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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 – 25 Total: 45
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Example of a quadratic function
Animation
Play
Finding a parabola
Animation
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Finding a parabola
Simulation
Play
Finding a parabola
Animation
Play
Finding a parabola
Simulation
Play
Free fall in vacuum
Whiteboard exercise
Play
Free fall in vacuum
Student activity
Play
Geometric construction of a parabola
Animation
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Quadratic functions in the factorised form
Whiteboard exercise
Play
Quadratic functions in the factorised form
Animation
Play
Quadratic functions in the factorised form
Whiteboard exercise
Play
Quadratic functions in the factorised form
Student activity
Play
Quadratic functions in the factorised form
Student activity
Play
Quadratic functions in the factorised form
Animation
Play
Quadratic functions in the factorised form
Whiteboard exercise
Play
Quadratic functions, graphs
Class activity
Play
Quadratic functions, graphs
Whiteboard presentation
Play
The functions y = x 2 and y = –x 2
Student activity
Play
The functions y = a(x – p)2
Student activity
Play
The functions y = a(x – p)2 + q
Student activity
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The functions y = ax 2 + q
Student activity
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The functions y = ax 2
Student activity
Play
The general form of a quadratic function
Student activity
Play
The general form of a quadratic function
Simulation
Play
The general form of a quadratic function
Whiteboard exercise
Play
Resources: 1 – 25 Total: 45
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