# Mathematics Compulsory Part

## Curriculum Objectives

To develop students’ abilities to

• Think critically and creatively, to conceptualize, inquire and reason mathematically;
• Use mathematics to formulae and solve problems in daily life and other disciplines;
• Communicate with others, express their views clearly and logically in mathematical language;
• Manipulate numbers, symbols and other mathematical objects;
• Build up a positive attitude towards mathematics learning and an appreciation of the aesthetic nature and cultural aspect of mathematics.

## Curriculum Content

### 2. For junior form, the learning units of the three strands are listed below.

#### 2.1 Number and Algebra

• Directed numbers, rational and irrational numbers
• Approximation and estimation
• Percentages
• Rates, ratios and proportions
• Algebraic expressions and polynomials
• Linear equations and inequalities
• Laws of integral indices
• Identities and formulae
• Linear inequalities

#### 2.2 Measures, Shape and Space

• Geometry such as similar and congruent triangles, polygons and quadrilateral
• Pythagoras’ theorem
• Mensuration
• Trigonometry
• Rectangular coordinate system

#### 2.3 Data Handling

1. Organization and presentation of data
Measures of central tendency
Probability
Pythagoras’ theorem
Mensuration

### 3. For senior form, the learning units of the three strands are listed below.

#### ​3.1​ Number and Algebra

• Functions and graphs
• Exponential and logarithmic functions
• More about polynomials and equations
• Variations
• Arithmetic and geometric sequences and series
• Inequalities and linear programming

#### ​3.2​ Measures, Shape and Space

• Equations of straight lines and circles
• Properties of circles
• Loci
• More about trigonometry and its applications

#### ​3.3​ Data Handling

• Permutations and combinations
• Measures of dispersion
• Use and abuses of statistics

### 4. For the extended part Module 1 (Calculus and Statistics) , the learning units are grouped under three areas:

• Foundation knowledge such as binomial expansion
• Calculus such as differentiation and integration
• Statistics such as probability distribution and normal distribution

#### 5. For the extended part Module 2 (Algebra and Calculus) , the learning units are grouped under three areas:

• Foundation knowledge such as mathematical induction and more about trigonometric functions
• Algebra such as vectors, determinants and matrices
• Calculus such as limits, differentiation and integration