| id,name,canonical_name,stage,subject,exam_boards,spec_ref,difficulty,tier | |
| 1,Number,Number,KS4,maths,AQA,3.1,6,both | |
| 2,Structure and calculation,Structure and calculation,KS4,maths,AQA,3.1.1,6,both | |
| 3,"Order positive and negative integers, decimals and fractions","Order positive and negative integers, decimals and fractions",KS4,maths,"AQA,Edexcel",N1,6,both | |
| 4,"Apply the four operations, including formal written methods, to integers","Apply the four operations, including formal written methods, to integers",KS4,maths,"AQA,Edexcel",N2,6,both | |
| 5,"Recognise and use relationships between operations, including inverse operations","Recognise and use relationships between operations, including inverse operations",KS4,maths,"AQA,Edexcel",N3,6,both | |
| 6,"Use the concepts and vocabulary of prime numbers, factors (divisors), multiples","Use the concepts and vocabulary of prime numbers, factors (divisors), multiples",KS4,maths,"AQA,Edexcel",N4,6,both | |
| 7,Apply systematic listing strategies including use of the product rule for counting,Apply systematic listing strategies including use of the product rule for counting,KS4,maths,"AQA,Edexcel",N5,6,both | |
| 8,Use positive integer powers and associated real roots (square,Use positive integer powers and associated real roots (square,KS4,maths,"AQA,Edexcel",N6,6,both | |
| 9,"Calculate with roots, and with integer indices calculate with fractional indices","Calculate with roots, and with integer indices calculate with fractional indices",KS4,maths,"AQA,Edexcel",N7,6,both | |
| 10,Calculate exactly with fractions calculate exactly with multiples,Calculate exactly with fractions calculate exactly with multiples,KS4,maths,"AQA,Edexcel",N8,6,both | |
| 11,Calculate with and interpret standard form,Calculate with and interpret standard form,KS4,maths,"AQA,Edexcel",N9,6,both | |
| 12,"Fractions, decimals and percentages","Fractions, decimals and percentages",KS4,maths,AQA,3.1.2,6,both | |
| 13,Work interchangeably with terminating decimals and their corresponding fractions (such as,Work interchangeably with terminating decimals and their corresponding fractions (such as,KS4,maths,"AQA,Edexcel",N10,6,both | |
| 14,Identify and work with fractions in ratio problems,Identify and work with fractions in ratio problems,KS4,maths,"AQA,Edexcel",N11,6,both | |
| 15,Interpret fractions and percentages as operators,Interpret fractions and percentages as operators,KS4,maths,"AQA,Edexcel",N12,6,both | |
| 16,"Use standard units of mass, length, time, money and other measures","Use standard units of mass, length, time, money and other measures",KS4,maths,"AQA,Edexcel",N13,6,both | |
| 17,Estimate answers,Estimate answers,KS4,maths,"AQA,Edexcel",N14,6,both | |
| 18,Round numbers and measures to an appropriate degree of accuracy,Round numbers and measures to an appropriate degree of accuracy,KS4,maths,"AQA,Edexcel",N15,6,both | |
| 19,Apply and interpret limits of accuracy including upper and lower bounds,Apply and interpret limits of accuracy including upper and lower bounds,KS4,maths,"AQA,Edexcel",N16,6,both | |
| 20,Algebra,Algebra,KS4,maths,AQA,3.2,6,both | |
| 21,"Notation, vocabulary and manipulation","Notation, vocabulary and manipulation",KS4,maths,AQA,3.2.1,6,both | |
| 22,Use and interpret algebraic notation,Use and interpret algebraic notation,KS4,maths,"AQA,Edexcel",A1,6,both | |
| 23,"Substitute numerical values into formulae and expressions, including scientific formulae","Substitute numerical values into formulae and expressions, including scientific formulae",KS4,maths,"AQA,Edexcel",A2,6,both | |
| 24,"Understand and use the concepts and vocabulary of expressions, equations","Understand and use the concepts and vocabulary of expressions, equations",KS4,maths,"AQA,Edexcel",A3,6,both | |
| 25,Simplify and manipulate algebraic expressions,Simplify and manipulate algebraic expressions,KS4,maths,"AQA,Edexcel",A4,6,both | |
| 26,Understand and use standard mathematical formulae,Understand and use standard mathematical formulae,KS4,maths,"AQA,Edexcel",A5,6,both | |
| 27,Know the difference between an equation and an identity,Know the difference between an equation and an identity,KS4,maths,"AQA,Edexcel",A6,6,both | |
| 28,"Where appropriate, interpret simple expressions as functions with inputs and outputs","Where appropriate, interpret simple expressions as functions with inputs and outputs",KS4,maths,"AQA,Edexcel",A7,6,both | |
| 29,Graphs,Graphs,KS4,maths,AQA,3.2.2,6,both | |
| 30,Work with coordinates in all four quadrants,Work with coordinates in all four quadrants,KS4,maths,"AQA,Edexcel",A8,6,both | |
| 31,Plot graphs of equations that correspond to straight-line graphs in the coordinate plane,Plot graphs of equations that correspond to straight-line graphs in the coordinate plane,KS4,maths,"AQA,Edexcel",A9,6,both | |
| 32,Identify and interpret gradients and intercepts of linear functions graphically,Identify and interpret gradients and intercepts of linear functions graphically,KS4,maths,"AQA,Edexcel",A10,6,both | |
| 33,"Identify and interpret roots, intercepts and turning points of quadratic functions","Identify and interpret roots, intercepts and turning points of quadratic functions",KS4,maths,"AQA,Edexcel",A11,6,both | |
| 34,"Recognise, sketch and interpret graphs of linear functions and quadratic functions","Recognise, sketch and interpret graphs of linear functions and quadratic functions",KS4,maths,"AQA,Edexcel",A12,6,both | |
| 35,Sketch translations and reflections of a given function,Sketch translations and reflections of a given function,KS4,maths,"AQA,Edexcel",A13,7,higher | |
| 36,"Plot and interpret graphs, and graphs of non-standard functions in real contexts","Plot and interpret graphs, and graphs of non-standard functions in real contexts",KS4,maths,"AQA,Edexcel",A14,6,both | |
| 37,Calculate or estimate gradients of graphs and areas under graphs,Calculate or estimate gradients of graphs and areas under graphs,KS4,maths,"AQA,Edexcel",A15,7,higher | |
| 38,Recognise and use the equation of a circle with centre at the origin,Recognise and use the equation of a circle with centre at the origin,KS4,maths,"AQA,Edexcel",A16,7,higher | |
| 39,Solving equations and inequalities,Solving equations and inequalities,KS4,maths,AQA,3.2.3,6,both | |
| 40,Solve linear equations in one unknown algebraically,Solve linear equations in one unknown algebraically,KS4,maths,"AQA,Edexcel",A17,6,both | |
| 41,Solve quadratic equations algebraically by factorising including those that require,Solve quadratic equations algebraically by factorising including those that require,KS4,maths,"AQA,Edexcel",A18,6,both | |
| 42,Solve two simultaneous equations in two variables (linear/linear) algebraically,Solve two simultaneous equations in two variables (linear/linear) algebraically,KS4,maths,"AQA,Edexcel",A19,6,both | |
| 43,Find approximate solutions to equations numerically using iteration,Find approximate solutions to equations numerically using iteration,KS4,maths,"AQA,Edexcel",A20,7,higher | |
| 44,Translate simple situations or procedures into algebraic expressions or formulae,Translate simple situations or procedures into algebraic expressions or formulae,KS4,maths,"AQA,Edexcel",A21,6,both | |
| 45,Solve linear inequalities in one variable solve linear inequalities in one or two,Solve linear inequalities in one variable solve linear inequalities in one or two,KS4,maths,"AQA,Edexcel",A22,6,both | |
| 46,Sequences,Sequences,KS4,maths,AQA,3.2.4,6,both | |
| 47,Generate terms of a sequence from either a term-to-term or a position-to-term rule,Generate terms of a sequence from either a term-to-term or a position-to-term rule,KS4,maths,"AQA,Edexcel",A23,6,both | |
| 48,Recognise and use sequences of triangular,Recognise and use sequences of triangular,KS4,maths,"AQA,Edexcel",A24,6,both | |
| 49,Deduce expressions to calculate the nth term of linear sequences including quadratic,Deduce expressions to calculate the nth term of linear sequences including quadratic,KS4,maths,"AQA,Edexcel",A25,6,both | |
| 50,"Ratio, proportion and rates of change","Ratio, proportion and rates of change",KS4,maths,AQA,3.3,6,both | |
| 51,Change freely between related standard units,Change freely between related standard units,KS4,maths,"AQA,Edexcel",R1,6,both | |
| 52,"Use scale factors, scale diagrams and maps","Use scale factors, scale diagrams and maps",KS4,maths,"AQA,Edexcel",R2,6,both | |
| 53,Express one quantity as a fraction of another,Express one quantity as a fraction of another,KS4,maths,"AQA,Edexcel",R3,6,both | |
| 54,"Use ratio notation, including reduction to simplest form","Use ratio notation, including reduction to simplest form",KS4,maths,"AQA,Edexcel",R4,6,both | |
| 55,Divide a given quantity into two parts in a given part,Divide a given quantity into two parts in a given part,KS4,maths,"AQA,Edexcel",R5,6,both | |
| 56,Express a multiplicative relationship between two quantities as a ratio or a fraction,Express a multiplicative relationship between two quantities as a ratio or a fraction,KS4,maths,"AQA,Edexcel",R6,6,both | |
| 57,Understand and use proportion as equality of ratios,Understand and use proportion as equality of ratios,KS4,maths,"AQA,Edexcel",R7,6,both | |
| 58,Relate ratios to fractions and to linear functions,Relate ratios to fractions and to linear functions,KS4,maths,"AQA,Edexcel",R8,6,both | |
| 59,Define percentage as ‘number of parts per hundred’,Define percentage as ‘number of parts per hundred’,KS4,maths,"AQA,Edexcel",R9,6,both | |
| 60,Solve problems involving direct and inverse proportion,Solve problems involving direct and inverse proportion,KS4,maths,"AQA,Edexcel",R10,6,both | |
| 61,"Use compound units such as speed, rates of pay","Use compound units such as speed, rates of pay",KS4,maths,"AQA,Edexcel",R11,6,both | |
| 62,"Compare lengths, areas and volumes using ratio notation","Compare lengths, areas and volumes using ratio notation",KS4,maths,"AQA,Edexcel",R12,6,both | |
| 63,Understand that X is inversely proportional to Y is equivalent,Understand that X is inversely proportional to Y is equivalent,KS4,maths,"AQA,Edexcel",R13,6,both | |
| 64,Interpret the gradient of a straight-line graph as a rate of change,Interpret the gradient of a straight-line graph as a rate of change,KS4,maths,"AQA,Edexcel",R14,6,both | |
| 65,Interpret the gradient at a point on a curve as the instantaneous rate of change,Interpret the gradient at a point on a curve as the instantaneous rate of change,KS4,maths,"AQA,Edexcel",R15,7,higher | |
| 66,"Set up, solve and interpret the answers in growth and decay problems","Set up, solve and interpret the answers in growth and decay problems",KS4,maths,"AQA,Edexcel",R16,6,both | |
| 67,Geometry and measures,Geometry and measures,KS4,maths,AQA,3.4,6,both | |
| 68,Properties and constructions,Properties and constructions,KS4,maths,AQA,3.4.1,6,both | |
| 69,Use conventional terms and notations,Use conventional terms and notations,KS4,maths,"AQA,Edexcel",G1,6,both | |
| 70,Use the standard ruler and compass constructions (perpendicular bisector of a line,Use the standard ruler and compass constructions (perpendicular bisector of a line,KS4,maths,"AQA,Edexcel",G2,6,both | |
| 71,Apply the properties of angles at a point,Apply the properties of angles at a point,KS4,maths,"AQA,Edexcel",G3,6,both | |
| 72,Derive and apply the properties and definitions,Derive and apply the properties and definitions,KS4,maths,"AQA,Edexcel",G4,6,both | |
| 73,"Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)","Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)",KS4,maths,"AQA,Edexcel",G5,6,both | |
| 74,"Apply angle facts, triangle congruence","Apply angle facts, triangle congruence",KS4,maths,"AQA,Edexcel",G6,6,both | |
| 75,"Identify, describe and construct congruent and similar shapes","Identify, describe and construct congruent and similar shapes",KS4,maths,"AQA,Edexcel",G7,6,both | |
| 76,Describe the changes and invariance achieved by combinations of rotations,Describe the changes and invariance achieved by combinations of rotations,KS4,maths,"AQA,Edexcel",G8,7,higher | |
| 77,Identify and apply circle definitions and properties,Identify and apply circle definitions and properties,KS4,maths,"AQA,Edexcel",G9,6,both | |
| 78,"Apply and prove the standard circle theorems concerning angles, radii","Apply and prove the standard circle theorems concerning angles, radii",KS4,maths,"AQA,Edexcel",G10,7,higher | |
| 79,Solve geometrical problems on coordinate axes,Solve geometrical problems on coordinate axes,KS4,maths,"AQA,Edexcel",G11,6,both | |
