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I. Numbers (1)
(34)
1. Surds
(34)
II. Quadratic functions
(235)
2. Quadratic functions, graphs
(45)
3. Factorisation of quadratic functions
(46)
4. Quadratic equations
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III. Polynomials
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10. Division of polynomials
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11. The factor and remainder theorems
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12. Factorisation of polynomials
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13. Factorisation and roots of polynomials
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IV. Graphs of polynomials
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19. Translations and graphs
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V. Coordinate geometry (1)
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20. Equation of a straight line
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21. Parallel and perpendicular lines
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22. Coordinate geometry of a circle
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23. The tangent
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24. The normal
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25. Intersection points (1)
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26. Intersection points (2)
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VI. Differentiation (1)
(239)
27. The derivative
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28. Differentiation of simple functions
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29. Differentiation of polynomials
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30. Finding gradients, tangents and normals
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31. Monotonicity
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32. Local extrema, stationary points, critical points
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33. Finding local extrema
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34. Finding maximum and minimum values
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35. Second-order derivatives
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VII. Integration (1)
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36. The anti-derivative
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37. Integrating
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38. The definite integral
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39. Area under the curve
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VIII. Numbers (2)
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40. Laws of indices – rational exponents
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50. General angles
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52. Basic trigonometric functions
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53. Graphs of trigonometric functions
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54. Simple trigonometric equations
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55. Solving simple trigonometric equations
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56. The area of a triangle
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57. The sine rule
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59. Measuring the circle
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66. Approximation of the area under a curve
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XV. Functions
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67. Functions – basic notions
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68. Composition of functions
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69. Inverse function
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70. The modulus function
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71. Transformation of graphs
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XVI. Trigonometry (3)
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72. Inverse trigonometric functions
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73. Other trigonometric functions
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74. Identities for trigonometric functions
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XVII. Exponentials and logarithms
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75. The natural exponential function
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76. The natural logarithmic function
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XVIII. Differentiation (3)
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77. Derivatives of exponential and logarithmic functions
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78. Derivatives of trigonometric functions
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79. Differentiation rules (1)
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80. Differentiation rules (2)
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XIX. Integration (3)
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81. Integration of selected functions
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82. Integration methods (1)
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83. Integration methods (2)
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84. Volumes of revolution
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XX. Numerical methods
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85. Zeros of a function
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86. Approximate solution of equations
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87. Numerical integration – mid-ordinate rule
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88. Numerical integration – Simpson's rule
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XXI. Rational functions
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89. Rational expressions
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90. Rational functions
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91. Algebraic division
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92. Partial fractions
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XXII. Coordinate geometry (2)
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93. Equations of curves
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94. Parametric equations of curves
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XXIII. Sequences and series
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95. Binomial series
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96. Expansion of rational functions
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XXIV. Trigonometry (3)
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97. Trigonometric functions of the sum and difference of angles (1)
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98. Trigonometric functions of the sum and difference of angles (2)
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99. Double-angle formulas
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XXV. Exponentials and logarithms
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100. Exponential growth and decay
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XXVI. Differentiation and integration
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101. Differential equations
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102. Equations with separable variables
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103. Implicit differentiation
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104. Parametric differentiation
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105. Tangents and normals for implicitly or parametrically defined curves
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106. Integration using partial fractions
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XXVII. Vectors
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107. Vectors
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108. Algebraic operations on vectors
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109. Position vectors
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110. Vector equations of lines in 2-D
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111. Vector equations of lines in 3-D
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112. The scalar product (1)
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113. The scalar product (2)
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114. Perpendicular distance from a point to a line
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Resources: 1 – 22 Total: 22
Graph of the linear function
Animation
Play
Graphical interpretation of algebraic solutions
Student activity
Play
Graphical interpretation of algebraic solutions
Whiteboard exercise
Play
Graphical interpretation of algebraic solutions – simple case
Whiteboard exercise
Play
Graphical solution of equations
Whiteboard exercise
Play
Graphical solution of equations
Student activity
Play
Graphical solution of equations
Animation
Play
Graphical solution of equations (1)
Class activity
Play
Graphical solution of equations (1)
Whiteboard presentation
Play
Graphical solution of equations – applications
Whiteboard exercise
Play
Graphical solution of equations – applications
Student activity
Play
Graphing linear equations
Student activity
Play
Graphing linear equations
Whiteboard exercise
Play
Intersection point
Animation
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Intersection point of two straight lines
Simulation
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Intersection point of two straight lines
Whiteboard exercise
Play
Intersection points of two straight lines
Student activity
Play
Marking graphs of linear equations
Whiteboard exercise
Play
Properties of a straight line (a reminder)
Student activity
Play
Properties of a straight line (a reminder)
Whiteboard exercise
Play
Use of intersection points
Whiteboard exercise
Play
Use of intersection points
Student activity
Play
Resources: 1 – 22 Total: 22
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