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I. Numbers (1)
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1. Surds
(34)
II. Quadratic functions
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11. Division of polynomials
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(19)
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(20)
VI. Differentiation (1)
(250)
27. The derivativeThe derivative
(26)
28. Differentiation of simple functions
(34)
29. Differentiation of polynomials
(35)
30. Finding gradients, tangents and normals
(33)
31. Monotonicity
(27)
32. Local extrema, stationary points, critical points
(24)
33. Finding local extrema
(28)
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(28)
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(31)
35. Finding maximum and minimum values
(2)
VII. Integration (1)
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96. Expansion of rational functions
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112. The scalar product (1)
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114. Perpendicular distance from a point to a line
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I. Numbers
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1. Surds
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2. Laws of indices – rational exponents
(30)
V. Coordinate geometry
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19. Equation of a straight line
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20. Parallel and perpendicular lines
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21. Coordinate geometry of a circle
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22. The tangent
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23. The normal
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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
(395)
27. The derivative
(25)
28. Differentiation of simple functions
(28)
29. Differentiation of polynomials
(25)
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
(265)
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
(29)
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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Resources: 1 – 24 Total: 24
[Single activity]
A circle circumscribed about a triangle
Play
[Single activity]
A circle circumscribed about a triangle
Play
[Single activity]
A leaning tree
Play
[Single activity]
A leaning tree
Play
[Single activity]
A regular pentagon
Play
[Movie]
Ambiguous case of the sine rule
Play
[Movie]
Application of the sine rule
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[Simulation]
Finding the angles of a triangle
Play
[Single activity]
Finding the angles of a triangle – ambiguous case
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[Single activity]
Finding the angles of a triangle – ambiguous case
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[Single activity]
How high is the tree?
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[Single activity]
How high is the tree?
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[Movie]
Regular pentagon
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[Movie]
The area of a triangle
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[Single activity]
The area of the regular pentagon
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[Movie]
The floating buoy
Play
[Movie]
The law of sines
Play
[Activity set]
The sine rule
Play
[Presentation]
The sine rule
Play
[Single activity]
The sine rule (the law of sines)
Play
[Movie]
The sine rule and construction of a triangle
Play
[Single activity]
Using the law of sines
Play
[Single activity]
Using the sine rule
Play
[Single activity]
Using the sine rule
Play
Resources: 1 – 24 Total: 24
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