| 80,"Identify properties of the faces, surfaces, edges and vertices","Identify properties of the faces, surfaces, edges and vertices",KS4,maths,"AQA,Edexcel",G12,6,both | |
| 81,Interpret plans and elevations of 3D shapes construct and interpret plans and elevations,Interpret plans and elevations of 3D shapes construct and interpret plans and elevations,KS4,maths,"AQA,Edexcel",G13,6,both | |
| 82,Mensuration and calculation,Mensuration and calculation,KS4,maths,AQA,3.4.2,6,both | |
| 83,"Use standard units of measure and related concepts (length, area, volume/capacity","Use standard units of measure and related concepts (length, area, volume/capacity",KS4,maths,"AQA,Edexcel",G14,6,both | |
| 84,Measure line segments and angles in geometric figures,Measure line segments and angles in geometric figures,KS4,maths,"AQA,Edexcel",G15,6,both | |
| 85,Know and apply formulae to calculate,Know and apply formulae to calculate,KS4,maths,"AQA,Edexcel",G16,6,both | |
| 86,Know the formulae: circumference of a circle,Know the formulae: circumference of a circle,KS4,maths,"AQA,Edexcel",G17,6,both | |
| 87,"Calculate arc lengths, angles and areas of sectors of circles","Calculate arc lengths, angles and areas of sectors of circles",KS4,maths,"AQA,Edexcel",G18,6,both | |
| 88,Apply the concepts of congruence and similarity,Apply the concepts of congruence and similarity,KS4,maths,"AQA,Edexcel",G19,6,both | |
| 89,Know the formulae,Know the formulae,KS4,maths,"AQA,Edexcel",G20,6,both | |
| 90,Know the exact values of sin and cos,Know the exact values of sin and cos,KS4,maths,"AQA,Edexcel",G21,6,both | |
| 91,Know and apply the sine rule,Know and apply the sine rule,KS4,maths,"AQA,Edexcel",G22,6,both | |
| 92,Know and apply,Know and apply,KS4,maths,"AQA,Edexcel",G23,7,higher | |
| 93,Vectors,Vectors,KS4,maths,AQA,3.4.3,6,both | |
| 94,Describe translations as 2D vectors,Describe translations as 2D vectors,KS4,maths,"AQA,Edexcel",G24,6,both | |
| 95,"Apply addition and subtraction of vectors, multiplication of vectors by a scalar","Apply addition and subtraction of vectors, multiplication of vectors by a scalar",KS4,maths,"AQA,Edexcel",G25,6,both | |
| 96,Probability,Probability,KS4,maths,AQA,3.5,6,both | |
| 97,"Record, describe and analyse the frequency of outcomes of probability experiments using","Record, describe and analyse the frequency of outcomes of probability experiments using",KS4,maths,"AQA,Edexcel",P1,6,both | |
| 98,"Apply ideas of randomness, fairness and equally likely events to calculate expected","Apply ideas of randomness, fairness and equally likely events to calculate expected",KS4,maths,"AQA,Edexcel",P2,6,both | |
| 99,Relate relative expected frequencies to theoretical probability,Relate relative expected frequencies to theoretical probability,KS4,maths,"AQA,Edexcel",P3,6,both | |
| 100,Apply the property that the probabilities of an exhaustive set of outcomes sum to 1,Apply the property that the probabilities of an exhaustive set of outcomes sum to 1,KS4,maths,"AQA,Edexcel",P4,6,both | |
| 101,Understand that empirical unbiased samples tend towards theoretical probability,Understand that empirical unbiased samples tend towards theoretical probability,KS4,maths,"AQA,Edexcel",P5,6,both | |
| 102,"Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams","Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams",KS4,maths,"AQA,Edexcel",P6,6,both | |
| 103,Construct theoretical possibility spaces for single and combined experiments with equally,Construct theoretical possibility spaces for single and combined experiments with equally,KS4,maths,"AQA,Edexcel",P7,6,both | |
| 104,Calculate the probability of independent and dependent combined events,Calculate the probability of independent and dependent combined events,KS4,maths,"AQA,Edexcel",P8,6,both | |
| 105,Calculate and interpret conditional probabilities through representation using expected,Calculate and interpret conditional probabilities through representation using expected,KS4,maths,"AQA,Edexcel",P9,6,both | |
| 106,Statistics,Statistics,KS4,maths,AQA,3.6,6,both | |
| 107,Infer properties of populations or distributions from a sample,Infer properties of populations or distributions from a sample,KS4,maths,"AQA,Edexcel",S1,6,both | |
| 108,"Interpret and construct tables, charts and diagrams, including frequency tables","Interpret and construct tables, charts and diagrams, including frequency tables",KS4,maths,"AQA,Edexcel",S2,6,both | |
| 109,Construct and interpret diagrams for grouped discrete data and continuous data,Construct and interpret diagrams for grouped discrete data and continuous data,KS4,maths,"AQA,Edexcel",S3,6,both | |
| 110,"Interpret, analyse and compare the distributions of data sets from univariate empirical","Interpret, analyse and compare the distributions of data sets from univariate empirical",KS4,maths,"AQA,Edexcel",S4,6,both | |
| 111,Apply statistics to describe a population,Apply statistics to describe a population,KS4,maths,"AQA,Edexcel",S5,6,both | |
| 112,Use and interpret scatter graphs of bivariate data,Use and interpret scatter graphs of bivariate data,KS4,maths,"AQA,Edexcel",S6,6,both | |
| 113,Number,Number,KS4,maths,Edexcel,1,6,both | |
| 114,Structure and calculation,Structure and calculation,KS4,maths,Edexcel,1.1,6,both | |
| 115,"Fractions, decimals and percentages","Fractions, decimals and percentages",KS4,maths,Edexcel,1.2,6,both | |
| 116,Measures and accuracy,Measures and accuracy,KS4,maths,Edexcel,1.3,6,both | |
| 117,Algebra,Algebra,KS4,maths,Edexcel,2,6,both | |
| 118,"Notation, vocabulary and manipulation","Notation, vocabulary and manipulation",KS4,maths,Edexcel,2.1,6,both | |
| 119,Graphs,Graphs,KS4,maths,Edexcel,2.2,6,both | |
| 120,Solving equations and inequalities,Solving equations and inequalities,KS4,maths,Edexcel,2.3,6,both | |
| 121,Sequences,Sequences,KS4,maths,Edexcel,2.4,6,both | |
| 122,"Ratio, proportion and rates of change","Ratio, proportion and rates of change",KS4,maths,Edexcel,3,6,both | |
| 123,Geometry and measures,Geometry and measures,KS4,maths,Edexcel,4,6,both | |
| 124,Properties and constructions,Properties and constructions,KS4,maths,Edexcel,4.1,6,both | |
| 125,Mensuration and calculation,Mensuration and calculation,KS4,maths,Edexcel,4.2,6,both | |
| 126,Vectors,Vectors,KS4,maths,Edexcel,4.3,6,both | |
| 127,Probability,Probability,KS4,maths,Edexcel,5,6,both | |
| 128,Statistics,Statistics,KS4,maths,Edexcel,6,6,both | |
| 129,Number Operations and Integers,Number Operations and Integers,KS4,maths,OCR,1,6,both | |
| 130,Calculations with integers,Calculations with integers,KS4,maths,OCR,1.01,6,both | |
| 131,Four rules,Four rules,KS4,maths,OCR,1.01a,6,both | |
| 132,Whole number theory,Whole number theory,KS4,maths,OCR,1.02,6,both | |
| 133,Definitions and terms,Definitions and terms,KS4,maths,OCR,1.02a,6,both | |
| 134,Prime numbers,Prime numbers,KS4,maths,OCR,1.02b,6,both | |
| 135,Highest Common Factor (HCF) and,Highest Common Factor (HCF) and,KS4,maths,OCR,1.02c,6,both | |
| 136,Combining arithmetic operations,Combining arithmetic operations,KS4,maths,OCR,1.03,6,both | |
| 137,Priority of operations,Priority of operations,KS4,maths,OCR,1.03a,6,both | |
| 138,Inverse operations,Inverse operations,KS4,maths,OCR,1.04,6,both | |
| 139,Inverse operations,Inverse operations,KS4,maths,OCR,1.04a,6,both | |
| 140,"Fractions, Decimals and Percentages","Fractions, decimals and percentages",KS4,maths,OCR,2,6,both | |
| 141,Fractions,Fractions,KS4,maths,OCR,2.01,6,both | |
| 142,Equivalent fractions,Equivalent fractions,KS4,maths,OCR,2.01a,6,both | |
| 143,Calculations with fractions,Calculations with fractions,KS4,maths,OCR,2.01b,6,both | |
| 144,Fractions of a quantity,Fractions of a quantity,KS4,maths,OCR,2.01c,6,both | |
| 145,Decimal fractions,Decimal fractions,KS4,maths,OCR,2.02,6,both | |
| 146,Decimals and fractions,Decimals and fractions,KS4,maths,OCR,2.02a,6,both | |
| 147,"Addition, subtraction and multiplication","Addition, subtraction and multiplication",KS4,maths,OCR,2.02b,6,both | |
| 148,Division of decimals,Division of decimals,KS4,maths,OCR,2.02c,6,both | |
| 149,Percentages,Percentages,KS4,maths,OCR,2.03,6,both | |
| 150,Percentage conversions,Percentage conversions,KS4,maths,OCR,2.03a,6,both | |
| 151,Percentage calculations,Percentage calculations,KS4,maths,OCR,2.03b,6,both | |
| 152,Percentage change,Percentage change,KS4,maths,OCR,2.03c,6,both | |
| 153,"Ordering fractions, decimals and percentages","Fractions, decimals and percentages",KS4,maths,OCR,2.04,6,both | |
| 154,Ordinality,Ordinality,KS4,maths,OCR,2.04a,6,both | |
| 155,Symbols,Symbols,KS4,maths,OCR,2.04b,6,both | |
| 156,Indices and Surds,Indices and Surds,KS4,maths,OCR,3,6,both | |
| 157,Powers and roots,Powers and roots,KS4,maths,OCR,3.01,6,both | |
| 158,Index notation,Index notation,KS4,maths,OCR,3.01a,6,both | |
| 159,Calculation and estimation of powers,Calculation and estimation of powers,KS4,maths,OCR,3.01b,6,both | |
| 160,Laws of indices,Laws of indices,KS4,maths,OCR,3.01c,6,both | |
| 161,Standard form,Standard form,KS4,maths,OCR,3.02,6,both | |
| 162,Standard form,Standard form,KS4,maths,OCR,3.02a,6,both | |
| 163,Calculations with numbers in standard,Calculations with numbers in standard,KS4,maths,OCR,3.02b,6,both | |
| 164,Exact calculations,Exact calculations,KS4,maths,OCR,3.03,6,both | |
| 165,Exact calculations,Exact calculations,KS4,maths,OCR,3.03a,6,both | |
| 166,Manipulating surds,Manipulating surds,KS4,maths,OCR,3.03b,7,higher | |
| 167,Approximation and Estimation,Approximation and Estimation,KS4,maths,OCR,4,6,both | |
| 168,Approximation and estimation,Approximation and estimation,KS4,maths,OCR,4.01,6,both | |
| 169,Rounding,Rounding,KS4,maths,OCR,4.01a,6,both | |
| 170,Estimation,Estimation,KS4,maths,OCR,4.01b,6,both | |
| 171,Upper and lower bounds,Upper and lower bounds,KS4,maths,OCR,4.01c,6,both | |
| 172,"Ratio, Proportion and Rates Of Change","Ratio, proportion and rates of change",KS4,maths,OCR,5,6,both | |
| 173,Calculations with ratio,Calculations with ratio,KS4,maths,OCR,5.01,6,both | |
| 174,Equivalent ratios,Equivalent ratios,KS4,maths,OCR,5.01a,6,both | |
| 175,Division in a given ratio,Division in a given ratio,KS4,maths,OCR,5.01b,6,both | |
| 176,Ratios and fractions,Ratios and fractions,KS4,maths,OCR,5.01c,6,both | |
| 177,Solve ratio and proportion problems,Solve ratio and proportion problems,KS4,maths,OCR,5.01d,6,both | |
| 178,Direct and inverse proportion,Direct and inverse proportion,KS4,maths,OCR,5.02,6,both | |
| 179,Direct proportion,Direct proportion,KS4,maths,OCR,5.02a,6,both | |
| 180,Inverse proportion,Inverse proportion,KS4,maths,OCR,5.02b,6,both | |
| 181,Discrete growth and decay,Discrete growth and decay,KS4,maths,OCR,5.03,6,both | |
| 182,Growth and decay,Growth and decay,KS4,maths,OCR,5.03a,6,both | |
| 183,Algebra,Algebra,KS4,maths,OCR,6,6,both | |
| 184,Algebraic expressions,Algebraic expressions,KS4,maths,OCR,6.01,6,both | |
| 185,Algebraic terminology and proofs,Algebraic terminology and proofs,KS4,maths,OCR,6.01a,6,both | |
| 186,Collecting like terms in sums and,Collecting like terms in sums and,KS4,maths,OCR,6.01b,6,both | |
| 187,Simplifying products and quotients,Simplifying products and quotients,KS4,maths,OCR,6.01c,6,both | |
| 188,Multiplying out brackets,Multiplying out brackets,KS4,maths,OCR,6.01d,6,both | |
| 189,Factorising,Factorising,KS4,maths,OCR,6.01e,6,both | |
| 190,Completing the square,Completing the square,KS4,maths,OCR,6.01f,7,higher | |
| 191,Algebraic fractions,Algebraic fractions,KS4,maths,OCR,6.01g,7,higher | |
| 192,Algebraic formulae,Algebraic formulae,KS4,maths,OCR,6.02,6,both | |
| 193,Formulate algebraic expressions,Formulate algebraic expressions,KS4,maths,OCR,6.02a,6,both | |
| 194,Substitute numerical values into,Substitute numerical values into,KS4,maths,OCR,6.02b,6,both | |
| 195,Change the subject of a formula,Change the subject of a formula,KS4,maths,OCR,6.02c,6,both | |
| 196,Recall and use standard formulae,Recall and use standard formulae,KS4,maths,OCR,6.02d,6,both | |
| 197,Use kinematics formulae,Use kinematics formulae,KS4,maths,OCR,6.02e,6,both | |
| 198,Algebraic equations,Algebraic equations,KS4,maths,OCR,6.03,6,both | |
| 199,Linear equations in one unknown,Linear equations in one unknown,KS4,maths,OCR,6.03a,6,both | |
| 200,Quadratic equations,Quadratic equations,KS4,maths,OCR,6.03b,6,both | |
| 201,Simultaneous equations,Simultaneous equations,KS4,maths,OCR,6.03c,6,both | |
