KS4 – Foundation Mathematics – England
KS4 – Foundation Mathematics
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1  Multiplication by 2 and 3 digits  Multiplication and division 
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Current lesson  
2  Multiplying 2digit numbers by multiple of 10  Multiplication and division 
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To be done  
3  Multiplying 3 and 4digit numbers by multiples of 100  Multiplication and division 
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4  Multiplying 2digit numbers by 2digit numbers  Multiplication and division 
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5  Multiplying 4digit numbers by 3digit numbers  Multiplication and division 
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6  Multiplying 4digit numbers by 4digit number  Multiplication and division 
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7  Multiplying decimals by 10, 100 and 1000  Decimals 
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8  Repeated subtraction with divisors greater than 20 with…  Multiplication and division 
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9  Repeated subtraction with divisors less than 35 with so…  Multiplication and division 
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10  Repeated subtraction with divisors less than 55 with di…  Multiplication and division 
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11  Repeated subtraction with divisors greater than 50 with…  Multiplication and division 
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12  Using divide, multiply and subtraction in the bring dow…  Multiplication and division 
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13  Dividing decimals by 10, 100 and 1000  Decimals 
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14  Using Order of Operation procedures (BIDMAS) with Fract…  Bidmas 
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15  Transformations that produce equivalent equations  Bidmas 
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16  Directed numbers: addition and subtraction.  Simplifying 
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17  Directed numbers: multiplication and division.  Simplifying 
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18  Adding decimals to two decimal places  Decimals 
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19  Subtracting decimals to two decimal places  Decimals 
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20  Using decimals – shopping problems  Decimals 
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21  Rounding decimals  Decimals 
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22  Decimals to three decimal places  Decimals 
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23  Adding decimals with a different number of decimal plac…  Decimals 
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24  Subtracting decimals with a different number of places  Decimals 
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25  Multiplying decimals by whole numbers  Decimals 
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26  Multiplication of decimals by decimals to two decimal p…  Decimals 
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27  Dividing decimal fractions by whole numbers  Decimals 
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28  Dividing numbers by a decimal fraction  Decimals 
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29  Comparing and ordering fractions  Fractions 
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30  mixed numbers (mixed numerals)  Fractions 
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31  Improper fractions  Fractions 
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32  Finding equivalent fractions  Fractions 
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33  Multiplying and dividing to obtain equivalent fractions  Fractions 
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34  Reducing fractions to lowest equivalent form  Fractions 
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35  Comparing and ordering fractions greater than (>) 1  Fractions 
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36  Subtracting fractions from whole numbers  Fractions 
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37  Adding and subtracting fractions with the same denomina…  Fractions 
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38  Adding and subtracting fractions with different denomin…  Fractions 
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39  Multiplying fractions by whole numbers  Fractions 
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40  Fractions of whole numbers  Fractions 
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41  Multiplying fractions  Fractions 
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42  Multiplying mixed numbers (mixed numerals)  Fractions 
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43  Finding reciprocals of fractions and mixed numbers (mix…  Fractions 
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44  Dividing fractions  Fractions 
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45  Dividing mixed numbers (mixed numerals)  Fractions 
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46  Problems with numbers.  Problem solving 
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47  Problems involving money  Problem solving 
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48  Multiples and factors of whole numbers  Multiplication and division 
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49  Highest common factor.  Multiples and factors 
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50  Factors by grouping.  Multiples and factors 
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51  Adding indices when multiplying terms with the same bas…  Indices 
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52  Subtracting indices when dividing terms with the same b…  Indices 
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53  Multiplying indices when raising a power to a power  Indices 
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54  Multiplying indices when raising to more than one term  Indices 
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55  Terms raised to the power of zero  Indices 
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56  Calculating Percentages and Fractions of Quantities  Percentages 
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57  Introduction to percentages, including converting fract…  Percentages 
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58  Changing fractions and decimals to percentages using te…  Percentages 
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59  Changing percentages to fractions and decimals  Percentages 
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60  One quantity as a percentage of another  Percentages 
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61  Number sets and their members  Sets 
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62  Properties of real numbers using addition and multiplic…  Real numbers 
