KS4 – Foundation Mathematics – England
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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| 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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| 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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| 108 | Adjacent 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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| 132 | Midsegments of Triangles | Quadrilaterals |
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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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