| from_concept,to_concept,edge_type,confidence,source,from_stage,from_exam_boards,from_spec_ref,to_stage,to_exam_boards,to_spec_ref,from_id,to_id
|
| Structure and calculation,Number,part_of,1.0,spec_numbering,KS4,AQA,3.1.1,KS4,AQA,3.1,2,1
|
| "Order positive and negative integers, decimals and fractions",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N1,KS4,AQA,3.1.1,3,2
|
| "Order positive and negative integers, decimals and fractions",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N1,KS4,Edexcel,1.1,3,114
|
| "Apply the four operations, including formal written methods, to integers",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N2,KS4,AQA,3.1.1,4,2
|
| "Apply the four operations, including formal written methods, to integers",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N2,KS4,Edexcel,1.1,4,114
|
| "Recognise and use relationships between operations, including inverse operations",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N3,KS4,AQA,3.1.1,5,2
|
| "Recognise and use relationships between operations, including inverse operations",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N3,KS4,Edexcel,1.1,5,114
|
| "Use the concepts and vocabulary of prime numbers, factors (divisors), multiples",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N4,KS4,AQA,3.1.1,6,2
|
| "Use the concepts and vocabulary of prime numbers, factors (divisors), multiples",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N4,KS4,Edexcel,1.1,6,114
|
| Apply systematic listing strategies including use of the product rule for counting,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N5,KS4,AQA,3.1.1,7,2
|
| Apply systematic listing strategies including use of the product rule for counting,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N5,KS4,Edexcel,1.1,7,114
|
| Use positive integer powers and associated real roots (square,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N6,KS4,AQA,3.1.1,8,2
|
| Use positive integer powers and associated real roots (square,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N6,KS4,Edexcel,1.1,8,114
|
| "Calculate with roots, and with integer indices calculate with fractional indices",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N7,KS4,AQA,3.1.1,9,2
|
| "Calculate with roots, and with integer indices calculate with fractional indices",Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N7,KS4,Edexcel,1.1,9,114
|
| Calculate exactly with fractions calculate exactly with multiples,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N8,KS4,AQA,3.1.1,10,2
|
| Calculate exactly with fractions calculate exactly with multiples,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N8,KS4,Edexcel,1.1,10,114
|
| Calculate with and interpret standard form,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N9,KS4,AQA,3.1.1,11,2
|
| Calculate with and interpret standard form,Structure and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N9,KS4,Edexcel,1.1,11,114
|
| "Fractions, decimals and percentages",Number,part_of,1.0,spec_numbering,KS4,AQA,3.1.2,KS4,AQA,3.1,12,1
|
| Work interchangeably with terminating decimals and their corresponding fractions (such as,"Fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N10,KS4,AQA,3.1.2,13,12
|
| Work interchangeably with terminating decimals and their corresponding fractions (such as,"Fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N10,KS4,Edexcel,1.2,13,115
|
| Identify and work with fractions in ratio problems,"Fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N11,KS4,AQA,3.1.2,14,12
|
| Identify and work with fractions in ratio problems,"Fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N11,KS4,Edexcel,1.2,14,115
|
| Interpret fractions and percentages as operators,"Fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N12,KS4,AQA,3.1.2,15,12
|
| Interpret fractions and percentages as operators,"Fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N12,KS4,Edexcel,1.2,15,115
|
| "Use standard units of mass, length, time, money and other measures",Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N13,KS4,Edexcel,1.3,16,116
|
| "Use standard units of mass, length, time, money and other measures",Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N13,KS4,AQA,3.1.3,16,787
|
| Estimate answers,Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N14,KS4,Edexcel,1.3,17,116
|
| Estimate answers,Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N14,KS4,AQA,3.1.3,17,787
|
| Round numbers and measures to an appropriate degree of accuracy,Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N15,KS4,Edexcel,1.3,18,116
|
| Round numbers and measures to an appropriate degree of accuracy,Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N15,KS4,AQA,3.1.3,18,787
|
| Apply and interpret limits of accuracy including upper and lower bounds,Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N16,KS4,Edexcel,1.3,19,116
|
| Apply and interpret limits of accuracy including upper and lower bounds,Measures and accuracy,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",N16,KS4,AQA,3.1.3,19,787
|
| "Notation, vocabulary and manipulation",Algebra,part_of,1.0,spec_numbering,KS4,AQA,3.2.1,KS4,AQA,3.2,21,20
|
| Use and interpret algebraic notation,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A1,KS4,AQA,3.2.1,22,21
|
| Use and interpret algebraic notation,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A1,KS4,Edexcel,2.1,22,118
|
| "Substitute numerical values into formulae and expressions, including scientific formulae","Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A2,KS4,AQA,3.2.1,23,21
|
| "Substitute numerical values into formulae and expressions, including scientific formulae","Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A2,KS4,Edexcel,2.1,23,118
|
| "Understand and use the concepts and vocabulary of expressions, equations","Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A3,KS4,AQA,3.2.1,24,21
|
| "Understand and use the concepts and vocabulary of expressions, equations","Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A3,KS4,Edexcel,2.1,24,118
|
| Simplify and manipulate algebraic expressions,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A4,KS4,AQA,3.2.1,25,21
|
| Simplify and manipulate algebraic expressions,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A4,KS4,Edexcel,2.1,25,118
|
| Understand and use standard mathematical formulae,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A5,KS4,AQA,3.2.1,26,21
|
| Understand and use standard mathematical formulae,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A5,KS4,Edexcel,2.1,26,118
|
| Know the difference between an equation and an identity,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A6,KS4,AQA,3.2.1,27,21
|
| Know the difference between an equation and an identity,"Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A6,KS4,Edexcel,2.1,27,118
|
| "Where appropriate, interpret simple expressions as functions with inputs and outputs","Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A7,KS4,AQA,3.2.1,28,21
|
| "Where appropriate, interpret simple expressions as functions with inputs and outputs","Notation, vocabulary and manipulation",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A7,KS4,Edexcel,2.1,28,118
|
| Graphs,Algebra,part_of,1.0,spec_numbering,KS4,AQA,3.2.2,KS4,AQA,3.2,29,20
|
| Work with coordinates in all four quadrants,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A8,KS4,AQA,3.2.2,30,29
|
| Work with coordinates in all four quadrants,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A8,KS4,Edexcel,2.2,30,119
|
| Plot graphs of equations that correspond to straight-line graphs in the coordinate plane,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A9,KS4,AQA,3.2.2,31,29
|
| Plot graphs of equations that correspond to straight-line graphs in the coordinate plane,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A9,KS4,Edexcel,2.2,31,119
|
| Identify and interpret gradients and intercepts of linear functions graphically,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A10,KS4,AQA,3.2.2,32,29
|
| Identify and interpret gradients and intercepts of linear functions graphically,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A10,KS4,Edexcel,2.2,32,119
|
| "Identify and interpret roots, intercepts and turning points of quadratic functions",Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A11,KS4,AQA,3.2.2,33,29
|
| "Identify and interpret roots, intercepts and turning points of quadratic functions",Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A11,KS4,Edexcel,2.2,33,119
|
| "Recognise, sketch and interpret graphs of linear functions and quadratic functions",Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A12,KS4,AQA,3.2.2,34,29
|
| "Recognise, sketch and interpret graphs of linear functions and quadratic functions",Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A12,KS4,Edexcel,2.2,34,119
|
| Sketch translations and reflections of a given function,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A13,KS4,AQA,3.2.2,35,29
|
| Sketch translations and reflections of a given function,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A13,KS4,Edexcel,2.2,35,119
|
| "Plot and interpret graphs, and graphs of non-standard functions in real contexts",Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A14,KS4,AQA,3.2.2,36,29
|
| "Plot and interpret graphs, and graphs of non-standard functions in real contexts",Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A14,KS4,Edexcel,2.2,36,119
|
| Calculate or estimate gradients of graphs and areas under graphs,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A15,KS4,AQA,3.2.2,37,29
|
| Calculate or estimate gradients of graphs and areas under graphs,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A15,KS4,Edexcel,2.2,37,119
|
| Recognise and use the equation of a circle with centre at the origin,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A16,KS4,AQA,3.2.2,38,29
|
| Recognise and use the equation of a circle with centre at the origin,Graphs,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A16,KS4,Edexcel,2.2,38,119
|
| Solving equations and inequalities,Algebra,part_of,1.0,spec_numbering,KS4,AQA,3.2.3,KS4,AQA,3.2,39,20
|
| Solve linear equations in one unknown algebraically,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A17,KS4,AQA,3.2.3,40,39
|
| Solve linear equations in one unknown algebraically,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A17,KS4,Edexcel,2.3,40,120
|
| Solve quadratic equations algebraically by factorising including those that require,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A18,KS4,AQA,3.2.3,41,39
|
| Solve quadratic equations algebraically by factorising including those that require,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A18,KS4,Edexcel,2.3,41,120
|
| Solve two simultaneous equations in two variables (linear/linear) algebraically,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A19,KS4,AQA,3.2.3,42,39
|
| Solve two simultaneous equations in two variables (linear/linear) algebraically,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A19,KS4,Edexcel,2.3,42,120