| 202,Approximate solutions using a graph,Approximate solutions using a graph,KS4,maths,OCR,6.03d,6,both | |
| 203,Approximate solutions by iteration,Approximate solutions by iteration,KS4,maths,OCR,6.03e,6,both | |
| 204,Algebraic inequalities,Algebraic inequalities,KS4,maths,OCR,6.04,6,both | |
| 205,Inequalities in one variable,Inequalities in one variable,KS4,maths,OCR,6.04a,6,both | |
| 206,Inequalities in two variables,Inequalities in two variables,KS4,maths,OCR,6.04b,7,higher | |
| 207,Language of functions,Language of functions,KS4,maths,OCR,6.05,6,both | |
| 208,Functions,Functions,KS4,maths,OCR,6.05a,6,both | |
| 209,Sequences,Sequences,KS4,maths,OCR,6.06,6,both | |
| 210,Generate terms of a sequence,Generate terms of a sequence,KS4,maths,OCR,6.06a,6,both | |
| 211,Special sequences,Special sequences,KS4,maths,OCR,6.06b,6,both | |
| 212,Graphs of Equations and Functions,Graphs of Equations and Functions,KS4,maths,OCR,7,6,both | |
| 213,Graphs of equations and functions,Graphs of equations and functions,KS4,maths,OCR,7.01,6,both | |
| 214,x- and y-coordinates,x- and y-coordinates,KS4,maths,OCR,7.01a,6,both | |
| 215,Graphs of equations and functions,Graphs of equations and functions,KS4,maths,OCR,7.01b,6,both | |
| 216,Polynomial and reciprocal functions,Polynomial and reciprocal functions,KS4,maths,OCR,7.01c,6,both | |
| 217,Exponential functions,Exponential functions,KS4,maths,OCR,7.01d,7,higher | |
| 218,Trigonometric functions,Trigonometric functions,KS4,maths,OCR,7.01e,7,higher | |
| 219,Equations of circles,Equations of circles,KS4,maths,OCR,7.01f,7,higher | |
| 220,Straight line graphs,Straight line graphs,KS4,maths,OCR,7.02,6,both | |
| 221,Straight line graphs,Straight line graphs,KS4,maths,OCR,7.02a,6,both | |
| 222,Parallel and perpendicular lines,Parallel and perpendicular lines,KS4,maths,OCR,7.02b,6,both | |
| 223,Transformations of curves and their equations,Transformations of curves and their equations,KS4,maths,OCR,7.03,6,both | |
| 224,Translations and reflections,Translations and reflections,KS4,maths,OCR,7.03a,7,higher | |
| 225,Interpreting graphs,Interpreting graphs,KS4,maths,OCR,7.04,6,both | |
| 226,Graphs of real-world contexts,Graphs of real-world contexts,KS4,maths,OCR,7.04a,6,both | |
| 227,Gradients,Gradients,KS4,maths,OCR,7.04b,6,both | |
| 228,Areas,Areas,KS4,maths,OCR,7.04c,6,both | |
| 229,Basic Geometry,Basic Geometry,KS4,maths,OCR,8,6,both | |
| 230,"Conventions, notation and terms","Conventions, notation and terms",KS4,maths,OCR,8.01,6,both | |
| 231,2D and 3D shapes,2D and 3D shapes,KS4,maths,OCR,8.01a,6,both | |
| 232,Angles,Angles,KS4,maths,OCR,8.01b,6,both | |
| 233,Polygons,Polygons,KS4,maths,OCR,8.01c,6,both | |
| 234,Polyhedra and other solids,Polyhedra and other solids,KS4,maths,OCR,8.01d,6,both | |
| 235,Diagrams,Diagrams,KS4,maths,OCR,8.01e,6,both | |
| 236,Geometrical instruments,Geometrical instruments,KS4,maths,OCR,8.01f,6,both | |
| 237,x- and y-coordinates,x- and y-coordinates,KS4,maths,OCR,8.01g,6,both | |
| 238,Ruler and compass constructions,Ruler and compass constructions,KS4,maths,OCR,8.02,6,both | |
| 239,Perpendicular bisector,Perpendicular bisector,KS4,maths,OCR,8.02a,6,both | |
| 240,Angle bisector,Angle bisector,KS4,maths,OCR,8.02b,6,both | |
| 241,Perpendicular from a point to a line,Perpendicular from a point to a line,KS4,maths,OCR,8.02c,6,both | |
| 242,Loci,Loci,KS4,maths,OCR,8.02d,6,both | |
| 243,Angles,Angles,KS4,maths,OCR,8.03,6,both | |
| 244,Angles at a point,Angles at a point,KS4,maths,OCR,8.03a,6,both | |
| 245,Angles on a line,Angles on a line,KS4,maths,OCR,8.03b,6,both | |
| 246,Angles between intersecting and parallel,Angles between intersecting and parallel,KS4,maths,OCR,8.03c,6,both | |
| 247,Angles in polygons,Angles in polygons,KS4,maths,OCR,8.03d,6,both | |
| 248,Properties of polygons,Properties of polygons,KS4,maths,OCR,8.04,6,both | |
| 249,Properties of a triangle,Properties of a triangle,KS4,maths,OCR,8.04a,6,both | |
| 250,Properties of quadrilaterals,Properties of quadrilaterals,KS4,maths,OCR,8.04b,6,both | |
| 251,Symmetry,Symmetry,KS4,maths,OCR,8.04c,6,both | |
| 252,Circles,Circles,KS4,maths,OCR,8.05,6,both | |
| 253,Circle nomenclature,Circle nomenclature,KS4,maths,OCR,8.05a,6,both | |
| 254,Angles subtended at centre and,Angles subtended at centre and,KS4,maths,OCR,8.05b,7,higher | |
| 255,Angle in a semicircle,Angle in a semicircle,KS4,maths,OCR,8.05c,7,higher | |
| 256,Angles in the same segment,Angles in the same segment,KS4,maths,OCR,8.05d,7,higher | |
| 257,Angle between radius and chord,Angle between radius and chord,KS4,maths,OCR,8.05e,6,both | |
| 258,Angle between radius and tangent,Angle between radius and tangent,KS4,maths,OCR,8.05f,6,both | |
| 259,The alternate segment theorem,The alternate segment theorem,KS4,maths,OCR,8.05g,7,higher | |
| 260,Cyclic quadrilaterals,Cyclic quadrilaterals,KS4,maths,OCR,8.05h,7,higher | |
| 261,Three-dimensional shapes,Three-dimensional shapes,KS4,maths,OCR,8.06,6,both | |
| 262,3-dimensional solids,3-dimensional solids,KS4,maths,OCR,8.06a,6,both | |
| 263,Plans and elevations,Plans and elevations,KS4,maths,OCR,8.06b,6,both | |
| 264,Congruence and Similarity,Congruence and Similarity,KS4,maths,OCR,9,6,both | |
| 265,Plane isometric transformations,Plane isometric transformations,KS4,maths,OCR,9.01,6,both | |
| 266,Reflection,Reflection,KS4,maths,OCR,9.01a,6,both | |
| 267,Rotation,Rotation,KS4,maths,OCR,9.01b,6,both | |
| 268,Translation,Translation,KS4,maths,OCR,9.01c,6,both | |
| 269,Combinations of transformations,Combinations of transformations,KS4,maths,OCR,9.01d,6,both | |
| 270,Congruence,Congruence,KS4,maths,OCR,9.02,6,both | |
| 271,Congruent triangles,Congruent triangles,KS4,maths,OCR,9.02a,6,both | |
| 272,Applying congruent triangles,Applying congruent triangles,KS4,maths,OCR,9.02b,6,both | |
| 273,Plane vector geometry,Plane vector geometry,KS4,maths,OCR,9.03,6,both | |
| 274,Vector arithmetic,Vector arithmetic,KS4,maths,OCR,9.03a,6,both | |
| 275,Column vectors,Column vectors,KS4,maths,OCR,9.03b,6,both | |
| 276,Similarity,Similarity,KS4,maths,OCR,9.04,6,both | |
| 277,Similar triangles,Similar triangles,KS4,maths,OCR,9.04a,6,both | |
| 278,Enlargement,Enlargement,KS4,maths,OCR,9.04b,6,both | |
| 279,Similar shapes,Similar shapes,KS4,maths,OCR,9.04c,6,both | |
| 280,Mensuration,Mensuration,KS4,maths,OCR,10,6,both | |
| 281,Units and measurement,Units and measurement,KS4,maths,OCR,10.01,6,both | |
| 282,Units of measurement,Units of measurement,KS4,maths,OCR,10.01a,6,both | |
| 283,Compound units,Compound units,KS4,maths,OCR,10.01b,6,both | |
| 284,Maps and scale drawings,Maps and scale drawings,KS4,maths,OCR,10.01c,6,both | |
| 285,Perimeter calculations,Perimeter calculations,KS4,maths,OCR,10.02,6,both | |
| 286,Perimeter of rectilinear shapes,Perimeter of rectilinear shapes,KS4,maths,OCR,10.02a,6,both | |
| 287,Circumference of a circle,Circumference of a circle,KS4,maths,OCR,10.02b,6,both | |
| 288,Perimeter of composite shapes,Perimeter of composite shapes,KS4,maths,OCR,10.02c,6,both | |
| 289,Area calculations,Area calculations,KS4,maths,OCR,10.03,6,both | |
| 290,Area of a triangle,Area of a triangle,KS4,maths,OCR,10.03a,6,both | |
| 291,Area of a parallelogram,Area of a parallelogram,KS4,maths,OCR,10.03b,6,both | |
| 292,Area of a trapezium,Area of a trapezium,KS4,maths,OCR,10.03c,6,both | |
| 293,Area of a circle,Area of a circle,KS4,maths,OCR,10.03d,6,both | |
| 294,Area of composite shapes,Area of composite shapes,KS4,maths,OCR,10.03e,6,both | |
| 295,Volume and surface area calculations,Volume and surface area calculations,KS4,maths,OCR,10.04,6,both | |
| 296,Polyhedra,Polyhedra,KS4,maths,OCR,10.04a,6,both | |
| 297,Cones and spheres,Cones and spheres,KS4,maths,OCR,10.04b,6,both | |
| 298,Pyramids,Pyramids,KS4,maths,OCR,10.04c,6,both | |
| 299,Triangle mensuration,Triangle mensuration,KS4,maths,OCR,10.05,6,both | |
| 300,Pythagoras’ theorem,Pythagoras’ theorem,KS4,maths,OCR,10.05a,6,both | |
| 301,Trigonometry in right-angled triangles,Trigonometry in right-angled triangles,KS4,maths,OCR,10.05b,6,both | |
| 302,Exact trigonometric ratios,Exact trigonometric ratios,KS4,maths,OCR,10.05c,6,both | |
| 303,Sine rule,Sine rule,KS4,maths,OCR,10.05d,7,higher | |
| 304,Cosine rule,Cosine rule,KS4,maths,OCR,10.05e,6,both | |
| 305,Probability,Probability,KS4,maths,OCR,11,6,both | |
| 306,Basic probability and experiments,Basic probability and experiments,KS4,maths,OCR,11.01,6,both | |
| 307,The probability scale,The probability scale,KS4,maths,OCR,11.01a,6,both | |
| 308,Relative frequency,Relative frequency,KS4,maths,OCR,11.01b,6,both | |
| 309,Relative frequency and probability,Relative frequency and probability,KS4,maths,OCR,11.01c,6,both | |
| 310,Equally likely outcomes and probability,Equally likely outcomes and probability,KS4,maths,OCR,11.01d,6,both | |
| 311,Combined events and probability diagrams,Combined events and probability diagrams,KS4,maths,OCR,11.02,6,both | |
| 312,Sample spaces,Sample spaces,KS4,maths,OCR,11.02a,6,both | |
| 313,Enumeration,Enumeration,KS4,maths,OCR,11.02b,6,both | |
| 314,Venn diagrams and sets,Venn diagrams and sets,KS4,maths,OCR,11.02c,6,both | |
| 315,Tree diagrams,Tree diagrams,KS4,maths,OCR,11.02d,6,both | |
| 316,The addition law of probability,The addition law of probability,KS4,maths,OCR,11.02e,6,both | |
| 317,The multiplication law of probability and,The multiplication law of probability and,KS4,maths,OCR,11.02f,6,both | |
| 318,Statistics,Statistics,KS4,maths,OCR,12,6,both | |
| 319,Sampling,Sampling,KS4,maths,OCR,12.01,6,both | |
| 320,Populations and samples,Populations and samples,KS4,maths,OCR,12.01a,6,both | |
| 321,Interpreting and representing data,Interpreting and representing data,KS4,maths,OCR,12.02,6,both | |
| 322,Categorical and numerical data,Categorical and numerical data,KS4,maths,OCR,12.02a,6,both | |
| 323,Grouped data,Grouped data,KS4,maths,OCR,12.02b,7,higher | |
| 324,Analysing data,Analysing data,KS4,maths,OCR,12.03,6,both | |
| 325,Summary statistics,Summary statistics,KS4,maths,OCR,12.03a,6,both | |
| 326,Misrepresenting data,Misrepresenting data,KS4,maths,OCR,12.03b,6,both | |
| 327,Bivariate data,Bivariate data,KS4,maths,OCR,12.03c,6,both | |
| 328,Outliers,Outliers,KS4,maths,OCR,12.03d,6,both | |
| 329,Overarching themes,Overarching themes,KS5,maths,AQA,OT,8,both | |
| 330,Construct and present mathematical arguments through appropriate use of diagrams,Construct and present mathematical arguments through appropriate use of diagrams,KS5,maths,AQA,OT1.1,8,both | |
| 331,Understand and use mathematical language and syntax as set out in the content,Understand and use mathematical language and syntax as set out in the content,KS5,maths,AQA,OT1.2,8,both | |
| 332,Understand and use language and symbols associated with set theory,Understand and use language and symbols associated with set theory,KS5,maths,AQA,OT1.3,8,both | |
| 333,Understand and use the definition of a function,Understand and use the definition of a function,KS5,maths,AQA,OT1.4,8,both | |
| 334,Comprehend and critique mathematical arguments,Comprehend and critique mathematical arguments,KS5,maths,AQA,OT1.5,8,both | |
| 335,Recognise the underlying mathematical structure in a situation and simplify and abstract,Recognise the underlying mathematical structure in a situation and simplify and abstract,KS5,maths,AQA,OT2.1,8,both | |
| 336,Construct extended arguments to solve problems presented in an unstructured form,Construct extended arguments to solve problems presented in an unstructured form,KS5,maths,AQA,OT2.2,8,both | |
| 337,Interpret and communicate solutions in the context of the original problem,Interpret and communicate solutions in the context of the original problem,KS5,maths,AQA,OT2.3,8,both | |
| 338,Understand that many mathematical problems cannot be solved analytically,Understand that many mathematical problems cannot be solved analytically,KS5,maths,AQA,OT2.4,8,both | |
| 339,"Evaluate, including by making reasoned estimates","Evaluate, including by making reasoned estimates",KS5,maths,AQA,OT2.5,8,both | |
| 340,Understand the concept of a mathematical problem solving cycle,Understand the concept of a mathematical problem solving cycle,KS5,maths,AQA,OT2.6,8,both | |
| 341,"Understand, interpret and extract information from diagrams and construct mathematical","Understand, interpret and extract information from diagrams and construct mathematical",KS5,maths,AQA,OT2.7,8,both | |
