Algebra This is a list of the GCSE topics matched up to the clip numbers on mathswatch, all students in year 11 are currently being given usernames and passwords so they can access Mathswatch online or download the free app from the app store to use on tablets and smartphones. Grade D Generate a sequence from the nth term Substitution Clip 65 66 Grade C Algebraic simplification Expanding and simplifying brackets Factorisation Solving equations Forming equations Changing the subject of a formula Inequalities Solving inequalities Trial and improvement Index notation for multiplication and division Finding the Nth term Drawing straight line graphs Finding the equation of a straight line Solving simultaneous equations graphically Drawing quadratic graphs Real-life graphs 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 Grade B Solving quadratic equations by solving Difference of two squares Simultaneous linear equations Understanding y = mx + c Regions Graphs of cubic and reciprocal functions Recognise the shape of functions 140 141 142 143 144 145 146 Grade A/A* Solve quadratics using the formula Solve quadratics by completing the square Algebraic functions Rearranging difficult formulae Simultaneous equations involving a quadratic Gradients of parallel and perpendicular lines Transformation of functions Graphs of trigonometric functions Transformations of trigonometric functions Graphs of exponential functions 161 162 163 164 165 166 167 168 169 170 Y/N Data Handling Grade D Questionnaires and data collection Two-way tables Pie charts Scatter Graphs Frequency diagrams Stem and leaf diagrams Lists of outcomes Mutually exclusive events Clip 84 85 86 87 88 89 90 91 Grade C Experimental probabilities Averages from a table Questionnaires 132 133 134 Grade B Cumulative Frequency Boxplots Moving Averages Tree Diagrams 151 152 153 154 Grade A/A* Histograms Probability ‘And’ & ‘Or’ Questions Stratified Sampling 181 182 183 Y/N Number Grade D Factors, multiples and primes Evaluate powers Understanding squares cubes and roots Equivalent fractions Simplification of fractions Ordering fractions Value of money Percentage of an amount with a calculator Percentage of an amount without a calculator Change to a percentage with a calculator Change to a percentage without a calculator Find a fraction of an amount Addition and subtraction of fractions Multiplication and division of fractions Changing fractions to decimals BODMAS Long multiplication of decimals Ratio Proportion recipe type questions Hard calculator questions Real-life money questions Clip 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 Grade C Overview of percentages Increase/decrease by a percentage Ratio Product of prime factors HCF and LCM Standard form Recurring decimals into fractions Four rules of negatives Division by 2-digit decimals Estimating answers 92 93 94 95 96 97 98 99 100 101 Grade B Standard form calculation Percentage Increase/Decrease Compound Interest/Depreciation Reverse Percentage Four Rules of Fractions 135 136 137 138 139 Grade A/A* Recurring Decimals Fractional and Negative Indices Surds Rationalising the Denominator Direct and Inverse Proportion Upper and Lower Bound Difficult Questions 155 156 157 158 159 160 Y/N Shape Grade D Parallel Lines Angle Sum of a Triangle Properties of Special Triangles Angles of Regular Polygons Area of Circle Circumference of Circle Area of Compound Shapes Rotations Reflections Enlargements Translations Finding the Mid-Pont of a Line Measuring and Drawing Angles Drawing Triangles Plans and Elevations Nets Symmetries Clip 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Grade C Pythagoras’ Theorem Pythagoras – Line on a Graph 3-D Coordinates Surface Area of Cuboids Volume of a Prism Similar Shapes Dimensions Upper and Lower Bounds Compound Measures Bisecting a Line Drawing a Perpendicular to a Line Bisecting an Angle Loci Bearings 118 119 120 121 122 123 124 125 126 127 128 129 130 131 Grade B Trigonometry Bearings by Trigonometry Similar shapes Circle Theorems 147 148 149 150 Grade A to A* Enlargement by Negative Scale Factors Equations of Circles and Loci Sine and Cosine Rules Pythagoras in 3D Trigonometry in 3D Areas of Triangles using ½ absinC Cones and Spheres Segments and Frustrums 171 172 173 174 175 176 177 178 Y/N Congruent Triangles Vectors 179 180
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