|
| Find approximate solutions to equations numerically using iteration,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A20,KS4,AQA,3.2.3,43,39
|
| Find approximate solutions to equations numerically using iteration,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A20,KS4,Edexcel,2.3,43,120
|
| Translate simple situations or procedures into algebraic expressions or formulae,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A21,KS4,AQA,3.2.3,44,39
|
| Translate simple situations or procedures into algebraic expressions or formulae,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A21,KS4,Edexcel,2.3,44,120
|
| Solve linear inequalities in one variable solve linear inequalities in one or two,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A22,KS4,AQA,3.2.3,45,39
|
| Solve linear inequalities in one variable solve linear inequalities in one or two,Solving equations and inequalities,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A22,KS4,Edexcel,2.3,45,120
|
| Sequences,Algebra,part_of,1.0,spec_numbering,KS4,AQA,3.2.4,KS4,AQA,3.2,46,20
|
| Generate terms of a sequence from either a term-to-term or a position-to-term rule,Sequences,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A23,KS4,AQA,3.2.4,47,46
|
| Generate terms of a sequence from either a term-to-term or a position-to-term rule,Sequences,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A23,KS4,Edexcel,2.4,47,121
|
| Recognise and use sequences of triangular,Sequences,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A24,KS4,AQA,3.2.4,48,46
|
| Recognise and use sequences of triangular,Sequences,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A24,KS4,Edexcel,2.4,48,121
|
| Deduce expressions to calculate the nth term of linear sequences including quadratic,Sequences,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A25,KS4,AQA,3.2.4,49,46
|
| Deduce expressions to calculate the nth term of linear sequences including quadratic,Sequences,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",A25,KS4,Edexcel,2.4,49,121
|
| Change freely between related standard units,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R1,KS4,AQA,3.3,51,50
|
| Change freely between related standard units,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R1,KS4,Edexcel,3,51,122
|
| "Use scale factors, scale diagrams and maps","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R2,KS4,AQA,3.3,52,50
|
| "Use scale factors, scale diagrams and maps","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R2,KS4,Edexcel,3,52,122
|
| Express one quantity as a fraction of another,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R3,KS4,AQA,3.3,53,50
|
| Express one quantity as a fraction of another,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R3,KS4,Edexcel,3,53,122
|
| "Use ratio notation, including reduction to simplest form","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R4,KS4,AQA,3.3,54,50
|
| "Use ratio notation, including reduction to simplest form","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R4,KS4,Edexcel,3,54,122
|
| Divide a given quantity into two parts in a given part,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R5,KS4,AQA,3.3,55,50
|
| Divide a given quantity into two parts in a given part,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R5,KS4,Edexcel,3,55,122
|
| Express a multiplicative relationship between two quantities as a ratio or a fraction,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R6,KS4,AQA,3.3,56,50
|
| Express a multiplicative relationship between two quantities as a ratio or a fraction,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R6,KS4,Edexcel,3,56,122
|
| Understand and use proportion as equality of ratios,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R7,KS4,AQA,3.3,57,50
|
| Understand and use proportion as equality of ratios,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R7,KS4,Edexcel,3,57,122
|
| Relate ratios to fractions and to linear functions,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R8,KS4,AQA,3.3,58,50
|
| Relate ratios to fractions and to linear functions,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R8,KS4,Edexcel,3,58,122
|
| Define percentage as ‘number of parts per hundred’,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R9,KS4,AQA,3.3,59,50
|
| Define percentage as ‘number of parts per hundred’,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R9,KS4,Edexcel,3,59,122
|
| Solve problems involving direct and inverse proportion,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R10,KS4,AQA,3.3,60,50
|
| Solve problems involving direct and inverse proportion,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R10,KS4,Edexcel,3,60,122
|
| "Use compound units such as speed, rates of pay","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R11,KS4,AQA,3.3,61,50
|
| "Use compound units such as speed, rates of pay","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R11,KS4,Edexcel,3,61,122
|
| "Compare lengths, areas and volumes using ratio notation","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R12,KS4,AQA,3.3,62,50
|
| "Compare lengths, areas and volumes using ratio notation","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R12,KS4,Edexcel,3,62,122
|
| Understand that X is inversely proportional to Y is equivalent,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R13,KS4,AQA,3.3,63,50
|
| Understand that X is inversely proportional to Y is equivalent,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R13,KS4,Edexcel,3,63,122
|
| Interpret the gradient of a straight-line graph as a rate of change,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R14,KS4,AQA,3.3,64,50
|
| Interpret the gradient of a straight-line graph as a rate of change,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R14,KS4,Edexcel,3,64,122
|
| Interpret the gradient at a point on a curve as the instantaneous rate of change,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R15,KS4,AQA,3.3,65,50
|
| Interpret the gradient at a point on a curve as the instantaneous rate of change,"Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R15,KS4,Edexcel,3,65,122
|
| "Set up, solve and interpret the answers in growth and decay problems","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R16,KS4,AQA,3.3,66,50
|
| "Set up, solve and interpret the answers in growth and decay problems","Ratio, proportion and rates of change",part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",R16,KS4,Edexcel,3,66,122
|
| Properties and constructions,Geometry and measures,part_of,1.0,spec_numbering,KS4,AQA,3.4.1,KS4,AQA,3.4,68,67
|
| Use conventional terms and notations,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G1,KS4,AQA,3.4.1,69,68
|
| Use conventional terms and notations,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G1,KS4,Edexcel,4.1,69,124
|
| Use the standard ruler and compass constructions (perpendicular bisector of a line,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G2,KS4,AQA,3.4.1,70,68
|
| Use the standard ruler and compass constructions (perpendicular bisector of a line,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G2,KS4,Edexcel,4.1,70,124
|
| Apply the properties of angles at a point,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G3,KS4,AQA,3.4.1,71,68
|
| Apply the properties of angles at a point,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G3,KS4,Edexcel,4.1,71,124
|
| Derive and apply the properties and definitions,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G4,KS4,AQA,3.4.1,72,68
|
| Derive and apply the properties and definitions,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G4,KS4,Edexcel,4.1,72,124
|
| "Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G5,KS4,AQA,3.4.1,73,68
|
| "Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G5,KS4,Edexcel,4.1,73,124
|
| "Apply angle facts, triangle congruence",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G6,KS4,AQA,3.4.1,74,68
|
| "Apply angle facts, triangle congruence",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G6,KS4,Edexcel,4.1,74,124
|
| "Identify, describe and construct congruent and similar shapes",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G7,KS4,AQA,3.4.1,75,68
|
| "Identify, describe and construct congruent and similar shapes",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G7,KS4,Edexcel,4.1,75,124
|
| Describe the changes and invariance achieved by combinations of rotations,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G8,KS4,AQA,3.4.1,76,68
|
| Describe the changes and invariance achieved by combinations of rotations,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G8,KS4,Edexcel,4.1,76,124
|
| Identify and apply circle definitions and properties,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G9,KS4,AQA,3.4.1,77,68
|
| Identify and apply circle definitions and properties,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G9,KS4,Edexcel,4.1,77,124
|
| "Apply and prove the standard circle theorems concerning angles, radii",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G10,KS4,AQA,3.4.1,78,68
|
| "Apply and prove the standard circle theorems concerning angles, radii",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G10,KS4,Edexcel,4.1,78,124
|
| Solve geometrical problems on coordinate axes,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G11,KS4,AQA,3.4.1,79,68
|
| Solve geometrical problems on coordinate axes,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G11,KS4,Edexcel,4.1,79,124
|
| "Identify properties of the faces, surfaces, edges and vertices",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G12,KS4,AQA,3.4.1,80,68
|
| "Identify properties of the faces, surfaces, edges and vertices",Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G12,KS4,Edexcel,4.1,80,124
|
| Interpret plans and elevations of 3D shapes construct and interpret plans and elevations,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G13,KS4,AQA,3.4.1,81,68
|
| Interpret plans and elevations of 3D shapes construct and interpret plans and elevations,Properties and constructions,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G13,KS4,Edexcel,4.1,81,124
|
| Mensuration and calculation,Geometry and measures,part_of,1.0,spec_numbering,KS4,AQA,3.4.2,KS4,AQA,3.4,82,67
|
| "Use standard units of measure and related concepts (length, area, volume/capacity",Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G14,KS4,AQA,3.4.2,83,82
|
| "Use standard units of measure and related concepts (length, area, volume/capacity",Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G14,KS4,Edexcel,4.2,83,125
|
| Measure line segments and angles in geometric figures,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G15,KS4,AQA,3.4.2,84,82
|
| Measure line segments and angles in geometric figures,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G15,KS4,Edexcel,4.2,84,125
|
| Know and apply formulae to calculate,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G16,KS4,AQA,3.4.2,85,82
|
