KS4 – Foundation Mathematics – Wales
KS4 – Foundation Mathematics
| # | TOPIC | TITLE | ||
|---|---|---|---|---|
| 1 | Initial Assessment | Initial Assessment | ||
| 2 | N Multiplication and division | Multiplication by 2 and 3 digits | ||
| 3 | N Multiplication and division | Multiplying 2-digit numbers by multiple of 10 | ||
| 4 | N Multiplication and division | Multiplying 3 and 4-digit numbers by multiples of 100 | ||
| 5 | N Multiplication and division | Multiplying 2-digit numbers by 2-digit numbers | ||
| 6 | N Multiplication and division | Multiplying 4-digit numbers by 3-digit numbers | ||
| 7 | N Multiplication and division | Multiplying 4-digit numbers by 4-digit number | ||
| 8 | N Decimals | Multiplying decimals by 10, 100 and 1000 | ||
| 9 | N Multiplication and division | Repeated subtraction with divisors greater than 20 with… | ||
| 10 | N Multiplication and division | Repeated subtraction with divisors less than 35 with so… | ||
| 11 | N Multiplication and division | Repeated subtraction with divisors less than 55 with di… | ||
| 12 | N Multiplication and division | Repeated subtraction with divisors greater than 50 with… | ||
| 13 | N Multiplication and division | Using divide, multiply and subtraction in the bring dow… | ||
| 14 | N Decimals | Dividing decimals by 10, 100 and 1000 | ||
| 15 | N Bidmas | Using Order of Operation procedures (BIDMAS) with Fract… | ||
| 16 | N Bidmas | Transformations that produce equivalent equations | ||
| 17 | N Simplifying | Directed numbers: addition and subtraction. | ||
| 18 | N Simplifying | Directed numbers: multiplication and division. | ||
| 19 | N Decimals | Adding decimals to two decimal places | ||
| 20 | N Decimals | Subtracting decimals to two decimal places | ||
| 21 | N Decimals | Using decimals – shopping problems | ||
| 22 | N Decimals | Rounding decimals | ||
| 23 | N Decimals | Decimals to three decimal places | ||
| 24 | N Decimals | Adding decimals with a different number of decimal plac… | ||
| 25 | N Decimals | Subtracting decimals with a different number of places | ||
| 26 | N Decimals | Multiplying decimals by whole numbers | ||
| 27 | N Decimals | Multiplication of decimals by decimals to two decimal p… | ||
| 28 | N Decimals | Dividing decimal fractions by whole numbers | ||
| 29 | N Decimals | Dividing numbers by a decimal fraction | ||
| 30 | N Fractions | Comparing and ordering fractions | ||
| 31 | N Fractions | mixed numbers (mixed numerals) | ||
| 32 | N Fractions | Improper fractions | ||
| 33 | N Fractions | Finding equivalent fractions | ||
| 34 | N Fractions | Multiplying and dividing to obtain equivalent fractions | ||
| 35 | N Fractions | Reducing fractions to lowest equivalent form | ||
| 36 | N Fractions | Comparing and ordering fractions greater than (>) 1 | ||
| 37 | N Fractions | Subtracting fractions from whole numbers | ||
| 38 | N Fractions | Adding and subtracting fractions with the same denomina… | ||
| 39 | N Fractions | Adding and subtracting fractions with different denomin… | ||
| 40 | N Fractions | Multiplying fractions by whole numbers | ||
| 41 | N Fractions | Fractions of whole numbers | ||
| 42 | N Fractions | Multiplying fractions | ||
| 43 | N Fractions | Multiplying mixed numbers (mixed numerals) | ||
| 44 | N Fractions | Finding reciprocals of fractions and mixed numbers (mix… | ||
| 45 | N Fractions | Dividing fractions | ||
| 46 | N Fractions | Dividing mixed numbers (mixed numerals) | ||
| 47 | N Problem solving | Problems with numbers. | ||
| 48 | N Problem solving | Problems involving money | ||
| 49 | N Multiplication and division | Multiples and factors of whole numbers | ||
| 50 | N Multiples and factors | Highest common factor. | ||
| 51 | N Multiples and factors | Factors by grouping. | ||
| 52 | N Indices | Adding indices when multiplying terms with the same bas… | ||
| 53 | N Indices | Subtracting indices when dividing terms with the same b… | ||
| 54 | N Indices | Multiplying indices when raising a power to a power | ||
| 55 | N Indices | Multiplying indices when raising to more than one term | ||
| 56 | N Indices | Terms raised to the power of zero | ||
| 57 | N Percentages | Calculating Percentages and Fractions of Quantities | ||
| 58 | N Percentages | Introduction to percentages, including converting fract… | ||
| 59 | N Percentages | Changing fractions and decimals to percentages using te… | ||
| 60 | N Percentages | Changing percentages to fractions and decimals | ||
| 61 | N Percentages | One quantity as a percentage of another | ||
| 62 | N Sets | Number sets and their members | ||
| 63 | N Real numbers | Properties of real numbers using addition and multiplic… | ||
