Objectives :

• The curriculum aims at developing S1-S3 students：

1. the ability to conceptualize, inquire, reason and communicate mathematically, and to use mathematics to formulate and solve problems in daily life as well as in mathematical contexts；
2. the ability to manipulate numbers, symbols and other mathematical objects；
3. the number sense, symbol sense, spatial sense and a sense of measurement as well as the capability in appreciating structures and pattern；
4. a positive attitude towards mathematics and the capability in appreciating the aesthetic nature and cultural aspect of mathematics. 

• The curriculum aims at developing S4-S6 students：

1. The ability to think critically and creatively to conceptualise, inquire and reason mathematically, and to use mathematics to formulate and solve problems in daily life as well as in mathematical contexts and other disciplines；
2. The ability to communicate with others and express their views clearly and logically in mathematical language；
3. The ability to manipulate numbers, symbols and other mathematical objects；
4. Number sense, symbol sense, spatial sense, measurement sense and the capacity to appreciate structures and patterns；
5. A positive attitude towards the learning of mathematics and an appreciation of the aesthetic nature and cultural aspects of mathematics.

Mathematics (Compulsory Part and Extended Part Module 2)

*Students will either take Mathematics Compulsory Part ONLY or both Mathematics Compulsory Part and Extended Part Module 2.

Hong Kong Diploma of Secondary Education Examination (HKDSE)

ASSESSMENT OBJECTIVES

The assessment objectives of the Compulsory Part are to test the candidates’:

1. knowledge of the mathematical facts, concepts, skills and principles presented in the Curriculum and Assessment Guide;
2. familiarity with and use of mathematical symbols;
3. ability to use appropriate mathematical techniques for solving a variety of problems; and
4. ability to communicate ideas and to present arguments mathematically.

The assessment objectives of Module 2 (Algebra and Calculus) of the Extended Part are to test the candidates’: 1. understanding of the concepts, principles and methods in Algebra and Calculus presented in the Curriculum and Assessment Guide; and 2. ability to apply appropriate techniques in Algebra and Calculus for solving a variety of problems.

MODE OF ASSESSMENT

The mode of public assessment in the Compulsory Part is shown below:

Component		Weighting	Duration
Public Examination	Paper 1 Conventional questions Paper 2 Multiple-choice questions	65% 35%	2¼ hours 1¼ hours

The mode of public assessment in Module 2 (Algebra and Calculus) is shown below:

Component		Weighting	Duration
Public Examination	Conventional questions	100%	2½ hours

Learning Content of the Compulsory Part

Number and Algebra Strand

1. Quadratic equations in one unknown
2. Functions and graphs
3. Exponential and logarithmic functions
4. More about polynomials
5. More about equations
6. Variations
7. Arithmetic and geometric sequences and their summations
8. Inequalities and linear programming
9. More about graphs of functions

Measures, Shape and Space Strand

10. Equations of straight lines
11. Basic properties of circles
12. Loci
13. Equations of circles
14. More about trigonometry

Data Handling Strand

15. Permutations and combinations
16. More about probability
17. Measures of dispersion
18. Uses and abuses of statistics

Further Learning Unit

19. Further applications
20. Inquiry and investigation

Learning Content of the Extended Part Module 2 (Algebra and Calculus)

Foundation Knowledge

1. Odd and even functions
2. Mathematical induction
3. The binomial theorem
4. More about trigonometric functions
5. Introduction to e

Calculus

6. Limits
7. Differentiation
8. Applications of differentiation
9. Indefinite integration and its applications
10. Definite integration
11. Applications of definite integration

Algebra

12. Determinants
13. Matrices
14. Systems of linear equations
15. Introduction to vectors
16. Scalar product and vector product
17. Applications of vectors

Further Learning Unit

Inquiry and investigation

Teaching features:

• E-Learning
• Grouping according to students' abilities
• Guided discovery approach

Other Activities:

• Interschool Mathematics Competition
• Cross Curriculum Project Learning
• Subject Based Project Learning
• Co-organizing territory-wide Mathematics Competition

Awards: