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### EdExcel-GCSE Revision Higher Mathematics

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1 Highest common factor. Multiples and factors

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Current lesson
2 Multiplying mixed numbers (mixed numerals) Fractions

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To be done
3 Dividing mixed numbers (mixed numerals) Fractions

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To be done
4 Multiplying indices when raising a power to a power Indices

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

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To be done
6 Negative Indices Indices

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7 Fractional indices Indices

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8 Complex fractions as indices Indices

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9 Calculating Percentages and Fractions of Quantities Percentages

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10 Introduction to percentages, including converting fract… Percentages

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11 Changing fractions and decimals to percentages using te… Percentages

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12 Changing percentages to fractions and decimals Percentages

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13 One quantity as a percentage of another Percentages

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14 Compound interest Percentages

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15 Significant figures Approximation

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16 Average speed Speed

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17 Scientific notation with larger numbers Standard form

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18 Scientific notation with small numbers Standard form

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19 Changing scientific notation to numerals Standard form

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20 Introducing surds Surds

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21 Some rules for the operations with surds Surds

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22 Simplifying surds Surds

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23 Expanding surds Surds

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24 Area of a trapezium. Problem solving

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25 Area of a circle. Problem solving

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26 Area of regular polygons and composite figures. Problem solving

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

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

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29 Surface area of a cylinder and sphere. Surface area

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30 Surface area of pyramids Surface area

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31 Surface area of cones Surface area

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32 Finding the volume of prisms Volume

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33 Volume of a cylinder and sphere. Volume

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34 Volume of pyramids and cones. Volume

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35 Composite solids. Volume

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36 Exterior angle theorem Angles

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37 More difficult exercises involving parallel lines Angles

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38 Angles of regular polygons Angles

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39 Complementary angle results. Angles

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40 Bearings – the compass. Angles

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

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

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

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

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

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

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

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48 Geometric constructions Construction

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49 Constructions and loci – multiple conditions Construction

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50 Similar triangles Similar shapes

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51 Using similar triangles to calculate lengths Similar shapes

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52 Geometry transformations without matrices: reflection (… Transformations

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53 Geometry transformations without matrices: translation … Transformations

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54 Geometry transformations without matrices: rotation (St… Transformations

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55 Geometry transformations without matrices: dilation or … Transformations

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56 Congruent triangles, Test 1 and 2 Triangles

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57 Congruent triangles, Test 3 and 4 Triangles

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58 Find the hypotenuse Pythagoras

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59 Find the hypotenuse Part 2 Pythagoras

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60 Calculating a leg of a right-angled triangle Pythagoras

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61 Graphing the trigonometric ratios – I Sine curve. Trigonometry

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62 Graphing the trigonometric ratios – II Cosine curve. Trigonometry

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63 Graphing the trigonometric ratios – III Tangent curve. Trigonometry

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

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

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

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

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

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

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70 The cosine rule to find an unknown angle. [Case 2 SSS]. Trigonometry

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

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

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73 The area formula Trigonometry

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74 General sequences. Series and sequences

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75 Finding Tn given Sn. Series and sequences

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76 Products in simplification of algebraic expressions Simplifying

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77 Algebraic Expressions – Larger expansions. Simplifying

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78 Simplifying algebraic fractions. Simplifying

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

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80 Equations involving grouping symbols. Equations

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81 Equations involving fractions. Equations

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82 Elimination method Equations

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83 Elimination method part 2 Equations

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84 Common factor and the difference of two squares Factorising

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

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

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

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

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89 Substitution into algebraic expressions. Simplifying

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90 Equations resulting from substitution into formulae. Formulae

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91 Changing the subject of the formula. Formulae

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92 Solving Inequalities. Inequalities

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93 Solving and graphing inequalities Inequalities

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94 Quadratic equations with factorisation. Roots

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97 Vectors Matrices

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98 Calculating the median from a frequency distribution Probability

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99 Calculating mean, mode and median from grouped data Averages

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100 Scatter Diagrams Scatter diagrams

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

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102 Cumulative frequency Probability

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103 Frequency histograms and polygons Scatter diagrams

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104 Rolling a pair of dice Probability

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105 Experimental probability Probability

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106 Tree diagrams – not depending on previous outcomes Probability

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107 Tree diagrams – depending on previous outcomes Probability

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108 Final Review of GCSE Revision Higher – EdExcel Review of all course work

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To be done