| Know and apply formulae to calculate,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G16,KS4,Edexcel,4.2,85,125
|
| Know the formulae: circumference of a circle,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G17,KS4,AQA,3.4.2,86,82
|
| Know the formulae: circumference of a circle,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G17,KS4,Edexcel,4.2,86,125
|
| "Calculate arc lengths, angles and areas of sectors of circles",Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G18,KS4,AQA,3.4.2,87,82
|
| "Calculate arc lengths, angles and areas of sectors of circles",Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G18,KS4,Edexcel,4.2,87,125
|
| Apply the concepts of congruence and similarity,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G19,KS4,AQA,3.4.2,88,82
|
| Apply the concepts of congruence and similarity,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G19,KS4,Edexcel,4.2,88,125
|
| Know the formulae,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G20,KS4,AQA,3.4.2,89,82
|
| Know the formulae,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G20,KS4,Edexcel,4.2,89,125
|
| Know the exact values of sin and cos,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G21,KS4,AQA,3.4.2,90,82
|
| Know the exact values of sin and cos,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G21,KS4,Edexcel,4.2,90,125
|
| Know and apply the sine rule,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G22,KS4,AQA,3.4.2,91,82
|
| Know and apply the sine rule,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G22,KS4,Edexcel,4.2,91,125
|
| Know and apply,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G23,KS4,AQA,3.4.2,92,82
|
| Know and apply,Mensuration and calculation,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G23,KS4,Edexcel,4.2,92,125
|
| Vectors,Geometry and measures,part_of,1.0,spec_numbering,KS4,AQA,3.4.3,KS4,AQA,3.4,93,67
|
| Describe translations as 2D vectors,Vectors,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G24,KS4,AQA,3.4.3,94,93
|
| Describe translations as 2D vectors,Vectors,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G24,KS4,Edexcel,4.3,94,126
|
| "Apply addition and subtraction of vectors, multiplication of vectors by a scalar",Vectors,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G25,KS4,AQA,3.4.3,95,93
|
| "Apply addition and subtraction of vectors, multiplication of vectors by a scalar",Vectors,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",G25,KS4,Edexcel,4.3,95,126
|
| "Record, describe and analyse the frequency of outcomes of probability experiments using",Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P1,KS4,AQA,3.5,97,96
|
| "Record, describe and analyse the frequency of outcomes of probability experiments using",Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P1,KS4,Edexcel,5,97,127
|
| "Apply ideas of randomness, fairness and equally likely events to calculate expected",Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P2,KS4,AQA,3.5,98,96
|
| "Apply ideas of randomness, fairness and equally likely events to calculate expected",Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P2,KS4,Edexcel,5,98,127
|
| Relate relative expected frequencies to theoretical probability,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P3,KS4,AQA,3.5,99,96
|
| Relate relative expected frequencies to theoretical probability,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P3,KS4,Edexcel,5,99,127
|
| Apply the property that the probabilities of an exhaustive set of outcomes sum to 1,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P4,KS4,AQA,3.5,100,96
|
| Apply the property that the probabilities of an exhaustive set of outcomes sum to 1,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P4,KS4,Edexcel,5,100,127
|
| Understand that empirical unbiased samples tend towards theoretical probability,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P5,KS4,AQA,3.5,101,96
|
| Understand that empirical unbiased samples tend towards theoretical probability,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P5,KS4,Edexcel,5,101,127
|
| "Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams",Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P6,KS4,AQA,3.5,102,96
|
| "Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams",Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P6,KS4,Edexcel,5,102,127
|
| Construct theoretical possibility spaces for single and combined experiments with equally,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P7,KS4,AQA,3.5,103,96
|
| Construct theoretical possibility spaces for single and combined experiments with equally,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P7,KS4,Edexcel,5,103,127
|
| Calculate the probability of independent and dependent combined events,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P8,KS4,AQA,3.5,104,96
|
| Calculate the probability of independent and dependent combined events,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P8,KS4,Edexcel,5,104,127
|
| Calculate and interpret conditional probabilities through representation using expected,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P9,KS4,AQA,3.5,105,96
|
| Calculate and interpret conditional probabilities through representation using expected,Probability,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",P9,KS4,Edexcel,5,105,127
|
| Infer properties of populations or distributions from a sample,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S1,KS4,AQA,3.6,107,106
|
| Infer properties of populations or distributions from a sample,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S1,KS4,Edexcel,6,107,128
|
| "Interpret and construct tables, charts and diagrams, including frequency tables",Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S2,KS4,AQA,3.6,108,106
|
| "Interpret and construct tables, charts and diagrams, including frequency tables",Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S2,KS4,Edexcel,6,108,128
|
| Construct and interpret diagrams for grouped discrete data and continuous data,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S3,KS4,AQA,3.6,109,106
|
| Construct and interpret diagrams for grouped discrete data and continuous data,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S3,KS4,Edexcel,6,109,128
|
| "Interpret, analyse and compare the distributions of data sets from univariate empirical",Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S4,KS4,AQA,3.6,110,106
|
| "Interpret, analyse and compare the distributions of data sets from univariate empirical",Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S4,KS4,Edexcel,6,110,128
|
| Apply statistics to describe a population,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S5,KS4,AQA,3.6,111,106
|
| Apply statistics to describe a population,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S5,KS4,Edexcel,6,111,128
|
| Use and interpret scatter graphs of bivariate data,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S6,KS4,AQA,3.6,112,106
|
| Use and interpret scatter graphs of bivariate data,Statistics,part_of,1.0,spec_numbering,KS4,"AQA,Edexcel",S6,KS4,Edexcel,6,112,128
|
| Structure and calculation,Number,part_of,1.0,spec_numbering,KS4,Edexcel,1.1,KS4,Edexcel,1,114,113
|
| "Fractions, decimals and percentages",Number,part_of,1.0,spec_numbering,KS4,Edexcel,1.2,KS4,Edexcel,1,115,113
|
| Measures and accuracy,Number,part_of,1.0,spec_numbering,KS4,Edexcel,1.3,KS4,Edexcel,1,116,113
|
| "Notation, vocabulary and manipulation",Algebra,part_of,1.0,spec_numbering,KS4,Edexcel,2.1,KS4,Edexcel,2,118,117
|
| Graphs,Algebra,part_of,1.0,spec_numbering,KS4,Edexcel,2.2,KS4,Edexcel,2,119,117
|
| Solving equations and inequalities,Algebra,part_of,1.0,spec_numbering,KS4,Edexcel,2.3,KS4,Edexcel,2,120,117
|
| Sequences,Algebra,part_of,1.0,spec_numbering,KS4,Edexcel,2.4,KS4,Edexcel,2,121,117
|
| Properties and constructions,Geometry and measures,part_of,1.0,spec_numbering,KS4,Edexcel,4.1,KS4,Edexcel,4,124,123
|
| Mensuration and calculation,Geometry and measures,part_of,1.0,spec_numbering,KS4,Edexcel,4.2,KS4,Edexcel,4,125,123
|
| Vectors,Geometry and measures,part_of,1.0,spec_numbering,KS4,Edexcel,4.3,KS4,Edexcel,4,126,123
|
| Calculations with integers,Number Operations and Integers,part_of,1.0,spec_numbering,KS4,OCR,1.01,KS4,OCR,1,130,129
|
| Four rules,Calculations with integers,part_of,1.0,spec_numbering,KS4,OCR,1.01a,KS4,OCR,1.01,131,130
|
| Whole number theory,Number Operations and Integers,part_of,1.0,spec_numbering,KS4,OCR,1.02,KS4,OCR,1,132,129
|
| Definitions and terms,Whole number theory,part_of,1.0,spec_numbering,KS4,OCR,1.02a,KS4,OCR,1.02,133,132
|
| Prime numbers,Whole number theory,part_of,1.0,spec_numbering,KS4,OCR,1.02b,KS4,OCR,1.02,134,132
|
| Highest Common Factor (HCF) and,Whole number theory,part_of,1.0,spec_numbering,KS4,OCR,1.02c,KS4,OCR,1.02,135,132
|
| Combining arithmetic operations,Number Operations and Integers,part_of,1.0,spec_numbering,KS4,OCR,1.03,KS4,OCR,1,136,129
|
| Priority of operations,Combining arithmetic operations,part_of,1.0,spec_numbering,KS4,OCR,1.03a,KS4,OCR,1.03,137,136
|
| Inverse operations,Number Operations and Integers,part_of,1.0,spec_numbering,KS4,OCR,1.04,KS4,OCR,1,138,129
|
| Inverse operations,Inverse operations,part_of,1.0,spec_numbering,KS4,OCR,1.04a,KS4,OCR,1.04,139,138
|
| Fractions,"Fractions, Decimals and Percentages",part_of,1.0,spec_numbering,KS4,OCR,2.01,KS4,OCR,2,141,140
|
| Equivalent fractions,Fractions,part_of,1.0,spec_numbering,KS4,OCR,2.01a,KS4,OCR,2.01,142,141
|
| Calculations with fractions,Fractions,part_of,1.0,spec_numbering,KS4,OCR,2.01b,KS4,OCR,2.01,143,141
|
| Fractions of a quantity,Fractions,part_of,1.0,spec_numbering,KS4,OCR,2.01c,KS4,OCR,2.01,144,141
|
| Decimal fractions,"Fractions, Decimals and Percentages",part_of,1.0,spec_numbering,KS4,OCR,2.02,KS4,OCR,2,145,140
|
| Decimals and fractions,Decimal fractions,part_of,1.0,spec_numbering,KS4,OCR,2.02a,KS4,OCR,2.02,146,145
|
| "Addition, subtraction and multiplication",Decimal fractions,part_of,1.0,spec_numbering,KS4,OCR,2.02b,KS4,OCR,2.02,147,145
|
| Division of decimals,Decimal fractions,part_of,1.0,spec_numbering,KS4,OCR,2.02c,KS4,OCR,2.02,148,145
|
| Percentages,"Fractions, Decimals and Percentages",part_of,1.0,spec_numbering,KS4,OCR,2.03,KS4,OCR,2,149,140
|
| Percentage conversions,Percentages,part_of,1.0,spec_numbering,KS4,OCR,2.03a,KS4,OCR,2.03,150,149
|
| Percentage calculations,Percentages,part_of,1.0,spec_numbering,KS4,OCR,2.03b,KS4,OCR,2.03,151,149
|
| Percentage change,Percentages,part_of,1.0,spec_numbering,KS4,OCR,2.03c,KS4,OCR,2.03,152,149
|
| "Ordering fractions, decimals and percentages","Fractions, Decimals and Percentages",part_of,1.0,spec_numbering,KS4,OCR,2.04,KS4,OCR,2,153,140
|
| Ordinality,"Ordering fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,OCR,2.04a,KS4,OCR,2.04,154,153
|
| Symbols,"Ordering fractions, decimals and percentages",part_of,1.0,spec_numbering,KS4,OCR,2.04b,KS4,OCR,2.04,155,153
|
| Powers and roots,Indices and Surds,part_of,1.0,spec_numbering,KS4,OCR,3.01,KS4,OCR,3,157,156
|
| Index notation,Powers and roots,part_of,1.0,spec_numbering,KS4,OCR,3.01a,KS4,OCR,3.01,158,157