| 64 | M Time | 24 hour time | ||
| 65 | M Time | Time zones | ||
| 66 | M Problem solving | Read and calculate distances on a map using the formal … | ||
| 67 | M Coordinates | Describing position. | ||
| 68 | M Coordinates | Mapping and grid references | ||
| 69 | M Coordinates | Main compass points | ||
| 70 | M Problem solving | Using the metre as a formal unit to measure perimeter | ||
| 71 | M Problem solving | Using the formal unit of the centimetre to measure leng… | ||
| 72 | M Problem solving | Compare and convert formal units of measurement | ||
| 73 | M Mass | The kilogram | ||
| 74 | M Mass | The gram and net mass | ||
| 75 | M Mass | The tonne – converting units and problems | ||
| 76 | M Capacity | Converting between volume and capacity using millilitre… | ||
| 77 | M Capacity | Using the cubic cm and displacement to measure volume a… | ||
| 78 | M Capacity | The relationship between the common units of capacity, … | ||
| 79 | M Capacity | Converting between volume and capacity using kilolitres… | ||
| 80 | M Capacity | Estimate, measure and compare the capacity of container… | ||
| 81 | M Problem solving | Areas of rectangles and parallelograms | ||
| 82 | M Problem solving | Finding the area of a triangle and other composite shap… | ||
| 83 | M Problem solving | Larger areas: square metre, hectare, square kilometre. | ||
| 84 | M Problem solving | Comparing and ordering areas. | ||
| 85 | M Problem solving | Area of a trapezium. | ||
| 86 | M Problem solving | Area of a rhombus. | ||
| 87 | M Problem solving | Area of a circle. | ||
| 88 | M Volume | Introduction to volume. using the cubic centimetre as a… | ||
| 89 | M Volume | Using the cubic centimetre to measure volume. | ||
| 90 | M Volume | Introducing the formula for volume. | ||
| 91 | M Volume | Using the cubic metre to measure volume. | ||
| 92 | M Volume | Solving Problems about Volume – Part 1. | ||
| 93 | M Volume | Solving Problems about Volume – Part 2. | ||
| 94 | M Volume | Finding the volume of prisms | ||
| 95 | M Surface area | Surface area of a cube/rectangular prism. | ||
| 96 | M Surface area | Surface area of a triangular/trapezoidal prism. | ||
| 97 | M Problem solving | Problems with length. | ||
| 98 | M Problem solving | Problems with mass. | ||
| 99 | M Problem solving | Problems with area. | ||
| 100 | M Problem solving | Problems with volume/capacity. | ||
| 101 | G Triangles | Using the prefix to determine polygons | ||
| 102 | G 3D shapes | Recognise and name prisms according to spatial properti… | ||
| 103 | G 3D shapes | Recognise and name pyramids according to spatial proper… | ||
| 104 | G 3D shapes | Recognise nets for prisms, pyramids, cubes and cones | ||
| 105 | G 3D shapes | Viewing 3-D shapes. | ||
| 106 | G 3D shapes | Constructing models. | ||
| 107 | G Angles | Measure and classify angles | ||
| 108 | G Angles | Measuring angles | ||
| 109 | G Angles | Adjacent angles | ||
| 110 | G Angles | Complementary and supplementary angles | ||
| 111 | G Angles | Vertically opposite angles | ||
| 112 | G Angles | Angles at a Point. | ||
| 113 | G Angles | Parallel Lines. | ||
| 114 | G Angles | Additional questions involving parallel lines | ||
| 115 | G Angles | Angle sum of a triangle | ||
| 116 | G Angles | Exterior angle theorem | ||
| 117 | G Angles | To determine angle labelling rules, naming angles accor… | ||
| 118 | G Angles | More difficult exercises involving parallel lines | ||
| 119 | AS Series and sequences | Further difficult exercises involving formal reasoning | ||
| 120 | G Angles | Angles of regular polygons | ||
| 121 | G Angles | Complementary angle results. | ||
| 122 | G Angles | Bearings – the compass. | ||
| 123 | G Construction | Geometric constructions | ||
| 124 | G Construction | To identify collinear points, coplanar lines and points… | ||
| 125 | G Construction | Angle bisector construction and its properties (Stage 2… | ||
| 126 | G Construction | Circumcentre and incentre (Stage 2) | ||
| 127 | G Construction | Orthocentre and centroids (Stage 2) | ||
| 128 | G Construction | Constructions and loci – single condition | ||
| 129 | G Construction | Constructions and loci – multiple conditions | ||
| 130 | G Triangles | Recognise and name triangles | ||
| 131 | G Similar shapes | Similar triangles | ||
| 132 | G Similar shapes | Using similar triangles to calculate lengths | ||
| 133 | G Quadrilaterals | Midsegments of Triangles | ||
| 134 | G Triangles | Congruent triangles, Test 1 and 2 | ||
| 135 | G Triangles | Congruent triangles, Test 3 and 4 | ||
| 136 | G Triangles | Spatial properties of quadrilaterals | ||
