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I. Numbers (1)
(34)
1. Surds
(34)
II. Quadratic functions
(235)
2. Quadratic functions, graphs
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3. Factorisation of quadratic functions
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4. Quadratic equations
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III. Polynomials
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8. Presentation of polynomials
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9. Algebraic manipulation of 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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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)
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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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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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54. Simple trigonometric equations
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56. The area of a triangle
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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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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 – 25 Total: 25
Derivative of the quadratic function
Whiteboard exercise
Play
Derivative of the quadratic function
Animation
Play
Derivative of the quadratic function
Student activity
Play
Differentiation of monomials
Student activity
Play
Differentiation of monomials
Whiteboard exercise
Play
Differentiation of polynomials
Whiteboard presentation
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Differentiation of polynomials
Class activity
Play
Example of derivative of the sum
Animation
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Gradient of the monomial at the given point
Whiteboard exercise
Play
More on derivatives
Whiteboard exercise
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More on derivatives
Student activity
Play
More on derivatives and gradients
Whiteboard exercise
Play
Recovering data
Student activity
Play
Recovering data
Whiteboard exercise
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The derivative of a sum of functions
Whiteboard exercise
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The derivative of a sum of functions
Student activity
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The derivatives of monomials
Student activity
Play
The derivatives of monomials
Whiteboard exercise
Play
The derivatives of monomials
Whiteboard exercise
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The derivatives of simple monomials
Whiteboard exercise
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The distance formula
Animation
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The gradient of the monomial
Whiteboard exercise
Play
The graphs of the derivatives
Student activity
Play
The graphs of the derivatives
Whiteboard exercise
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The values of the derivative of the sum
Whiteboard exercise
Play
Resources: 1 – 25 Total: 25
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