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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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Resources: 1 – 25 Total: 40
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Cartesian coordinate system of 3-dimensional space
Student activity
Play
Cartesian coordinate system of 3-dimensional space
Whiteboard exercise
Play
Cartesian coordinate system of the plane
Whiteboard exercise
Play
Cartesian coordinate system of the plane
Student activity
Play
Circle in the Cartesian coordinate system
Whiteboard exercise
Play
Coordinate system of the plane
Whiteboard exercise
Play
Coordinates
Class activity
Play
Coordinates
Whiteboard presentation
Play
Coordinates of points on the number line
Whiteboard exercise
Play
Coordinates of points on the number line
Student activity
Play
Coordinates of the vertices of the figures
Animation
Play
Figures in the Cartesian coordinate system
Student activity
Play
Figures in the Cartesian coordinate system
Whiteboard exercise
Play
Finding the polar coordinates of the points
Animation
Play
Half-planes in the Cartesian coordinate system
Whiteboard exercise
Play
Half-planes in the Cartesian coordinate system
Student activity
Play
Horizontal and vertical lines in the Cartesian coordinate system
Student activity
Play
Horizontal and vertical lines in the Cartesian coordinate system
Whiteboard exercise
Play
Houses on the bus road
Animation
Play
Length of pencils
Animation
Play
Numbers on the number line
Whiteboard exercise
Play
Planes in the 3-diamension space
Whiteboard exercise
Play
Planes in the Cartesian coordinate system of 3-dimensional space
Student activity
Play
Points and their positions
Whiteboard exercise
Play
Points in the Cartesian coordinate system
Whiteboard exercise
Play
Resources: 1 – 25 Total: 40
Pages:
1
2
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