# 1 Extended Modules (M1 or M2) in Mathematics New Senior Secondary Mathematics Curriculum.

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1 Extended Modules (M1 or M2) in Mathematics New Senior Secondary Mathematics Curriculum

2 NSS Mathematics Curriculum Compulsory Part (all students) Extended Part Module 1 (M1) or Module 2 (M2) Maths curriculum comprises a Compulsory Part & an Extended Part

3 Module 1 (M1) / Module 2 (M2) NOT an elective subject M1 / M2 - only an Extended Part of mathematics.

4 Compulsory Part ONLY (all students) Compulsory Part + Extended Part M1 Compulsory Part + Extended Part M2 Students may take the compulsory Part only, or the Compulsory Part with either Module 1 or Module 2 from the extended Part

5 M1/M2 is designed for students who need more maths knowledge / skills for their Future Studies and Careers Students taking M1/M2 have to handle more Complicated Problems / Concepts

6 Maths Extended Part Module 1 (M1) Emphasize mathematical applications (Calculus and Statistics) Module 2 (M2) Emphasize understanding of in-depth mathematics (Algebra and Calculus)

7 NSS Mathematics Topics

8 Number & Algebra Area 1.Quadratic equations in one unknown 2.Functions & Graphs 3.Exponential & log functions 4.More about polynomials 5.More about equations 6.Variations 7.Arithmetic & Geometric sequences & summations 8.Inequalities & Linear Programming 9.More about graphs of functions Measures, Shape & Space Area 10. Basic properties of Circles 11. Locus 12. Equations of Straight lines & circles 13. More about trigonometry Data Handling Area 14. Permutation & Combination 15. More about Probability 16. Measure of Dispersion 17. Uses & Abuses of Statistics Compulsory Part

9 Foundation Knowledge Area 1.Binomial Expansion 2.Exponential & Log functions Calculus Area 3. Derivative of a function 4. Differentiation of a function 5. Second Derivative 6. Application of Differentiation 7. Indefinite integrals & their applications 8. Definite integrals & their applications 9. Approximation of definite integrals Statistics Area 10. Conditional Probability & Independence 11. Bayes’ Theorem 12. Discrete random variables 13. Probability distribution, expectation & variance 14. Binomial distribution 15. Geometric distribution 16. Poisson distribution 17. Applications of distributions 18. Definition & properties of Normal distribution 19. Standardisation of a normal variable & standard normal table 20. Applications of Normal distribution 21. Sampling distribution & Point estimates 22.Confidence interval for a population mean 23. Confidence interval for a population proportion Extended Part M1

10 Foundation Knowledge Area 1.Surds 2.Mathematical Induction 3.Binomial Theorem 4.More about Trigonometric functions 5.Introduction to the number e Calculus Area 6. Limits 7. Differentiation 8. Application of Differentiation 9. Indefinite Integration 10. Definite Integration 11. Applications of Definite Integration Algebra Area 12. Determinants 13. Matrices 14. Systems of Linear Equations 15. Introduction ot Vectors 16. Scalar product & Vector product 17. Applications of Vectors Extended Part M2

11 Maths Extended Part M1/M2 (is Required / is Preferred) University Entrance Requirement for Specific subjects Required / Preferred Engineering 工程學 Actuarial Science 精算 Quantitative Finance 計量金融 …..

12 Assessment Hong Kong Diploma of Secondary Education (HKDSE) Examination Compulsory Part Paper 1 Conventional Questions (2 hours 15 minutes) Paper 2 Multiple Choice (1 hour 15 minutes) Module 2 Conventional Questions (2 hours 30 minutes) Module 1 Conventional Questions (2 hours 30 minutes)

13 DSE Exam Results in Compulsory Part & Extended Part are counted as one subject Exam. results of both parts are Reported Separately Hong Kong Diploma of Secondary Education (HKDSE) Examination

14 If candidates have results in both parts in HKDSE, the better of the two will be selected for counting of awarded subject levels by HKEAA Hong Kong Examinations and Assessment Authority (HKEAA) Hong Kong Diploma of Secondary Education (HKDSE) Examination eg. Students got 5** in both compulsory part & extended part but these two parts are counted as one 5**

15 Students want to take M1/M2 Future studies / Career Intend to further studies in Maths or related areas – Engineering 工程學 Actuarial Science 精算 Quantitative Finance 計量金融 ….. Interest Strong interest in maths Ability With potential to handle more Complicated maths problems & concepts

16 CSK – M1/M2 (provisional) To be conducted after school To be offered to S5 & S6 students (after the taster year in F4)

17 Thank you

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