# Secondary 2 Math Tuition

Our Secondary 2 math tuition follows the O-LEVEL MATHEMATICS SYLLABUS. Each class is tailored to our students’ needs and their learning styles. Our students have a strong foundation in Math and have thus gained a higher confidence when they move to Upper Secondary.

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

### RATIO AND PROPORTION

• map scales (distance and area)
• direct and inverse proportion

### FUNCTIONS AND GRAPHS

• quadratic functions
• graphs of quadratic functions and their properties:
• positive or negative coefficient of 𝑥2
• maximum and minimum points
• symmetry

### Equations and inequalities

• concept of equation and inequality
• solving simple inequalities in the form ax+b<and representing the solutions on the number line
• graphs of linear equations in two variables (𝑎𝑥 + 𝑏𝑦 = 𝑐)
• solving simultaneous linear equations in two variables by:
• substitution and elimination methods
• graphical method
• solving quadratic equations in one variable by factorisation
• formulating a pair of linear equations in two variables to solve problems

## 2. GEOMETRY AND MEASUREMENT

### CONGRUENCE AND SIMILARITY

• congruent figures
• similar figures
• properties of similar triangles and polygons:
• corresponding angles are equal
• corresponding sides are proportional
• enlargement and reduction of a plane figure
• solving simple problems involving congruence and similarity

### PYTHAGORAS’ THEOREM AND TRIGONOMETRY

• use of Pythagoras’ theorem
• determining whether a triangle is right-angled given the lengths of three sides
• use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles

### MENSURATION

• volume and surface area of pyramid, cone and sphere

## 3. STATISTICS AND PROBABILITY

### DATA HANDLING AND ANALYSIS

• analysis and interpretation of:
• dot diagrams
• histograms
• stem-and-leaf diagrams
• purposes and uses, advantages and disadvantages of the different forms of statisticalrepresentations
• explaining why a given statistical diagram leads to misinterpretation of data
• mean, mode and median as measures of central tendency for a set of data
• purposes and use of mean, mode and median
• calculation of the mean for grouped data

### PROBABILITY

• probability as a measure of chance
• probability of single events (including listing all the possible outcomes in a simple chance situationto calculate the probability)