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NCS Mapping
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I. Numbers
(450)
1. Integers
(44)
10.1.1;10.1.2c
(44)
2. Divisibility
(47)
10.1.1
(47)
3. Prime factor decomposition
(32)
10.1.1
(32)
4. Fractions
(31)
10.1.1
(31)
5. Operations on fractions
(36)
10.1.1
(36)
6. Decimals
(22)
10.1.1;10.1.2c
(22)
7. Decimals and fractions
(27)
10.1.1
(27)
8. General division
(23)
10.1.1
(23)
9. Powers and roots
(42)
10.1.2a;10.1.2c;11.1.2a;11.1.2b
(42)
10. Standard index form
(39)
10.1.2a
(39)
11. Use of a calculator
(43)
10.1.1
(43)
12. Powers. roots and indices
(32)
10.1.2
(32)
13. Irrational numbers
(32)
10.1.2;11.1.2b
(32)
II. Geometry and transformations
(360)
14. Triangles
(35)
10.3.2
(35)
15. Congruence of triangles
(23)
10.3.2
(23)
16. Quadrilaterals and their properties
(40)
10.3.2
(40)
17. Polygons and regular polygons
(48)
10.3.2
(48)
18. Coordinates
(40)
10.3.3
(40)
19. Symmetry
(41)
10.3.4;11.3.4
(41)
20. Translations. reflections, rotations
(40)
10.3.4;11.3.4
(40)
21. Enlargements
(33)
11.3.4
(33)
22. Similarity
(34)
10.3.1;10.3.2
(34)
23. Similarity – solving problems
(26)
10.3.1;10.3.2
(26)
III. Algebraic expressions
(172)
24. Algebraic expressions
(27)
10.2.4
(27)
25. Multiplying out the brackets
(33)
10.2.4
(33)
26. Multiplication formulas
(33)
10.2.4
(33)
27. Factorisation (by grouping)
(33)
10.2.4
(33)
28. Factorisation (other methods)
(24)
10.2.4
(24)
29. More factorisation
(22)
10.2.4
(22)
IV. Algebraic fractions
(102)
30. Solving equations involving algebraic fractions
(28)
10.2.5
(28)
31. Changing the subject of the formula
(25)
10.2.5
(25)
32. Inequalities
(49)
10.2.5
(49)
V. Reasoning
(121)
33. Mathematical statements
(30)
10.3.2
(30)
34. Deductive reasoning
(20)
10.3.2
(20)
35. Understanding the theorem
(21)
10.3.2;10.2.6
(21)
36. Problem solving
(27)
10.3.2;10.2.6
(27)
37. Problem assumptions
(23)
10.3.2;10.2.6
(23)
VI. Sets
(30)
38. Sets
(30)
10.4.2
(30)
VII. Handling Data
(335)
39. Problem specification
(35)
10.4.5
(35)
40. Sampling
(36)
12.4.1
(36)
41. Representing data
(54)
10.4.1
(54)
42. Measures of central tendency – the arithmetic mean
(36)
10.4.1
(36)
43. Measures of central tendency – the mode. the median
(35)
10.4.1
(35)
44. Measures of variability
(45)
10.4.1;11.4.1
(45)
45. Cumulative frequency curve
(21)
11.4.1
(21)
46. Skewness
(28)
11.4.4
(28)
47. Case study
(45)
11.4.1
(45)
VIII. Geometry – Pythagorean theorem
(155)
48. Pythagorean theorem
(33)
10.3.2;10.3.3
(33)
49. Application of the Pythagorean theorem in 2-D
(36)
10.3.3;10.3.2
(36)
50. Application of the Pythagorean theorem in 3-D
(33)
11.3.1
(33)
51. Ruler-and-compass constructions. locus
(53)
Extension
(53)
IX. The circle
(228)
52. The circle
(29)
12.3.2
(29)
53. Circle theorems
(33)
12.3.2
(33)
54. Inscribed and central angles
(36)
12.3.2
(36)
55. Equation of a circle
(26)
12.3.2
(26)
56. Mutual position of two circles
(24)
12.3.2
(24)
57. Mutual position of a line and a circle
(24)
12.3.2
(24)
58. Circles inscribed and circumscribed
(36)
12.3.2
(36)
59. Solving problems involving circles
(20)
12.3.2
(20)
X. Percentages
(85)
60. Percentages
(30)
10.1.4
(30)
61. Solving problems involving percentages
(25)
10.1.4
(25)
62. Repeated percentage change
(30)
10.1.4
(30)
XI. Sequences
(55)
63. Looking for the pattern
(32)
10.1.3
(32)
64. Finding the nth term of a sequence
(23)
10.1.3
(23)
XII. Ratio and proportion
(132)
65. Ratios
(23)
Extension
(23)
66. Proportions
(26)
10.2.5
(26)
67. Direct proportion
(30)
10.2.6
(30)
68. Inverse proportion
(26)
10.2.6;10.2.7
(26)
69. Rates of change
(27)
10.2.7
(27)
XIII. Trigonometry
(287)
70. Trigonometric ratios in a right-angled triangle
(41)
10.3.5;10.3.6;11.3.5
(41)
71. Solving problems involving trigonometric ratios
(26)
10.3.6
(26)
72. Trigonometry of a general angle
(25)
10.3.6
(25)
73. Properties of trigonometric functions of a general angle
(43)
10.3.6
(43)
74. Graphs of trigonometric functions
(23)
10.2.2
(23)
75. Use of a calculator
(21)
