1.1. Right, acute, obtuse and reflex angles
1.2. Vertically opposite angles, angles on a straight line and angles at a point
1.3. Angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles - Symmetry
2.1. Line and rotational symmetry of plane figures
2.2. Lines of symmetry
2.3. Order of rotational symmetry - Mensuration
3.1. Area of triangle as (\frac{1}{2} \times \text{base} \times \text{height})
3.2. Area and circumference of circle
3.3. Area of parallelogram and trapezium
3.4. Problems involving perimeter and area of composite plane figures
3.5. Volume and surface area of cube and cuboid
3.6. Conversion between cm² and m², and between cm³ and m³
3.7. Problems involving volume and surface area of composite solids
Statistics and Probability
- Data Handling and Analysis
1.1. Simple concepts in collecting, classifying and tabulating data
1.2. Analysis and interpretation of:
• Tables
• Bar graphs
• Pictograms
• Line graphs
• Pie charts
1.3. Purposes and uses, advantages and disadvantages of the different forms of statistical representations
Secondary 2 G1 Math Syllabus
Number and Algebra
- Ratio and Proportion
1.1. Direct and inverse proportion - Rate and Speed
2.1. Rates and average rates (including the concepts of speed and average speed)
2.2. Conversion of units (e.g., km/h to m/s) - Algebraic Expressions and Formulae
3.1. Addition and subtraction of linear expressions
3.2. Simplification of linear expressions, e.g.:
• −2(3x − 5) + 4x
• (2x/3) − (3(x − 5)/2) - Functions and Graphs
4.1. Cartesian coordinates in two dimensions
4.2. Graph of a set of ordered pairs as a representation of a relationship between two variables
4.3. Linear functions (y = ax + b)
4.4. Graphs of linear functions
4.5. The gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients) - Equations
5.1. Solving linear equations in one variable
5.2. Formulating a linear equation in one variable to solve problems
Geometry and Measurement
- Angles, Triangles and Quadrilaterals
1.1. Properties of triangles and special quadrilaterals
1.2. Properties of perpendicular bisectors of line segments and angle bisectors
1.3. Construction of simple geometrical figures from given data (including perpendicular bisectors and angle bisectors) using compasses, ruler, set squares, and protractor where appropriate - Congruence and Similarity
2.1. Congruent and similar figures
2.2. Properties of similar triangles and quadrilaterals:
• Corresponding angles are equal
• Corresponding sides are proportional - Pythagoras’ Theorem
3.1. Use of Pythagoras’ theorem
3.2. Determining whether a triangle is right-angled given the lengths of three sides - Mensuration
4.1. Volume and surface area of prism and cylinder
4.2. Conversion between cm² and m², and between cm³ and m³
Statistics and Probability
- Data Analysis
1.1. Analysis and interpretation of:
• Dot diagrams
• Histograms with equal class intervals
1.2. Purposes and uses, advantages and disadvantages of the different forms of statistical representations
1.3. Purposes and uses of mean, mode, and median
1.4. Calculation of the mean, mode, and median for a set of ungrouped data - Probability
2.1. Probability as a measure of chance
2.2. Probability of single events (including listing all possible outcomes in a simple chance situation to calculate the probability)
Secondary 3 and 4 G1 Math Syllabus
Number and Algebra
1. Numbers and their four operations
1.1. Use of index notation for integer powers
1.2. Use of standard form (A \times 10^n), where (n) is an integer and (1 \leq A < 10)
2. Ratio and proportion
2.1. Map scales (distance and area)
3. Algebraic expressions and formulae
5.1. Recognising and representing number sequences (including finding an algebraic expression for the nth term for simple cases such as (n + 3) and (2n + 1))
5.2. Expansion of the product of two linear expressions
5.3. Multiplication and division of simple algebraic fractions, e.g. (\frac{3a}{4b^2} \cdot \frac{5ab}{3}), (\frac{3a}{4} \div \frac{9a^2}{10})
5.4. Changing the subject of a simple formula
5.5. Finding the value of an unknown quantity in a given formula
5.6. Factorisation of linear expressions of the form (ax + kay)
5.7. Factorisation of quadratic expressions
6. Functions and graphs
6.1. Quadratic functions
6.2. Graphs of quadratic functions and their properties:
- Positive or negative coefficient of (x^2)
- Maximum and minimum points
- Symmetry
7. Equations
7.1. Graphs of linear equations in two variables ((ax + by = c))
7.2. Solving simple fractional equations that can be reduced to linear equations, e.g. (\frac{x}{3} + \frac{x – 2}{4} = 3), (\frac{3}{x – 2} = 6)
7.3. Solving simultaneous linear equations in two variables by:
- Substitution and elimination methods
- Graphical method
7.4. Formulating a pair of linear equations in two variables to solve problems
7.5. Solving quadratic equations in one variable by use of formula
7.6. Formulating a quadratic equation in one variable to solve problems
Geometry and Measurement
1. Trigonometry
1.1. Use of trigonometric ratios (sine, cosine, and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles (including problems involving angles of elevation and depression)
2. Mensuration
2.1. Volume and surface area of pyramid, cone, and sphere
2.2. Conversion between cm² and m², and between cm³ and m³
2.3. Arc length and sector area as fractions of the circumference and area of a circle
Probability and Statistic
1. Data Analysis
1.1. Percentiles, quartiles, range, and interquartile range
1.2. Analysis and interpretation of cumulative frequency diagrams