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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
(22)
7. Decimals and fractions
(27)
8. General division
(23)
9. Powers and roots
(42)
10. Standard index form
(39)
11. Use of a calculator
(43)
II. Geometry and transformations
(360)
12. Triangles
(35)
13. Congruence of triangles
(23)
14. Quadrilaterals and their properties
(40)
15. Polygons and regular polygons
(48)
16. Coordinates
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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
(26)
III. Algebraic expressions
(172)
22. Algebraic expressions
(27)
23. Multiplying out the brackets
(33)
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
(22)
IV. Algebraic fractions (1)
(53)
28. Solving equations involving algebraic fractions
(28)
29. Changing the subject of the formula
(25)
V. Reasoning
(121)
30. Mathematical statements
(30)
31. Deductive reasoning
(20)
32. Understanding the theorem
(21)
33. Problem solving
(27)
34. Problem assumptions
(23)
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
(54)
39. Measures of central tendency – the arithmetic mean
(36)
40. Measures of central tendency – the mode, the median
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41. Measures of variability (1)
(23)
42. Measures of variability (2)
(22)
43. Cumulative frequency curve
(21)
44. Skewness
(28)
45. Case study (1)
(25)
46. Case study (2)
(20)
VIII. Geometry – Pythagorean theorem
(155)
47. Pythagorean theorem
(33)
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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51. Ruler-and-compass constructions, locus (2)
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IX. The circle
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52. The circle
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53. Circle theorems
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54. Inscribed and central angles
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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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59. Solving problems involving circles
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X. Percentages
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60. Percentages
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61. Solving problems involving 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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XIII. Trigonometry (1)
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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
(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
(27)
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 – 21 Total: 21
Building a demonstration from a proof
Student activity
Play
Building a demonstration from a proof
Whiteboard exercise
Play
Building a proof from a demonstration
Whiteboard exercise
Play
Building a proof from a demonstration
Student activity
Play
Constructing a proof from a demonstration
Whiteboard exercise
Play
Constructing a proof from a demonstration
Student activity
Play
Demonstration of a theorem
Animation
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Demonstration of the formula for the area of a triangle
Whiteboard exercise
Play
Demonstration or proof?
Animation
Play
Demonstration or proof?
Student activity
Play
Is a practical demonstration reliable?
Whiteboard exercise
Play
Is a practical demonstration reliable?
Student activity
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Proof and demonstration of a theorem
Animation
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Proof and demonstration of the formula for the area of a triangle
Student activity
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Reading out the value of x from the picture
Whiteboard exercise
Play
Reliability of demonstration
Animation
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Sum of all positive integers from 1 to n
Animation
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The area of a triangle
Animation
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The sum of a positive number and its reciprocal
Animation
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Understanding the theorem
Class activity
Play
Understanding the theorem
Whiteboard presentation
Play
Resources: 1 – 21 Total: 21
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