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KS4 – Higher Mathematics

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1 Multiplying 4-digit numbers by 3-digit numbers Multiplication and division

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Current lesson
2 Multiplying 4-digit numbers by 4-digit number Multiplication and division

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To be done
3 Multiplying decimals by 10, 100 and 1000 Decimals

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To be done
4 Repeated subtraction with divisors greater than 20 with… Multiplication and division

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To be done
5 Repeated subtraction with divisors less than 35 with so… Multiplication and division

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To be done
6 Repeated subtraction with divisors less than 55 with di… Multiplication and division

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To be done
7 Repeated subtraction with divisors greater than 50 with… Multiplication and division

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To be done
8 Using divide, multiply and subtraction in the bring dow… Multiplication and division

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To be done
9 Dividing decimals by 10, 100 and 1000 Decimals

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To be done
10 Directed numbers: addition and subtraction. Simplifying

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To be done
11 Directed numbers: multiplication and division. Simplifying

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To be done
12 Using Order of Operation procedures (BIDMAS) with Fract… Bidmas

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13 Multiples and factors of whole numbers Multiplication and division

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14 Highest common factor. Multiples and factors

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15 Factors by grouping. Multiples and factors

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To be done
16 Rounding decimals Decimals

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17 Decimals to three decimal places Decimals

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To be done
18 Adding decimals with a different number of decimal plac… Decimals

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To be done
19 Subtracting decimals with a different number of places Decimals

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To be done
20 Multiplying decimals by whole numbers Decimals

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To be done
21 Multiplication of decimals by decimals to two decimal p… Decimals

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To be done
22 Dividing decimal fractions by whole numbers Decimals

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To be done
23 Dividing numbers by a decimal fraction Decimals

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To be done
24 Adding and subtracting fractions with different denomin… Fractions

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To be done
25 Multiplying fractions by whole numbers Fractions

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To be done
26 Fractions of whole numbers Fractions

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27 Multiplying fractions Fractions

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28 Multiplying mixed numbers (mixed numerals) Fractions

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29 Finding reciprocals of fractions and mixed numbers (mix… Fractions

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30 Dividing fractions Fractions

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31 Dividing mixed numbers (mixed numerals) Fractions

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32 Adding indices when multiplying terms with the same bas… Indices

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To be done
33 Subtracting indices when dividing terms with the same b… Indices

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34 Multiplying indices when raising a power to a power Indices

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To be done
35 Multiplying indices when raising to more than one term Indices

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To be done
36 Terms raised to the power of zero Indices

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To be done
37 Negative Indices Indices

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38 Fractional indices Indices

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39 Complex fractions as indices Indices

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40 Calculating Percentages and Fractions of Quantities Percentages

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41 Introduction to percentages, including converting fract… Percentages

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42 Changing fractions and decimals to percentages using te… Percentages

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43 Changing percentages to fractions and decimals Percentages

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44 One quantity as a percentage of another Percentages

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45 Compound interest Percentages

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46 Significant figures Approximation

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To be done
47 Average speed Speed

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48 Scientific notation with larger numbers Standard form

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To be done
49 Scientific notation with small numbers Standard form

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50 Changing scientific notation to numerals Standard form

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51 Number sets and their members Sets

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52 Properties of real numbers using addition and multiplic… Real numbers

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53 Introducing surds Surds

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54 Some rules for the operations with surds Surds

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55 Simplifying surds Surds

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56 Creating entire surds Surds

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57 Adding and subtracting like surds Surds

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58 Expanding surds Surds

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59 Conjugate binomials with surds Surds

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60 Rationalising the denominator Surds

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61 Rationalising binomial denominators Surds

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62 Compare and convert formal units of measurement Problem solving

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63 Estimate, measure and compare the capacity of container… Capacity

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64 Areas of rectangles and parallelograms Problem solving

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

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66 Area of a trapezium. Problem solving

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67 Area of a rhombus. Problem solving

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68 Area of a circle. Problem solving

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69 Area of regular polygons and composite figures. Problem solving

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70 Surface area of a cube/rectangular prism. Surface area

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71 Surface area of a triangular/trapezoidal prism. Surface area

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72 Surface area of a cylinder and sphere. Surface area

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73 Surface area of pyramids Surface area

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74 Surface area of cones Surface area

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75 Surface area of composite solids Surface area

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76 Introducing the formula for volume. Volume

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77 Using the cubic metre to measure volume. Volume

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78 Solving Problems about Volume – Part 1. Volume

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79 Solving Problems about Volume – Part 2. Volume

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80 Finding the volume of prisms Volume

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81 Volume of a cylinder and sphere. Volume

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82 Volume of pyramids and cones. Volume

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83 Composite solids. Volume

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84 Problems with length. Problem solving

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85 Problems with mass. Problem solving

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86 Problems with area. Problem solving

