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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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25. Intersection points (1)
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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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36. The anti-derivative
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37. Integrating
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39. Area under the curve
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84. Volumes of revolution
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90. Rational functions
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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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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: 27
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A formula involving the unit vector in the direction of another vector
Whiteboard exercise
Play
Application of the properties of the scalar product
Animation
Play
Calculating the scalar product of two vectors
Whiteboard exercise
Play
Finding a vector
Animation
Play
Finding perpendicular vectors
Whiteboard exercise
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Finding the parameter
Whiteboard exercise
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Finding the resolved part of a vector in the direction of another vector
Whiteboard exercise
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Finding the scalar product
Whiteboard exercise
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Finding the scalar product of two vectors
Whiteboard exercise
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Finding the scalar product of two vectors in the coordinate system
Whiteboard exercise
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More problems involving the scalar product
Student activity
Play
Problems involving the scalar product
Whiteboard exercise
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Right-angled triangle
Animation
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The angle between two vectors
Simulation
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The properties of the scalar product
Student activity
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The resolved part of a vector in the direction of another vector
Student activity
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The resolved part of a vector in the direction of another vector
Animation
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The scalar product (1)
Whiteboard presentation
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The scalar product (1)
Class activity
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The scalar product in the coordinate system
Student activity
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The scalar product in the coordinate system
Animation
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The scalar product of any two vectors
Simulation
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The scalar product of parallel and perpendicular vectors
Whiteboard exercise
Play
The scalar product of parallel and perpendicular vectors
Student activity
Play
The scalar product of two vectors
Animation
Play
Resources: 1 – 25 Total: 27
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