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I. Numbers
(64)
1. Surds
(34)
11.1.2
(34)
2. Laws of indices – rational exponents
(30)
11.1.2a
(30)
II. Quadratic functions
(235)
3. Quadratic functions. graphs
(45)
11.2.2.11.2.3
(45)
4. Factorisation of quadratic functions
(46)
11.2.2.11.2.3
(46)
5. Quadratic equations
(40)
11.2.5.11.2.2
(40)
6. Simultaneous equations
(29)
11.2.5.11.2.2
(29)
7. Inequalities
(30)
11.2.5
(30)
8. Quadratic inequalities
(45)
11.2.5
(45)
III. Polynomials
(195)
9. Presentation of polynomials
(37)
12.2.4
(37)
10. Algebraic manipulation of polynomials
(42)
12.2.4
(42)
11. Division of polynomials
(26)
12.2.4
(26)
12. The factor and remainder theorems
(26)
12.2.4
(26)
13. Factorisation of polynomials
(35)
12.2.4
(35)
14. Factorisation and roots of polynomials
(29)
12.2.4
(29)
IV. Graphs of polynomials
(125)
15. Sketching graphs
(22)
12.2.7d
(22)
16. Graphical solution of equations
(41)
11.2.8b
(41)
17. Graphical solution of inequalities
(43)
11.2.8b
(43)
18. Translations and graphs
(19)
10.3.4
(19)
V. Coordinate geometry
(217)
19. Equation of a straight line
(27)
11.3.3a.11.3.3b
(27)
20. Parallel and perpendicular lines
(27)
11.3.3b
(27)
21. Coordinate geometry of a circle
(37)
12.3.3
(37)
22. The tangent
(19)
12.3.3
(19)
23. The normal
(22)
12.3.3
(22)
24. Intersection points
(39)
12.3.3
(39)
25. Equations of curves
(22)
Extension
(22)
26. Parametric equations of curves
(24)
Extension
(24)
VI. Differentiation
(395)
27. The derivative
(25)
12.2.7a
(25)
28. Differentiation of simple functions
(28)
12.2.7
(28)
29. Differentiation of polynomials
(25)
12.2.7b
(25)
30. Finding gradients. tangents and normals
(32)
12.2.7
(32)
31. Monotonicity
(26)
12.2.7
(26)
32. Local extrema. stationary points, critical points
(23)
12.2.7
(23)
33. Finding local extrema
(27)
12.2.7
(27)
34. Finding maximum and minimum values
(28)
12.2.7
(28)
35. Second order derivatives
(25)
12.2.7
(25)
36. Derivatives of powers with rational exponent
(35)
12.2.7
(35)
37. Derivatives of exponential and logarithmic functions
(35)
Extension
(35)
38. Derivatives of trigonometric functions
(28)
Extension
(28)
39. Differentiation rules
(58)
Extension
(58)
VII. Integration
(265)
40. The anti-derivative
(29)
Extension
(29)
41. Integrating
(23)
Extension
(23)
42. The definite integral
(28)
Extension
(28)
43. Area under the curve
(33)
Extension
(33)
44. Integrals of powers with rational exponent
(28)
Extension
(28)
45. Approximation of the area under a curve
(25)
Extension
(25)
46. Integration of selected functions
(22)
Extension
(22)
47. Integration methods
(49)
Extension
(49)
48. Volumes of revolution
(28)
Extension
(28)
VIII. Graph transformations
(58)
49. Transformations of graphs
(58)
11.2.2
(58)
IX. Sequences and series
(256)
50. Sequences
(40)
11.1.3.12.1.3
(40)
51. Arithmetic sequence
(29)
12.1.3
(29)
52. Arithmetic series
(25)
12.1.3
(25)
53. Geometric sequence
(19)
12.1.3
(19)
54. Geometric series
(40)
12.1.3
(40)
55. Infinite convergent geometric series
(30)
12.1.3
(30)
56. The binomial expansion
(29)
12.1.3
(29)
57. Binomial series
(21)
Extension
(21)
58. Expansion of rational functions
(23)
Extension
(23)
X. Trigonometry
(398)
59. General angles
(35)
11.3.5
(35)
60. General angles. angle measures
(22)
Extension
(22)
61. Basic trigonometric functions
(33)
11.3.5
(33)
62. Graphs of trigonometric functions
(38)
11.2.2.11.2.3
(38)
63. Simple trigonometric equations
(24)
11.3.5
(24)
64. Solving simple trigonometric equations
(23)
11.3.5
(23)
65. The area of a triangle
(20)
