Our Secondary 1 math tuition follows the **O-LEVEL MATHEMATICS SYLLABUS**. Our students will have a strong foundation in Math and gain a higher confidence when they move to Secondary 2.

We have Quarterly Diagnostics Tests and Weekly Graded Assessments until the students’ exams to ensure that they have consistent practices. Their performance will be tracked continuously.

## 1. **NUMBER AND ALGEBRA**

**Numbers and their operations**

- primes and prime factorisation
- finding highest common factor (HCF) and lowest common multiple (LCM), squares, cubes, squareroots and cube roots by prime factorisation
- negative numbers, integers, rational numbers, real numbers and their four operations
- calculations with calculator
- representation and ordering of numbers on the number line
- use of<,>, ≤, ≥
- 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**

- ratios involving rational numbers
- writing a ratio in its simplest form
- problems involving ratio

**Percentage**

- expressing one quantity as a percentage of another
- comparing two quantities by percentage
- percentages greater than 100%
- increasing/decreasing a quantity by a given percentage (including concept of percentage point)
- reverse percentages
- problems involving percentages

**Rate and Speed**

- concepts of average rate, speed, constant speed and average speed
- conversion of units (e.g. km/h to m/s)
- problems involving rate and speed

**Algebraic expressions and formulae**

- using letters to represent numbers
- interpreting notations:

- evaluation of algebraic expressions and formulae
- translation of simple real-world situations into algebraic expressions
- recognising and representing patterns/relationships by finding an algebraic expression for the nthterm
- addition and subtraction of linear expressions
- simplification of linear expressions such as

- use brackets and extract common factors

**Functions and graphs**

- Cartesian coordinates in two dimensions
- graph of a set of ordered pairs as a representation of a relationship between two variables
- linear functions 𝑦 = 𝑎𝑥 + 𝑏
- graphs of linear functions
- the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positiveand negative gradients)

**Equations and inequalities**

- concept of equation
- solving linear equations in one variable
- solving simple fractional equations that can be reduced to linear equations such as

- formulating a linear equation in one variable to solve problems

## 2. **GEOMETRY AND MEASUREMENT**

**Angles, triangles and polygons**

- right, acute, obtuse and reflex angles
- vertically opposite angles, angles on a straight line, angles at a point
- angles formed by two parallel lines and a transversal: corresponding angles, alternate angles,interior angles
- properties of triangles, special quadrilaterals and regular polygons (pentagon, hexagon, octagonand decagon), including symmetry properties
- classifying special quadrilaterals on the basis of their properties
- angle sum of interior and exterior angles of any convex polygon
- construction of simple geometrical figures from given data using compasses, ruler, set squares andprotractors, where appropriate

**Mensuration**

- area of parallelogram and trapezium
- problems involving perimeter and area of composite plane figures
- volume and surface area of prism and cylinder
- conversion between cm2 and m2 , and between cm3 and m3
- problems involving volume and surface area of composite solids

## 3. **STATISTICS AND PROBABILITY**

**Data handling and analysis**

- simple concepts in collecting, classifying and tabulating data
- analysis and interpretation of:
- tables
- bar graphs
- pictograms
- line graphs
- pie charts

- purposes and uses, advantages and disadvantages of the different forms of statistical representations
- explaining why a given statistical diagram leads to misinterpretation of data