Extended Part

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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
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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
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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
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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
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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)
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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**
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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
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Thank you
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