# National 4 Mathematics – Scotland

### Scotland National 4 Mathematics

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

1 | Initial Assessment | Initial Assessment |

2 | Multiplication and division | Multiplication by 2 and 3 digits |

3 | Multiplication and division | Multiplying 2-digit numbers by multiple of 10 |

4 | Multiplication and division | Multiplying 3 and 4-digit numbers by multiples of 100 |

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

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

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

8 | Decimals | Multiplying decimals by 10, 100 and 1000 |

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

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

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

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

13 | Multiplication and division | Using divide, multiply and subtraction in the bring dow… |

14 | Decimals | Dividing decimals by 10, 100 and 1000 |

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

16 | Simplifying | Directed numbers: addition and subtraction. |

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

18 | Decimals | Adding decimals to two decimal places |

19 | Decimals | Subtracting decimals to two decimal places |

20 | Decimals | Using decimals – shopping problems |

21 | Decimals | Rounding decimals |

22 | Decimals | Decimals to three decimal places |

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

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

25 | Decimals | Multiplying decimals by whole numbers |

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

27 | Decimals | Dividing decimal fractions by whole numbers |

28 | Decimals | Dividing numbers by a decimal fraction |

29 | Fractions | Comparing and ordering fractions |

30 | Fractions | mixed numbers (mixed numerals) |

31 | Fractions | Improper fractions |

32 | Fractions | Finding equivalent fractions |

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

34 | Fractions | Reducing fractions to lowest equivalent form |

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

36 | Fractions | Subtracting fractions from whole numbers |

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

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

39 | Fractions | Multiplying fractions by whole numbers |

40 | Fractions | Fractions of whole numbers |

41 | Fractions | Multiplying fractions |

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

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

44 | Fractions | Dividing fractions |

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

46 | Problem solving | Problems with numbers. |

47 | Problem solving | Problems involving money |

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

49 | Multiples and factors | Highest common factor. |

50 | Multiples and factors | Factors by grouping. |

51 | Percentages | Calculating Percentages and Fractions of Quantities |

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

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

54 | Percentages | Changing percentages to fractions and decimals |

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

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

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

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

59 | Indices | Multiplying indices when raising to more than one term |

60 | Indices | Terms raised to the power of zero |

61 | Time | 24 hour time |

62 | Time | Time zones |

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

64 | Coordinates | Describing position. |

65 | Coordinates | Mapping and grid references |

66 | Coordinates | Main and intermediate compass points |

67 | Problem solving | Using the metre as a formal unit to measure perimeter |

68 | Problem solving | Using the formal unit of the centimetre to measure leng… |

