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NCS Mapping
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I. Numbers
(418)
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)
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
(231)
39. Problem specification
(35)
10.4.5
(35)
40. Sampling
(36)
12.4.1
(36)
41. Representing data
(54)
10.4.1
(54)
43. Measures of central tendency – the mode. the median
(35)
10.4.1
(35)
44. Measures of variability
(23)
10.4.1;11.4.1
(23)
46. Skewness
(28)
11.4.4
(28)
47. Case study
(20)
11.4.1
(20)
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
(32)
63. Looking for the pattern
(32)
10.1.3
(32)
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
(237)
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)
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)
XIV. Probability
(184)
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
(22)
10.4.2;11.4.2
(22)
84. Mutually exclusive events
(22)
10.4.2;11.4.2
(22)
85. Independent events
(43)
10.4.2;11.4.2
(43)
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
(155)
100. Linear equations. solving linear equations
(22)
10.2.5
(22)
101. Solving simultaneous linear equations
(23)
10.2.5
(23)
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)
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
(148)
116. Transforming graphs of various functions
(20)
Extension
(20)
117. Transforming graphs of trigonometric functions
(44)
10.2.2
(44)
118. Using graphs
(24)
10.2.3
(24)
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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Class activity (1)
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Resources: 1 – 25 Total: 30
Pages:
1
2
A new price
Student activity
Play
A new price
Whiteboard exercise
Play
Accumulated amount
Whiteboard exercise
Play
Amount on the savings account
Animation
Play
Annual percentage rate
Student activity
Play
Annual percentage rate (APR)
Whiteboard exercise
Play
Constant inflation
Whiteboard exercise
Play
Effective rate
Student activity
Play
Effective rate
Whiteboard exercise
Play
Inflation
Whiteboard exercise
Play
Inflation
Student activity
Play
Nominal and effective rates
Animation
Play
Paying back a loan
Whiteboard exercise
Play
Paying back a loan
Student activity
Play
Population
Whiteboard exercise
Play
Population
Student activity
Play
Population of butterflies
Animation
Play
Prices
Whiteboard exercise
Play
Prices
Student activity
Play
Reduction of price
Whiteboard exercise
Play
Repeated percentage change
Class activity
Play
Repeated percentage change
Whiteboard presentation
Play
Rise
Animation
Play
The account
Whiteboard exercise
Play
The bank
Whiteboard exercise
Play
Resources: 1 – 25 Total: 30
Pages:
1
2
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