|
| Calculation and estimation of powers,Powers and roots,part_of,1.0,spec_numbering,KS4,OCR,3.01b,KS4,OCR,3.01,159,157
|
| Laws of indices,Powers and roots,part_of,1.0,spec_numbering,KS4,OCR,3.01c,KS4,OCR,3.01,160,157
|
| Standard form,Indices and Surds,part_of,1.0,spec_numbering,KS4,OCR,3.02,KS4,OCR,3,161,156
|
| Standard form,Standard form,part_of,1.0,spec_numbering,KS4,OCR,3.02a,KS4,OCR,3.02,162,161
|
| Calculations with numbers in standard,Standard form,part_of,1.0,spec_numbering,KS4,OCR,3.02b,KS4,OCR,3.02,163,161
|
| Exact calculations,Indices and Surds,part_of,1.0,spec_numbering,KS4,OCR,3.03,KS4,OCR,3,164,156
|
| Exact calculations,Exact calculations,part_of,1.0,spec_numbering,KS4,OCR,3.03a,KS4,OCR,3.03,165,164
|
| Manipulating surds,Exact calculations,part_of,1.0,spec_numbering,KS4,OCR,3.03b,KS4,OCR,3.03,166,164
|
| Approximation and estimation,Approximation and Estimation,part_of,1.0,spec_numbering,KS4,OCR,4.01,KS4,OCR,4,168,167
|
| Rounding,Approximation and estimation,part_of,1.0,spec_numbering,KS4,OCR,4.01a,KS4,OCR,4.01,169,168
|
| Estimation,Approximation and estimation,part_of,1.0,spec_numbering,KS4,OCR,4.01b,KS4,OCR,4.01,170,168
|
| Upper and lower bounds,Approximation and estimation,part_of,1.0,spec_numbering,KS4,OCR,4.01c,KS4,OCR,4.01,171,168
|
| Calculations with ratio,"Ratio, Proportion and Rates Of Change",part_of,1.0,spec_numbering,KS4,OCR,5.01,KS4,OCR,5,173,172
|
| Equivalent ratios,Calculations with ratio,part_of,1.0,spec_numbering,KS4,OCR,5.01a,KS4,OCR,5.01,174,173
|
| Division in a given ratio,Calculations with ratio,part_of,1.0,spec_numbering,KS4,OCR,5.01b,KS4,OCR,5.01,175,173
|
| Ratios and fractions,Calculations with ratio,part_of,1.0,spec_numbering,KS4,OCR,5.01c,KS4,OCR,5.01,176,173
|
| Solve ratio and proportion problems,Calculations with ratio,part_of,1.0,spec_numbering,KS4,OCR,5.01d,KS4,OCR,5.01,177,173
|
| Direct and inverse proportion,"Ratio, Proportion and Rates Of Change",part_of,1.0,spec_numbering,KS4,OCR,5.02,KS4,OCR,5,178,172
|
| Direct proportion,Direct and inverse proportion,part_of,1.0,spec_numbering,KS4,OCR,5.02a,KS4,OCR,5.02,179,178
|
| Inverse proportion,Direct and inverse proportion,part_of,1.0,spec_numbering,KS4,OCR,5.02b,KS4,OCR,5.02,180,178
|
| Discrete growth and decay,"Ratio, Proportion and Rates Of Change",part_of,1.0,spec_numbering,KS4,OCR,5.03,KS4,OCR,5,181,172
|
| Growth and decay,Discrete growth and decay,part_of,1.0,spec_numbering,KS4,OCR,5.03a,KS4,OCR,5.03,182,181
|
| Algebraic expressions,Algebra,part_of,1.0,spec_numbering,KS4,OCR,6.01,KS4,OCR,6,184,183
|
| Algebraic terminology and proofs,Algebraic expressions,part_of,1.0,spec_numbering,KS4,OCR,6.01a,KS4,OCR,6.01,185,184
|
| Collecting like terms in sums and,Algebraic expressions,part_of,1.0,spec_numbering,KS4,OCR,6.01b,KS4,OCR,6.01,186,184
|
| Simplifying products and quotients,Algebraic expressions,part_of,1.0,spec_numbering,KS4,OCR,6.01c,KS4,OCR,6.01,187,184
|
| Multiplying out brackets,Algebraic expressions,part_of,1.0,spec_numbering,KS4,OCR,6.01d,KS4,OCR,6.01,188,184
|
| Factorising,Algebraic expressions,part_of,1.0,spec_numbering,KS4,OCR,6.01e,KS4,OCR,6.01,189,184
|
| Completing the square,Algebraic expressions,part_of,1.0,spec_numbering,KS4,OCR,6.01f,KS4,OCR,6.01,190,184
|
| Algebraic fractions,Algebraic expressions,part_of,1.0,spec_numbering,KS4,OCR,6.01g,KS4,OCR,6.01,191,184
|
| Algebraic formulae,Algebra,part_of,1.0,spec_numbering,KS4,OCR,6.02,KS4,OCR,6,192,183
|
| Formulate algebraic expressions,Algebraic formulae,part_of,1.0,spec_numbering,KS4,OCR,6.02a,KS4,OCR,6.02,193,192
|
| Substitute numerical values into,Algebraic formulae,part_of,1.0,spec_numbering,KS4,OCR,6.02b,KS4,OCR,6.02,194,192
|
| Change the subject of a formula,Algebraic formulae,part_of,1.0,spec_numbering,KS4,OCR,6.02c,KS4,OCR,6.02,195,192
|
| Recall and use standard formulae,Algebraic formulae,part_of,1.0,spec_numbering,KS4,OCR,6.02d,KS4,OCR,6.02,196,192
|
| Use kinematics formulae,Algebraic formulae,part_of,1.0,spec_numbering,KS4,OCR,6.02e,KS4,OCR,6.02,197,192
|
| Algebraic equations,Algebra,part_of,1.0,spec_numbering,KS4,OCR,6.03,KS4,OCR,6,198,183
|
| Linear equations in one unknown,Algebraic equations,part_of,1.0,spec_numbering,KS4,OCR,6.03a,KS4,OCR,6.03,199,198
|
| Quadratic equations,Algebraic equations,part_of,1.0,spec_numbering,KS4,OCR,6.03b,KS4,OCR,6.03,200,198
|
| Simultaneous equations,Algebraic equations,part_of,1.0,spec_numbering,KS4,OCR,6.03c,KS4,OCR,6.03,201,198
|
| Approximate solutions using a graph,Algebraic equations,part_of,1.0,spec_numbering,KS4,OCR,6.03d,KS4,OCR,6.03,202,198
|
| Approximate solutions by iteration,Algebraic equations,part_of,1.0,spec_numbering,KS4,OCR,6.03e,KS4,OCR,6.03,203,198
|
| Algebraic inequalities,Algebra,part_of,1.0,spec_numbering,KS4,OCR,6.04,KS4,OCR,6,204,183
|
| Inequalities in one variable,Algebraic inequalities,part_of,1.0,spec_numbering,KS4,OCR,6.04a,KS4,OCR,6.04,205,204
|
| Inequalities in two variables,Algebraic inequalities,part_of,1.0,spec_numbering,KS4,OCR,6.04b,KS4,OCR,6.04,206,204
|
| Language of functions,Algebra,part_of,1.0,spec_numbering,KS4,OCR,6.05,KS4,OCR,6,207,183
|
| Functions,Language of functions,part_of,1.0,spec_numbering,KS4,OCR,6.05a,KS4,OCR,6.05,208,207
|
| Sequences,Algebra,part_of,1.0,spec_numbering,KS4,OCR,6.06,KS4,OCR,6,209,183
|
| Generate terms of a sequence,Sequences,part_of,1.0,spec_numbering,KS4,OCR,6.06a,KS4,OCR,6.06,210,209
|
| Special sequences,Sequences,part_of,1.0,spec_numbering,KS4,OCR,6.06b,KS4,OCR,6.06,211,209
|
| Graphs of equations and functions,Graphs of Equations and Functions,part_of,1.0,spec_numbering,KS4,OCR,7.01,KS4,OCR,7,213,212
|
| x- and y-coordinates,Graphs of equations and functions,part_of,1.0,spec_numbering,KS4,OCR,7.01a,KS4,OCR,7.01,214,213
|
| Graphs of equations and functions,Graphs of equations and functions,part_of,1.0,spec_numbering,KS4,OCR,7.01b,KS4,OCR,7.01,215,213
|
| Polynomial and reciprocal functions,Graphs of equations and functions,part_of,1.0,spec_numbering,KS4,OCR,7.01c,KS4,OCR,7.01,216,213
|
| Exponential functions,Graphs of equations and functions,part_of,1.0,spec_numbering,KS4,OCR,7.01d,KS4,OCR,7.01,217,213
|
| Trigonometric functions,Graphs of equations and functions,part_of,1.0,spec_numbering,KS4,OCR,7.01e,KS4,OCR,7.01,218,213
|
| Equations of circles,Graphs of equations and functions,part_of,1.0,spec_numbering,KS4,OCR,7.01f,KS4,OCR,7.01,219,213
|
| Straight line graphs,Graphs of Equations and Functions,part_of,1.0,spec_numbering,KS4,OCR,7.02,KS4,OCR,7,220,212
|
| Straight line graphs,Straight line graphs,part_of,1.0,spec_numbering,KS4,OCR,7.02a,KS4,OCR,7.02,221,220
|
| Parallel and perpendicular lines,Straight line graphs,part_of,1.0,spec_numbering,KS4,OCR,7.02b,KS4,OCR,7.02,222,220
|
| Transformations of curves and their equations,Graphs of Equations and Functions,part_of,1.0,spec_numbering,KS4,OCR,7.03,KS4,OCR,7,223,212
|
| Translations and reflections,Transformations of curves and their equations,part_of,1.0,spec_numbering,KS4,OCR,7.03a,KS4,OCR,7.03,224,223
|
| Interpreting graphs,Graphs of Equations and Functions,part_of,1.0,spec_numbering,KS4,OCR,7.04,KS4,OCR,7,225,212
|
| Graphs of real-world contexts,Interpreting graphs,part_of,1.0,spec_numbering,KS4,OCR,7.04a,KS4,OCR,7.04,226,225
|
| Gradients,Interpreting graphs,part_of,1.0,spec_numbering,KS4,OCR,7.04b,KS4,OCR,7.04,227,225
|
| Areas,Interpreting graphs,part_of,1.0,spec_numbering,KS4,OCR,7.04c,KS4,OCR,7.04,228,225
|
| "Conventions, notation and terms",Basic Geometry,part_of,1.0,spec_numbering,KS4,OCR,8.01,KS4,OCR,8,230,229
|
| 2D and 3D shapes,"Conventions, notation and terms",part_of,1.0,spec_numbering,KS4,OCR,8.01a,KS4,OCR,8.01,231,230
|
| Angles,"Conventions, notation and terms",part_of,1.0,spec_numbering,KS4,OCR,8.01b,KS4,OCR,8.01,232,230
|
| Polygons,"Conventions, notation and terms",part_of,1.0,spec_numbering,KS4,OCR,8.01c,KS4,OCR,8.01,233,230
|
| Polyhedra and other solids,"Conventions, notation and terms",part_of,1.0,spec_numbering,KS4,OCR,8.01d,KS4,OCR,8.01,234,230
|
| Diagrams,"Conventions, notation and terms",part_of,1.0,spec_numbering,KS4,OCR,8.01e,KS4,OCR,8.01,235,230
|
| Geometrical instruments,"Conventions, notation and terms",part_of,1.0,spec_numbering,KS4,OCR,8.01f,KS4,OCR,8.01,236,230
|
| x- and y-coordinates,"Conventions, notation and terms",part_of,1.0,spec_numbering,KS4,OCR,8.01g,KS4,OCR,8.01,237,230
|
| Ruler and compass constructions,Basic Geometry,part_of,1.0,spec_numbering,KS4,OCR,8.02,KS4,OCR,8,238,229
|
| Perpendicular bisector,Ruler and compass constructions,part_of,1.0,spec_numbering,KS4,OCR,8.02a,KS4,OCR,8.02,239,238
|
| Angle bisector,Ruler and compass constructions,part_of,1.0,spec_numbering,KS4,OCR,8.02b,KS4,OCR,8.02,240,238
|
| Perpendicular from a point to a line,Ruler and compass constructions,part_of,1.0,spec_numbering,KS4,OCR,8.02c,KS4,OCR,8.02,241,238
|
| Loci,Ruler and compass constructions,part_of,1.0,spec_numbering,KS4,OCR,8.02d,KS4,OCR,8.02,242,238
|
| Angles,Basic Geometry,part_of,1.0,spec_numbering,KS4,OCR,8.03,KS4,OCR,8,243,229
|
| Angles at a point,Angles,part_of,1.0,spec_numbering,KS4,OCR,8.03a,KS4,OCR,8.03,244,243
|
| Angles on a line,Angles,part_of,1.0,spec_numbering,KS4,OCR,8.03b,KS4,OCR,8.03,245,243
|
| Angles between intersecting and parallel,Angles,part_of,1.0,spec_numbering,KS4,OCR,8.03c,KS4,OCR,8.03,246,243
|
| Angles in polygons,Angles,part_of,1.0,spec_numbering,KS4,OCR,8.03d,KS4,OCR,8.03,247,243
|
| Properties of polygons,Basic Geometry,part_of,1.0,spec_numbering,KS4,OCR,8.04,KS4,OCR,8,248,229
|
| Properties of a triangle,Properties of polygons,part_of,1.0,spec_numbering,KS4,OCR,8.04a,KS4,OCR,8.04,249,248
|
| Properties of quadrilaterals,Properties of polygons,part_of,1.0,spec_numbering,KS4,OCR,8.04b,KS4,OCR,8.04,250,248
|
| Symmetry,Properties of polygons,part_of,1.0,spec_numbering,KS4,OCR,8.04c,KS4,OCR,8.04,251,248
|
| Circles,Basic Geometry,part_of,1.0,spec_numbering,KS4,OCR,8.05,KS4,OCR,8,252,229
|
| Circle nomenclature,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05a,KS4,OCR,8.05,253,252
|
| Angles subtended at centre and,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05b,KS4,OCR,8.05,254,252
|
| Angle in a semicircle,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05c,KS4,OCR,8.05,255,252
|
| Angles in the same segment,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05d,KS4,OCR,8.05,256,252
|
| Angle between radius and chord,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05e,KS4,OCR,8.05,257,252
|
| Angle between radius and tangent,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05f,KS4,OCR,8.05,258,252
|
| The alternate segment theorem,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05g,KS4,OCR,8.05,259,252
|
| Cyclic quadrilaterals,Circles,part_of,1.0,spec_numbering,KS4,OCR,8.05h,KS4,OCR,8.05,260,252
|
| Three-dimensional shapes,Basic Geometry,part_of,1.0,spec_numbering,KS4,OCR,8.06,KS4,OCR,8,261,229
|
| 3-dimensional solids,Three-dimensional shapes,part_of,1.0,spec_numbering,KS4,OCR,8.06a,KS4,OCR,8.06,262,261
|
| Plans and elevations,Three-dimensional shapes,part_of,1.0,spec_numbering,KS4,OCR,8.06b,KS4,OCR,8.06,263,261
