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Mathematics Education - Secondary 1 to 3

 S1 Mathematics ELA Modules Unit Dimension Student Ability Level Language Objectives Mode of ELA 1. Basic Mathematics and Numbers Number & Algebra Low to Average Understand the English terms related to arithmetic operations with positive and negative numbers, and understand and use the English expressions for explaining how to represent directed numbers on a number line. Teaching a new topic through the medium of English 2. Basic Mathematics and Numbers - Vocabulary Number & Algebra Average Understand, spell and pronounce the English terms related to numbers and calculations, and use these English terms to complete a fill-in-the-blank exercise for consolidating their understanding of the key concepts related to numbers. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 3. Polynomials Number & Algebra Low to Average Understand the English terms related to polynomials, and understand the English expressions for explaining the key concepts related to polynomials. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 4. Introduction to Geometry – Angles and lines Measures, shape & space Low to Average Understand the English terminology for describing lines and angles found in introductory Geometry; use the English terminology to match the English names of various angles with their corresponding diagrams; classify angles into acute angles, right angles, obtuse angles, straight angles, reflex angles and round angles, and complete a cross-word puzzle by labelling a set of given angles in a diagram. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 5. Sequence and Function Number & Algebra Average Better understand the English terms and expressions related to sequence; state in English how an arithmetical or a geometric sequence is formed, using the appropriate sentence pattern, and define an arithmetic sequence and a geometric sequence in English, using an appropriate sentence pattern. Teaching a new topic through the medium of English 6. Symmetry Measures, shape & space Low to Average Recognise and understand the English technical terms related to reflectional and rotational symmetry, and understand the definitions and characteristics of reflectional symmetry and rotational symmetry when explained in English. Teaching a new topic through the medium of English 7. Area and Volume – 2D Shapes Measures, shape & space Average Recognise the English technical terms related to finding the areas of regular shapes and irregular shapes; write in English the formulae for finding the areas of five regular shapes, and understand the English expressions for explaining how to use the dividing method and the filling method to find the area of an irregular shape. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 8. Area and Volume – 2D and 3D Shapes Measures, shape & space Low to Average Understand the English terms related to area and volume; describe area and volume properties in simple English; use the English formulae for finding the area of two-dimensional figures and the volume of three-dimensional figures, and understand the English instructions for completing the mathematical tasks set in the worksheets. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 9. Constructing Congruent triangles Measures, shape & space Average Recognize and understand the key English terms related to congruent triangles; understand the English expressions for explaining the properties and conditions for congruent triangles, and use correct notations to indicate the conditions for two triangles to be congruent. Teaching a new topic through the medium of English 10. Similar Triangles Measures, shape & space Average Recognize and understand the English key words used in describing similar triangles; understand the English expressions for explaining the properties two figures need to be similar; understand the English expressions for explaining the conditions required for two triangles to be similar, and identify pairs of similar triangles by stating the conditions in English. Teaching a new topic through the medium of English 11. Organizing Data Data Handling Average Recognize and pronounce the English key words used in statistics; understand and state in English the basic principles for grouping data, and understand and state in English the problems of grouping data into a very small number of groups or a very large number of groups. Teaching a new topic through the medium of English 12. Introduction to Statistics Data Handling Low to Average Recognize and understand the English technical terms related to the classification of data types; understand the English expressions for explaining the characteristics of continuous, discrete and nominal data, and state the correct types of data after reading examples of various data types. Teaching a new topic through the medium of English 13. Stem-and-leaf Diagrams Data Handling High Understand the English terms used in stem-and-leaf diagrams;  understand the English expressions for explaining the characteristics of a stem-and-leaf diagram, and understand and use the English expressions for explaining the procedures for constructing a stem-and-leaf diagram; understand and use the English expressions for discussing the findings from a stem-and-leaf diagram. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 14. Introduction to Coordinates Measures, shape & space Average Understand and use the English terms related to rectangular coordinate systems, and understand the English expressions for explaining how a rectangular coordinate system is constructed. Teaching a new topic through the medium of English 15. Percentage Number & Algebra Average Understand English key words related to the topic of percentages; understand the English expressions for explaining key concepts related to the topic, and use English to discuss problems related to percentages. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic

 S2 Mathematics ELA Modules Unit Dimension Student Ability Level Language Objectives Mode of ELA 1. Pythagoras’ Theorem Measures, shape & space Average Understand English terms related to the topic of Pythagoras’ Theorem, and use the key terms to state the Theorem and the Converse of the Theorem. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 2. Irrational Number Number & Algebra Average Understand the English terms related to the concepts of rational numbers and irrational numbers, and understand the English expressions for explaining the relations between square numbers and square roots and the differences between rational numbers and irrational numbers. Teaching a new topic through the medium of English 3. Simultaneous Linear Equations Number & Algebra Average Understand the key English terms related to the topic of simultaneous linear equations; understand the English expressions for explaining the graphical method, and understand and use the English expressions to discuss the drawbacks of using the graphical method to solve simultaneous linear equations. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 4. Ratio and Rate Number & Algebra Average Understand and use the English terms associated with ratio and rate, and understand and use the English expressions for explaining the key concepts (ratio, rate & scale). Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 5. Presentation of Continuous Data Data Handling Average Understand and use the English key words used in discussing the construction of histograms; understand the English expressions for explaining the key concepts, and understand the English expressions for explaining how to draw a histogram. Teaching a new topic through the medium of English

 S3 Mathematics ELA Modules Unit Dimension Student Ability Level Language Objectives Mode of ELA 1. Introduction to inequalities Number & Algebra Average Understand the English terms related to inequalities, and understand the English expressions for explaining the key concepts related to inequalities. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 2. Probability – Simple Events Data Handling Average Understand the English terms related to probability; understand the English expressions for explaining the key concepts related to probability, and understand the English expressions for explaining how to calculate the probability of an event. Teaching a new topic through the medium of English 3. Probability – Mutually Exclusive Events Data Handling Average Understand the English terms related to mutually exclusive events, and understand the English expressions for explaining the key concepts related to this topic. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 4. Distance between Two Points Measures, shape & space Average Understand and use the key English terms related to the topic of distance between two points, and state in English the coordinates of a point. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic 5. Properties of Quadrilaterals Measures, shape & space Average Understand the English terms for describing the properties of five types of quadrilaterals, and use the English terms to describe the properties of the five types of quadrilaterals. Re-teaching a topic originally taught in Chinese through the medium of English and teaching a new aspect of the topic

Last revision date: 14 May 2012