10.3.6
(21)
76. Trigonometric equations
(42)
11.3.6
(42)
77. The sine formula for the area of a triangle
(21)
11.3.6
(21)
78. Solving problems involving trigonometric equations
(18)
10.3.6
(18)
79. Pythagorean theorem and trigonometry in 3-D
(27)
12.3.6
(27)
XIV. Probability
(308)
80. Random processes
(45)
10.4.2;11.4.2
(45)
81. Counting problems
(52)
10.4.2;11.4.2
(52)
82. Classical concept of probability
(60)
10.4.2;11.4.2
(60)
83. The set of possible outcomes
(44)
10.4.2;11.4.2
(44)
84. Mutually exclusive events
(22)
10.4.2;11.4.2
(22)
85. Independent events
(43)
10.4.2;11.4.2
(43)
86. Solving simple problems in probability
(42)
10.4.2;11.4.2
(42)
XV. Graphs of different functions
(155)
87. A function and its graph
(21)
10.2.1
(21)
88. Equation of a straight line
(23)
10.2.2;10.2.1
(23)
89. Linear function
(26)
10.2.2;10.2.1
(26)
90. Quadratic function
(42)
10.2.2;10.2.1
(42)
91. Other functions
(21)
10.2.2;10.2.1
(21)
92. Graphs and real-life situations
(22)
10.2.6
(22)
XVI. Measures on the plane and in space
(235)
93. Measuring
(50)
10.3.1
(50)
94. Areas of plane shapes
(47)
10.3.1
(47)
95. Volume and surface area of prisms
(28)
10.3.1
(28)
96. Volume and surface area of pyramids
(30)
11.3.1
(30)
97. Volume and surface area of cylinders and spheres
(29)
11.3.1
(29)
98. Volume and surface area of cones
(28)
11.3.1
(28)
99. Volumes of similar solids
(23)
10.3.1
(23)
XVII. Solving equations
(230)
100. Linear equations. solving linear equations
(22)
10.2.5
(22)
101. Solving simultaneous linear equations
(46)
10.2.5
(46)
102. Solving problems involving simultaneous equations
(23)
10.2.5
(23)
103. Solving quadratic equations
(24)
10.2.5
(24)
104. The quadratic formula
(22)
11.2.5
(22)
105. Solving problems involving quadratic equations
(52)
10.2.5;10.2.6
(52)
106. Solving equations by trial and error
(41)
10.2.5
(41)
XVIII. Vectors
(93)
107. Vectors
(22)
Extension
(22)
108. Operations on vectors
(23)
Extension
(23)
109. Scalar multiple
(23)
Extension
(23)
110. Applications of vectors
(25)
Extension
(25)
XIX. Correlation and regression
(116)
111. Sampling techniques
(23)
12.4.1
(23)
112. Regression line
(27)
12.4.1
(27)
113. Correlation
(19)
12.4.1
(19)
114. Analysing and comparing sets of data
(23)
12.4.1
(23)
115. Using probability to analyse random events
(24)
12.4.1
(24)
XX. Transformations of graphs
(168)
116. Transforming graphs of various functions
(20)
Extension
(20)
117. Transforming graphs of trigonometric functions
(44)
10.2.2
(44)
118. Using graphs
(44)
10.2.3
(44)
119. Graphs of simple loci
(19)
10.2.3
(19)
120. Area under a curve
(22)
12.2.7
(22)
121. Tangents to graphs
(19)
12.2.7
(19)
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Resources: 1 – 25 Total: 155
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A function
Student activity
Play
A function and its graph
Whiteboard presentation
Play
A function and its graph
Class activity
Play
A rainfall model
ws
Play
A rainfall model
Student activity
Play
Algebraic solution
Animation
Play
Applications of linear models
Student activity
Play
Applications of linear models
Whiteboard exercise
Play
Basket game
Game
Play
Capacity of a car's fuel tank
Animation
Play
Coefficient of x squared
Whiteboard exercise
Play
Comparing parabolas
ws
Play
Constructing the simplest mathematical model
Whiteboard exercise
Play
Cubic function and other functions
ws
Play
Direct proportionality models
Student activity
Play
Direct proportionality models
Whiteboard exercise
Play
Distance of a ship from its base
Animation
Play
Equation of a straight line
Whiteboard exercise
Play
Equation of a straight line
Class activity
Play
Equation of a straight line
Whiteboard presentation
Play
Equation of a straight line
Whiteboard exercise
Play
Equation of a straight line
Student activity
Play
Examples of functions
Animation
Play
Examples of functions with dense domain
Animation
Play
Fence off a plot
Animation
Play
Resources: 1 – 25 Total: 155
Pages:
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