OCR – GCSE Revision Higher Mathematics – Wales
Mathematics
| # | TOPIC | TITLE | ||
|---|---|---|---|---|
| 1 | Initial Assessment | Initial Assessment | ||
| 2 | N Multiples and factors | Highest common factor. | ||
| 3 | N Fractions | Multiplying mixed numbers (mixed numerals) | ||
| 4 | N Fractions | Dividing mixed numbers (mixed numerals) | ||
| 5 | N Indices | Multiplying indices when raising a power to a power | ||
| 6 | N Indices | Multiplying indices when raising to more than one term | ||
| 7 | N Indices | Negative Indices | ||
| 8 | N Indices | Fractional indices | ||
| 9 | N Indices | Complex fractions as indices | ||
| 10 | N Percentages | Calculating Percentages and Fractions of Quantities | ||
| 11 | N Percentages | Introduction to percentages, including converting fract… | ||
| 12 | N Percentages | Changing fractions and decimals to percentages using te… | ||
| 13 | N Percentages | Changing percentages to fractions and decimals | ||
| 14 | N Percentages | One quantity as a percentage of another | ||
| 15 | N Percentages | Compound interest | ||
| 16 | N Approximation | Significant figures | ||
| 17 | N Speed | Average speed | ||
| 18 | N Standard form | Scientific notation with larger numbers | ||
| 19 | N Standard form | Scientific notation with small numbers | ||
| 20 | N Standard form | Changing scientific notation to numerals | ||
| 21 | N Surds | Introducing surds | ||
| 22 | N Surds | Some rules for the operations with surds | ||
| 23 | N Surds | Simplifying surds | ||
| 24 | N Surds | Expanding surds | ||
| 25 | M Problem solving | Area of a trapezium. | ||
| 26 | M Problem solving | Area of a circle. | ||
| 27 | M Problem solving | Area of regular polygons and composite figures. | ||
| 28 | M Surface area | Surface area of a cube/rectangular prism. | ||
| 29 | M Surface area | Surface area of a triangular/trapezoidal prism. | ||
| 30 | M Surface area | Surface area of a cylinder and sphere. | ||
| 31 | M Surface area | Surface area of pyramids | ||
| 32 | M Surface area | Surface area of cones | ||
| 33 | M Volume | Finding the volume of prisms | ||
| 34 | M Volume | Volume of a cylinder and sphere. | ||
| 35 | M Volume | Volume of pyramids and cones. | ||
| 36 | M Volume | Composite solids. | ||
| 37 | G Angles | Exterior angle theorem | ||
| 38 | G Angles | More difficult exercises involving parallel lines | ||
| 39 | G Angles | Angles of regular polygons | ||
| 40 | G Angles | Complementary angle results. | ||
| 41 | G Angles | Bearings – the compass. | ||
| 42 | G Angles | Theorem – The angle at the centre of a circle is double… | ||
| 43 | G Angles | Theorem – Angles in the same segment of a circle are eq… | ||
| 44 | G Angles | Theorem – The angle of a semi-circle is a right angle. | ||
| 45 | G Angles | Theorem – The opposite angles of a cyclic quadrilateral… | ||
| 46 | G Angles | Theorem – The tangent to a circle is perpendicular to t… | ||
| 47 | G Angles | Theorem – Tangents to a circle from an external point a… | ||
| 48 | G Angles | Theorem – The angle between a tangent and a chord throu… | ||
| 49 | G Construction | Geometric constructions | ||
| 50 | G Construction | Constructions and loci – multiple conditions | ||
| 51 | G Similar shapes | Similar triangles | ||
| 52 | G Similar shapes | Using similar triangles to calculate lengths | ||
| 53 | G Transformations | Geometry transformations without matrices: reflection (… | ||
| 54 | G Transformations | Geometry transformations without matrices: translation … | ||
| 55 | G Transformations | Geometry transformations without matrices: rotation (St… | ||
| 56 | G Transformations | Geometry transformations without matrices: dilation or … | ||
| 57 | G Triangles | Congruent triangles, Test 1 and 2 | ||
| 58 | G Triangles | Congruent triangles, Test 3 and 4 | ||
| 59 | G Pythagoras | Find the hypotenuse | ||
| 60 | G Pythagoras | Find the hypotenuse Part 2 | ||
