Maths 數學

HKDSE Maths – Compulsory part (Total: 3 years, 225hrs@school)

Introduction (4:40) <YouTube>;  Syllabus <pdf download>

Number and Algebra 數與代數 (95hrs@school)

  1. Quadratic Equation in one unknown 一個未知數的二次方程式
  2. Functions and Graphs 函數與圖形
  3. Exponential and Logarithmic Functions 指數與對數函數
  4. More about Polynomials 多項式進階
  5. More about Equations 方程進階
  6. Variations 變分
  7. Arithmetic and Geometric Sequences 等差與等比數列
  8. Inequalities and Linear Programming 不等式與線性規劃
  9. More about Graphs of Functions 函數圖像進階

Measures, Shape and Space 量度、形狀與空間 (68hrs@school)

     10. Equations of Straight Lines 直線方程
     11. Basic Properties of Circles 圓的基本性質
     12. Loci 軌跡
     13. Equations of Circles 圓的方程
     14. More about Geometry 幾何進階

Data Handling 資料處理 (38hrs@school)
     15. Permutations and Combinations 排列與組合
     16. More about Probability 機率進階
     17. Measure of Dispersion 離差的度量
     18. Uses and abuses of statistics 統計學的使用與濫用

1. QE in one unknown

  • F4-01 Real Numbers and Complex Numbers (22:12) <YouTube><Notes>
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  • F4-03 Quadratic Equations in one unknown (27:44) <YouTube><Notes>
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  • F4-04 Roots and Coefficients of Roots (8:43) <YouTube><Notes>
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2. Functions and Graphs

  • F4-02 Functions and Graphs (11:32) <YouTube><Notes>
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  • F4-08 Quadratic Functions and Graphs (21:24) <YouTube><Notes>
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3. Exp and Log Functions

  • F4-07 Exponential and Logarithmic Functions (39:13) <YouTube><Notes>
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4. More about Polynomials

  • F4-06 More about Polynomials (39:09) <YouTube><Notes>
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5. More about Equations

  • F5-12 More about Quadratic Equations (24.36) <YouTube><Notes>
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  • F5-13 Simultaneous Equations (22:32) <YouTube><Notes>
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6. Variations

  • F4-11 Variations (11:20) <YouTube><Notes>
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7. Arithmetic and Geometric Sequences

  • F5-20 Arithmetic and Geometric Sequences (14:39) <YouTube><Notes>
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  • F5-21 Summation of Arithmetic and Geometric Sequences (15:46) <YouTube><Notes>
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8. Inequalities and Linear Programming

  • F5-16 Inequalities (12:41) <YouTube><Notes>
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  • F6-25 Linear Programming (16:24) <YouTube><Notes>
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9. More about Graphs of Functions

  • F5-17 More about Graphs of Functions (12:30) <YouTube><Notes>
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10. Equations of Straight Lines

  • F4-05 Equation of a Straight Line (15:02) <YouTube><Notes>
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11. Basic Properties of Circles

  • F5-14 Basic Properties of Circles (42:38) <YouTube><Notes>
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  • F5-15 Tangents to Circles (14:04) <YouTube><Notes>
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12. Loci

  • F6-23 Circles and Locus (19:29) <YouTube><Notes>
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  • Note: Lessons 12 and 13 are combined to form one video
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13. Equations of Circles

  • F6-23 Circles and Locus (19:29) <YouTube><Notes>
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  • Note: Lessons 12 and 13 are combined to form one video
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14. More about Trigonometry

  • F4-09 Trigonometry (27:49) <YouTube><Notes>
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  • F4-10 Important Formulae in Trigonometry (13:49) <YouTube><Notes>
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  • F6-24 Applications in Trigonometry (17:02) <YouTube><Notes>
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15. Permutations and Combinations

  • F5-18 Permutation and Combination (17:07) <YouTube><Notes>
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16. More about Probability

  • F5-19 More about Probability (49:08) <YouTube><Notes>
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17. Measures of Dispersion

  • F6-22 Measures of Dispersion (33:35) <YouTube><Notes>
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18. Uses and Abuses of Statistics

  • F6-26 Uses and Abuses of Statistics (24:38) <YouTube><Notes>
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