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

70 | Mass | The kilogram |

71 | Mass | The gram and net mass |

72 | Mass | The tonne – converting units and problems |

73 | Capacity | Converting between volume and capacity using millilitre… |

74 | Capacity | Using the cubic cm and displacement to measure volume a… |

75 | Capacity | The relationship between the common units of capacity, … |

76 | Capacity | Converting between volume and capacity using kilolitres… |

77 | Capacity | Estimate, measure and compare the capacity of container… |

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

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

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

81 | Problem solving | Comparing and ordering areas. |

82 | Problem solving | Area of a trapezium. |

83 | Problem solving | Area of a rhombus. |

84 | Problem solving | Area of a circle. |

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

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

87 | Volume | Introducing the formula for volume. |

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

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

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

91 | Volume | Finding the volume of prisms |

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

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

94 | Problem solving | Problems with length. |

95 | Problem solving | Problems with mass. |

96 | Problem solving | Problems with area. |

97 | Problem solving | Problems with volume/capacity. |

98 | Triangles | Using the prefix to determine polygons |

99 | 3D shapes | Recognise and name prisms according to spatial properti… |

100 | 3D shapes | Recognise and name pyramids according to spatial proper… |

101 | 3D shapes | Recognise nets for prisms, pyramids, cubes and cones |

102 | 3D shapes | Viewing 3-D shapes. |

103 | 3D shapes | Constructing models. |

104 | Angles | Measure and classify angles |

105 | Angles | Measuring angles |

106 | Angles | Adjacent angles |

107 | Angles | Complementary and supplementary angles |

108 | Angles | Vertically opposite angles |

109 | Angles | Angles at a Point. |

110 | Angles | Parallel Lines. |

111 | Angles | Additional questions involving parallel lines |

112 | Angles | Angle sum of a triangle |

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

114 | Angles | Exterior angle theorem |

115 | Angles | More difficult exercises involving parallel lines |

116 | Angles | Angles of regular polygons |

117 | Angles | Complementary angle results. |

118 | Angles | Bearings – the compass. |

119 | Construction | Geometric constructions |

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

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

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

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

124 | Construction | Constructions and loci – single condition |

125 | Construction | Constructions and loci – multiple conditions |

126 | Triangles | Recognise and name triangles |

127 | Similar shapes | Similar triangles |

128 | Similar shapes | Using similar triangles to calculate lengths |

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

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

131 | Triangles | Spatial properties of quadrilaterals |

132 | Quadrilaterals | Quadrilaterals |

133 | Quadrilaterals | Classifying Quadrilaterals |

134 | Quadrilaterals | Using the Properties of a Parallelogram |

135 | Quadrilaterals | Proving a Shape is a Parallelogram |

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

137 | Quadrilaterals | Properties of the Trapezium and Kite |

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

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

140 | Transformations | Special transformations – reflections, rotations and en… |

141 | Transformations | Transformations – reflections |

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

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

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

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

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

147 | Pythagoras | Find the hypotenuse |

148 | Pythagoras | Pythagorean triples |

149 | Pythagoras | Find the hypotenuse Part 2 |

150 | Pythagoras | Calculating a leg of a right-angled triangle |

151 | Trigonometry | Trigonometric ratios. |

152 | Trigonometry | Using the calculator. |

153 | Trigonometry | Using the trigonometric ratios to find unknown length. … |

154 | Trigonometry | Using the trigonometric ratios to find unknown length. … |

155 | Trigonometry | Using the trigonometric ratios to find unknown length. … |

156 | Trigonometry | Unknown in the denominator. [Case 4]. |

157 | Series and sequences | General sequences. |

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

159 | Simplifying | Algebraic expressions. |

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

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

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

163 | Simplifying | Simplifying algebraic expressions: multiplication |

164 | Simplifying | Simplifying algebraic expressions: division |

165 | Simplifying | Expanding algebraic expressions: multiplication |

166 | Simplifying | Expanding algebraic expressions: negative multiplier |

167 | Simplifying | Expanding and simplifying algebraic expressions |

168 | Simplifying | Simplifying algebraic fractions using the index laws. |

169 | Equations | Solving equations containing addition and subtraction |

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

171 | Equations | Solving two step equations |

172 | Equations | Solving equations containing binomial expressions |

173 | Equations | Equations involving grouping symbols. |

174 | Factorising | Expansions leading to the difference of two squares |

175 | Factorising | Common factor and the difference of two squares |

176 | Factorising | Factorising quadratic trinomials [monic] – Case 2. |

177 | Factorising | Factorising quadratic trinomials [monic] – Case 3. |

178 | Factorising | Factorising quadratic trinomials [monic] – Case 4. |

179 | Simplifying | Substitution into algebraic expressions. |

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

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

182 | Inequalities | Solving Inequalities. |

183 | Inequalities | Inequalities on the number plane. |

184 | Scatter diagrams | The range. |

185 | Probability | The mode |

186 | Probability | The mean |

187 | Probability | The median |

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

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

190 | Pie charts | Bar Charts |

191 | Pie charts | Line graphs. |

192 | Pie charts | Pictographs |

193 | Pie charts | Pie and bar graphs. |

194 | Scatter diagrams | Scatter Diagrams |

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

196 | Scatter diagrams | Frequency distribution table |

197 | Scatter diagrams | Relative frequency |

198 | Probability | Probability of Simple Events |

199 | Probability | Rolling a pair of dice |

200 | Probability | Experimental probability |

201 | Probability | Tree diagrams – not depending on previous outcomes |

202 | Probability | Tree diagrams – depending on previous outcomes |

203 | End of Course Assessment | End of Course Assessment |