# Secondary 3 and 4 Math Tuition

The structure of our Secondary 3 and Secondary 4 Math enables our students to have a firm grasp of the O-level curriculum. This gives them the foundation to get better grades progressively.

Our programme is set to accelerate your child’s learning so that your child can keep up with the school’s syllabus.

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

• use of standard form Ax10^n , where is an integer
• positive, negative, zero and fractional indices
• laws of indices

### Matrices

• display of information in the form of a matrix of any order
• interpreting the data in a given matrix
• product of a scalar quantity and a matrix
• problems involving addition, subtraction and multiplication of matrices

## 2. GEOMETRY AND MEASUREMENT

### Congruence and similarity

• scale drawings
• properties and construction of perpendicular bisectors of line segments and angle bisectors
• determining whether two triangles are:
• congruent
• similar
• ratio of areas of similar plane figures
• ratio of volumes of similar solids

### Properties of circles

• symmetry properties of circles:
• equal chords are equidistant from the centre
• the perpendicular bisector of a chord passes through the centre
• tangents from an external point are equal in length
• the line joining an external point to the centre of the circle bisects the angle between the tangents
• angle properties of circles:
• angle in a semicircle is a right angle
• angle between tangent and radius of a circle is a right angle
• angle at the centre is twice the angle at the circumference
• angles in the same segment are equal
• angles in opposite segments are supplementary

### Mensuration

• arc length, sector area and area of a segment of a circle
• use of radian measure of angle (including conversion between radians and degrees)

## Coordinate geometry

• finding the gradient of a straight line given the coordinates of two points on it
• finding the length of a line segment given the coordinates of its end points
• interpreting and finding the equation of a straight line graph in the form ymx+c
• geometric problems involving the use of coordinates

## 3. STATISTICS AND PROBABILITY

### Data handling and analysis

• quartiles and percentiles
• range, interquartile range and standard deviation as measures of spread for a set of data
• analysis and interpretation of:
• cumulative frequency diagrams
• box-and-whisker plots
• purposes and uses, advantages and disadvantages of the different forms of statistical representations
• calculation of the standard deviation for a set of data (grouped and ungrouped)
• using the mean and standard deviation to compare two sets of data

### Probability

• probability of simple combined events (including using possibility diagrams and tree diagrams, where appropriate)
• addition and multiplication of probabilities (mutually exclusive events and independent events)