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63  24 hour time  Time 
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64  Time zones  Time 
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65  Read and calculate distances on a map using the formal …  Problem solving 
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66  Describing position.  Coordinates 
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67  Mapping and grid references  Coordinates 
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68  Main compass points  Coordinates 
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69  Using the metre as a formal unit to measure perimeter  Problem solving 
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70  Using the formal unit of the centimetre to measure leng…  Problem solving 
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71  Compare and convert formal units of measurement  Problem solving 
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72  The kilogram  Mass 
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73  The gram and net mass  Mass 
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74  The tonne – converting units and problems  Mass 
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75  Converting between volume and capacity using millilitre…  Capacity 
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76  Using the cubic cm and displacement to measure volume a…  Capacity 
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77  The relationship between the common units of capacity, …  Capacity 
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78  Converting between volume and capacity using kilolitres…  Capacity 
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79  Estimate, measure and compare the capacity of container…  Capacity 
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80  Areas of rectangles and parallelograms  Problem solving 
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81  Finding the area of a triangle and other composite shap…  Problem solving 
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82  Larger areas: square metre, hectare, square kilometre.  Problem solving 
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83  Comparing and ordering areas.  Problem solving 
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84  Area of a trapezium.  Problem solving 
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85  Area of a rhombus.  Problem solving 
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86  Area of a circle.  Problem solving 
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87  Introduction to volume. using the cubic centimetre as a…  Volume 
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88  Using the cubic centimetre to measure volume.  Volume 
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89  Introducing the formula for volume.  Volume 
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90  Using the cubic metre to measure volume.  Volume 
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91  Solving Problems about Volume – Part 1.  Volume 
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92  Solving Problems about Volume – Part 2.  Volume 
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93  Finding the volume of prisms  Volume 
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94  Surface area of a cube/rectangular prism.  Surface area 
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95  Surface area of a triangular/trapezoidal prism.  Surface area 
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96  Problems with length.  Problem solving 
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97  Problems with mass.  Problem solving 
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98  Problems with area.  Problem solving 
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99  Problems with volume/capacity.  Problem solving 
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100  Using the prefix to determine polygons  Triangles 
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101  Recognise and name prisms according to spatial properti…  3D shapes 
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102  Recognise and name pyramids according to spatial proper…  3D shapes 
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103  Recognise nets for prisms, pyramids, cubes and cones  3D shapes 
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104  Viewing 3D shapes.  3D shapes 
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105  Constructing models.  3D shapes 
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106  Measure and classify angles  Angles 
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107  Measuring angles  Angles 
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108  Adjacent angles  Angles 
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109  Complementary and supplementary angles  Angles 
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110  Vertically opposite angles  Angles 
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111  Angles at a Point.  Angles 
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112  Parallel Lines.  Angles 
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113  Additional questions involving parallel lines  Angles 
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114  Angle sum of a triangle  Angles 
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115  Exterior angle theorem  Angles 
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116  To determine angle labelling rules, naming angles accor…  Angles 
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117  More difficult exercises involving parallel lines  Angles 
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118  Further difficult exercises involving formal reasoning  Series and sequences 
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119  Angles of regular polygons  Angles 
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120  Complementary angle results.  Angles 
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121  Bearings – the compass.  Angles 
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122  Geometric constructions  Construction 
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123  To identify collinear points, coplanar lines and points…  Construction 
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124  Angle bisector construction and its properties (Stage 2…  Construction 
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125  Circumcentre and incentre (Stage 2)  Construction 
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126  Orthocentre and centroids (Stage 2)  Construction 
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127  Constructions and loci – single condition  Construction 
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128  Constructions and loci – multiple conditions  Construction 
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129  Recognise and name triangles  Triangles 
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130  Similar triangles  Similar shapes 
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131  Using similar triangles to calculate lengths  Similar shapes 