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87 Problems with volume/capacity. Problem solving

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88 Using the prefix to determine polygons Triangles

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

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

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

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92 Viewing 3-D shapes. 3D shapes

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93 Constructing models. 3D shapes

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94 Adjacent angles Angles

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95 Complementary and supplementary angles Angles

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96 Vertically opposite angles Angles

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97 Angles at a Point. Angles

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98 Parallel Lines. Angles

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99 Additional questions involving parallel lines Angles

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100 Angle sum of a triangle Angles

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101 Exterior angle theorem Angles

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102 To determine angle labelling rules, naming angles accor… Angles

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103 More difficult exercises involving parallel lines Angles

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104 Further difficult exercises involving formal reasoning Series and sequences

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105 Angles of regular polygons Angles

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106 Complementary angle results. Angles

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107 Bearings – the compass. Angles

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108 Theorem – Equal arcs on circles of equal radii subtend … Angles

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109 Theorem – The perpendicular from the centre of a circle… Angles

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110 Theorem – Equal chords in equal circles are equidistant… Angles

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111 Theorem – The angle at the centre of a circle is double… Angles

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112 Theorem – Angles in the same segment of a circle are eq… Angles

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113 Theorem – The angle of a semi-circle is a right angle. Angles

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114 Theorem – The opposite angles of a cyclic quadrilateral… Angles

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115 Theorem – The exterior angle at a vertex of a cyclic qu… Angles

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116 Theorem – The tangent to a circle is perpendicular to t… Angles

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117 Theorem – Tangents to a circle from an external point a… Angles

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118 Theorem – The angle between a tangent and a chord throu… Angles

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119 Theorem – The products of the intercepts of two interse… Angles

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120 Theorem – The square of the length of the tangent from … Angles

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121 Theorem – If the opposite angles in a quadrilateral are… Angles

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122 Theorem – If an interval subtends equal angles at two p… Angles

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123 Theorem – When circles touch, the line of the centres p… Angles

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124 Theorem – Any three non-collinear points lie on a uniqu… Angles

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125 Geometric constructions Construction

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126 To identify collinear points, coplanar lines and points… Construction

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127 Angle bisector construction and its properties (Stage 2… Construction

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128 Circumcentre and incentre (Stage 2) Construction

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129 Orthocentre and centroids (Stage 2) Construction

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130 Constructions and loci – single condition Construction

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131 Constructions and loci – multiple conditions Construction

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132 Spatial properties of quadrilaterals Triangles

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133 Similar triangles Similar shapes

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134 Using similar triangles to calculate lengths Similar shapes

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135 Special triangles Similar shapes

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136 Use grids to enlarge/reduce 2D shapes Transformations

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137 Special transformations – reflections, rotations and en… Transformations

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138 Transformations – reflections Transformations

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139 Geometry transformations without matrices: reflection (… Transformations

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140 Geometry transformations without matrices: translation … Transformations

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141 Geometry transformations without matrices: rotation (St… Transformations

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142 Geometry transformations without matrices: dilation or … Transformations

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143 The definition and concept of combined transformations … Transformations

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144 Recognise and name triangles Triangles

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145 Midsegments of Triangles Quadrilaterals

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146 Congruent triangles, Test 1 and 2 Triangles

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147 Congruent triangles, Test 3 and 4 Triangles

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148 Proofs and congruent triangles. Triangles

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149 Examples involving overlapping triangles Triangles

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150 Find the hypotenuse Pythagoras

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151 Pythagorean triples Pythagoras

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152 Find the hypotenuse Part 2 Pythagoras

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153 Calculating a leg of a right-angled triangle Pythagoras

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154 Proofs of Pythagoras theorem Pythagoras

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155 Graphing the trigonometric ratios – I Sine curve. Trigonometry

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156 Graphing the trigonometric ratios – II Cosine curve. Trigonometry

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157 Graphing the trigonometric ratios – III Tangent curve. Trigonometry

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158 Graphing the trigonometric ratios – IV Reciprocal ratio… Trigonometry

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159 Trigonometric ratios. Trigonometry

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160 Using the calculator. Trigonometry

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161 Using the trigonometric ratios to find unknown length. … Trigonometry

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162 Using the trigonometric ratios to find unknown length. … Trigonometry

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163 Using the trigonometric ratios to find unknown length. … Trigonometry

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164 Unknown in the denominator. [Case 4]. Trigonometry

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165 Angles of elevation and depression. Trigonometry

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166 Trigonometric ratios in practical situations. Trigonometry

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167 Using the calculator to find an angle given a trigonome… Trigonometry

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168 Using the trigonometric ratios to find an angle in a ri… Trigonometry

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169 Trigonometric ratios of 30., 45. and 60. – exact ratios… Trigonometry

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170 The cosine rule to find an unknown side. [Case 1 SAS]. Trigonometry