|
| Plane isometric transformations,Congruence and Similarity,part_of,1.0,spec_numbering,KS4,OCR,9.01,KS4,OCR,9,265,264
|
| Reflection,Plane isometric transformations,part_of,1.0,spec_numbering,KS4,OCR,9.01a,KS4,OCR,9.01,266,265
|
| Rotation,Plane isometric transformations,part_of,1.0,spec_numbering,KS4,OCR,9.01b,KS4,OCR,9.01,267,265
|
| Translation,Plane isometric transformations,part_of,1.0,spec_numbering,KS4,OCR,9.01c,KS4,OCR,9.01,268,265
|
| Combinations of transformations,Plane isometric transformations,part_of,1.0,spec_numbering,KS4,OCR,9.01d,KS4,OCR,9.01,269,265
|
| Congruence,Congruence and Similarity,part_of,1.0,spec_numbering,KS4,OCR,9.02,KS4,OCR,9,270,264
|
| Congruent triangles,Congruence,part_of,1.0,spec_numbering,KS4,OCR,9.02a,KS4,OCR,9.02,271,270
|
| Applying congruent triangles,Congruence,part_of,1.0,spec_numbering,KS4,OCR,9.02b,KS4,OCR,9.02,272,270
|
| Plane vector geometry,Congruence and Similarity,part_of,1.0,spec_numbering,KS4,OCR,9.03,KS4,OCR,9,273,264
|
| Vector arithmetic,Plane vector geometry,part_of,1.0,spec_numbering,KS4,OCR,9.03a,KS4,OCR,9.03,274,273
|
| Column vectors,Plane vector geometry,part_of,1.0,spec_numbering,KS4,OCR,9.03b,KS4,OCR,9.03,275,273
|
| Similarity,Congruence and Similarity,part_of,1.0,spec_numbering,KS4,OCR,9.04,KS4,OCR,9,276,264
|
| Similar triangles,Similarity,part_of,1.0,spec_numbering,KS4,OCR,9.04a,KS4,OCR,9.04,277,276
|
| Enlargement,Similarity,part_of,1.0,spec_numbering,KS4,OCR,9.04b,KS4,OCR,9.04,278,276
|
| Similar shapes,Similarity,part_of,1.0,spec_numbering,KS4,OCR,9.04c,KS4,OCR,9.04,279,276
|
| Units and measurement,Mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.01,KS4,OCR,10,281,280
|
| Units of measurement,Units and measurement,part_of,1.0,spec_numbering,KS4,OCR,10.01a,KS4,OCR,10.01,282,281
|
| Compound units,Units and measurement,part_of,1.0,spec_numbering,KS4,OCR,10.01b,KS4,OCR,10.01,283,281
|
| Maps and scale drawings,Units and measurement,part_of,1.0,spec_numbering,KS4,OCR,10.01c,KS4,OCR,10.01,284,281
|
| Perimeter calculations,Mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.02,KS4,OCR,10,285,280
|
| Perimeter of rectilinear shapes,Perimeter calculations,part_of,1.0,spec_numbering,KS4,OCR,10.02a,KS4,OCR,10.02,286,285
|
| Circumference of a circle,Perimeter calculations,part_of,1.0,spec_numbering,KS4,OCR,10.02b,KS4,OCR,10.02,287,285
|
| Perimeter of composite shapes,Perimeter calculations,part_of,1.0,spec_numbering,KS4,OCR,10.02c,KS4,OCR,10.02,288,285
|
| Area calculations,Mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.03,KS4,OCR,10,289,280
|
| Area of a triangle,Area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.03a,KS4,OCR,10.03,290,289
|
| Area of a parallelogram,Area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.03b,KS4,OCR,10.03,291,289
|
| Area of a trapezium,Area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.03c,KS4,OCR,10.03,292,289
|
| Area of a circle,Area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.03d,KS4,OCR,10.03,293,289
|
| Area of composite shapes,Area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.03e,KS4,OCR,10.03,294,289
|
| Volume and surface area calculations,Mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.04,KS4,OCR,10,295,280
|
| Polyhedra,Volume and surface area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.04a,KS4,OCR,10.04,296,295
|
| Cones and spheres,Volume and surface area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.04b,KS4,OCR,10.04,297,295
|
| Pyramids,Volume and surface area calculations,part_of,1.0,spec_numbering,KS4,OCR,10.04c,KS4,OCR,10.04,298,295
|
| Triangle mensuration,Mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.05,KS4,OCR,10,299,280
|
| Pythagoras’ theorem,Triangle mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.05a,KS4,OCR,10.05,300,299
|
| Trigonometry in right-angled triangles,Triangle mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.05b,KS4,OCR,10.05,301,299
|
| Exact trigonometric ratios,Triangle mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.05c,KS4,OCR,10.05,302,299
|
| Sine rule,Triangle mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.05d,KS4,OCR,10.05,303,299
|
| Cosine rule,Triangle mensuration,part_of,1.0,spec_numbering,KS4,OCR,10.05e,KS4,OCR,10.05,304,299
|
| Basic probability and experiments,Probability,part_of,1.0,spec_numbering,KS4,OCR,11.01,KS4,OCR,11,306,305
|
| The probability scale,Basic probability and experiments,part_of,1.0,spec_numbering,KS4,OCR,11.01a,KS4,OCR,11.01,307,306
|
| Relative frequency,Basic probability and experiments,part_of,1.0,spec_numbering,KS4,OCR,11.01b,KS4,OCR,11.01,308,306
|
| Relative frequency and probability,Basic probability and experiments,part_of,1.0,spec_numbering,KS4,OCR,11.01c,KS4,OCR,11.01,309,306
|
| Equally likely outcomes and probability,Basic probability and experiments,part_of,1.0,spec_numbering,KS4,OCR,11.01d,KS4,OCR,11.01,310,306
|
| Combined events and probability diagrams,Probability,part_of,1.0,spec_numbering,KS4,OCR,11.02,KS4,OCR,11,311,305
|
| Sample spaces,Combined events and probability diagrams,part_of,1.0,spec_numbering,KS4,OCR,11.02a,KS4,OCR,11.02,312,311
|
| Enumeration,Combined events and probability diagrams,part_of,1.0,spec_numbering,KS4,OCR,11.02b,KS4,OCR,11.02,313,311
|
| Venn diagrams and sets,Combined events and probability diagrams,part_of,1.0,spec_numbering,KS4,OCR,11.02c,KS4,OCR,11.02,314,311
|
| Tree diagrams,Combined events and probability diagrams,part_of,1.0,spec_numbering,KS4,OCR,11.02d,KS4,OCR,11.02,315,311
|
| The addition law of probability,Combined events and probability diagrams,part_of,1.0,spec_numbering,KS4,OCR,11.02e,KS4,OCR,11.02,316,311
|
| The multiplication law of probability and,Combined events and probability diagrams,part_of,1.0,spec_numbering,KS4,OCR,11.02f,KS4,OCR,11.02,317,311
|
| Sampling,Statistics,part_of,1.0,spec_numbering,KS4,OCR,12.01,KS4,OCR,12,319,318
|
| Populations and samples,Sampling,part_of,1.0,spec_numbering,KS4,OCR,12.01a,KS4,OCR,12.01,320,319
|
| Interpreting and representing data,Statistics,part_of,1.0,spec_numbering,KS4,OCR,12.02,KS4,OCR,12,321,318
|
| Categorical and numerical data,Interpreting and representing data,part_of,1.0,spec_numbering,KS4,OCR,12.02a,KS4,OCR,12.02,322,321
|
| Grouped data,Interpreting and representing data,part_of,1.0,spec_numbering,KS4,OCR,12.02b,KS4,OCR,12.02,323,321
|
| Analysing data,Statistics,part_of,1.0,spec_numbering,KS4,OCR,12.03,KS4,OCR,12,324,318
|
| Summary statistics,Analysing data,part_of,1.0,spec_numbering,KS4,OCR,12.03a,KS4,OCR,12.03,325,324
|
| Misrepresenting data,Analysing data,part_of,1.0,spec_numbering,KS4,OCR,12.03b,KS4,OCR,12.03,326,324
|
| Bivariate data,Analysing data,part_of,1.0,spec_numbering,KS4,OCR,12.03c,KS4,OCR,12.03,327,324
|
| Outliers,Analysing data,part_of,1.0,spec_numbering,KS4,OCR,12.03d,KS4,OCR,12.03,328,324
|
| Construct and present mathematical arguments through appropriate use of diagrams,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT1.1,KS5,AQA,OT,330,329
|
| Understand and use mathematical language and syntax as set out in the content,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT1.2,KS5,AQA,OT,331,329
|
| Understand and use language and symbols associated with set theory,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT1.3,KS5,AQA,OT,332,329
|
| Understand and use the definition of a function,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT1.4,KS5,AQA,OT,333,329
|
| Comprehend and critique mathematical arguments,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT1.5,KS5,AQA,OT,334,329
|
| Recognise the underlying mathematical structure in a situation and simplify and abstract,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT2.1,KS5,AQA,OT,335,329
|
| Construct extended arguments to solve problems presented in an unstructured form,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT2.2,KS5,AQA,OT,336,329
|
| Interpret and communicate solutions in the context of the original problem,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT2.3,KS5,AQA,OT,337,329
|
| Understand that many mathematical problems cannot be solved analytically,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT2.4,KS5,AQA,OT,338,329
|
| "Evaluate, including by making reasoned estimates",Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT2.5,KS5,AQA,OT,339,329
|
| Understand the concept of a mathematical problem solving cycle,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT2.6,KS5,AQA,OT,340,329
|
| "Understand, interpret and extract information from diagrams and construct mathematical",Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT2.7,KS5,AQA,OT,341,329
|
| "Translate a situation in context into a mathematical model, making simplifying assumptions",Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT3.1,KS5,AQA,OT,342,329
|
| Use a mathematical model with suitable inputs to engage with and explore situations (for,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT3.2,KS5,AQA,OT,343,329
|
| Interpret the outputs of a mathematical model in the context of the original situation,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT3.3,KS5,AQA,OT,344,329
|
| Understand that a mathematical model can be refined by considering its outputs,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT3.4,KS5,AQA,OT,345,329
|
| Understand and use modelling assumptions,Overarching themes,part_of,1.0,spec_numbering,KS5,AQA,OT3.5,KS5,AQA,OT,346,329
|
| Understand and use the structure of mathematical proof,Proof,part_of,1.0,spec_numbering,KS5,AQA,A1,KS5,AQA,A,348,347
|
| Understand and use the laws of indices for all rational exponents,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B1,KS5,AQA,B,350,349
|
| "Use and manipulate surds, including rationalising the denominator",Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B2,KS5,AQA,B,351,349
|
| Work with quadratic functions and their graphs,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B3,KS5,AQA,B,352,349
|
| Solve simultaneous equations in two variables by elimination and by substitution,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B4,KS5,AQA,B,353,349
|
| Solve linear and quadratic inequalities in a single variable and interpret such,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B5,KS5,AQA,B,354,349
|
| Manipulate polynomials algebraically,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B6,KS5,AQA,B,355,349
|
| Understand and use graphs of functions,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B7,KS5,AQA,B,356,349
|
| Understand and use composite functions,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B8,KS5,AQA,B,357,349
|
| Understand the effect of simple transformations on the graph,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B9,KS5,AQA,B,358,349
|
| Decompose rational functions into partial fractions (denominators not more complicated,Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B10,KS5,AQA,B,359,349
|
| "Use of functions in modelling, including consideration of limitations and refinements",Algebra and functions,part_of,1.0,spec_numbering,KS5,AQA,B11,KS5,AQA,B,360,349
|