| 342,"Translate a situation in context into a mathematical model, making simplifying assumptions","Translate a situation in context into a mathematical model, making simplifying assumptions",KS5,maths,AQA,OT3.1,8,both | |
| 343,Use a mathematical model with suitable inputs to engage with and explore situations (for,Use a mathematical model with suitable inputs to engage with and explore situations (for,KS5,maths,AQA,OT3.2,8,both | |
| 344,Interpret the outputs of a mathematical model in the context of the original situation,Interpret the outputs of a mathematical model in the context of the original situation,KS5,maths,AQA,OT3.3,8,both | |
| 345,Understand that a mathematical model can be refined by considering its outputs,Understand that a mathematical model can be refined by considering its outputs,KS5,maths,AQA,OT3.4,8,both | |
| 346,Understand and use modelling assumptions,Understand and use modelling assumptions,KS5,maths,AQA,OT3.5,8,both | |
| 347,Proof,Proof,KS5,maths,AQA,A,8,both | |
| 348,Understand and use the structure of mathematical proof,Understand and use the structure of mathematical proof,KS5,maths,AQA,A1,8,both | |
| 349,Algebra and functions,Algebra and functions,KS5,maths,AQA,B,8,both | |
| 350,Understand and use the laws of indices for all rational exponents,Understand and use the laws of indices for all rational exponents,KS5,maths,AQA,B1,8,both | |
| 351,"Use and manipulate surds, including rationalising the denominator","Use and manipulate surds, including rationalising the denominator",KS5,maths,AQA,B2,8,both | |
| 352,Work with quadratic functions and their graphs,Work with quadratic functions and their graphs,KS5,maths,AQA,B3,8,both | |
| 353,Solve simultaneous equations in two variables by elimination and by substitution,Solve simultaneous equations in two variables by elimination and by substitution,KS5,maths,AQA,B4,8,both | |
| 354,Solve linear and quadratic inequalities in a single variable and interpret such,Solve linear and quadratic inequalities in a single variable and interpret such,KS5,maths,AQA,B5,8,both | |
| 355,Manipulate polynomials algebraically,Manipulate polynomials algebraically,KS5,maths,AQA,B6,8,both | |
| 356,Understand and use graphs of functions,Understand and use graphs of functions,KS5,maths,AQA,B7,8,both | |
| 357,Understand and use composite functions,Understand and use composite functions,KS5,maths,AQA,B8,8,both | |
| 358,Understand the effect of simple transformations on the graph,Understand the effect of simple transformations on the graph,KS5,maths,AQA,B9,8,both | |
| 359,Decompose rational functions into partial fractions (denominators not more complicated,Decompose rational functions into partial fractions (denominators not more complicated,KS5,maths,AQA,B10,8,both | |
| 360,"Use of functions in modelling, including consideration of limitations and refinements","Use of functions in modelling, including consideration of limitations and refinements",KS5,maths,AQA,B11,8,both | |
| 361,Coordinate geometry in the plane,Coordinate geometry in the plane,KS5,maths,AQA,C,8,both | |
| 362,Understand and use the equation of a straight line,Understand and use the equation of a straight line,KS5,maths,AQA,C1,8,both | |
| 363,Understand and use the coordinate geometry of the circle including using the equation,Understand and use the coordinate geometry of the circle including using the equation,KS5,maths,AQA,C2,8,both | |
| 364,Understand and use the parametric equations of curves and conversion between Cartesian,Understand and use the parametric equations of curves and conversion between Cartesian,KS5,maths,AQA,C3,8,both | |
| 365,Use parametric equations in modelling in a variety of contexts,Use parametric equations in modelling in a variety of contexts,KS5,maths,AQA,C4,8,both | |
| 366,Sequences and series,Sequences and series,KS5,maths,AQA,D,8,both | |
| 367,Understand and use the binomial expansion of a + bx n for positive integer n,Understand and use the binomial expansion of a + bx n for positive integer n,KS5,maths,AQA,D1,8,both | |
| 368,Work with sequences including those given by a formula for the n th term and those,Work with sequences including those given by a formula for the n th term and those,KS5,maths,AQA,D2,8,both | |
| 369,Understand and use sigma notation for sums of series,Understand and use sigma notation for sums of series,KS5,maths,AQA,D3,8,both | |
| 370,Understand and work with arithmetic sequences and series,Understand and work with arithmetic sequences and series,KS5,maths,AQA,D4,8,both | |
| 371,Understand and work with geometric sequences and series including the formulae for the n,Understand and work with geometric sequences and series including the formulae for the n,KS5,maths,AQA,D5,8,both | |
| 372,Use sequences and series in modelling,Use sequences and series in modelling,KS5,maths,AQA,D6,8,both | |
| 373,Trigonometry,Trigonometry,KS5,maths,AQA,E,8,both | |
| 374,"Understand and use the definitions of sine, cosine and tangent for all arguments","Understand and use the definitions of sine, cosine and tangent for all arguments",KS5,maths,AQA,E1,8,both | |
| 375,Understand and use the standard small angle approximations of sine,Understand and use the standard small angle approximations of sine,KS5,maths,AQA,E2,8,both | |
| 376,"Understand and use the sine, cosine and tangent functions","Understand and use the sine, cosine and tangent functions",KS5,maths,AQA,E3,8,both | |
| 377,Understand and use the definitions of secant,Understand and use the definitions of secant,KS5,maths,AQA,E4,8,both | |
| 378,Understand and use tan≡sin cos Understand and use sin2+ cos2≡1,Understand and use tan≡sin cos Understand and use sin2+ cos2≡1,KS5,maths,AQA,E5,8,both | |
| 379,Understand and use double angle formulae,Understand and use double angle formulae,KS5,maths,AQA,E6,8,both | |
| 380,Solve simple trigonometric equations in a given interval,Solve simple trigonometric equations in a given interval,KS5,maths,AQA,E7,8,both | |
| 381,Construct proofs involving trigonometric functions and identities,Construct proofs involving trigonometric functions and identities,KS5,maths,AQA,E8,8,both | |
| 382,Use trigonometric functions to solve problems in context,Use trigonometric functions to solve problems in context,KS5,maths,AQA,E9,8,both | |
| 383,Exponentials and logarithms,Exponentials and logarithms,KS5,maths,AQA,F,8,both | |
| 384,"Know and use the function ax and its graph, where a is positive","Know and use the function ax and its graph, where a is positive",KS5,maths,AQA,F1,8,both | |
| 385,Know that the gradient of ekx is equal to kekx and hence understand why the exponential,Know that the gradient of ekx is equal to kekx and hence understand why the exponential,KS5,maths,AQA,F2,8,both | |
| 386,Know and use the definition of loga x as the inverse of ax,Know and use the definition of loga x as the inverse of ax,KS5,maths,AQA,F3,8,both | |
| 387,Understand and use the laws of logarithms,Understand and use the laws of logarithms,KS5,maths,AQA,F4,8,both | |
| 388,Solve equations of the form ax = b,Solve equations of the form ax = b,KS5,maths,AQA,F5,8,both | |
| 389,Use logarithmic graphs to estimate parameters in relationships of the form y = axn and y,Use logarithmic graphs to estimate parameters in relationships of the form y = axn and y,KS5,maths,AQA,F6,8,both | |
| 390,Understand and use exponential growth and decay,Understand and use exponential growth and decay,KS5,maths,AQA,F7,8,both | |
| 391,Differentiation,Differentiation,KS5,maths,AQA,G,8,both | |
| 392,Understand and use the derivative of f x as the gradient of the tangent to the graph of y,Understand and use the derivative of f x as the gradient of the tangent to the graph of y,KS5,maths,AQA,G1,8,both | |
| 393,"Differentiate xn , for rational values of n , and related constant multiples","Differentiate xn , for rational values of n , and related constant multiples",KS5,maths,AQA,G2,8,both | |
| 394,"Apply differentiation to find gradients, tangents and normals","Apply differentiation to find gradients, tangents and normals",KS5,maths,AQA,G3,8,both | |
| 395,"Differentiate using the product rule, the quotient rule and the chain rule","Differentiate using the product rule, the quotient rule and the chain rule",KS5,maths,AQA,G4,8,both | |
| 396,Differentiate simple functions and relations defined implicitly or parametrically,Differentiate simple functions and relations defined implicitly or parametrically,KS5,maths,AQA,G5,8,both | |
| 397,Construct simple differential equations in pure mathematics and in context,Construct simple differential equations in pure mathematics and in context,KS5,maths,AQA,G6,8,both | |
| 398,Integration,Integration,KS5,maths,AQA,H,8,both | |
| 399,Know and use the Fundamental Theorem of Calculus,Know and use the Fundamental Theorem of Calculus,KS5,maths,AQA,H1,8,both | |
| 400,"Integrate xn (excluding n = −1 ), and related sums, differences and constant multiples","Integrate xn (excluding n = −1 ), and related sums, differences and constant multiples",KS5,maths,AQA,H2,8,both | |
| 401,Evaluate definite integrals; use a definite integral to find the area under a curve,Evaluate definite integrals; use a definite integral to find the area under a curve,KS5,maths,AQA,H3,8,both | |
| 402,Understand and use integration as the limit of a sum,Understand and use integration as the limit of a sum,KS5,maths,AQA,H4,8,both | |
| 403,Carry out simple cases of integration by substitution and integration by parts,Carry out simple cases of integration by substitution and integration by parts,KS5,maths,AQA,H5,8,both | |
| 404,Integrate using partial fractions that are linear in the denominator,Integrate using partial fractions that are linear in the denominator,KS5,maths,AQA,H6,8,both | |
| 405,Evaluate the analytical solution of simple first order differential equations,Evaluate the analytical solution of simple first order differential equations,KS5,maths,AQA,H7,8,both | |
| 406,Interpret the solution of a differential equation in the context of solving a problem,Interpret the solution of a differential equation in the context of solving a problem,KS5,maths,AQA,H8,8,both | |
| 407,Numerical methods,Numerical methods,KS5,maths,AQA,I,8,both | |
| 408,Locate roots,Locate roots,KS5,maths,AQA,I1,8,both | |
| 409,Solve equations approximately using simple iterative methods,Solve equations approximately using simple iterative methods,KS5,maths,AQA,I2,8,both | |
| 410,Understand and use numerical integration of functions,Understand and use numerical integration of functions,KS5,maths,AQA,I3,8,both | |
| 411,Use numerical methods to solve problems in context,Use numerical methods to solve problems in context,KS5,maths,AQA,I4,8,both | |
| 412,Vectors,Vectors,KS5,maths,AQA,J,8,both | |
| 413,Use vectors in two dimensions and in three dimensions,Use vectors in two dimensions and in three dimensions,KS5,maths,AQA,J1,8,both | |
| 414,Calculate the magnitude and direction of a vector and convert between component form,Calculate the magnitude and direction of a vector and convert between component form,KS5,maths,AQA,J2,8,both | |
| 415,Add vectors diagrammatically and perform the algebraic operations of vector addition,Add vectors diagrammatically and perform the algebraic operations of vector addition,KS5,maths,AQA,J3,8,both | |
| 416,Understand and use position vectors,Understand and use position vectors,KS5,maths,AQA,J4,8,both | |
| 417,Use vectors to solve problems in pure mathematics and in context,Use vectors to solve problems in pure mathematics and in context,KS5,maths,AQA,J5,8,both | |
| 418,Statistical sampling,Statistical sampling,KS5,maths,AQA,K,8,both | |
| 419,Understand and use the terms ‘population’ and ‘sample’,Understand and use the terms ‘population’ and ‘sample’,KS5,maths,AQA,K1,8,both | |
| 420,Data presentation and interpretation,Data presentation and interpretation,KS5,maths,AQA,L,8,both | |
| 421,Interpret diagrams for single-variable data,Interpret diagrams for single-variable data,KS5,maths,AQA,L1,8,both | |
| 422,Interpret scatter diagrams and regression lines for bivariate data,Interpret scatter diagrams and regression lines for bivariate data,KS5,maths,AQA,L2,8,both | |
| 423,"Interpret measures of central tendency and variation, extending to standard deviation","Interpret measures of central tendency and variation, extending to standard deviation",KS5,maths,AQA,L3,8,both | |
| 424,Recognise and interpret possible outliers in data sets and statistical diagrams,Recognise and interpret possible outliers in data sets and statistical diagrams,KS5,maths,AQA,L4,8,both | |
| 425,Probability,Probability,KS5,maths,AQA,M,8,both | |
