| Introduction |
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| Maths Frameworking and the 2014 Key Stage 3 Programme of study for mathematics |
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| Programme of study matching chart |
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1 | (2) |
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3 | (2) |
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1.2 Percentage increases and decreases |
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5 | (2) |
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1.3 Calculating the original value |
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7 | (2) |
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1.4 Repeated percentage changes |
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9 | (4) |
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11 | (1) |
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Challenge -- Exponential growth |
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11 | (2) |
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13 | (2) |
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2.1 Multiplying out brackets |
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15 | (2) |
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2.2 Factorising algebraic expressions |
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17 | (2) |
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2.3 Expressions with several variables |
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19 | (2) |
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2.4 Equations with fractions |
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21 | (4) |
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23 | (1) |
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Investigation -- Body mass index |
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23 | (2) |
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25 | (2) |
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3.1 Properties of polygons |
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27 | (2) |
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3.2 Interior and exterior angles of regular polygons |
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29 | (2) |
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3.3 Tessellations and regular polygons |
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31 | (4) |
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33 | (1) |
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Mathematical reasoning -- Semi-regular tessellations |
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33 | (2) |
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35 | (2) |
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4.1 Scatter graphs and correlation |
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37 | (2) |
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39 | (2) |
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4.3 Estimation of a mean from grouped data |
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41 | (2) |
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4.4 Cumulative frequency diagrams |
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43 | (2) |
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4.5 Statistical investigations |
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45 | (4) |
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47 | (1) |
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47 | (2) |
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49 | (2) |
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51 | (2) |
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53 | (2) |
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5.3 Exponential growth graphs |
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55 | (4) |
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57 | (1) |
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Problem solving -- Mobile phone tariffs |
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57 | (2) |
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59 | (2) |
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6.1 Introducing Pythagoras' theorem |
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61 | (2) |
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6.2 Using Pythagoras' theorem to solve problems |
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63 | (2) |
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6.3 The converse of Pythagoras' theorem |
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65 | (4) |
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67 | (1) |
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Activity -- Practical Pythagoras |
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67 | (2) |
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69 | (2) |
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7.1 Adding and subtracting fractions |
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71 | (2) |
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7.2 Multiplying fractions and mixed numbers |
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73 | (2) |
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7.3 Dividing fractions and mixed numbers |
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75 | (2) |
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77 | (4) |
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79 | (1) |
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Investigation -- Fractions from one to six |
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79 | (2) |
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81 | (2) |
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8.1 Expanding the product of two brackets |
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83 | (2) |
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8.2 Expanding expressions with more than two brackets |
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85 | (2) |
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8.3 Factorising quadratic expressions with positive coefficients |
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87 | (2) |
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8.4 Factorising quadratic expressions with negative coefficients |
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89 | (2) |
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8.5 The difference of two squares |
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91 | (4) |
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93 | (1) |
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Challenge -- Graphs from expressions |
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93 | (2) |
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95 | (2) |
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97 | (2) |
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99 | (2) |
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9.3 Multiplying with numbers in standard form |
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101 | (2) |
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9.4 Dividing with numbers in standard form |
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103 | (2) |
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9.5 Upper and lower bounds |
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105 | (4) |
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107 | (1) |
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Mathematical reasoning -- To the stars and back |
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107 | (2) |
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10 Surface area and volume of cylinders |
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109 | (2) |
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10.1 Volume of a cylinder |
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111 | (2) |
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10.2 Surface area of a cylinder |
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113 | (2) |
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115 | (4) |
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117 | (1) |
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Problem solving -- Packaging soup |
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117 | (2) |
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11 Solving equations graphically |
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119 | (2) |
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11.1 Graphs from equations in the form ay ± bx = c |
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121 | (4) |
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11.2 Solving simultaneous equations by drawing graphs |
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125 | (2) |
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11.3 Solving quadratic equations by drawing graphs |
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127 | (2) |
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11.4 Solving cubic equations by drawing graphs |
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129 | (4) |
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131 | (1) |
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Challenge -- Maximum packages |
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131 | (2) |
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133 | (2) |
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135 | (2) |
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137 | (2) |
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139 | (4) |
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141 | (1) |
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Challenge -- Population density |
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141 | (2) |
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13 Right-angled triangles |
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143 | (2) |
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13.1 Introduction to trigonometric ratios |
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145 | (2) |
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13.2 How to find trigonometric ratios of angles |
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147 | (4) |
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13.3 Using trigonometric ratios to find angles |
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151 | (2) |
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13.4 Using trigonometric ratios to find lengths |
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153 | (4) |
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155 | (1) |
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Investigation -- Barnes Wallis and the bouncing bomb |
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155 | (2) |
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14 Revision and GCSE preparation |
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157 | (2) |
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159 | (2) |
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161 | (1) |
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GCSE preparation: solving quadratic equations |
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162 | (1) |
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162 | (2) |
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164 | (13) |
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177 | (5) |
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