| Understand and use the equation of a straight line,Coordinate geometry in the plane,part_of,1.0,spec_numbering,KS5,AQA,C1,KS5,AQA,C,362,361
|
| Understand and use the coordinate geometry of the circle including using the equation,Coordinate geometry in the plane,part_of,1.0,spec_numbering,KS5,AQA,C2,KS5,AQA,C,363,361
|
| Understand and use the parametric equations of curves and conversion between Cartesian,Coordinate geometry in the plane,part_of,1.0,spec_numbering,KS5,AQA,C3,KS5,AQA,C,364,361
|
| Use parametric equations in modelling in a variety of contexts,Coordinate geometry in the plane,part_of,1.0,spec_numbering,KS5,AQA,C4,KS5,AQA,C,365,361
|
| Understand and use the binomial expansion of a + bx n for positive integer n,Sequences and series,part_of,1.0,spec_numbering,KS5,AQA,D1,KS5,AQA,D,367,366
|
| Work with sequences including those given by a formula for the n th term and those,Sequences and series,part_of,1.0,spec_numbering,KS5,AQA,D2,KS5,AQA,D,368,366
|
| Understand and use sigma notation for sums of series,Sequences and series,part_of,1.0,spec_numbering,KS5,AQA,D3,KS5,AQA,D,369,366
|
| Understand and work with arithmetic sequences and series,Sequences and series,part_of,1.0,spec_numbering,KS5,AQA,D4,KS5,AQA,D,370,366
|
| Understand and work with geometric sequences and series including the formulae for the n,Sequences and series,part_of,1.0,spec_numbering,KS5,AQA,D5,KS5,AQA,D,371,366
|
| Use sequences and series in modelling,Sequences and series,part_of,1.0,spec_numbering,KS5,AQA,D6,KS5,AQA,D,372,366
|
| "Understand and use the definitions of sine, cosine and tangent for all arguments",Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E1,KS5,AQA,E,374,373
|
| Understand and use the standard small angle approximations of sine,Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E2,KS5,AQA,E,375,373
|
| "Understand and use the sine, cosine and tangent functions",Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E3,KS5,AQA,E,376,373
|
| Understand and use the definitions of secant,Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E4,KS5,AQA,E,377,373
|
| Understand and use tan≡sin cos Understand and use sin2+ cos2≡1,Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E5,KS5,AQA,E,378,373
|
| Understand and use double angle formulae,Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E6,KS5,AQA,E,379,373
|
| Solve simple trigonometric equations in a given interval,Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E7,KS5,AQA,E,380,373
|
| Construct proofs involving trigonometric functions and identities,Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E8,KS5,AQA,E,381,373
|
| Use trigonometric functions to solve problems in context,Trigonometry,part_of,1.0,spec_numbering,KS5,AQA,E9,KS5,AQA,E,382,373
|
| "Know and use the function ax and its graph, where a is positive",Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,AQA,F1,KS5,AQA,F,384,383
|
| Know that the gradient of ekx is equal to kekx and hence understand why the exponential,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,AQA,F2,KS5,AQA,F,385,383
|
| Know and use the definition of loga x as the inverse of ax,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,AQA,F3,KS5,AQA,F,386,383
|
| Understand and use the laws of logarithms,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,AQA,F4,KS5,AQA,F,387,383
|
| Solve equations of the form ax = b,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,AQA,F5,KS5,AQA,F,388,383
|
| Use logarithmic graphs to estimate parameters in relationships of the form y = axn and y,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,AQA,F6,KS5,AQA,F,389,383
|
| Understand and use exponential growth and decay,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,AQA,F7,KS5,AQA,F,390,383
|
| Understand and use the derivative of f x as the gradient of the tangent to the graph of y,Differentiation,part_of,1.0,spec_numbering,KS5,AQA,G1,KS5,AQA,G,392,391
|
| "Differentiate xn , for rational values of n , and related constant multiples",Differentiation,part_of,1.0,spec_numbering,KS5,AQA,G2,KS5,AQA,G,393,391
|
| "Apply differentiation to find gradients, tangents and normals",Differentiation,part_of,1.0,spec_numbering,KS5,AQA,G3,KS5,AQA,G,394,391
|
| "Differentiate using the product rule, the quotient rule and the chain rule",Differentiation,part_of,1.0,spec_numbering,KS5,AQA,G4,KS5,AQA,G,395,391
|
| Differentiate simple functions and relations defined implicitly or parametrically,Differentiation,part_of,1.0,spec_numbering,KS5,AQA,G5,KS5,AQA,G,396,391
|
| Construct simple differential equations in pure mathematics and in context,Differentiation,part_of,1.0,spec_numbering,KS5,AQA,G6,KS5,AQA,G,397,391
|
| Know and use the Fundamental Theorem of Calculus,Integration,part_of,1.0,spec_numbering,KS5,AQA,H1,KS5,AQA,H,399,398
|
| "Integrate xn (excluding n = −1 ), and related sums, differences and constant multiples",Integration,part_of,1.0,spec_numbering,KS5,AQA,H2,KS5,AQA,H,400,398
|
| Evaluate definite integrals
|
| Understand and use integration as the limit of a sum,Integration,part_of,1.0,spec_numbering,KS5,AQA,H4,KS5,AQA,H,402,398
|
| Carry out simple cases of integration by substitution and integration by parts,Integration,part_of,1.0,spec_numbering,KS5,AQA,H5,KS5,AQA,H,403,398
|
| Integrate using partial fractions that are linear in the denominator,Integration,part_of,1.0,spec_numbering,KS5,AQA,H6,KS5,AQA,H,404,398
|
| Evaluate the analytical solution of simple first order differential equations,Integration,part_of,1.0,spec_numbering,KS5,AQA,H7,KS5,AQA,H,405,398
|
| Interpret the solution of a differential equation in the context of solving a problem,Integration,part_of,1.0,spec_numbering,KS5,AQA,H8,KS5,AQA,H,406,398
|
| Locate roots,Numerical methods,part_of,1.0,spec_numbering,KS5,AQA,I1,KS5,AQA,I,408,407
|
| Solve equations approximately using simple iterative methods,Numerical methods,part_of,1.0,spec_numbering,KS5,AQA,I2,KS5,AQA,I,409,407
|
| Understand and use numerical integration of functions,Numerical methods,part_of,1.0,spec_numbering,KS5,AQA,I3,KS5,AQA,I,410,407
|
| Use numerical methods to solve problems in context,Numerical methods,part_of,1.0,spec_numbering,KS5,AQA,I4,KS5,AQA,I,411,407
|
| Use vectors in two dimensions and in three dimensions,Vectors,part_of,1.0,spec_numbering,KS5,AQA,J1,KS5,AQA,J,413,412
|
| Calculate the magnitude and direction of a vector and convert between component form,Vectors,part_of,1.0,spec_numbering,KS5,AQA,J2,KS5,AQA,J,414,412
|
| Add vectors diagrammatically and perform the algebraic operations of vector addition,Vectors,part_of,1.0,spec_numbering,KS5,AQA,J3,KS5,AQA,J,415,412
|
| Understand and use position vectors,Vectors,part_of,1.0,spec_numbering,KS5,AQA,J4,KS5,AQA,J,416,412
|
| Use vectors to solve problems in pure mathematics and in context,Vectors,part_of,1.0,spec_numbering,KS5,AQA,J5,KS5,AQA,J,417,412
|
| Understand and use the terms ‘population’ and ‘sample’,Statistical sampling,part_of,1.0,spec_numbering,KS5,AQA,K1,KS5,AQA,K,419,418
|
| Interpret diagrams for single-variable data,Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,AQA,L1,KS5,AQA,L,421,420
|
| Interpret scatter diagrams and regression lines for bivariate data,Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,AQA,L2,KS5,AQA,L,422,420
|
| "Interpret measures of central tendency and variation, extending to standard deviation",Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,AQA,L3,KS5,AQA,L,423,420
|
| Recognise and interpret possible outliers in data sets and statistical diagrams,Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,AQA,L4,KS5,AQA,L,424,420
|
| Understand and use mutually exclusive and independent events when calculating,Probability,part_of,1.0,spec_numbering,KS5,AQA,M1,KS5,AQA,M,426,425
|
| "Understand and use conditional probability, including the use of tree diagrams",Probability,part_of,1.0,spec_numbering,KS5,AQA,M2,KS5,AQA,M,427,425
|
| "Modelling with probability, including critiquing assumptions made and the likely effect",Probability,part_of,1.0,spec_numbering,KS5,AQA,M3,KS5,AQA,M,428,425
|
| "Understand and use simple, discrete probability distributions (calculation of mean",Statistical distributions,part_of,1.0,spec_numbering,KS5,AQA,N1,KS5,AQA,N,430,429
|
| Understand and use the Normal distribution as a model,Statistical distributions,part_of,1.0,spec_numbering,KS5,AQA,N2,KS5,AQA,N,431,429
|
| Select an appropriate probability distribution for a context,Statistical distributions,part_of,1.0,spec_numbering,KS5,AQA,N3,KS5,AQA,N,432,429
|
| Understand and apply the language of statistical hypothesis testing,Statistical hypothesis testing,part_of,1.0,spec_numbering,KS5,AQA,O1,KS5,AQA,O,434,433
|
| Conduct a statistical hypothesis test for the proportion in the binomial distribution,Statistical hypothesis testing,part_of,1.0,spec_numbering,KS5,AQA,O2,KS5,AQA,O,435,433
|
| Conduct a statistical hypothesis test for the mean of a Normal distribution with known,Statistical hypothesis testing,part_of,1.0,spec_numbering,KS5,AQA,O3,KS5,AQA,O,436,433
|
| Understand and use fundamental quantities and units in the SI system,Quantities and units in mechanics,part_of,1.0,spec_numbering,KS5,AQA,P1,KS5,AQA,P,438,437
|
| Understand and use the language of kinematics,Kinematics,part_of,1.0,spec_numbering,KS5,AQA,Q1,KS5,AQA,Q,440,439
|
| "Understand, use and interpret graphs in kinematics for motion in a straight line",Kinematics,part_of,1.0,spec_numbering,KS5,AQA,Q2,KS5,AQA,Q,441,439
|
| "Understand, use and derive the formulae for constant acceleration for motion",Kinematics,part_of,1.0,spec_numbering,KS5,AQA,Q3,KS5,AQA,Q,442,439
|
| Use calculus in kinematics for motion in a straight line,Kinematics,part_of,1.0,spec_numbering,KS5,AQA,Q4,KS5,AQA,Q,443,439
|
| Model motion under gravity in a vertical plane using vectors,Kinematics,part_of,1.0,spec_numbering,KS5,AQA,Q5,KS5,AQA,Q,444,439
|
| Understand the concept of a force,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,AQA,R1,KS5,AQA,R,446,445
|
| Understand and use Newton’s second law for motion in a straight line (restricted,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,AQA,R2,KS5,AQA,R,447,445
|
| Understand and use weight and motion in a straight line under gravity,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,AQA,R3,KS5,AQA,R,448,445
|
| Understand and use Newton’s third law,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,AQA,R4,KS5,AQA,R,449,445
|
| Understand and use addition of forces,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,AQA,R5,KS5,AQA,R,450,445
|
| Understand and use the F ≤R model for friction,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,AQA,R6,KS5,AQA,R,451,445
|
| Understand and use moments in simple static contexts,Moments,part_of,1.0,spec_numbering,KS5,AQA,S1,KS5,AQA,S,453,452
|
| Understand and use the structure of mathematical proof,Proof,part_of,1.0,spec_numbering,KS5,Edexcel,P1.1,KS5,Edexcel,P1,457,793
|
| Understand and use the laws of indices for all rational exponents,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.1,KS5,Edexcel,P2,458,795
|