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To be done
171 The cosine rule to find an unknown angle. [Case 2 SSS]. Trigonometry

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172 The sine rule to find an unknown side. Case 1. Trigonometry

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173 The sine rule to find an unknown angle. Case 2. Trigonometry

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174 The area formula Trigonometry

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175 Reciprocal ratios. Trigonometry

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176 Angles of any magnitude Trigonometry

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177 Trigonometric ratios of 0°, 90°, 180°, 270° and 360° Trigonometry

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178 Distance formula. Coordinate geometry

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179 Mid-point formula Coordinate geometry

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180 Gradient Coordinate geometry

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181 Gradient formula. Coordinate geometry

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182 The straight line. Coordinate geometry

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183 Lines through the origin. Coordinate geometry

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184 General form of a line and the x and y Intercepts. Coordinate geometry

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185 General sequences. Series and sequences

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186 Finding Tn given Sn. Series and sequences

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187 Algebraic expressions. Simplifying

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188 Simplifying Algebraic expressions: combining addition a… Simplifying

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189 Simplifying algebraic expressions: multiplication Simplifying

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190 Simplifying algebraic expressions: division Simplifying

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191 Expanding algebraic expressions: multiplication Simplifying

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192 Expanding algebraic expressions: negative multiplier Simplifying

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193 Expanding and simplifying algebraic expressions Simplifying

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194 Simplifying algebraic fractions using the index laws. Simplifying

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195 Algebraic fractions resulting in negative indices. Simplifying

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196 Cancelling binomial factors in algebraic fractions. Simplifying

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197 Products in simplification of algebraic expressions Simplifying

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198 Algebraic Expressions – Larger expansions. Simplifying

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199 Simplifying algebraic fractions. Simplifying

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200 Simplifying absolute values Inequalities

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201 Quadratic polynomials of the form y = ax. + bx + c. Graphs

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202 Graphing perfect squares: y=(a-x) squared Graphs

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203 Solve by graphing Graphs

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204 Graphing cubic curves Graphs

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205 Solving equations containing addition and subtraction Equations

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206 Solving equations containing multiplication and divisio… Equations

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207 Solving two step equations Equations

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208 Solving equations containing binomial expressions Equations

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209 Equations involving grouping symbols. Equations

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210 Equations involving fractions. Equations

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211 Solving for the variable Inequalities

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212 Simultaneous equations Equations

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213 Elimination method Equations

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214 Elimination method part 2 Equations

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215 Applications of simultaneous equations Equations

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216 Expansions leading to the difference of two squares Factorising

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217 Common factor and the difference of two squares Factorising

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218 Factorising quadratic trinomials [monic] – Case 2. Factorising

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219 Factorising quadratic trinomials [monic] – Case 3. Factorising

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220 Factorising quadratic trinomials [monic] – Case 4. Factorising

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221 Factorisation of non-monic quadratic trinomials Factorising

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222 Factorisation of non-monic quadratic trinomials – moon … Factorising

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223 Substitution into algebraic expressions. Simplifying

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224 Equations resulting from substitution into formulae. Formulae

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225 Changing the subject of the formula. Formulae

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226 Simplifying easy algebraic fractions. Factorising

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227 Factorisation of algebraic fractions including binomial… Factorising

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228 Solving Inequalities. Inequalities

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229 Solving and graphing inequalities Inequalities

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230 Inequalities on the number plane. Inequalities

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231 Difference of two squares Roots

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232 Quadratic trinomials [monic] – Case 1. Roots

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233 Introduction to quadratic equations. Roots

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234 Quadratic equations with factorisation. Roots

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235 Solving quadratic equations. Roots

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236 The quadratic formula Roots

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237 Problem solving with quadratic equations Roots

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238 Solving simultaneous quadratic equations graphically Roots

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239 Vectors Matrices

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240 The range. Scatter diagrams

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241 The mode Probability

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242 The mean Probability

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243 The median Probability

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244 Calculating the median from a frequency distribution Probability

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245 Calculating mean, mode and median from grouped data Averages

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246 Range as a measure of dispersion Averages

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247 Measures of spread Averages

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248 Measures of spread: the interquartile range Averages

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249 Pie and bar graphs. Pie charts

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250 Scatter Diagrams Scatter diagrams

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251 Stem and Leaf Plots along with Box and Whisker Plots Scatter diagrams

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252 Cumulative frequency Probability

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253 Frequency histograms and polygons Scatter diagrams

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254 Line graphs. Pie charts

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255 Frequency distribution table Scatter diagrams

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256 Relative frequency Scatter diagrams

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257 Probability of Simple Events Probability

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258 Rolling a pair of dice Probability

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259 Experimental probability Probability

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260 Tree diagrams – not depending on previous outcomes Probability

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261 Tree diagrams – depending on previous outcomes Probability

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262 Exam – KS4 – Maths – Higher Review of all course work

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To be done