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I. Numbers
(64)
1. Surds
(34)
2. Laws of indices – rational exponents
(30)
II. Quadratic functions
(235)
3. Quadratic functions, graphs
(45)
4. Factorisation of quadratic functions
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(40)
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(29)
7. Inequalities
(30)
8. Quadratic inequalities
(45)
III. Polynomials
(195)
9. Presentation of polynomials
(37)
10. Algebraic manipulation of polynomials
(42)
11. Division of polynomials
(26)
12. The factor and remainder theorems
(26)
13. Factorisation of polynomials
(35)
14. Factorisation and roots of polynomials
(29)
IV. Graphs of polynomials
(125)
15. Sketching graphs
(22)
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(41)
17. Graphical solution of inequalities
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18. Translations and graphs
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V. Coordinate geometry
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19. Equation of a straight line
(27)
20. Parallel and perpendicular lines
(27)
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25. Equations of curves
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VI. Differentiation
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30. Finding gradients, tangents and normals
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31. Monotonicity
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(23)
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(27)
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36. Derivatives of powers with rational exponent
(35)
37. Derivatives of exponential and logarithmic functions
(35)
38. Derivatives of trigonometric functions
(28)
39. Differentiation rules
(58)
VII. Integration
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40. The anti-derivative
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41. Integrating
(23)
42. The definite integral
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43. Area under the curve
(33)
44. Integrals of powers with rational exponent
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45. Approximation of the area under a curve
(25)
46. Integration of selected functions
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47. Integration methods
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48. Volumes of revolution
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VIII. Graph transformations
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49. Transformations of graphs
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IX. Sequences and series
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52. Arithmetic series
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54. Geometric series
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55. Infinite convergent geometric series
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56. The binomial expansion
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57. Binomial series
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58. Expansion of rational functions
(23)
X. Trigonometry
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59. General angles
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60. General angles, angle measures
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61. Basic trigonometric functions
(33)
62. Graphs of trigonometric functions
(38)
63. Simple trigonometric equations
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64. Solving simple trigonometric equations
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65. The area of a triangle
(20)
66. The sine rule
(24)
67. The cosine rule
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68. Measuring the circle
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69. Inverse trigonometric functions
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70. Other trigonometric functions
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71. Identities for trigonometric functions
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72. Trigonometric functions of the sum and difference of angles
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73. Double-angle formulas
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XI. Exponentials and logarithms
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74. Exponential functions
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75. The logarithm
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76. Basic exponential equations
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77. Exponential inequalities
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78. The natural exponential function
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79. The natural logarithmic function
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80. Exponential growth and decay
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XII. Functions
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81. Functions – basic notions
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82. Composition of functions
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83. Inverse function
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84. The modulus function
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85. Transformation of graphs
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XIII. Numerical methods
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86. Zeros of a function
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87. Approximate solution of equations
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88. Numerical integration – mid-ordinate rule
(19)
89. Numerical integration – Simpson's rule
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XIV. Rational functions
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90. Rational expressions
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91. Rational functions
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92. Algebraic division
(20)
93. Partial fractions
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XV. Differentiation and integration
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94. Differential equations
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95. Equations with separable variables
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96. Implicit differentiation
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97. Parametric differentiation
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98. Tangents and normals for implicitly or parametrically defined curves
(18)
99. Integration using partial fractions
(20)
XVI. Vectors
(228)
100. Vectors
(33)
101. Algebraic operations on vectors
(37)
102. Position vectors
(31)
103. Vector equations of lines in 2-D
(29)
104. Vector equations of lines in 3-D
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105. The scalar product
(52)
106. Perpendicular distance from a point to a line
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Resources: 1 – 25 Total: 33
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Analytical representation of a vector in space
Student activity
Play
Analytical representation of a vector in space
Whiteboard exercise
Play
Basic notions
Whiteboard exercise
Play
Basic notions
Student activity
Play
Coordinates of vectors in space
Animation
Play
Introduction
Student activity
Play
Magnitudes of vectors
Student activity
Play
Magnitudes of vectors
Whiteboard exercise
Play
Magnitudes of vectors
Whiteboard exercise
Play
Opposite vectors
Animation
Play
Robin Hood
Simulation
Play
The appearance and notation of a vector
Animation
Play
The length of a vector on the plane
Animation
Play
The magnitude of a vector in space
Student activity
Play
The magnitude of a vector in space
Animation
Play
The magnitude of a vector in space
Whiteboard exercise
Play
The magnitude of a vector on the plane
Whiteboard exercise
Play
The magnitude of a vector on the plane
Student activity
Play
Vector and scalar
Slideshow
Play
Vectors
Student activity
Play
Vectors
Whiteboard presentation
Play
Vectors
Whiteboard exercise
Play
Vectors
Class activity
Play
Vectors and directions – a map game
Student activity
Play
Vectors and directions – a map game
Whiteboard exercise
Play
Resources: 1 – 25 Total: 33
Pages:
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