# Level 3: S1 Mathematics – Scotland

### Scotland Level 3: S1 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 | Simplifying | Directed numbers: addition and subtraction. |

12 | Simplifying | Directed numbers: multiplication and division. |

13 | Decimals | Comparing and ordering decimals to two decimal places |

14 | Decimals | Adding decimals to two decimal places |

15 | Decimals | Subtracting decimals to two decimal places |

16 | Decimals | Using decimals – shopping problems |

17 | Decimals | Rounding decimals |

18 | Decimals | Decimals to three decimal places |

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

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

21 | Decimals | Multiplying decimals by whole numbers |

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

23 | Decimals | Dividing decimal fractions by whole numbers |

24 | Decimals | Dividing numbers by a decimal fraction |

25 | Fractions | Using fractions 1/2, 1/4, 1/8 to describe part of a who… |

26 | Fractions | Using fractions 1/2, 1/4, 1/8 to describe parts of a gr… |

27 | Fractions | Comparing and ordering fractions |

28 | Fractions | mixed numbers (mixed numerals) |

29 | Fractions | Improper fractions |

30 | Fractions | Fractions 1/5, 1/10, 1/100 |

31 | Fractions | Finding equivalent fractions |

32 | Fractions | Multiplying and dividing to obtain equivalent fractions |

33 | Fractions | Reducing fractions to lowest equivalent form |

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

35 | Fractions | Subtracting fractions from whole numbers |

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

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

38 | Fractions | Multiplying fractions by whole numbers |

39 | Fractions | Fractions of whole numbers |

40 | Percentages | Calculating Percentages and Fractions of Quantities |

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

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

43 | Percentages | Changing percentages to fractions and decimals |

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

45 | Multiples and factors | Highest common factor. |

46 | Multiples and factors | Factors by grouping. |

47 | Problem solving | Compare and convert formal units of measurement |

48 | Problem solving | Read and calculate distances on a map using the formal … |

49 | Coordinates | Describing position. |

50 | Problem solving | Introduction to the square centimetre. |

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

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

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

54 | Problem solving | Comparing and ordering areas. |

55 | Problem solving | Area of a trapezium. |

56 | Volume | Introduction to volume. using the cubic centimetre as a… |

57 | Volume | Using the cubic centimetre to measure volume. |

58 | Volume | Introducing the formula for volume. |

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

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

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

62 | Angles | Measure and classify angles |

63 | Angles | Measuring angles |

64 | Angles | Adjacent angles |

65 | Angles | Complementary and supplementary angles |

66 | Angles | Vertically opposite angles |

67 | Angles | Angles at a Point. |

68 | Angles | Parallel Lines. |

69 | Angles | Additional questions involving parallel lines |

70 | Angles | Angle sum of a triangle |

71 | Triangles | Recognise and name triangles |

72 | Quadrilaterals | Quadrilaterals |

73 | Quadrilaterals | Classifying Quadrilaterals |

74 | Quadrilaterals | Using the Properties of a Parallelogram |

75 | Quadrilaterals | Proving a Shape is a Parallelogram |

76 | Quadrilaterals | Properties of the Rectangle, Square and Rhombus |

77 | Quadrilaterals | Properties of the Trapezium and Kite |

78 | Quadrilaterals | The quadrilateral family and coordinate methods in geom… |

79 | Angles | Bearings – the compass. |

80 | Construction | Geometric constructions |

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

82 | Transformations | Transformations – reflections |

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

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

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

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

87 | Triangles | Congruent triangles, Test 1 and 2 |

88 | Triangles | Congruent triangles, Test 3 and 4 |

89 | Triangles | Using the prefix to determine polygons |

90 | 3D shapes | Recognise and name prisms according to spatial properti… |

91 | 3D shapes | Recognise and name pyramids according to spatial proper… |

92 | 3D shapes | Recognise nets for prisms, pyramids, cubes and cones |

93 | 3D shapes | Viewing 3-D shapes. |

94 | 3D shapes | Constructing models. |

95 | Series and sequences | General sequences. |

96 | Simplifying | Algebraic expressions. |

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

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

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

100 | Simplifying | Simplifying algebraic expressions: multiplication |

101 | Simplifying | Simplifying algebraic expressions: division |

102 | Simplifying | Expanding algebraic expressions: multiplication |

103 | Simplifying | Expanding algebraic expressions: negative multiplier |

104 | Simplifying | Expanding and simplifying algebraic expressions |

105 | Simplifying | Substitution into algebraic expressions. |

106 | Equations | Solving equations containing addition and subtraction |

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

108 | Equations | Solving two step equations |

109 | Scatter diagrams | The range. |

110 | Probability | The mode |

111 | Probability | The mean |

112 | Probability | The median |

113 | Pie charts | Bar Charts |

114 | Pie charts | Line graphs. |

115 | Scatter diagrams | Scatter Diagrams |

116 | Scatter diagrams | Frequency distribution table |

117 | Scatter diagrams | Relative frequency |

118 | Probability | Probability of Simple Events |

119 | Probability | Rolling a pair of dice |

120 | End of Course Assessment | End of Course Assessment |