| 426,Understand and use mutually exclusive and independent events when calculating,Understand and use mutually exclusive and independent events when calculating,KS5,maths,AQA,M1,8,both | |
| 427,"Understand and use conditional probability, including the use of tree diagrams","Understand and use conditional probability, including the use of tree diagrams",KS5,maths,AQA,M2,8,both | |
| 428,"Modelling with probability, including critiquing assumptions made and the likely effect","Modelling with probability, including critiquing assumptions made and the likely effect",KS5,maths,AQA,M3,8,both | |
| 429,Statistical distributions,Statistical distributions,KS5,maths,AQA,N,8,both | |
| 430,"Understand and use simple, discrete probability distributions (calculation of mean","Understand and use simple, discrete probability distributions (calculation of mean",KS5,maths,AQA,N1,8,both | |
| 431,Understand and use the Normal distribution as a model,Understand and use the Normal distribution as a model,KS5,maths,AQA,N2,8,both | |
| 432,Select an appropriate probability distribution for a context,Select an appropriate probability distribution for a context,KS5,maths,AQA,N3,8,both | |
| 433,Statistical hypothesis testing,Statistical hypothesis testing,KS5,maths,AQA,O,8,both | |
| 434,Understand and apply the language of statistical hypothesis testing,Understand and apply the language of statistical hypothesis testing,KS5,maths,AQA,O1,8,both | |
| 435,Conduct a statistical hypothesis test for the proportion in the binomial distribution,Conduct a statistical hypothesis test for the proportion in the binomial distribution,KS5,maths,AQA,O2,8,both | |
| 436,Conduct a statistical hypothesis test for the mean of a Normal distribution with known,Conduct a statistical hypothesis test for the mean of a Normal distribution with known,KS5,maths,AQA,O3,8,both | |
| 437,Quantities and units in mechanics,Quantities and units in mechanics,KS5,maths,AQA,P,8,both | |
| 438,Understand and use fundamental quantities and units in the SI system,Understand and use fundamental quantities and units in the SI system,KS5,maths,AQA,P1,8,both | |
| 439,Kinematics,Kinematics,KS5,maths,AQA,Q,8,both | |
| 440,Understand and use the language of kinematics,Understand and use the language of kinematics,KS5,maths,AQA,Q1,8,both | |
| 441,"Understand, use and interpret graphs in kinematics for motion in a straight line","Understand, use and interpret graphs in kinematics for motion in a straight line",KS5,maths,AQA,Q2,8,both | |
| 442,"Understand, use and derive the formulae for constant acceleration for motion","Understand, use and derive the formulae for constant acceleration for motion",KS5,maths,AQA,Q3,8,both | |
| 443,Use calculus in kinematics for motion in a straight line,Use calculus in kinematics for motion in a straight line,KS5,maths,AQA,Q4,8,both | |
| 444,Model motion under gravity in a vertical plane using vectors,Model motion under gravity in a vertical plane using vectors,KS5,maths,AQA,Q5,8,both | |
| 445,Forces and Newton’s laws,Forces and Newton’s laws,KS5,maths,AQA,R,8,both | |
| 446,Understand the concept of a force,Understand the concept of a force,KS5,maths,AQA,R1,8,both | |
| 447,Understand and use Newton’s second law for motion in a straight line (restricted,Understand and use Newton’s second law for motion in a straight line (restricted,KS5,maths,AQA,R2,8,both | |
| 448,Understand and use weight and motion in a straight line under gravity,Understand and use weight and motion in a straight line under gravity,KS5,maths,AQA,R3,8,both | |
| 449,Understand and use Newton’s third law,Understand and use Newton’s third law,KS5,maths,AQA,R4,8,both | |
| 450,Understand and use addition of forces,Understand and use addition of forces,KS5,maths,AQA,R5,8,both | |
| 451,Understand and use the F ≤R model for friction,Understand and use the F ≤R model for friction,KS5,maths,AQA,R6,8,both | |
| 452,Moments,Moments,KS5,maths,AQA,S,8,both | |
| 453,Understand and use moments in simple static contexts,Understand and use moments in simple static contexts,KS5,maths,AQA,S1,8,both | |
| 454,Pure mathematics,Pure mathematics,KS5,maths,Edexcel,P,8,both | |
| 455,Statistics,Statistics,KS5,maths,Edexcel,S,8,both | |
| 456,Mechanics,Mechanics,KS5,maths,Edexcel,M,8,both | |
| 457,Understand and use the structure of mathematical proof,Understand and use the structure of mathematical proof,KS5,maths,Edexcel,P1.1,8,both | |
| 458,Understand and use the laws of indices for all rational exponents,Understand and use the laws of indices for all rational exponents,KS5,maths,Edexcel,P2.1,8,both | |
| 459,"Use and manipulate surds, including rationalising the denominator","Use and manipulate surds, including rationalising the denominator",KS5,maths,Edexcel,P2.2,8,both | |
| 460,Work with quadratic functions and their graphs,Work with quadratic functions and their graphs,KS5,maths,Edexcel,P2.3,8,both | |
| 461,Solve simultaneous equations in two variables by elimination and by substitution,Solve simultaneous equations in two variables by elimination and by substitution,KS5,maths,Edexcel,P2.4,8,both | |
| 462,Solve linear and quadratic inequalities in a single variable and interpret such,Solve linear and quadratic inequalities in a single variable and interpret such,KS5,maths,Edexcel,P2.5,8,both | |
| 463,Manipulate polynomials algebraically,Manipulate polynomials algebraically,KS5,maths,Edexcel,P2.6,8,both | |
| 464,Understand and use graphs of functions,Understand and use graphs of functions,KS5,maths,Edexcel,P2.7,8,both | |
| 465,Understand and use composite functions,Understand and use composite functions,KS5,maths,Edexcel,P2.8,8,both | |
| 466,Understand the effect of simple transformations on the graph of y = f(x),Understand the effect of simple transformations on the graph,KS5,maths,Edexcel,P2.9,8,both | |
| 467,Decompose rational functions into partial fractions (denominators not more complicated,Decompose rational functions into partial fractions (denominators not more complicated,KS5,maths,Edexcel,P2.10,8,both | |
| 468,"Use of functions in modelling, including consideration of limitations and refinements","Use of functions in modelling, including consideration of limitations and refinements",KS5,maths,Edexcel,P2.11,8,both | |
| 469,"Understand and use the equation of a straight line, including the forms y","Understand and use the equation of a straight line, including the forms y",KS5,maths,Edexcel,P3.1,8,both | |
| 470,Understand and use the coordinate geometry of the circle including using the equation,Understand and use the coordinate geometry of the circle including using the equation,KS5,maths,Edexcel,P3.2,8,both | |
| 471,Understand and use the parametric equations of curves and conversion between Cartesian,Understand and use the parametric equations of curves and conversion between Cartesian,KS5,maths,Edexcel,P3.3,8,both | |
| 472,Use parametric equations in modelling in a variety of contexts,Use parametric equations in modelling in a variety of contexts,KS5,maths,Edexcel,P3.4,8,both | |
| 473,Understand and use the binomial expansion of (a + bx)n for positive integer n,Understand and use the binomial expansion of a + bx n for positive integer n,KS5,maths,Edexcel,P4.1,8,both | |
| 474,Work with sequences including those given by a formula for the nth term and those,Work with sequences including those given by a formula for the n th term and those,KS5,maths,Edexcel,P4.2,8,both | |
| 475,Understand and use sigma notation for sums of series,Understand and use sigma notation for sums of series,KS5,maths,Edexcel,P4.3,8,both | |
| 476,Understand and work with arithmetic sequences and series,Understand and work with arithmetic sequences and series,KS5,maths,Edexcel,P4.4,8,both | |
| 477,Understand and work with geometric sequences and series,Understand and work with arithmetic sequences and series,KS5,maths,Edexcel,P4.5,8,both | |
| 478,Use sequences and series in modelling,Use sequences and series in modelling,KS5,maths,Edexcel,P4.6,8,both | |
| 479,"Understand and use the definitions of sine, cosine and tangent for all arguments","Understand and use the definitions of sine, cosine and tangent for all arguments",KS5,maths,Edexcel,P5.1,8,both | |
| 480,"Understand and use the standard small angle approximations of sine, cosine and tangent",Understand and use the standard small angle approximations of sine,KS5,maths,Edexcel,P5.2,8,both | |
| 481,"Understand and use the sine, cosine and tangent functions","Understand and use the sine, cosine and tangent functions",KS5,maths,Edexcel,P5.3,8,both | |
| 482,Understand and use the definitions of secant,Understand and use the definitions of secant,KS5,maths,Edexcel,P5.4,8,both | |
| 483,Understand and use the Pythagorean trigonometric identities,Understand and use the Pythagorean trigonometric identities,KS5,maths,Edexcel,P5.5,8,both | |
| 484,Understand and use double angle formulae,Understand and use double angle formulae,KS5,maths,Edexcel,P5.6,8,both | |
| 485,Solve simple trigonometric equations in a given interval,Solve simple trigonometric equations in a given interval,KS5,maths,Edexcel,P5.7,8,both | |
| 486,Construct proofs involving trigonometric functions and identities,Construct proofs involving trigonometric functions and identities,KS5,maths,Edexcel,P5.8,8,both | |
| 487,Use trigonometric functions to solve problems in context,Use trigonometric functions to solve problems in context,KS5,maths,Edexcel,P5.9,8,both | |
| 488,Know and use the function ax and its graph,Know and use the function ax and its graph,KS5,maths,Edexcel,P6.1,8,both | |
| 489,Know that the gradient of ekx is equal to kekx,Know that the gradient of ekx is equal to kekx,KS5,maths,Edexcel,P6.2,8,both | |
| 490,"Know and use the definition of loga x as the inverse of a x, where a is",Know and use the definition of loga x as the inverse of ax,KS5,maths,Edexcel,P6.3,8,both | |
| 491,Understand and use the laws of logarithms:,Understand and use the laws of logarithms,KS5,maths,Edexcel,P6.4,8,both | |
| 492,Solve exponential equations,Solve exponential equations,KS5,maths,Edexcel,P6.5,8,both | |
| 493,Use logarithmic graphs to estimate parameters in relationships of the form,Use logarithmic graphs to estimate parameters in relationships of the form y = axn and y,KS5,maths,Edexcel,P6.6,8,both | |
| 494,Understand and use exponential growth and decay,Understand and use exponential growth and decay,KS5,maths,Edexcel,P6.7,8,both | |
| 495,Understand and use the derivative of f( x) as,Understand and use the derivative of f( x) as,KS5,maths,Edexcel,P7.1,8,both | |
| 496,"Differentiate xn, for rational values of n","Differentiate xn, for rational values of n",KS5,maths,Edexcel,P7.2,8,both | |
| 497,"Apply differentiation to find gradients, tangents and normals","Apply differentiation to find gradients, tangents and normals",KS5,maths,Edexcel,P7.3,8,both | |
| 498,"Differentiate using the product rule, the quotient rule and the chain rule","Differentiate using the product rule, the quotient rule and the chain rule",KS5,maths,Edexcel,P7.4,8,both | |
| 499,Differentiate simple functions and relations defined implicitly or parametrically,Differentiate simple functions and relations defined implicitly or parametrically,KS5,maths,Edexcel,P7.5,8,both | |
| 500,Construct simple differential equations in pure mathematics and in context,Construct simple differential equations in pure mathematics and in context,KS5,maths,Edexcel,P7.6,8,both | |
| 501,Know and use the Fundamental Theorem of Calculus,Know and use the Fundamental Theorem of Calculus,KS5,maths,Edexcel,P8.1,8,both | |
| 502,Integrate xn and related sums,Integrate xn and related sums,KS5,maths,Edexcel,P8.2,8,both | |
| 503,Evaluate definite integrals; use a definite integral to find the area under a curve,Evaluate definite integrals; use a definite integral to find the area under a curve,KS5,maths,Edexcel,P8.3,8,both | |
| 504,Understand and use integration as the limit of a sum,Understand and use integration as the limit of a sum,KS5,maths,Edexcel,P8.4,8,both | |
| 505,Carry out simple cases of integration by substitution and integration by parts,Carry out simple cases of integration by substitution and integration by parts,KS5,maths,Edexcel,P8.5,8,both | |
| 506,Integrate using partial fractions that are linear in the denominator,Integrate using partial fractions that are linear in the denominator,KS5,maths,Edexcel,P8.6,8,both | |
| 507,Evaluate the analytical solution of simple first order differential equations,Evaluate the analytical solution of simple first order differential equations,KS5,maths,Edexcel,P8.7,8,both | |