| "Use and manipulate surds, including rationalising the denominator",Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.2,KS5,Edexcel,P2,459,795
|
| Work with quadratic functions and their graphs,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.3,KS5,Edexcel,P2,460,795
|
| Solve simultaneous equations in two variables by elimination and by substitution,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.4,KS5,Edexcel,P2,461,795
|
| Solve linear and quadratic inequalities in a single variable and interpret such,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.5,KS5,Edexcel,P2,462,795
|
| Manipulate polynomials algebraically,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.6,KS5,Edexcel,P2,463,795
|
| Understand and use graphs of functions,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.7,KS5,Edexcel,P2,464,795
|
| Understand and use composite functions,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.8,KS5,Edexcel,P2,465,795
|
| Understand the effect of simple transformations on the graph of y = f(x),Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.9,KS5,Edexcel,P2,466,795
|
| Decompose rational functions into partial fractions (denominators not more complicated,Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.10,KS5,Edexcel,P2,467,795
|
| "Use of functions in modelling, including consideration of limitations and refinements",Algebra and functions,part_of,1.0,spec_numbering,KS5,Edexcel,P2.11,KS5,Edexcel,P2,468,795
|
| "Understand and use the equation of a straight line, including the forms y","Coordinate geometry in the (x,y) plane",part_of,1.0,spec_numbering,KS5,Edexcel,P3.1,KS5,Edexcel,P3,469,796
|
| Understand and use the coordinate geometry of the circle including using the equation,"Coordinate geometry in the (x,y) plane",part_of,1.0,spec_numbering,KS5,Edexcel,P3.2,KS5,Edexcel,P3,470,796
|
| Understand and use the parametric equations of curves and conversion between Cartesian,"Coordinate geometry in the (x,y) plane",part_of,1.0,spec_numbering,KS5,Edexcel,P3.3,KS5,Edexcel,P3,471,796
|
| Use parametric equations in modelling in a variety of contexts,"Coordinate geometry in the (x,y) plane",part_of,1.0,spec_numbering,KS5,Edexcel,P3.4,KS5,Edexcel,P3,472,796
|
| Understand and use the binomial expansion of (a + bx)n for positive integer n,Sequences and series,part_of,1.0,spec_numbering,KS5,Edexcel,P4.1,KS5,Edexcel,P4,473,797
|
| Work with sequences including those given by a formula for the nth term and those,Sequences and series,part_of,1.0,spec_numbering,KS5,Edexcel,P4.2,KS5,Edexcel,P4,474,797
|
| Understand and use sigma notation for sums of series,Sequences and series,part_of,1.0,spec_numbering,KS5,Edexcel,P4.3,KS5,Edexcel,P4,475,797
|
| Understand and work with arithmetic sequences and series,Sequences and series,part_of,1.0,spec_numbering,KS5,Edexcel,P4.4,KS5,Edexcel,P4,476,797
|
| Understand and work with geometric sequences and series,Sequences and series,part_of,1.0,spec_numbering,KS5,Edexcel,P4.5,KS5,Edexcel,P4,477,797
|
| Use sequences and series in modelling,Sequences and series,part_of,1.0,spec_numbering,KS5,Edexcel,P4.6,KS5,Edexcel,P4,478,797
|
| "Understand and use the definitions of sine, cosine and tangent for all arguments",Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.1,KS5,Edexcel,P5,479,798
|
| "Understand and use the standard small angle approximations of sine, cosine and tangent",Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.2,KS5,Edexcel,P5,480,798
|
| "Understand and use the sine, cosine and tangent functions",Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.3,KS5,Edexcel,P5,481,798
|
| Understand and use the definitions of secant,Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.4,KS5,Edexcel,P5,482,798
|
| Understand and use the Pythagorean trigonometric identities,Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.5,KS5,Edexcel,P5,483,798
|
| Understand and use double angle formulae,Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.6,KS5,Edexcel,P5,484,798
|
| Solve simple trigonometric equations in a given interval,Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.7,KS5,Edexcel,P5,485,798
|
| Construct proofs involving trigonometric functions and identities,Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.8,KS5,Edexcel,P5,486,798
|
| Use trigonometric functions to solve problems in context,Trigonometry,part_of,1.0,spec_numbering,KS5,Edexcel,P5.9,KS5,Edexcel,P5,487,798
|
| Know and use the function ax and its graph,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,Edexcel,P6.1,KS5,Edexcel,P6,488,799
|
| Know that the gradient of ekx is equal to kekx,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,Edexcel,P6.2,KS5,Edexcel,P6,489,799
|
| "Know and use the definition of loga x as the inverse of a x, where a is",Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,Edexcel,P6.3,KS5,Edexcel,P6,490,799
|
| Understand and use the laws of logarithms:,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,Edexcel,P6.4,KS5,Edexcel,P6,491,799
|
| Solve exponential equations,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,Edexcel,P6.5,KS5,Edexcel,P6,492,799
|
| Use logarithmic graphs to estimate parameters in relationships of the form,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,Edexcel,P6.6,KS5,Edexcel,P6,493,799
|
| Understand and use exponential growth and decay,Exponentials and logarithms,part_of,1.0,spec_numbering,KS5,Edexcel,P6.7,KS5,Edexcel,P6,494,799
|
| Understand and use the derivative of f( x) as,Differentiation,part_of,1.0,spec_numbering,KS5,Edexcel,P7.1,KS5,Edexcel,P7,495,800
|
| "Differentiate xn, for rational values of n",Differentiation,part_of,1.0,spec_numbering,KS5,Edexcel,P7.2,KS5,Edexcel,P7,496,800
|
| "Apply differentiation to find gradients, tangents and normals",Differentiation,part_of,1.0,spec_numbering,KS5,Edexcel,P7.3,KS5,Edexcel,P7,497,800
|
| "Differentiate using the product rule, the quotient rule and the chain rule",Differentiation,part_of,1.0,spec_numbering,KS5,Edexcel,P7.4,KS5,Edexcel,P7,498,800
|
| Differentiate simple functions and relations defined implicitly or parametrically,Differentiation,part_of,1.0,spec_numbering,KS5,Edexcel,P7.5,KS5,Edexcel,P7,499,800
|
| Construct simple differential equations in pure mathematics and in context,Differentiation,part_of,1.0,spec_numbering,KS5,Edexcel,P7.6,KS5,Edexcel,P7,500,800
|
| Know and use the Fundamental Theorem of Calculus,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.1,KS5,Edexcel,P8,501,801
|
| Integrate xn and related sums,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.2,KS5,Edexcel,P8,502,801
|
| Evaluate definite integrals
|
| Understand and use integration as the limit of a sum,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.4,KS5,Edexcel,P8,504,801
|
| Carry out simple cases of integration by substitution and integration by parts,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.5,KS5,Edexcel,P8,505,801
|
| Integrate using partial fractions that are linear in the denominator,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.6,KS5,Edexcel,P8,506,801
|
| Evaluate the analytical solution of simple first order differential equations,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.7,KS5,Edexcel,P8,507,801
|
| Interpret the solution of a differential equation in the context of solving a problem,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.8,KS5,Edexcel,P8,508,801
|
| Locate roots,Numerical methods,part_of,1.0,spec_numbering,KS5,Edexcel,P9.1,KS5,Edexcel,P9,509,802
|
| Solve equations approximately using simple iterative methods,Numerical methods,part_of,1.0,spec_numbering,KS5,Edexcel,P9.2,KS5,Edexcel,P9,510,802
|
| Solve equations using the Newton-Raphson method and other recurrence relations,Numerical methods,part_of,1.0,spec_numbering,KS5,Edexcel,P9.3,KS5,Edexcel,P9,511,802
|
| Understand and use numerical integration of functions,Numerical methods,part_of,1.0,spec_numbering,KS5,Edexcel,P9.4,KS5,Edexcel,P9,512,802
|
| Use numerical methods to solve problems in context,Numerical methods,part_of,1.0,spec_numbering,KS5,Edexcel,P9.5,KS5,Edexcel,P9,513,802
|
| Use vectors in two dimensions and in three dimensions,Vectors,part_of,1.0,spec_numbering,KS5,Edexcel,P10.1,KS5,Edexcel,P10,514,794
|
| Calculate the magnitude and direction of a vector and convert between component form,Vectors,part_of,1.0,spec_numbering,KS5,Edexcel,P10.2,KS5,Edexcel,P10,515,794
|
| Add vectors diagrammatically and perform the algebraic operations of vector addition,Vectors,part_of,1.0,spec_numbering,KS5,Edexcel,P10.3,KS5,Edexcel,P10,516,794
|
| Understand and use position vectors,Vectors,part_of,1.0,spec_numbering,KS5,Edexcel,P10.4,KS5,Edexcel,P10,517,794
|
| Use vectors to solve problems in pure mathematics and in context,Vectors,part_of,1.0,spec_numbering,KS5,Edexcel,P10.5,KS5,Edexcel,P10,518,794
|
| Understand and use the terms ‘population’ and ‘sample’,Statistical sampling,part_of,1.0,spec_numbering,KS5,Edexcel,S1.1,KS5,Edexcel,S1,519,803
|
| Interpret scatter diagrams and regression lines for bivariate data,Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,Edexcel,S2.2,KS5,Edexcel,S2,520,804
|
| Conduct a statistical hypothesis test for the proportion in the binomial distribution,Statistical hypothesis testing,part_of,1.0,spec_numbering,KS5,Edexcel,S5.2,KS5,Edexcel,S5,521,816
|
| Understand and use fundamental quantities and units in the S.I,Quantities and units in mechanics,part_of,1.0,spec_numbering,KS5,Edexcel,M6.1,KS5,Edexcel,M6,522,788
|
| Understand and use the language of kinematics,Kinematics,part_of,1.0,spec_numbering,KS5,Edexcel,M7.1,KS5,Edexcel,M7,523,789
|
| "Understand, use and interpret graphs in kinematics for motion in a straight line",Kinematics,part_of,1.0,spec_numbering,KS5,Edexcel,M7.2,KS5,Edexcel,M7,524,789
|
| "Understand, use and derive the formulae for constant acceleration for motion",Kinematics,part_of,1.0,spec_numbering,KS5,Edexcel,M7.3,KS5,Edexcel,M7,525,789
|
| Use calculus in kinematics for motion in a straight line:,Kinematics,part_of,1.0,spec_numbering,KS5,Edexcel,M7.4,KS5,Edexcel,M7,526,789
|
| Model motion under gravity in a vertical plane using vectors,Kinematics,part_of,1.0,spec_numbering,KS5,Edexcel,M7.5,KS5,Edexcel,M7,527,789
|
| Understand the concept of a force,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,Edexcel,M8.1,KS5,Edexcel,M8,528,790
|
| Understand and use Newton’s second law for motion in a straight line (restricted,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,Edexcel,M8.2,KS5,Edexcel,M8,529,790
|
| Understand and use weight and motion in a straight line under gravity,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,Edexcel,M8.3,KS5,Edexcel,M8,530,790
|
| Understand and use Newton’s third law,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,Edexcel,M8.4,KS5,Edexcel,M8,531,790
|
| Understand and use addition of forces,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,Edexcel,M8.5,KS5,Edexcel,M8,532,790
|
| Understand and use moments in simple static contexts,Moments,part_of,1.0,spec_numbering,KS5,Edexcel,M9.1,KS5,Edexcel,M9,533,792
|