11.3.5f.11.3.6
(20)
66. The sine rule
(24)
11.3.5f.11.3.6
(24)
67. The cosine rule
(24)
11.3.5f.11.3.6
(24)
68. Measuring the circle
(20)
Extension
(20)
69. Inverse trigonometric functions
(23)
Extension
(23)
70. Other trigonometric functions
(22)
Extension
(22)
71. Identities for trigonometric functions
(26)
Extension
(26)
72. Trigonometric functions of the sum and difference of angles
(42)
12.3.5
(42)
73. Double-angle formulas
(22)
12.3.5
(22)
XI. Exponentials and logarithms
(159)
74. Exponential functions
(23)
11.2.2.11.2.3
(23)
75. The logarithm
(27)
12.1.2
(27)
76. Basic exponential equations
(22)
12.1.2.11.2.5
(22)
77. Exponential inequalities
(25)
Extension
(25)
78. The natural exponential function
(17)
Extension
(17)
79. The natural logarithmic function
(21)
Extension
(21)
80. Exponential growth and decay
(24)
12.1.3
(24)
XII. Functions
(153)
81. Functions – basic notions
(32)
12.2.1
(32)
82. Composition of functions
(41)
12.2.2
(41)
83. Inverse function
(24)
12.2.2
(24)
84. The modulus function
(36)
Extension
(36)
85. Transformation of graphs
(20)
11.2.2
(20)
XIII. Numerical methods
(86)
86. Zeros of a function
(28)
12.2.3
(28)
87. Approximate solution of equations
(22)
Extension
(22)
88. Numerical integration – mid-ordinate rule
(19)
Extension
(19)
89. Numerical integration – Simpson's rule
(17)
Extension
(17)
XIV. Rational functions
(97)
90. Rational expressions
(22)
12.2.4
(22)
91. Rational functions
(26)
12.2.3
(26)
92. Algebraic division
(20)
12.2.4
(20)
93. Partial fractions
(29)
Extension
(29)
XV. Differentiation and integration
(121)
94. Differential equations
(21)
Extension
(21)
95. Equations with separable variables
(20)
Extension
(20)
96. Implicit differentiation
(23)
Extension
(23)
97. Parametric differentiation
(19)
Extension
(19)
98. Tangents and normals for implicitly or parametrically defined curves
(18)
Extension
(18)
99. Integration using partial fractions
(20)
Extension
(20)
XVI. Vectors
(228)
100. Vectors
(33)
Extension
(33)
101. Algebraic operations on vectors
(37)
Extension
(37)
102. Position vectors
(31)
Extension
(31)
103. Vector equations of lines in 2-D
(29)
Extension
(29)
104. Vector equations of lines in 3-D
(25)
Extension
(25)
105. The scalar product
(52)
Extension
(52)
106. Perpendicular distance from a point to a line
(21)
Extension
(21)
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Resources: 1 – 23 Total: 23
A hive of bees
Student activity
Play
A hive of bees
Whiteboard exercise
Play
Comparing graphs
Student activity
Play
Comparing graphs
Whiteboard exercise
Play
Example of exponential function
Animation
Play
Exponential function
Animation
Play
Exponential functions
Class activity
Play
Exponential functions
Whiteboard presentation
Play
Graph of an exponential function
Student activity
Play
Graph of exponential function
Whiteboard exercise
Play
Increasing or decreasing?
Whiteboard exercise
Play
Increasing or decreasing?
Student activity
Play
Miscellaneous problems
Student activity
Play
Monotonicity of exponential functions
Whiteboard exercise
Play
Population of bacteria
Whiteboard exercise
Play
Population of birds
Whiteboard exercise
Play
Population of wolves
Whiteboard exercise
Play
Stocked lake
Student activity
Play
Stocked lake
Whiteboard exercise
Play
Symmetrical graphs
Animation
Play
Transformations
Whiteboard exercise
Play
Transformations
Student activity
Play
Transformations of graphs of exponential functions
Whiteboard exercise
Play
Resources: 1 – 23 Total: 23
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