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I. Numbers (1)
(386)
1. Integers
(44)
2. Divisibility
(47)
3. Prime factor decomposition
(32)
4. Fractions
(31)
5. Operations on fractions
(36)
6. Decimals
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7. Decimals and fractions
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8. General division
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9. Powers and roots
(42)
10. Standard index form
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11. Use of a calculator
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II. Geometry and transformations
(360)
12. Triangles
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14. Quadrilaterals and their properties
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15. Polygons and regular polygons
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17. Symmetry
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18. Translations, reflections, rotations
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19. Enlargements
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20. Similarity
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21. Similarity – solving problems
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III. Algebraic expressions
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22. Algebraic expressions
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23. Multiplying out the brackets
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24. Multiplication formulas
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25. Factorisation (by grouping)
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26. Factorisation (other methods)
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27. More factorisation
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IV. Algebraic fractions (1)
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28. Solving equations involving algebraic fractions
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29. Changing the subject of the formula
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V. Reasoning
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30. Mathematical statements
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31. Deductive reasoning
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32. Understanding the theorem
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33. Problem solving
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34. Problem assumptions
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VI. Sets
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35. Sets
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VII. Handling Data
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36. Problem specification
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37. Sampling
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38. Representing data
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39. Measures of central tendency – the arithmetic mean
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40. Measures of central tendency – the mode, the median
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41. Measures of variability (1)
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42. Measures of variability (2)
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43. Cumulative frequency curve
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44. Skewness
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45. Case study (1)
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46. Case study (2)
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VIII. Geometry – Pythagorean theorem
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47. Pythagorean theorem
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48. Application of the Pythagorean theorem in 2-D
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49. Application of the Pythagorean theorem in 3-D
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50. Ruler-and-compass constructions, locus (1)
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IX. The circle
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52. The circle
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55. Equation of a circle
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56. Mutual position of two circles
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57. Mutual position of a line and a circle
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58. Circles inscribed and circumscribed
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X. Percentages
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60. Percentages
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62. Repeated percentage change
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XI. Sequences
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63. Looking for the pattern
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64. Finding the nth term of a sequence
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XII. Ratio and proportion
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65. Ratios
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66. Proportions
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67. Direct proportion
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68. Inverse proportion
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69. Rates of change
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70. Trigonometric ratios in a right-angled triangle
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71. Solving problems involving trigonometric ratios
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72. Trigonometry of a general angle
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73. Properties of trigonometric functions of a general angle (1)
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74. Properties of trigonometric functions of a general angle (2)
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75. Graphs of trigonometric functions
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76. Use of a calculator
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XIV. Probability
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77. Random processes
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78. Counting problems
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79. Classical concept of probability (1)
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80. Classical concept of probability (2)
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81. The set of possible outcomes
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82. Mutually exclusive events
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83. Independent events (1)
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84. Independent events (2)
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85. Solving simple problems in probability
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XV. Graphs of different functions
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86. A function and its graph
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87. Equation of a straight line
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88. Linear function
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89. Quadratic function (1)
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90. Quadratic function (2)
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91. Other functions
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92. Graphs and real-life situations
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XVI. Measures on the plane and in space
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93. Measuring (1)
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94. Measuring (2)
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95. Areas of plane shapes (1)
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96. Areas of plane shapes (2)
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97. Volume and surface area of prisms
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98. Volume and surface area of pyramids
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99. Volume and surface area of cylinders and spheres
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100. Volume and surface area of cones
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101. Volumes of similar solids
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XVII. Solving equations
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102. Linear equations, solving linear equations
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103. Solving simultaneous linear equations (1)
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104. Solving simultaneous linear equations (2)
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105. Solving problems involving simultaneous equations
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106. Solving quadratic equations
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107. The quadratic formula
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108. Solving problems involving quadratic equations (1)
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109. Solving problems involving quadratic equations (2)
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110. Solving equations by trial and error (1)
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111. Solving equations by trial and error (2)
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XVIII. Algebraic fractions (2)
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112. Inequalities (1)
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113. Inequalities (2)
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XIX. Numbers (2)
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114. Powers, roots and indices
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115. Irrational numbers
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XX. Vectors
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116. Vectors
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117. Operations on vectors
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118. Scalar multiple
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119. Applications of vectors
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XXI. Correlation and regression
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120. Sampling techniques
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121. Regression line
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122. Correlation
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123. Analysing and comparing sets of data
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124. Using probability to analyse random events
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XXII. Trigonometry (2)
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125. Trigonometric equations (1)
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126. Trigonometric equations (2)
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127. The sine formula for the area of a triangle
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128. Solving problems involving trigonometric equations
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129. Pythagorean theorem and trigonometry in 3-D
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XXIII. Transformations of graphs
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130. Transforming graphs of various functions
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131. Transforming graphs of trigonometric functions (1)
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132. Transforming graphs of trigonometric functions (2)
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133. Using graphs (1)
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134. Using graphs (2)
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135. Graphs of simple loci
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136. Area under a curve
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137. Tangents to graphs
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Dependent or independent event?
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Drawing a card
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Drawing the marbles
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Example of mutually exclusive events
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Independence of events
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Independence of events and die rolling
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Practising throws
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Selling fruits
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Tossing a coin – a case study with a tree
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Two basketball players
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Two basketball players
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Working on the tree
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