### Aims and Objectives

The overall curriculum aims of the Mathematics Education Key Learning Area are to develop in students:

- 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;
- the ability to communicate with others and express their views clearly and logically in mathematical language;
- the ability to manipulate numbers, symbols and other mathematical objects;
- number sense, symbol sense, spatial sense, measurement sense and the capacity to appreciate structures and patterns;
- a positive attitude towards the learning of mathematics and an appreciation of the aesthetic nature and cultural aspects of mathematics.

### Department Members

Department Head |
Mr. Cheuk DTW |

Teachers |
Ms. Chan YWA, Ms. Fung HT, Mr. Leung YC Mr. Tang WK, Ms. Yau BK, Ms. Yip YH Mr. Yu YT, Ms Wong HTG |

### Curriculum (Junior Form)

Number and Algebra Dimension

A. Number and Number Systems

- Directed Numbers and the Number Line
- Numerical Estimation
- Approximation and Errors
- Rational and Irrational Numbers

B. Comparing Quantities

- Using Percentages
- More about Percentages
- Rate and Ratio

C. Observing Patterns and Expressing Generality

- Formulating Problems with Algebraic Language
- Manipulations of Simple Polynomials
- Laws of Integral Indices
- Factorization of Simple Polynomials

D. Algebraic Relations and Functions

- Linear Equations in One Unknown
- Linear Equations in Two Unknowns
- Identities
- Formulas
- Linear Inequalities in One Unknown

Measures, Shape and Space Dimension

A. Measures in 2D and 3D figures

- Estimation in Measurement
- Simple Idea of Areas and Volumes
- More about Areas and Volumes

B. Learning Geometry through an Intuitive Approach

- Introduction to Geometry
- Transformation and Symmetry
- Congruence and Similarity
- Angles Related with Lines and Rectilinear Figures
- More about 3-D

C. Learning Geometry through a Deductive Approach

- Simple Introduction to Deductive Geometry
- Pythagoras' Theorem
- Quadrilaterals

D. Learning Geometry through an Analytic Approach

- Introduction to Coordinates
- Coordinates Geometry of Straight Lines

E. Trigonometry

- Trigonometric Ratios and Using Trigonometry

Data Handling Dimension

A. Organization and Presentation of Data

- Introduction to Various Stages of Statistics
- Construction and Interpretation of Simple Diagrams and Graphs

B. Analysis and Interpretation of Data

- Measures of Central Tendency

C. Probability

- Simple Idea of Probability

### Curriculum (Senior Form)

Compulsory Part

A. 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

B. Measures, Shape and Space Strand

- Equations of straight lines
- Basic properties of circles
- Loci
- Equations of circles
- More about trigonometry

C. Data Handling Strand

- Permutations and combinations
- More about probability
- Measures of dispersion
- Uses and abuses of statistics

D. Further Learning Unit

- Further applications
- Inquiry and investigation

Extended Part Module 1 (Calculus and Statistics)

A. Foundation Knowledge

- Binomial expansion
- Exponential and logarithmic functions

B. Calculus

- 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

C. 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
- Applications of the normal distribution
- Sampling distribution and point estimates
- Confidence interval for a population mean

D. Further Learning Unit

- Inquiry and investigation

Extended Part Module 2 (Algebra and Calculus)

A. Foundation Knowledge

- Odd and even functions
- Mathematical induction
- The binomial theorem
- More about trigonometric functions
- Introduction to e

B. Calculus

- Limits
- Differentiation
- Applications of differentiation
- Indefinite integration and its applications
- Definite integration
- Applications of definite integration

C. Algebra

- Determinants
- Matrices
- Systems of linear equations
- Introduction to vectors
- Scalar product and vector product
- Applications of vectors

D. Further Learning Unit

- Inquiry and investigation

### Useful Links

- Hong Kong Association for Science and Mathematics Education
- Hong Kong Association for Mathematics Education
- Mathematics Education, Education Bureau
- Department of Mathematics, The University of Hong Kong
- Department of Mathematics, The Chinese University of Hong Kong
- Department of Mathematics, Hong Kong University of Science and Technology
- Department of Applied Mathematics, The Hong Kong Polytechnic University
- Department of Mathematics, City University of Hong Kong
- Department of Mathematics, Hong Kong Baptist University
- Department of Mathematics and Information Technology, The Education University of Hong Kong
- Enrichment Programme for Young Mathematics Talents, The Chinese University of Hong Kong
- International Mathematical Olympiad Hong Kong Committee
- International Mathematical Olympiad
- Hang Lung Mathematics Awards
- Fields Medal
- Mathematical Association of America
- American Mathematical Society