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Hong Kong Mathematics Curriculum for Senior Secondary School - Coggle…
Hong Kong Mathematics Curriculum for Senior Secondary School
References
Mathematics Curriculum and Assessment Guides (S4-S6)
Mathematics Education Key Learning Area Curriculum Guide (Primary 1- Secondary 6)
Learning Areas
Compulsary Part
Number and Algebra Strand
Quadratic equations in one unknown
Functions and graphs
Exponential and logarithmic functions
More about polynomials
More about equations
Variations
Arithmetic and geometric sequences and their summations
Inequalities and linear programming
More about graphs of functions
Measure, Shape and Space Strand
Equations of straight lines
Basic properties of circles
Loci
Equations of circles
More about trigonometry
Data handling Strand
Permutations and combinations
More about probability
Measures of dispersion
Uses and abuses of statistics
Further Learning Unit
Further applications
Inquiry and investigation
Extended Part (Module 1)
Foundation knowledge
Binomial expansion
Exponential and logarithmic functions
Statistics
Conditional probability and Bayes' theorem
Discrete random variables
Probability distribution, expectation and variance
The binomial distribution
The Poisson distribution
Applications of the binomial and the Poisson distributions
Basic definition and properties of the normal distribution
Standardisation of a normal variable and use of the standard normal table
Application of the normal distribution
Sampling distribution and point estimates
Confidence interval for a population mean
Calculus
Binomial expansion
Exponential and logarithmic functions
Derivative of a function
Differentiation of a function
Second derivative
Applications of differentiation
Indefinite integration and its applications
Definite integration and its applications
Approximation of definite integrals using the trapezoidal rule
Further learning unit
Inquiry and investigation
Extended Part (Module 2)
Algebra
Determinants
Matrices
Systems of linear equations
Introduction to vectors
Scalar product and vector product
Applications of vectors
Calculus
Limits
Differentiation
Application of differentiation
Indefinite integration and its applications
Definite integration
Applications of definite integration
Foundation Knowledge
Odd and even functions
Mathematical induction
The binomial theorem
More about trigonometric functions
Introduction to e
Further learning unit
Inquiry and investigations
Assessment Methods
Internal assessment
Test
Examination
Homework
Oral questioning
Projects
Exploratory task
Public assessment
Hong Kong Diploma of Secondary Education Examination
Teaching & Learning Strategies
Teaching as inquiry
Exploring and discovering
Teaching as co-construction
Students discuss about mathematics and share their arguments
teacher helps to develop a problem solving environment
Teaching as direct instruction
Explaining, demonstrating ad=nd modelling context of mathematics