New Senior Secondary Mathematics Curriculum Extended Modules (M1 or M2) in Mathematics 1 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 2 Module 1 (M1) / Module 2 (M2) NOT an elective subject M1 / M2 - only an Extended Part of mathematics. 3 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 4 M1/M2 is designed for students more who need maths knowledge / skills for their Future Studies and Careers Students taking M1/M2 have to handle more Complicated Problems / Concepts 5 Maths Extended Part Module 1 (M1) Module 2 (M2) Emphasize mathematical applications (Calculus and Statistics) Emphasize understanding of in-depth mathematics (Algebra and Calculus) 6 NSS Mathematics Topics 7 Compulsory Part Number & Algebra Area 1. 2. 3. 4. 5. 6. 7. 8. 9. Quadratic equations in one unknown Functions & Graphs Exponential & log functions More about polynomials More about equations Variations Arithmetic & Geometric sequences & summations Inequalities & Linear Programming 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 8 Extended Part M1 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 9 23. Confidence interval for a population proportion Extended Part M2 Foundation Knowledge Area 1. 2. 3. 4. 5. Surds Mathematical Induction Binomial Theorem More about Trigonometric functions Introduction to the number e Calculus Area Algebra Area 6. Limits 7. Differentiation 8. Application of Differentiation 9. Indefinite Integration 10. Definite Integration 11. Applications of Definite Integration 12. Determinants 13. Matrices 14. Systems of Linear Equations 15. Introduction ot Vectors 16. Scalar product & Vector product 17. Applications of Vectors 10 Maths Extended Part M1/M2 (is Required / is Preferred) University Entrance Requirement for Specific subjects Engineering 工程學 Actuarial Science 精算 Quantitative Finance 計量金融 ….. Required / Preferred 11 Assessment Hong Kong Diploma of Secondary Education (HKDSE) Examination Compulsory Part Module 1 Paper 1 Conventional Questions (2 hours 15 minutes) Conventional Questions (2 hours 30 minutes) Module 2 Paper 2 Multiple Choice (1 hour 15 minutes) Conventional Questions (2 hours 30 minutes) 12 Hong Kong Diploma of Secondary Education (HKDSE) Examination DSE Exam Results in Compulsory Part & Extended Part are counted as one subject Exam. results of both parts are Reported Separately 13 Hong Kong Examinations and Assessment Authority (HKEAA) Hong Kong Diploma of Secondary Education (HKDSE) Examination 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 eg. Students got 5** in both compulsory part & extended part but these two parts are counted as one 5** 14 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 15 CSK – M1/M2 (provisional) To be offered to S5 & S6 students (after the taster year in F4) To be conducted after school 16 Thank you 17