# Level 3: S2 Mathematics – Scotland

### Scotland Level 3: S2 Mathematics

# | TOPIC | TITLE |
---|---|---|

1 | Initial Assessment | Initial Assessment |

2 | Number and place value | Addition to 9999 and beyond |

3 | Addition and subtraction | Subtraction involving four digit numbers and beyond usi… |

4 | Multiplication and division | Multiplying 2-digit numbers by 2-digit numbers |

5 | Multiplication and division | Multiplying 4-digit numbers by 3-digit numbers |

6 | Multiplication and division | Multiplying 4-digit numbers by 4-digit number |

7 | Multiplication and division | Repeated subtraction with divisors greater than 20 with… |

8 | Multiplication and division | Repeated subtraction with divisors less than 35 with so… |

9 | Multiplication and division | Repeated subtraction with divisors less than 55 with di… |

10 | Multiplication and division | Repeated subtraction with divisors greater than 50 with… |

11 | Multiplication and division | Multiples and factors of whole numbers |

12 | Multiples and factors | Highest common factor. |

13 | Multiples and factors | Factors by grouping. |

14 | Fractions | Comparing and ordering fractions |

15 | Fractions | mixed numbers (mixed numerals) |

16 | Fractions | Improper fractions |

17 | Fractions | Reducing fractions to lowest equivalent form |

18 | Fractions | Comparing and ordering fractions greater than (>) 1 |

19 | Fractions | Subtracting fractions from whole numbers |

20 | Fractions | Adding and subtracting fractions with the same denomina… |

21 | Fractions | Adding and subtracting fractions with different denomin… |

22 | Fractions | Multiplying fractions by whole numbers |

23 | Fractions | Fractions of whole numbers |

24 | Fractions | Multiplying fractions |

25 | Fractions | Multiplying mixed numbers (mixed numerals) |

26 | Fractions | Finding reciprocals of fractions and mixed numbers (mix… |

27 | Fractions | Dividing fractions |

28 | Fractions | Dividing mixed numbers (mixed numerals) |

29 | Percentages | Calculating Percentages and Fractions of Quantities |

30 | Percentages | Introduction to percentages, including relating common … |

31 | Percentages | Changing fractions and decimals to percentages using te… |

32 | Percentages | Changing percentages to fractions and decimals |

33 | Percentages | One quantity as a percentage of another |

34 | Decimals | Adding decimals with a different number of decimal plac… |

35 | Decimals | Subtracting decimals with a different number of places |

36 | Decimals | Multiplying decimals by whole numbers |

37 | Decimals | Multiplication of decimals by decimals to two decimal p… |

38 | Decimals | Dividing decimal fractions by whole numbers |

39 | Decimals | Dividing numbers by a decimal fraction |

40 | Problem solving | Introducing the rules for finding the area of a rectang… |

41 | Problem solving | Finding the area of a triangle and other composite shap… |

42 | Problem solving | Larger areas: square metre, hectare, square kilometre. |

43 | Problem solving | Comparing and ordering areas. |

44 | Problem solving | Area of a trapezium. |

45 | Problem solving | Area of a rhombus. |

46 | Problem solving | Area of a circle. |

47 | Volume | Introducing the formula for volume. |

48 | Volume | Using the cubic metre to measure volume. |

49 | Volume | Solving Problems about Volume – Part 1. |

50 | Volume | Solving Problems about Volume – Part 2. |

51 | Volume | Finding the volume of prisms |

52 | Surface area | Surface area of a cube/rectangular prism. |

53 | Surface area | Surface area of a triangular/trapezoidal prism. |

54 | Angles | Measure and classify angles |

55 | Angles | Measuring angles |

56 | Angles | Adjacent angles |

57 | Angles | Complementary and supplementary angles |

58 | Angles | Vertically opposite angles |

59 | Angles | Angles at a Point. |

60 | Angles | Parallel Lines. |

61 | Angles | Additional questions involving parallel lines |

62 | Angles | Angle sum of a triangle |

63 | Angles | Exterior angle theorem |

64 | Angles | To determine angle labelling rules, naming angles accor… |

65 | Angles | More difficult exercises involving parallel lines |

66 | Series and sequences | Further difficult exercises involving formal reasoning |

67 | Angles | Angles of regular polygons |

68 | Angles | Complementary angle results. |

69 | Angles | Bearings – the compass. |

70 | Triangles | Recognise and name triangles |

71 | Construction | Geometric constructions |

72 | Construction | To identify collinear points, coplanar lines and points… |

73 | Construction | Angle bisector construction and its properties (Stage 2… |

74 | Construction | Circumcentre and incentre (Stage 2) |

75 | Construction | Orthocentre and centroids (Stage 2) |

76 | Construction | Constructions and loci – single condition |

77 | Construction | Constructions and loci – multiple conditions |

78 | Transformations | Use grids to enlarge/reduce 2D shapes |

79 | Transformations | Transformations – reflections |

80 | Transformations | Geometry transformations without matrices: reflection (… |

81 | Transformations | Geometry transformations without matrices: translation … |

82 | Transformations | Geometry transformations without matrices: rotation (St… |

83 | Transformations | Geometry transformations without matrices: dilation or … |

84 | Transformations | The definition and concept of combined transformations … |

85 | Bidmas | Using Order of Operation procedures (BIDMAS) with Fract… |

86 | Bidmas | Transformations that produce equivalent equations |

87 | Indices | Adding indices when multiplying terms with the same bas… |

88 | Indices | Subtracting indices when dividing terms with the same b… |

89 | Indices | Multiplying indices when raising a power to a power |

90 | Simplifying | Algebraic expressions. |

91 | Simplifying | Substitution into algebraic expressions. |

92 | Formulae | Equations resulting from substitution into formulae. |

93 | Simplifying | Simplifying algebraic expressions: adding like terms. |

94 | Simplifying | Simplifying algebraic Expressions: subtracting like ter… |

95 | Simplifying | Simplifying Algebraic expressions: combining addition a… |

96 | Simplifying | Simplifying algebraic expressions: multiplication |

97 | Simplifying | Simplifying algebraic expressions: division |

98 | Simplifying | Expanding algebraic expressions: multiplication |

99 | Simplifying | Expanding algebraic expressions: negative multiplier |

100 | Simplifying | Expanding and simplifying algebraic expressions |

101 | Equations | Solving equations containing addition and subtraction |

102 | Equations | Solving equations containing multiplication and divisio… |

103 | Equations | Solving two step equations |

104 | Equations | Solving equations containing binomial expressions |

105 | Equations | Equations involving grouping symbols. |

106 | Equations | Equations involving fractions. |

107 | Formulae | Changing the subject of the formula. |

108 | Series and sequences | General sequences. |

109 | Series and sequences | Finding Tn given Sn. |

110 | Scatter diagrams | The range. |

111 | Probability | The mode |

112 | Probability | The mean |

113 | Probability | The median |

114 | Probability | Calculating the median from a frequency distribution |

115 | Averages | Calculating mean, mode and median from grouped data |

116 | Scatter diagrams | Stem and Leaf Plots along with Box and Whisker Plots |

117 | Pie charts | Bar Charts |

118 | Pie charts | Line graphs. |

119 | Pie charts | Pie and bar graphs. |

120 | Scatter diagrams | Scatter Diagrams |

121 | Scatter diagrams | Frequency distribution table |

122 | Scatter diagrams | Relative frequency |

123 | Probability | Probability of Simple Events |

124 | Probability | Rolling a pair of dice |

125 | Probability | Experimental probability |

126 | End of Course Assessment | End of Course Assessment |