| 137 | G Transformations | Use grids to enlarge/reduce 2D shapes | ||
| 138 | G Transformations | Transformations – reflections | ||
| 139 | G Transformations | Geometry transformations without matrices: reflection (… | ||
| 140 | G Transformations | Geometry transformations without matrices: translation … | ||
| 141 | G Transformations | Geometry transformations without matrices: rotation (St… | ||
| 142 | G Transformations | Geometry transformations without matrices: dilation or … | ||
| 143 | G Transformations | The definition and concept of combined transformations … | ||
| 144 | G Pythagoras | Find the hypotenuse | ||
| 145 | G Pythagoras | Pythagorean triples | ||
| 146 | G Pythagoras | Find the hypotenuse Part 2 | ||
| 147 | G Pythagoras | Calculating a leg of a right-angled triangle | ||
| 148 | G Pythagoras | Proofs of Pythagoras theorem | ||
| 149 | AS Series and sequences | General sequences. | ||
| 150 | AS Series and sequences | Finding Tn given Sn. | ||
| 151 | A Simplifying | Algebraic expressions. | ||
| 152 | A Simplifying | Simplifying algebraic expressions: adding like terms. | ||
| 153 | A Simplifying | Simplifying algebraic Expressions: subtracting like ter… | ||
| 154 | A Simplifying | Simplifying Algebraic expressions: combining addition a… | ||
| 155 | A Simplifying | Simplifying algebraic expressions: multiplication | ||
| 156 | A Simplifying | Simplifying algebraic expressions: division | ||
| 157 | A Simplifying | Expanding algebraic expressions: multiplication | ||
| 158 | A Simplifying | Expanding algebraic expressions: negative multiplier | ||
| 159 | A Simplifying | Expanding and simplifying algebraic expressions | ||
| 160 | A Simplifying | Simplifying algebraic fractions using the index laws. | ||
| 161 | A Inequalities | Simplifying absolute values | ||
| 162 | A Equations | Solving equations containing addition and subtraction | ||
| 163 | A Equations | Solving equations containing multiplication and divisio… | ||
| 164 | A Equations | Solving two step equations | ||
| 165 | A Equations | Solving equations containing binomial expressions | ||
| 166 | A Equations | Equations involving grouping symbols. | ||
| 167 | A Inequalities | Solving for the variable | ||
| 168 | A Factorising | Expansions leading to the difference of two squares | ||
| 169 | A Factorising | Common factor and the difference of two squares | ||
| 170 | A Factorising | Factorising quadratic trinomials [monic] – Case 2. | ||
| 171 | A Factorising | Factorising quadratic trinomials [monic] – Case 3. | ||
| 172 | A Factorising | Factorising quadratic trinomials [monic] – Case 4. | ||
| 173 | A Simplifying | Substitution into algebraic expressions. | ||
| 174 | A Formulae | Equations resulting from substitution into formulae. | ||
| 175 | A Formulae | Changing the subject of the formula. | ||
| 176 | A Inequalities | Solving Inequalities. | ||
| 177 | A Inequalities | Solving and graphing inequalities | ||
| 178 | A Inequalities | Inequalities on the number plane. | ||
| 179 | S Scatter diagrams | The range. | ||
| 180 | S Probability | The mode | ||
| 181 | S Probability | The mean | ||
| 182 | S Probability | The median | ||
| 183 | S Probability | Calculating the median from a frequency distribution | ||
| 184 | S Averages | Calculating mean, mode and median from grouped data | ||
| 185 | S Pie charts | Bar Charts | ||
| 186 | S Pie charts | Line graphs. | ||
| 187 | S Pie charts | Pictograms | ||
| 188 | S Pie charts | Pie and bar graphs. | ||
| 189 | S Scatter diagrams | Scatter Diagrams | ||
| 190 | S Scatter diagrams | Stem and Leaf Plots along with Box and Whisker Plots | ||
| 191 | P Scatter diagrams | Frequency distribution table | ||
| 192 | P Scatter diagrams | Relative frequency | ||
| 193 | P Probability | Probability of Simple Events | ||
| 194 | P Probability | Rolling a pair of dice | ||
| 195 | P Probability | Experimental probability | ||
| 196 | P Probability | Tree diagrams – not depending on previous outcomes | ||
| 197 | P Probability | Tree diagrams – depending on previous outcomes | ||
| 198 | End of Course Assessment | End of Course Assessment |
Other courses in this curriculum
- KS2 - Year 4 Mathematics - Wales
- KS2 - Year 5 Mathematics - Wales
- KS2 - Year 6 Mathematics - Wales
- KS3 - Year 7 Mathematics - Wales
- KS3 - Year 8 Mathematics - Wales
- KS3 - Year 9 Mathematics - Wales
- KS4 - Higher Mathematics - Wales
- KS5 - Core Mathematics - Wales
- KS5 - Statistics Mathematics - Wales
- OCR - GCSE Revision Foundation Mathematics - Wales
- OCR - GCSE Revision Higher Mathematics - Wales
- WJEC - GCSE Revision Foundation Mathematics - Wales
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