| 61 | G Pythagoras | Calculating a leg of a right-angled triangle | ||
| 62 | G Trigonometry | Graphing the trigonometric ratios – I Sine curve. | ||
| 63 | G Trigonometry | Graphing the trigonometric ratios – II Cosine curve. | ||
| 64 | G Trigonometry | Graphing the trigonometric ratios – III Tangent curve. | ||
| 65 | G Trigonometry | Using the trigonometric ratios to find unknown length. … | ||
| 66 | G Trigonometry | Using the trigonometric ratios to find unknown length. … | ||
| 67 | G Trigonometry | Using the trigonometric ratios to find unknown length. … | ||
| 68 | G Trigonometry | Unknown in the denominator. [Case 4]. | ||
| 69 | G Trigonometry | Using the calculator to find an angle given a trigonome… | ||
| 70 | G Trigonometry | The cosine rule to find an unknown side. [Case 1 SAS]. | ||
| 71 | G Trigonometry | The cosine rule to find an unknown angle. [Case 2 SSS]. | ||
| 72 | G Trigonometry | The sine rule to find an unknown side. Case 1. | ||
| 73 | G Trigonometry | The sine rule to find an unknown angle. Case 2. | ||
| 74 | G Trigonometry | The area formula | ||
| 75 | AS Series and sequences | General sequences. | ||
| 76 | AS Series and sequences | Finding Tn given Sn. | ||
| 77 | A Simplifying | Products in simplification of algebraic expressions | ||
| 78 | A Simplifying | Algebraic Expressions – Larger expansions. | ||
| 79 | A Simplifying | Simplifying algebraic fractions. | ||
| 80 | A Graphs | Quadratic polynomials of the form y = ax. + bx + c. | ||
| 81 | A Equations | Equations involving grouping symbols. | ||
| 82 | A Equations | Equations involving fractions. | ||
| 83 | A Equations | Elimination method | ||
| 84 | A Equations | Elimination method part 2 | ||
| 85 | A Factorising | Common factor and the difference of two squares | ||
| 86 | A Factorising | Factorising quadratic trinomials [monic] – Case 2. | ||
| 87 | A Factorising | Factorising quadratic trinomials [monic] – Case 3. | ||
| 88 | A Factorising | Factorising quadratic trinomials [monic] – Case 4. | ||
| 89 | A Factorising | Factorisation of non-monic quadratic trinomials – moon … | ||
| 90 | A Simplifying | Substitution into algebraic expressions. | ||
| 91 | A Formulae | Equations resulting from substitution into formulae. | ||
| 92 | A Formulae | Changing the subject of the formula. | ||
| 93 | A Inequalities | Solving Inequalities. | ||
| 94 | A Inequalities | Solving and graphing inequalities | ||
| 95 | A Roots | Quadratic equations with factorisation. | ||
| 96 | A Roots | Solving quadratic equations. | ||
| 97 | A Roots | Completing the square | ||
| 98 | A Roots | The quadratic formula | ||
| 99 | S Probability | Calculating the median from a frequency distribution | ||
| 100 | S Averages | Calculating mean, mode and median from grouped data | ||
| 101 | S Scatter diagrams | Scatter Diagrams | ||
| 102 | S Scatter diagrams | Stem and Leaf Plots along with Box and Whisker Plots | ||
| 103 | S Probability | Cumulative frequency | ||
| 104 | S Scatter diagrams | Frequency histograms and polygons | ||
| 105 | P Probability | Rolling a pair of dice | ||
| 106 | P Probability | Experimental probability | ||
| 107 | P Probability | Tree diagrams – not depending on previous outcomes | ||
| 108 | P Probability | Tree diagrams – depending on previous outcomes | ||
| 109 | End of Course Assessment | End of Course Assessment |
Other courses in this curriculum
- KS3 - Year 9 Mathematics - Wales
- KS4 - Foundation Mathematics - Wales
- KS4 - Higher Mathematics - Wales
- KS5 - Core Mathematics - Wales
- KS5 - Statistics Mathematics - Wales
- OCR - GCSE Revision Foundation Mathematics - Wales
- WJEC - GCSE Revision Foundation Mathematics - Wales
- WJEC - GCSE Revision Higher Mathematics - Wales
- Year 2 English – Wales
- Year 3 English – Wales
- Year 4 English – Wales
- Year 5 English – Wales
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