| 508,Interpret the solution of a differential equation in the context of solving a problem,Interpret the solution of a differential equation in the context of solving a problem,KS5,maths,Edexcel,P8.8,8,both | |
| 509,Locate roots,Locate roots,KS5,maths,Edexcel,P9.1,8,both | |
| 510,Solve equations approximately using simple iterative methods,Solve equations approximately using simple iterative methods,KS5,maths,Edexcel,P9.2,8,both | |
| 511,Solve equations using the Newton-Raphson method and other recurrence relations,Solve equations using the Newton-Raphson method and other recurrence relations,KS5,maths,Edexcel,P9.3,8,both | |
| 512,Understand and use numerical integration of functions,Understand and use numerical integration of functions,KS5,maths,Edexcel,P9.4,8,both | |
| 513,Use numerical methods to solve problems in context,Use numerical methods to solve problems in context,KS5,maths,Edexcel,P9.5,8,both | |
| 514,Use vectors in two dimensions and in three dimensions,Use vectors in two dimensions and in three dimensions,KS5,maths,Edexcel,P10.1,8,both | |
| 515,Calculate the magnitude and direction of a vector and convert between component form,Calculate the magnitude and direction of a vector and convert between component form,KS5,maths,Edexcel,P10.2,8,both | |
| 516,Add vectors diagrammatically and perform the algebraic operations of vector addition,Add vectors diagrammatically and perform the algebraic operations of vector addition,KS5,maths,Edexcel,P10.3,8,both | |
| 517,Understand and use position vectors,Understand and use position vectors,KS5,maths,Edexcel,P10.4,8,both | |
| 518,Use vectors to solve problems in pure mathematics and in context,Use vectors to solve problems in pure mathematics and in context,KS5,maths,Edexcel,P10.5,8,both | |
| 519,Understand and use the terms ‘population’ and ‘sample’,Understand and use the terms ‘population’ and ‘sample’,KS5,maths,Edexcel,S1.1,8,both | |
| 520,Interpret scatter diagrams and regression lines for bivariate data,Interpret scatter diagrams and regression lines for bivariate data,KS5,maths,Edexcel,S2.2,8,both | |
| 521,Conduct a statistical hypothesis test for the proportion in the binomial distribution,Conduct a statistical hypothesis test for the proportion in the binomial distribution,KS5,maths,Edexcel,S5.2,8,both | |
| 522,Understand and use fundamental quantities and units in the S.I,Understand and use fundamental quantities and units in the SI system,KS5,maths,Edexcel,M6.1,8,both | |
| 523,Understand and use the language of kinematics,Understand and use the language of kinematics,KS5,maths,Edexcel,M7.1,8,both | |
| 524,"Understand, use and interpret graphs in kinematics for motion in a straight line","Understand, use and interpret graphs in kinematics for motion in a straight line",KS5,maths,Edexcel,M7.2,8,both | |
| 525,"Understand, use and derive the formulae for constant acceleration for motion","Understand, use and derive the formulae for constant acceleration for motion",KS5,maths,Edexcel,M7.3,8,both | |
| 526,Use calculus in kinematics for motion in a straight line:,Use calculus in kinematics for motion in a straight line,KS5,maths,Edexcel,M7.4,8,both | |
| 527,Model motion under gravity in a vertical plane using vectors,Model motion under gravity in a vertical plane using vectors,KS5,maths,Edexcel,M7.5,8,both | |
| 528,Understand the concept of a force,Understand the concept of a force,KS5,maths,Edexcel,M8.1,8,both | |
| 529,Understand and use Newton’s second law for motion in a straight line (restricted,Understand and use Newton’s second law for motion in a straight line (restricted,KS5,maths,Edexcel,M8.2,8,both | |
| 530,Understand and use weight and motion in a straight line under gravity,Understand and use weight and motion in a straight line under gravity,KS5,maths,Edexcel,M8.3,8,both | |
| 531,Understand and use Newton’s third law,Understand and use Newton’s third law,KS5,maths,Edexcel,M8.4,8,both | |
| 532,Understand and use addition of forces,Understand and use addition of forces,KS5,maths,Edexcel,M8.5,8,both | |
| 533,Understand and use moments in simple static contexts,Understand and use moments in simple static contexts,KS5,maths,Edexcel,M9.1,8,both | |
| 534,Pure mathematics,Pure mathematics,KS5,maths,OCR,1,8,both | |
| 535,Statistics,Statistics,KS5,maths,OCR,2,8,both | |
| 536,Mechanics,Mechanics,KS5,maths,OCR,3,8,both | |
| 537,Proof,Proof,KS5,maths,OCR,1.01,8,both | |
| 538,The structure of mathematical proof,The structure of mathematical proof,KS5,maths,OCR,1.01a,8,both | |
| 539,Proof by contradiction,Proof by contradiction,KS5,maths,OCR,1.01d,8,both | |
| 540,The logical connectives,The logical connectives,KS5,maths,OCR,1.01b,8,both | |
| 541,Show disproof by counter example,Show disproof by counter example,KS5,maths,OCR,1.01c,8,both | |
| 542,Algebra and Functions,Algebra and functions,KS5,maths,OCR,1.02,8,both | |
| 543,The laws of indices for all rational exponents,The laws of indices for all rational exponents,KS5,maths,OCR,1.02a,8,both | |
| 544,"Use and manipulate surds, including rationalising the denominator","Use and manipulate surds, including rationalising the denominator",KS5,maths,OCR,1.02b,8,both | |
| 545,Solve simultaneous equations in two variables by elimination,Solve simultaneous equations in two variables by elimination and by substitution,KS5,maths,OCR,1.02c,8,both | |
| 546,Work with quadratic functions and their graphs,Work with quadratic functions and their graphs,KS5,maths,OCR,1.02d,8,both | |
| 547,Complete the square of the quadratic polynomial ax bx,Complete the square of the quadratic polynomial ax bx,KS5,maths,OCR,1.02e,8,both | |
| 548,Solve quadratic equations including quadratic equations in a function,Solve quadratic equations including quadratic equations in a function,KS5,maths,OCR,1.02f,8,both | |
| 549,Solve linear and quadratic inequalities in a single variable and interpret,Solve linear and quadratic inequalities in a single variable and interpret such,KS5,maths,OCR,1.02g,8,both | |
| 550,Express solutions through correct use,Express solutions through correct use,KS5,maths,OCR,1.02h,8,both | |
| 551,Represent linear and quadratic inequalities,Represent linear and quadratic inequalities,KS5,maths,OCR,1.02i,8,both | |
| 552,Manipulate polynomials algebraically,Manipulate polynomials algebraically,KS5,maths,OCR,1.02j,8,both | |
| 553,Simplify rational expressions,Simplify rational expressions,KS5,maths,OCR,1.02k,8,both | |
| 554,"The modulus function, including the notation x","The modulus function, including the notation x",KS5,maths,OCR,1.02l,8,both | |
| 555,Graphs of functions,Graphs of functions,KS5,maths,OCR,1.02m,8,both | |
| 556,Sketch the graph of the modulus of a linear function involving a single,Sketch the graph of the modulus of a linear function involving a single,KS5,maths,OCR,1.02s,8,both | |
| 557,Sketch curves defined by simple equations including polynomials,Sketch curves defined by simple equations including polynomials,KS5,maths,OCR,1.02n,8,both | |
| 558,Solve graphically simple equations and inequalities involving the modulus,Solve graphically simple equations and inequalities involving the modulus,KS5,maths,OCR,1.02t,8,both | |
| 559,Sketch curves defined,Sketch curves defined,KS5,maths,OCR,1.02o,8,both | |
| 560,Interpret the algebraic solution of equations graphically,Interpret the algebraic solution of equations graphically,KS5,maths,OCR,1.02p,8,both | |
| 561,Intersection points of graphs to solve equations,Intersection points of graphs to solve equations,KS5,maths,OCR,1.02q,8,both | |
| 562,Proportional relationships and their graphs,Proportional relationships and their graphs,KS5,maths,OCR,1.02r,8,both | |
| 563,The definition of a function,The definition of a function,KS5,maths,OCR,1.02u,8,both | |
| 564,"Inverse functions and their graphs, and composite functions","Inverse functions and their graphs, and composite functions",KS5,maths,OCR,1.02v,8,both | |
| 565,Understand the effect of simple transformations on the graph,Understand the effect of simple transformations on the graph,KS5,maths,OCR,1.02w,8,both | |
| 566,Understand the effect of combinations of transformations on the graph,Understand the effect of simple transformations on the graph,KS5,maths,OCR,1.02x,8,both | |
| 567,Decompose rational functions into partial fractions (denominators not more,Decompose rational functions into partial fractions (denominators not more complicated,KS5,maths,OCR,1.02y,8,both | |
| 568,Functions in modelling,Functions in modelling,KS5,maths,OCR,1.02z,8,both | |
| 569,Coordinate Geometry in the x–y Plane,Coordinate geometry in the plane,KS5,maths,OCR,1.03,8,both | |
| 570,The equation of a straight line,The equation of a straight line,KS5,maths,OCR,1.03a,8,both | |
| 571,The gradient conditions for two straight lines to be parallel,The gradient conditions for two straight lines to be parallel,KS5,maths,OCR,1.03b,8,both | |
| 572,Straight line models in a variety of contexts,Straight line models in a variety of contexts,KS5,maths,OCR,1.03c,8,both | |
| 573,The coordinate geometry of a circle including using,The coordinate geometry of a circle including using,KS5,maths,OCR,1.03d,8,both | |
| 574,Complete the square to find the centre and radius of a circle,Complete the square to find the centre and radius of a circle,KS5,maths,OCR,1.03e,8,both | |
| 575,The following circle properties in the context of problems in coordinate,The following circle properties in the context of problems in coordinate,KS5,maths,OCR,1.03f,8,both | |
| 576,The parametric equations of curves and be able to convert,The parametric equations of curves and be able to convert,KS5,maths,OCR,1.03g,8,both | |
| 577,Sequences and Series,Sequences and series,KS5,maths,OCR,1.04,8,both | |
| 578,Parametric equations in modelling in a variety of contexts,Use parametric equations in modelling in a variety of contexts,KS5,maths,OCR,1.03h,8,both | |
| 579,The binomial expansion,The binomial expansion,KS5,maths,OCR,1.04a,8,both | |
| 580,Extend the binomial expansion,Extend the binomial expansion,KS5,maths,OCR,1.04c,8,both | |
| 581,Understand and know the link to binomial probabilities,Understand and know the link to binomial probabilities,KS5,maths,OCR,1.04b,8,both | |
| 582,Know that the expansion is valid for 1 a bx <,Know that the expansion is valid for 1 a bx <,KS5,maths,OCR,1.04d,8,both | |
| 583,Work with sequences including those given by a formula for the nth term,Work with sequences including those given by a formula for the n th term and those,KS5,maths,OCR,1.04e,8,both | |
| 584,Understand the meaning of and work with increasing sequences,Understand the meaning of and work with increasing sequences,KS5,maths,OCR,1.04f,8,both | |
| 585,Sigma notation for sums of series,Sigma notation for sums of series,KS5,maths,OCR,1.04g,8,both | |
| 586,Work with arithmetic sequences and series,Work with arithmetic sequences and series,KS5,maths,OCR,1.04h,8,both | |
| 587,Work with geometric sequences and series including the formulae,Work with geometric sequences and series including the formulae,KS5,maths,OCR,1.04i,8,both | |
| 588,Work with the sum to infinity of a convergent geometric series,Work with the sum to infinity of a convergent geometric series,KS5,maths,OCR,1.04j,8,both | |
| 589,Sequences and series in modelling,Use sequences and series in modelling,KS5,maths,OCR,1.04k,8,both | |
| 590,Trigonometry,Trigonometry,KS5,maths,OCR,1.05,8,both | |
| 591,The definitions of sine,The definitions of sine,KS5,maths,OCR,1.05a,8,both | |
| 592,"Work with radian measure, including use for arc length and area of sector","Work with radian measure, including use for arc length and area of sector",KS5,maths,OCR,1.05d,8,both | |
| 593,The sine and cosine rules,The sine and cosine rules,KS5,maths,OCR,1.05b,8,both | |
| 594,The area of a triangle in the form ab C sin 2,The area of a triangle in the form ab C sin 2,KS5,maths,OCR,1.05c,8,both | |
| 595,The standard small angle approximations of sine,The standard small angle approximations of sine,KS5,maths,OCR,1.05e,8,both | |
| 596,"The sine, cosine and tangent functions","The sine, cosine and tangent functions",KS5,maths,OCR,1.05f,8,both | |
| 597,Exact values of sin,Exact values of sin,KS5,maths,OCR,1.05g,8,both | |
| 598,The definitions of secant (sec i),The definitions of secant (sec i),KS5,maths,OCR,1.05h,8,both | |
| 599,Understand the graphs of the functions given,Understand the graphs of the functions given,KS5,maths,OCR,1.05i,8,both | |
| 600,Trigonometric,Trigonometry,KS5,maths,OCR,1.05k,8,both | |
