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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
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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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32. Local extrema, stationary points, critical points
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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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40. Laws of indices – rational exponents
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54. Simple trigonometric equations
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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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70. The modulus function
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71. Transformation of graphs
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74. Identities for trigonometric functions
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75. The natural exponential function
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79. Differentiation rules (1)
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81. Integration of selected functions
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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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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
A gallery of curves
Simulation
Play
A gallery of second-degree curves
Animation
Play
A parabola and its equation
Student activity
Play
A parabola and its equation
Whiteboard exercise
Play
Conic sections
Animation
Play
Construction of a parabola
Animation
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Drawing an ellipse
Animation
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Equation of a parabola
Student activity
Play
Equation of a parabola
Whiteboard exercise
Play
Equation of an ellipse
Whiteboard exercise
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Equation of an ellipse
Student activity
Play
Equations of curves
Whiteboard presentation
Play
Equations of curves
Class activity
Play
Finding the equation of a parabola
Animation
Play
Finding the equation of an ellipse
Animation
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Finding the graph of a parabola
Whiteboard exercise
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Finding the graph of an ellipse
Whiteboard exercise
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General equation of the parabola
Animation
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Geometric definition of an ellipse
Student activity
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Introduction to the parabola
Student activity
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Second-degree curves
Student activity
Play
Second-degree curves
Whiteboard exercise
Play
Resources: 1 – 22 Total: 22
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