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KS4 – Foundation Mathematics

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1 Multiplication by 2 and 3 digits Multiplication and division

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

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To be done
3 Multiplying 3 and 4-digit numbers by multiples of 100 Multiplication and division

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

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

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To be done
6 Multiplying 4-digit numbers by 4-digit 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 3-D 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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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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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 right-angled 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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