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132  Midsegments of Triangles  Quadrilaterals 
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133  Congruent triangles, Test 1 and 2  Triangles 
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134  Congruent triangles, Test 3 and 4  Triangles 
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135  Spatial properties of quadrilaterals  Triangles 
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136  Use grids to enlarge/reduce 2D shapes  Transformations 
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137  Transformations – reflections  Transformations 
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138  Geometry transformations without matrices: reflection (…  Transformations 
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139  Geometry transformations without matrices: translation …  Transformations 
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140  Geometry transformations without matrices: rotation (St…  Transformations 
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141  Geometry transformations without matrices: dilation or …  Transformations 
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142  The definition and concept of combined transformations …  Transformations 
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143  Find the hypotenuse  Pythagoras 
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144  Pythagorean triples  Pythagoras 
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145  Find the hypotenuse Part 2  Pythagoras 
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146  Calculating a leg of a rightangled triangle  Pythagoras 
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147  Proofs of Pythagoras theorem  Pythagoras 
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148  General sequences.  Series and sequences 
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149  Finding Tn given Sn.  Series and sequences 
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150  Algebraic expressions.  Simplifying 
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151  Simplifying algebraic expressions: adding like terms.  Simplifying 
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152  Simplifying algebraic Expressions: subtracting like ter…  Simplifying 
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153  Simplifying Algebraic expressions: combining addition a…  Simplifying 
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154  Simplifying algebraic expressions: multiplication  Simplifying 
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155  Simplifying algebraic expressions: division  Simplifying 
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156  Expanding algebraic expressions: multiplication  Simplifying 
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157  Expanding algebraic expressions: negative multiplier  Simplifying 
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158  Expanding and simplifying algebraic expressions  Simplifying 
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159  Simplifying algebraic fractions using the index laws.  Simplifying 
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160  Simplifying absolute values  Inequalities 
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161  Solving equations containing addition and subtraction  Equations 
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162  Solving equations containing multiplication and divisio…  Equations 
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163  Solving two step equations  Equations 
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164  Solving equations containing binomial expressions  Equations 
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165  Equations involving grouping symbols.  Equations 
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166  Solving for the variable  Inequalities 
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167  Expansions leading to the difference of two squares  Factorising 
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168  Common factor and the difference of two squares  Factorising 
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169  Factorising quadratic trinomials [monic] – Case 2.  Factorising 
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170  Factorising quadratic trinomials [monic] – Case 3.  Factorising 
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171  Factorising quadratic trinomials [monic] – Case 4.  Factorising 
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172  Substitution into algebraic expressions.  Simplifying 
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173  Equations resulting from substitution into formulae.  Formulae 
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174  Changing the subject of the formula.  Formulae 
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175  Solving Inequalities.  Inequalities 
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176  Solving and graphing inequalities  Inequalities 
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177  Inequalities on the number plane.  Inequalities 
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178  The range.  Scatter diagrams 
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179  The mode  Probability 
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180  The mean  Probability 
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181  The median  Probability 
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182  Calculating the median from a frequency distribution  Probability 
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183  Calculating mean, mode and median from grouped data  Averages 
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184  Bar Charts  Pie charts 
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185  Line graphs.  Pie charts 
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186  Pictograms  Pie charts 
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187  Pie and bar graphs.  Pie charts 
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188  Scatter Diagrams  Scatter diagrams 
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189  Stem and Leaf Plots along with Box and Whisker Plots  Scatter diagrams 
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190  Frequency distribution table  Scatter diagrams 
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191  Relative frequency  Scatter diagrams 
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192  Probability of Simple Events  Probability 
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193  Rolling a pair of dice  Probability 
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194  Experimental probability  Probability 
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195  Tree diagrams – not depending on previous outcomes  Probability 
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196  Tree diagrams – depending on previous outcomes  Probability 
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197  Exam – KS4 – Maths – Foundation  Review of all course work 
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