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I. Numbers (1)
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1. Surds
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(28)
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(19)
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(20)
VI. Differentiation (1)
(250)
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(26)
28. Differentiation of simple functions
(34)
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(35)
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(33)
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(27)
32. Local extrema, stationary points, critical points
(24)
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(28)
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(28)
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(31)
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(2)
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I. Numbers
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1. Surds
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V. Coordinate geometry
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19. Equation of a straight line
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22. The tangent
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24. Intersection points
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25. Equations of curves
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26. Parametric equations of curves
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VI. Differentiation
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27. The derivative
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28. Differentiation of simple functions
(28)
29. Differentiation of polynomials
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30. Finding gradients, tangents and normals
(32)
31. Monotonicity
(26)
32. Local extrema, stationary points, critical points
(23)
33. Finding local extrema
(27)
34. Finding maximum and minimum values
(28)
35. Second order derivatives
(25)
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
(29)
41. Integrating
(23)
42. The definite integral
(28)
43. Area under the curve
(33)
44. Integrals of powers with rational exponent
(28)
45. Approximation of the area under a curve
(25)
46. Integration of selected functions
(22)
47. Integration methods
(49)
48. Volumes of revolution
(28)
VIII. Graph transformations
(58)
49. Transformations of graphs
(58)
IX. Sequences and series
(253)
50. Sequences
(40)
51. Arithmetic sequence
(29)
52. Arithmetic series
(25)
53. Geometric sequence
(19)
54. Geometric series
(40)
55. Infinite convergent geometric series
(30)
56. The binomial expansion
(29)
57. Binomial series
(21)
58. Expansion of rational functions
(23)
X. Trigonometry
(398)
59. General angles
(35)
60. General angles, angle measures
(22)
61. Basic trigonometric functions
(33)
62. Graphs of trigonometric functions
(38)
63. Simple trigonometric equations
(24)
64. Solving simple trigonometric equations
(23)
65. The area of a triangle
(20)
66. The sine rule
(24)
67. The cosine rule
(24)
68. Measuring the circle
(20)
69. Inverse trigonometric functions
(23)
70. Other trigonometric functions
(22)
71. Identities for trigonometric functions
(26)
72. Trigonometric functions of the sum and difference of angles
(42)
73. Double-angle formulas
(22)
XI. Exponentials and logarithms
(159)
74. Exponential functions
(23)
75. The logarithm
(27)
76. Basic exponential equations
(22)
77. Exponential inequalities
(25)
78. The natural exponential function
(17)
79. The natural logarithmic function
(21)
80. Exponential growth and decay
(24)
XII. Functions
(153)
81. Functions – basic notions
(32)
82. Composition of functions
(41)
83. Inverse function
(24)
84. The modulus function
(36)
85. Transformation of graphs
(20)
XIII. Numerical methods
(86)
86. Zeros of a function
(28)
87. Approximate solution of equations
(22)
88. Numerical integration – mid-ordinate rule
(19)
89. Numerical integration – Simpson's rule
(17)
XIV. Rational functions
(97)
90. Rational expressions
(22)
91. Rational functions
(26)
92. Algebraic division
(20)
93. Partial fractions
(29)
XV. Differentiation and integration
(121)
94. Differential equations
(21)
95. Equations with separable variables
(20)
96. Implicit differentiation
(23)
97. Parametric differentiation
(19)
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
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104. Vector equations of lines in 3-D
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105. The scalar product
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106. Perpendicular distance from a point to a line
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[Single activity]
A central angle – finding the length of the arc
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[Single activity]
A central angle – finding the radius of the circle
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A circle circumscribed about a regular pentagon
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A circle circumscribed about a triangle
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A circle circumscribed about a triangle
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A circle inscribed in a triangle
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A leaning tree
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A leaning tree
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A plane and the wind
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A plane and the wind
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A polygon inscribed in a circle
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A quadrilateral inscribed in a circle
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A regular pentagon
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A special case of the inverse function
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Absolute value and graphs of trigonometric functions
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Absolute value and graphs of trigonometric functions
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Activities
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Ambiguous case of the sine rule
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Amplitude of the trigonometric functions
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An application
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An application of the sine and cosine rules
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An application of the sine and cosine rules
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An application – a rotating airplane propeller
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An electric circuit
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[Single activity]
An electric circuit
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