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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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III. 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
(27)
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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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)
(23)
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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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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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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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
(45)
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
(22)
83. Independent events (1)
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84. Independent events (2)
(22)
85. Solving simple problems in probability
(42)
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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Resources: 1 – 22 Total: 22
Are the events mutually exclusive?
Whiteboard exercise
Play
Are they mutually exclusive?
Student activity
Play
Drawing marbles – a case study with a tree
Whiteboard exercise
Play
Drawing marbles – a case study with a tree
Student activity
Play
Examples of mutually exclusive events
Animation
Play
Finding mutually exclusive events
Whiteboard exercise
Play
Mutually exclusive events
Class activity
Play
Mutually exclusive events
Whiteboard presentation
Play
Mutually exclusive events
Student activity
Play
Mutually exclusive events
Whiteboard exercise
Play
Probabilities of mutually exclusive events
Student activity
Play
Probabilities of mutually exclusive events
Whiteboard exercise
Play
Probabilities of mutually exclusive events – a special case
Whiteboard exercise
Play
Recognising mutually exclusive events on a probability tree
Student activity
Play
Recognising mutually exclusive events on a probability tree
Animation
Play
Sum of events
Whiteboard exercise
Play
Sum of events
Student activity
Play
The relationship between two mutually exclusive events
Animation
Play
The sum of mutually exclusive events
Animation
Play
Tossing a coin – a case study
Whiteboard exercise
Play
Tossing a coin – a case study
Student activity
Play
Tossing five fair coins
Animation
Play
Resources: 1 – 22 Total: 22
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