| 601,Double angle formulae and the formulae,Double angle formulae and the formulae,KS5,maths,OCR,1.05l,8,both | |
| 602,Understand the geometrical proofs of these formulae,Understand the geometrical proofs of these formulae,KS5,maths,OCR,1.05m,8,both | |
| 603,Solve simple trigonometric equations in a given interval,Solve simple trigonometric equations in a given interval,KS5,maths,OCR,1.05o,8,both | |
| 604,Exponentials and Logarithms,Exponentials and logarithms,KS5,maths,OCR,1.06,8,both | |
| 605,Construct proofs involving trigonometric functions and identities,Construct proofs involving trigonometric functions and identities,KS5,maths,OCR,1.05p,8,both | |
| 606,Trigonometric functions to solve problems in context,Use trigonometric functions to solve problems in context,KS5,maths,OCR,1.05q,8,both | |
| 607,"Know and use the function ax and its graph, where a is positive","Know and use the function ax and its graph, where a is positive",KS5,maths,OCR,1.06a,8,both | |
| 608,Know that the gradient of ekx is equal to kekx and hence understand why the exponential,Know that the gradient of ekx is equal to kekx and hence understand why the exponential,KS5,maths,OCR,1.06b,8,both | |
| 609,"Know and use the definition of x loga (for x > 0) as the inverse of ax (for all x),where","Know and use the definition of x loga (for x > 0) as the inverse of ax (for all x),where",KS5,maths,OCR,1.06c,8,both | |
| 610,Know and use the function x ln and its graph,Know and use the function ax and its graph,KS5,maths,OCR,1.06d,8,both | |
| 611,Know and use x ln as the inverse function of ex,Know and use x ln as the inverse function of ex,KS5,maths,OCR,1.06e,8,both | |
| 612,The laws of logarithms:,The laws of logarithms:,KS5,maths,OCR,1.06f,8,both | |
| 613,Solve equations,Solve equations,KS5,maths,OCR,1.06g,8,both | |
| 614,Logarithmic graphs to estimate parameters in relationships of the form y,Use logarithmic graphs to estimate parameters in relationships of the form y = axn and y,KS5,maths,OCR,1.06h,8,both | |
| 615,Exponential growth and decay and use the exponential,Exponential growth and decay and use the exponential,KS5,maths,OCR,1.06i,8,both | |
| 616,Differentiation,Differentiation,KS5,maths,OCR,1.07,8,both | |
| 617,The derivative of ( )x f as the gradient of the tangent,The derivative of ( )x f as the gradient of the tangent,KS5,maths,OCR,1.07a,8,both | |
| 618,The gradient of the tangent at a point,The gradient of the tangent at a point,KS5,maths,OCR,1.07b,8,both | |
| 619,Sketch the gradient function for a given curve,Sketch the gradient function for a given curve,KS5,maths,OCR,1.07c,8,both | |
| 620,Find second derivatives,Find second derivatives,KS5,maths,OCR,1.07d,8,both | |
| 621,The second derivative in connection to convex and concave,The second derivative in connection to convex and concave,KS5,maths,OCR,1.07f,8,both | |
| 622,The second derivative as the rate of change of gradient,The second derivative as the rate of change of gradient,KS5,maths,OCR,1.07e,8,both | |
| 623,Show differentiation from first principles for small positive integer powers,Show differentiation from first principles for small positive integer powers,KS5,maths,OCR,1.07g,8,both | |
| 624,Show differentiation from first principles for x sin and x cos,Show differentiation from first principles for x sin and x cos,KS5,maths,OCR,1.07h,8,both | |
| 625,"Differentiate xn, for rational values of n","Differentiate xn, for rational values of n",KS5,maths,OCR,1.07i,8,both | |
| 626,"Differentiate ekx and akx, and related sums, differences and constant multiples","Differentiate ekx and akx, and related sums, differences and constant multiples",KS5,maths,OCR,1.07j,8,both | |
| 627,"Differentiate kx sin , kx cos , kx tan and related sums","Differentiate kx sin , kx cos , kx tan and related sums",KS5,maths,OCR,1.07k,8,both | |
| 628,The derivative,The derivative,KS5,maths,OCR,1.07l,8,both | |
| 629,Apply differentiation to find the gradient at a point on a curve,Apply differentiation to find the gradient at a point on a curve,KS5,maths,OCR,1.07m,8,both | |
| 630,Apply differentiation to find points of inflection on a curve,Apply differentiation to find points of inflection on a curve,KS5,maths,OCR,1.07p,8,both | |
| 631,Apply differentiation to find and classify stationary points on a curve as,Apply differentiation to find and classify stationary points on a curve as,KS5,maths,OCR,1.07n,8,both | |
| 632,Identify where functions are increasing or decreasing,Identify where functions are increasing or decreasing,KS5,maths,OCR,1.07o,8,both | |
| 633,Differentiate using the product rule and the quotient rule,Differentiate using the product rule and the quotient rule,KS5,maths,OCR,1.07q,8,both | |
| 634,Differentiate using the chain rule,Differentiate using the chain rule,KS5,maths,OCR,1.07r,8,both | |
| 635,Differentiate simple functions and relations defined implicitly,Differentiate simple functions and relations defined implicitly or parametrically,KS5,maths,OCR,1.07s,8,both | |
| 636,Construct simple differential equations in pure mathematics and in context,Construct simple differential equations in pure mathematics and in context,KS5,maths,OCR,1.07t,8,both | |
| 637,Integration,Integration,KS5,maths,OCR,1.08,8,both | |
| 638,The fundamental theorem of calculus,The fundamental theorem of calculus,KS5,maths,OCR,1.08a,8,both | |
| 639,"Integrate xn where 1 n !- and related sums, differences and constant multiples","Integrate xn (excluding n = −1 ), and related sums, differences and constant multiples",KS5,maths,OCR,1.08b,8,both | |
| 640,"Integrate ekx, 1 x, kx sin , kx cos and related sums","Integrate ekx, 1 x, kx sin , kx cos and related sums",KS5,maths,OCR,1.08c,8,both | |
| 641,Evaluate definite integrals,Evaluate definite integrals,KS5,maths,OCR,1.08d,8,both | |
| 642,A definite integral to find the area between a curve and the x-axis,A definite integral to find the area between a curve and the x-axis,KS5,maths,OCR,1.08e,8,both | |
| 643,A definite integral to find the area between two curves,A definite integral to find the area between two curves,KS5,maths,OCR,1.08f,8,both | |
| 644,Integration as the limit of a sum,Integration as the limit of a sum,KS5,maths,OCR,1.08g,8,both | |
| 645,Carry out simple cases of integration by substitution,Carry out simple cases of integration by substitution,KS5,maths,OCR,1.08h,8,both | |
| 646,Carry out simple cases of integration by parts,Carry out simple cases of integration by parts,KS5,maths,OCR,1.08i,8,both | |
| 647,Integrate functions using partial fractions that have linear terms,Integrate functions using partial fractions that have linear terms,KS5,maths,OCR,1.08j,8,both | |
| 648,Evaluate the analytical solution of simple first order differential equations,Evaluate the analytical solution of simple first order differential equations,KS5,maths,OCR,1.08k,8,both | |
| 649,Numerical Methods,Numerical methods,KS5,maths,OCR,1.09,8,both | |
| 650,Interpret the solution of a differential equation in the context of solving,Interpret the solution of a differential equation in the context of solving a problem,KS5,maths,OCR,1.08l,8,both | |
| 651,Locate roots,Locate roots,KS5,maths,OCR,1.09a,8,both | |
| 652,Understand how change of sign methods can fail,Understand how change of sign methods can fail,KS5,maths,OCR,1.09b,8,both | |
| 653,Solve equations approximately using simple iterative methods,Solve equations approximately using simple iterative methods,KS5,maths,OCR,1.09c,8,both | |
| 654,Solve equations using the Newton-,Solve equations using the Newton-,KS5,maths,OCR,1.09d,8,both | |
| 655,Show how such methods can fail,Show how such methods can fail,KS5,maths,OCR,1.09e,8,both | |
| 656,Numerical integration of functions,Numerical integration of functions,KS5,maths,OCR,1.09f,8,both | |
| 657,Vectors,Vectors,KS5,maths,OCR,1.10,8,both | |
| 658,Numerical methods to solve problems in context,Use numerical methods to solve problems in context,KS5,maths,OCR,1.09g,8,both | |
| 659,Vectors in two dimensions,Vectors in two dimensions,KS5,maths,OCR,1.10a,8,both | |
| 660,Vectors in three dimensions,Vectors in three dimensions,KS5,maths,OCR,1.10b,8,both | |
| 661,Calculate the magnitude and direction of a vector and convert between,Calculate the magnitude and direction of a vector and convert between component form,KS5,maths,OCR,1.10c,8,both | |
| 662,Add vectors diagrammatically and perform the algebraic operations of vector,Add vectors diagrammatically and perform the algebraic operations of vector addition,KS5,maths,OCR,1.10d,8,both | |
| 663,Position vectors,Position vectors,KS5,maths,OCR,1.10e,8,both | |
| 664,Calculate the distance between two points represented by position vectors,Calculate the distance between two points represented by position vectors,KS5,maths,OCR,1.10f,8,both | |
| 665,Vectors to solve problems in pure mathematics and in context,Use vectors to solve problems in pure mathematics and in context,KS5,maths,OCR,1.10g,8,both | |
| 666,Vectors to solve problems in kinematics,Vectors to solve problems in kinematics,KS5,maths,OCR,1.10h,8,both | |
| 667,Statistical Sampling,Statistical sampling,KS5,maths,OCR,2.01,8,both | |
| 668,The terms ‘population’ and ‘sample’,The terms ‘population’ and ‘sample’,KS5,maths,OCR,2.01a,8,both | |
| 669,Samples to make informal inferences about the population,Samples to make informal inferences about the population,KS5,maths,OCR,2.01b,8,both | |
| 670,Sampling techniques,Sampling techniques,KS5,maths,OCR,2.01c,8,both | |
| 671,Select or critique sampling techniques in the context of solving a statistical,Select or critique sampling techniques in the context of solving a statistical,KS5,maths,OCR,2.01d,8,both | |
| 672,Data Presentation and Interpretation,Data presentation and interpretation,KS5,maths,OCR,2.02,8,both | |
| 673,Interpret tables and diagrams for single- variable data,Interpret diagrams for single-variable data,KS5,maths,OCR,2.02a,8,both | |
| 674,Understand that area in a histogram represents frequency,Understand that area in a histogram represents frequency,KS5,maths,OCR,2.02b,8,both | |
| 675,Interpret scatter diagrams and regression lines for bivariate data,Interpret scatter diagrams and regression lines for bivariate data,KS5,maths,OCR,2.02c,8,both | |
| 676,Understand informal interpretation of correlation,Understand informal interpretation of correlation,KS5,maths,OCR,2.02d,8,both | |
| 677,Understand that correlation does not imply causation,Understand that correlation does not imply causation,KS5,maths,OCR,2.02e,8,both | |
| 678,Calculate and interpret measures of central tendency and variation,Calculate and interpret measures of central tendency and variation,KS5,maths,OCR,2.02f,8,both | |
| 679,Calculate mean and standard deviation from a list of data,Calculate mean and standard deviation from a list of data,KS5,maths,OCR,2.02g,8,both | |
| 680,Probability,Probability,KS5,maths,OCR,2.03,8,both | |
| 681,Recognise and be able to interpret possible outliers in data sets and statistical diagrams,Recognise and interpret possible outliers in data sets and statistical diagrams,KS5,maths,OCR,2.02h,8,both | |
| 682,Select or critique data presentation techniques in the context,Select or critique data presentation techniques in the context,KS5,maths,OCR,2.02i,8,both | |
| 683,"Clean data, including dealing with missing data, errors and outliers","Clean data, including dealing with missing data, errors and outliers",KS5,maths,OCR,2.02j,8,both | |
| 684,Mutually exclusive and independent events when calculating,Understand and use mutually exclusive and independent events when calculating,KS5,maths,OCR,2.03a,8,both | |
| 685,Appropriate diagrams to assist in the calculation of probabilities,Appropriate diagrams to assist in the calculation of probabilities,KS5,maths,OCR,2.03b,8,both | |
| 686,"Conditional probability, including the use of tree diagrams","Understand and use conditional probability, including the use of tree diagrams",KS5,maths,OCR,2.03c,8,both | |
| 687,Understand the concept of conditional probability,Understand the concept of conditional probability,KS5,maths,OCR,2.03d,8,both | |
| 688,Model with probability,Model with probability,KS5,maths,OCR,2.03e,8,both | |
| 689,Statistical Distributions,Statistical distributions,KS5,maths,OCR,2.04,8,both | |
| 690,"Simple, finite, discrete probability distributions","Simple, finite, discrete probability distributions",KS5,maths,OCR,2.04a,8,both | |
| 691,The binomial distribution as a model,The binomial distribution as a model,KS5,maths,OCR,2.04b,8,both | |
