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I. Numbers (1)
(34)
1. Surds
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II. Quadratic functions
(235)
2. Quadratic functions, graphs
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3. Factorisation of quadratic functions
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IV. Graphs of polynomials
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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)
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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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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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66. Approximation of the area under a curve
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82. Integration methods (1)
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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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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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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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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 – 24 Total: 24
Calculating the area
Animation
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Calculating the definite integral
Whiteboard exercise
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Calculating the definite integral
Whiteboard exercise
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Calculation methods for the indefinite integral
Student activity
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Definite integration by substitution
Animation
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Finding indefinite integrals using integration by parts
Whiteboard exercise
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Finding indefinite integrals using integration by substitution
Whiteboard exercise
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Finding the definite integral
Whiteboard exercise
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Finding the definite integral by substitution
Animation
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Finding the definite integral of f(ax + b)
Whiteboard exercise
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Finding the definite integral using integration by substitution
Student activity
Play
Finding the definite integral using the integration by parts
Animation
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Integration by parts of the definite integral
Whiteboard exercise
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Integration by parts of the definite integral
Animation
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Integration by parts of the definite integral
Student activity
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Integration by substitution of the definite integral
Student activity
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Integration by substitution of the definite integral
Whiteboard exercise
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Integration methods (2)
Class activity
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Integration methods (2)
Whiteboard presentation
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Simple indefinite integrals
Whiteboard exercise
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The definite integral of f(ax + b)
Student activity
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The definite integral of f(ax + b)
Animation
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The distance travelled by a car
Animation
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Worked examples
Student activity
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Resources: 1 – 24 Total: 24
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