| 692,Calculate probabilities using the binomial distribution,Calculate probabilities using the binomial distribution,KS5,maths,OCR,2.04c,8,both | |
| 693,The normal distribution as a model,The normal distribution as a model,KS5,maths,OCR,2.04e,8,both | |
| 694,Find probabilities using the normal distribution,Find probabilities using the normal distribution,KS5,maths,OCR,2.04f,8,both | |
| 695,"Understand links to histograms, mean and standard deviation","Understand links to histograms, mean and standard deviation",KS5,maths,OCR,2.04g,8,both | |
| 696,Select an appropriate probability distribution for a context,Select an appropriate probability distribution for a context,KS5,maths,OCR,2.04h,8,both | |
| 697,Statistical Hypothesis Testing,Statistical hypothesis testing,KS5,maths,OCR,2.05,8,both | |
| 698,The language of statistical hypothesis testing,The language of statistical hypothesis testing,KS5,maths,OCR,2.05a,8,both | |
| 699,Conduct a statistical hypothesis test for the proportion in the binomial,Conduct a statistical hypothesis test for the proportion in the binomial distribution,KS5,maths,OCR,2.05b,8,both | |
| 700,Understand that a sample is being used to make an inference about the population,Understand that a sample is being used to make an inference about the population,KS5,maths,OCR,2.05c,8,both | |
| 701,"Recognise that a sample mean, X , can be regarded as a random variable","Recognise that a sample mean, X , can be regarded as a random variable",KS5,maths,OCR,2.05d,8,both | |
| 702,Conduct a statistical hypothesis test for the mean of a normal distribution,Conduct a statistical hypothesis test for the mean of a Normal distribution with known,KS5,maths,OCR,2.05e,8,both | |
| 703,Understand Pearson’s product-moment correlation coefficient as a measure of how close,Understand Pearson’s product-moment correlation coefficient as a measure of how close,KS5,maths,OCR,2.05f,8,both | |
| 704,Use and be able to interpret Pearson’s product- moment correlation coefficient,Use and be able to interpret Pearson’s product- moment correlation coefficient,KS5,maths,OCR,2.05g,8,both | |
| 705,Quantities and Units in Mechanics,Quantities and units in mechanics,KS5,maths,OCR,3.01,8,both | |
| 706,Kinematics,Kinematics,KS5,maths,OCR,3.02,8,both | |
| 707,The language of kinematics,The language of kinematics,KS5,maths,OCR,3.01a,8,both | |
| 708,Derived quantities and units,Derived quantities and units,KS5,maths,OCR,3.01b,8,both | |
| 709,The unit for moment,The unit for moment,KS5,maths,OCR,3.01c,8,both | |
| 710,The language of kinematics,The language of kinematics,KS5,maths,OCR,3.02a,8,both | |
| 711,"Understand, use and interpret graphs in kinematics for motion in a straight line","Understand, use and interpret graphs in kinematics for motion in a straight line",KS5,maths,OCR,3.02b,8,both | |
| 712,Interpret displacement-time and velocity- time graphs,Interpret displacement-time and velocity- time graphs,KS5,maths,OCR,3.02c,8,both | |
| 713,"Understand, use and derive the formulae for constant acceleration for motion","Understand, use and derive the formulae for constant acceleration for motion",KS5,maths,OCR,3.02d,8,both | |
| 714,Extend the constant acceleration formulae to motion in two dimensions using,Extend the constant acceleration formulae to motion in two dimensions using,KS5,maths,OCR,3.02e,8,both | |
| 715,Differentiation and integration with respect to time in one dimension,Differentiation and integration with respect to time in one dimension,KS5,maths,OCR,3.02f,8,both | |
| 716,Extend the application of differentiation and integration to two dimensions,Extend the application of differentiation and integration to two dimensions,KS5,maths,OCR,3.02g,8,both | |
| 717,Model motion under gravity in a vertical plane using vectors,Model motion under gravity in a vertical plane using vectors,KS5,maths,OCR,3.02h,8,both | |
| 718,Model the motion of a projectile as a particle moving with constant,Model the motion of a projectile as a particle moving with constant,KS5,maths,OCR,3.02i,8,both | |
| 719,Forces and Newton’s Laws,Forces and Newton’s laws,KS5,maths,OCR,3.03,8,both | |
| 720,Understand the concept and vector nature of a force,Understand the concept and vector nature of a force,KS5,maths,OCR,3.03a,8,both | |
| 721,Newton’s first law,Newton’s first law,KS5,maths,OCR,3.03b,8,both | |
| 722,Newton’s second law,Newton’s second law,KS5,maths,OCR,3.03c,8,both | |
| 723,Extend use of Newton’s second law to situations where forces need to be,Extend use of Newton’s second law to situations where forces need to be,KS5,maths,OCR,3.03e,8,both | |
| 724,Newton’s second law (F ma = ) in simple cases of forces,Newton’s second law (F ma = ) in simple cases of forces,KS5,maths,OCR,3.03d,8,both | |
| 725,The weight of a body to model the motion,The weight of a body to model the motion,KS5,maths,OCR,3.03f,8,both | |
| 726,"Understand the gravitational acceleration, g, and its value in S.I","Understand the gravitational acceleration, g, and its value in S.I",KS5,maths,OCR,3.03g,8,both | |
| 727,Newton’s third law,Newton’s third law,KS5,maths,OCR,3.03h,8,both | |
| 728,Extend use of Newton’s third law to situations where forces need to be resolved,Extend use of Newton’s third law to situations where forces need to be resolved,KS5,maths,OCR,3.03l,8,both | |
| 729,The concept of a normal reaction force,The concept of a normal reaction force,KS5,maths,OCR,3.03i,8,both | |
| 730,The model of a ‘smooth’ contact and understand the limitations of the model,The model of a ‘smooth’ contact and understand the limitations of the model,KS5,maths,OCR,3.03j,8,both | |
| 731,The concept of equilibrium together with one dimensional motion,The concept of equilibrium together with one dimensional motion,KS5,maths,OCR,3.03k,8,both | |
| 732,The principle that a particle is in equilibrium if and only if the sum,The principle that a particle is in equilibrium if and only if the sum,KS5,maths,OCR,3.03m,8,both | |
| 733,Solve problems involving simple cases of equilibrium of forces on a particle,Solve problems involving simple cases of equilibrium of forces on a particle,KS5,maths,OCR,3.03n,8,both | |
| 734,Resolve forces for more advanced problems involving connected particles,Resolve forces for more advanced problems involving connected particles,KS5,maths,OCR,3.03o,8,both | |
| 735,Understand the term ‘resultant’ as applied to two or more forces acting at a point and be,Understand the term ‘resultant’ as applied to two or more forces acting at a point and be,KS5,maths,OCR,3.03p,8,both | |
| 736,Solve problems involving the dynamics of motion for a particle moving,Solve problems involving the dynamics of motion for a particle moving,KS5,maths,OCR,3.03q,8,both | |
| 737,Understand the concept of a frictional force and be able to apply it in contexts,Understand the concept of a frictional force and be able to apply it in contexts,KS5,maths,OCR,3.03r,8,both | |
| 738,Represent the contact force between two rough surfaces by two components (the,Represent the contact force between two rough surfaces by two components (the,KS5,maths,OCR,3.03s,8,both | |
| 739,The coefficient of friction,The coefficient of friction,KS5,maths,OCR,3.03t,8,both | |
| 740,Solve problems regarding the static equilibrium of a body on,Solve problems regarding the static equilibrium of a body on,KS5,maths,OCR,3.03u,8,both | |
| 741,Solve problems regarding the motion of a body on a rough surface,Solve problems regarding the motion of a body on a rough surface,KS5,maths,OCR,3.03v,8,both | |
| 742,Moments,Moments,KS5,maths,OCR,3.04,8,both | |
| 743,Calculate the moment of a force about an axis through a point in the plane,Calculate the moment of a force about an axis through a point in the plane,KS5,maths,OCR,3.04a,8,both | |
| 744,Understand that when a rigid body is in equilibrium the resultant moment is zero,Understand that when a rigid body is in equilibrium the resultant moment is zero,KS5,maths,OCR,3.04b,8,both | |
| 745,Moments in simple static contexts,Moments in simple static contexts,KS5,maths,OCR,3.04c,8,both | |
| 746,Number and Place Value,Number and Place Value,KS2,maths,,,2,both | |
| 747,"Fractions, Decimals and Percentages","Fractions, Decimals and Percentages",KS2,maths,,,2,both | |
| 748,Ratio and Proportion,Ratio and Proportion,KS2,maths,,,2,both | |
| 749,Measurement,Measurement,KS2,maths,,,2,both | |
| 750,Number,Number,KS3,maths,,,4,both | |
| 751,Algebra,Algebra,KS3,maths,,,4,both | |
| 752,"Ratio, proportion and rates of change","Ratio, proportion and rates of change",KS3,maths,,,4,both | |
| 753,Geometry and measures,Geometry and measures,KS3,maths,,,4,both | |
| 754,Probability and statistics,Probability and statistics,KS3,maths,,,4,both | |
| 787,Measures and accuracy,Measures and accuracy,KS4,maths,AQA,3.1.3,6,both | |
| 788,Quantities and units in mechanics,Quantities and units in mechanics,KS5,maths,Edexcel,M6,8,both | |
| 789,Kinematics,Kinematics,KS5,maths,Edexcel,M7,8,both | |
| 790,Forces and Newton’s laws,Forces and Newton’s laws,KS5,maths,Edexcel,M8,8,both | |
| 791,Understand and use the friction model and coefficient of friction,Understand and use the friction model and coefficient of friction,KS5,maths,Edexcel,M8.6,8,both | |
| 792,Moments,Moments,KS5,maths,Edexcel,M9,8,both | |
| 793,Proof,Proof,KS5,maths,Edexcel,P1,8,both | |
| 794,Vectors,Vectors,KS5,maths,Edexcel,P10,8,both | |
| 795,Algebra and functions,Algebra and functions,KS5,maths,Edexcel,P2,8,both | |
| 796,"Coordinate geometry in the (x,y) plane",Coordinate geometry in the plane,KS5,maths,Edexcel,P3,8,both | |
| 797,Sequences and series,Sequences and series,KS5,maths,Edexcel,P4,8,both | |
| 798,Trigonometry,Trigonometry,KS5,maths,Edexcel,P5,8,both | |
| 799,Exponentials and logarithms,Exponentials and logarithms,KS5,maths,Edexcel,P6,8,both | |
| 800,Differentiation,Differentiation,KS5,maths,Edexcel,P7,8,both | |
| 801,Integration,Integration,KS5,maths,Edexcel,P8,8,both | |
| 802,Numerical methods,Numerical methods,KS5,maths,Edexcel,P9,8,both | |
| 803,Statistical sampling,Statistical sampling,KS5,maths,Edexcel,S1,8,both | |
| 804,Data presentation and interpretation,Data presentation and interpretation,KS5,maths,Edexcel,S2,8,both | |
| 805,Interpret diagrams for single-variable data,Interpret diagrams for single-variable data,KS5,maths,Edexcel,S2.1,8,both | |
| 806,"Interpret measures of central tendency and variation, extending to standard deviation","Interpret measures of central tendency and variation, extending to standard deviation",KS5,maths,Edexcel,S2.3,8,both | |
| 807,Recognise and interpret possible outliers in data sets and statistical diagrams,Recognise and interpret possible outliers in data sets and statistical diagrams,KS5,maths,Edexcel,S2.4,8,both | |
| 808,Probability,Probability,KS5,maths,Edexcel,S3,8,both | |
| 809,Understand and use mutually exclusive and independent events when calculating,Understand and use mutually exclusive and independent events when calculating,KS5,maths,Edexcel,S3.1,8,both | |
| 810,"Understand and use conditional probability, including the use of tree diagrams","Understand and use conditional probability, including the use of tree diagrams",KS5,maths,Edexcel,S3.2,8,both | |
| 811,"Modelling with probability, including critiquing assumptions made and the likely effect","Modelling with probability, including critiquing assumptions made and the likely effect",KS5,maths,Edexcel,S3.3,8,both | |
| 812,Statistical distributions,Statistical distributions,KS5,maths,Edexcel,S4,8,both | |
| 813,"Understand and use simple, discrete probability distributions (calculation of mean","Understand and use simple, discrete probability distributions (calculation of mean",KS5,maths,Edexcel,S4.1,8,both | |
| 814,Understand and use the Normal distribution as a model,Understand and use the Normal distribution as a model,KS5,maths,Edexcel,S4.2,8,both | |
| 815,Select an appropriate probability distribution for a context,Select an appropriate probability distribution for a context,KS5,maths,Edexcel,S4.3,8,both | |
| 816,Statistical hypothesis testing,Statistical hypothesis testing,KS5,maths,Edexcel,S5,8,both | |
| 817,Understand and apply the language of statistical hypothesis testing,Understand and apply the language of statistical hypothesis testing,KS5,maths,Edexcel,S5.1,8,both | |
| 818,Conduct a statistical hypothesis test for the mean of a Normal distribution with known,Conduct a statistical hypothesis test for the mean of a Normal distribution with known,KS5,maths,Edexcel,S5.3,8,both | |