| Proof,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.01,KS5,OCR,1,537,534
|
| The structure of mathematical proof,Proof,part_of,1.0,spec_numbering,KS5,OCR,1.01a,KS5,OCR,1.01,538,537
|
| Proof by contradiction,Proof,part_of,1.0,spec_numbering,KS5,OCR,1.01d,KS5,OCR,1.01,539,537
|
| The logical connectives,Proof,part_of,1.0,spec_numbering,KS5,OCR,1.01b,KS5,OCR,1.01,540,537
|
| Show disproof by counter example,Proof,part_of,1.0,spec_numbering,KS5,OCR,1.01c,KS5,OCR,1.01,541,537
|
| Algebra and Functions,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.02,KS5,OCR,1,542,534
|
| The laws of indices for all rational exponents,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02a,KS5,OCR,1.02,543,542
|
| "Use and manipulate surds, including rationalising the denominator",Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02b,KS5,OCR,1.02,544,542
|
| Solve simultaneous equations in two variables by elimination,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02c,KS5,OCR,1.02,545,542
|
| Work with quadratic functions and their graphs,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02d,KS5,OCR,1.02,546,542
|
| Complete the square of the quadratic polynomial ax bx,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02e,KS5,OCR,1.02,547,542
|
| Solve quadratic equations including quadratic equations in a function,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02f,KS5,OCR,1.02,548,542
|
| Solve linear and quadratic inequalities in a single variable and interpret,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02g,KS5,OCR,1.02,549,542
|
| Express solutions through correct use,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02h,KS5,OCR,1.02,550,542
|
| Represent linear and quadratic inequalities,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02i,KS5,OCR,1.02,551,542
|
| Manipulate polynomials algebraically,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02j,KS5,OCR,1.02,552,542
|
| Simplify rational expressions,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02k,KS5,OCR,1.02,553,542
|
| "The modulus function, including the notation x",Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02l,KS5,OCR,1.02,554,542
|
| Graphs of functions,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02m,KS5,OCR,1.02,555,542
|
| Sketch the graph of the modulus of a linear function involving a single,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02s,KS5,OCR,1.02,556,542
|
| Sketch curves defined by simple equations including polynomials,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02n,KS5,OCR,1.02,557,542
|
| Solve graphically simple equations and inequalities involving the modulus,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02t,KS5,OCR,1.02,558,542
|
| Sketch curves defined,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02o,KS5,OCR,1.02,559,542
|
| Interpret the algebraic solution of equations graphically,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02p,KS5,OCR,1.02,560,542
|
| Intersection points of graphs to solve equations,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02q,KS5,OCR,1.02,561,542
|
| Proportional relationships and their graphs,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02r,KS5,OCR,1.02,562,542
|
| The definition of a function,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02u,KS5,OCR,1.02,563,542
|
| "Inverse functions and their graphs, and composite functions",Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02v,KS5,OCR,1.02,564,542
|
| Understand the effect of simple transformations on the graph,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02w,KS5,OCR,1.02,565,542
|
| Understand the effect of combinations of transformations on the graph,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02x,KS5,OCR,1.02,566,542
|
| Decompose rational functions into partial fractions (denominators not more,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02y,KS5,OCR,1.02,567,542
|
| Functions in modelling,Algebra and Functions,part_of,1.0,spec_numbering,KS5,OCR,1.02z,KS5,OCR,1.02,568,542
|
| Coordinate Geometry in the x–y Plane,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.03,KS5,OCR,1,569,534
|
| The equation of a straight line,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03a,KS5,OCR,1.03,570,569
|
| The gradient conditions for two straight lines to be parallel,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03b,KS5,OCR,1.03,571,569
|
| Straight line models in a variety of contexts,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03c,KS5,OCR,1.03,572,569
|
| The coordinate geometry of a circle including using,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03d,KS5,OCR,1.03,573,569
|
| Complete the square to find the centre and radius of a circle,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03e,KS5,OCR,1.03,574,569
|
| The following circle properties in the context of problems in coordinate,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03f,KS5,OCR,1.03,575,569
|
| The parametric equations of curves and be able to convert,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03g,KS5,OCR,1.03,576,569
|
| Sequences and Series,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.04,KS5,OCR,1,577,534
|
| Parametric equations in modelling in a variety of contexts,Coordinate Geometry in the x–y Plane,part_of,1.0,spec_numbering,KS5,OCR,1.03h,KS5,OCR,1.03,578,569
|
| The binomial expansion,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04a,KS5,OCR,1.04,579,577
|
| Extend the binomial expansion,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04c,KS5,OCR,1.04,580,577
|
| Understand and know the link to binomial probabilities,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04b,KS5,OCR,1.04,581,577
|
| Know that the expansion is valid for 1 a bx <,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04d,KS5,OCR,1.04,582,577
|
| Work with sequences including those given by a formula for the nth term,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04e,KS5,OCR,1.04,583,577
|
| Understand the meaning of and work with increasing sequences,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04f,KS5,OCR,1.04,584,577
|
| Sigma notation for sums of series,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04g,KS5,OCR,1.04,585,577
|
| Work with arithmetic sequences and series,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04h,KS5,OCR,1.04,586,577
|
| Work with geometric sequences and series including the formulae,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04i,KS5,OCR,1.04,587,577
|
| Work with the sum to infinity of a convergent geometric series,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04j,KS5,OCR,1.04,588,577
|
| Sequences and series in modelling,Sequences and Series,part_of,1.0,spec_numbering,KS5,OCR,1.04k,KS5,OCR,1.04,589,577
|
| Trigonometry,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.05,KS5,OCR,1,590,534
|
| The definitions of sine,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05a,KS5,OCR,1.05,591,590
|
| "Work with radian measure, including use for arc length and area of sector",Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05d,KS5,OCR,1.05,592,590
|
| The sine and cosine rules,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05b,KS5,OCR,1.05,593,590
|
| The area of a triangle in the form ab C sin 2,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05c,KS5,OCR,1.05,594,590
|
| The standard small angle approximations of sine,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05e,KS5,OCR,1.05,595,590
|
| "The sine, cosine and tangent functions",Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05f,KS5,OCR,1.05,596,590
|
| Exact values of sin,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05g,KS5,OCR,1.05,597,590
|
| The definitions of secant (sec i),Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05h,KS5,OCR,1.05,598,590
|
| Understand the graphs of the functions given,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05i,KS5,OCR,1.05,599,590
|
| Trigonometric,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05k,KS5,OCR,1.05,600,590
|
| Double angle formulae and the formulae,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05l,KS5,OCR,1.05,601,590
|
| Understand the geometrical proofs of these formulae,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05m,KS5,OCR,1.05,602,590
|
| Solve simple trigonometric equations in a given interval,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05o,KS5,OCR,1.05,603,590
|
| Exponentials and Logarithms,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.06,KS5,OCR,1,604,534
|
| Construct proofs involving trigonometric functions and identities,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05p,KS5,OCR,1.05,605,590
|
| Trigonometric functions to solve problems in context,Trigonometry,part_of,1.0,spec_numbering,KS5,OCR,1.05q,KS5,OCR,1.05,606,590
|
| "Know and use the function ax and its graph, where a is positive",Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06a,KS5,OCR,1.06,607,604
|
| Know that the gradient of ekx is equal to kekx and hence understand why the exponential,Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06b,KS5,OCR,1.06,608,604
|
| "Know and use the definition of x loga (for x > 0) as the inverse of ax (for all x),where",Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06c,KS5,OCR,1.06,609,604
|
| Know and use the function x ln and its graph,Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06d,KS5,OCR,1.06,610,604
|
| Know and use x ln as the inverse function of ex,Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06e,KS5,OCR,1.06,611,604
|
| The laws of logarithms:,Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06f,KS5,OCR,1.06,612,604
|
| Solve equations,Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06g,KS5,OCR,1.06,613,604
|
| Logarithmic graphs to estimate parameters in relationships of the form y,Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06h,KS5,OCR,1.06,614,604
|
| Exponential growth and decay and use the exponential,Exponentials and Logarithms,part_of,1.0,spec_numbering,KS5,OCR,1.06i,KS5,OCR,1.06,615,604
|
| Differentiation,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.07,KS5,OCR,1,616,534
|
| The derivative of ( )x f as the gradient of the tangent,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07a,KS5,OCR,1.07,617,616
|
| The gradient of the tangent at a point,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07b,KS5,OCR,1.07,618,616
|
| Sketch the gradient function for a given curve,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07c,KS5,OCR,1.07,619,616
|
| Find second derivatives,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07d,KS5,OCR,1.07,620,616
|
| The second derivative in connection to convex and concave,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07f,KS5,OCR,1.07,621,616
|
| The second derivative as the rate of change of gradient,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07e,KS5,OCR,1.07,622,616
|
| Show differentiation from first principles for small positive integer powers,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07g,KS5,OCR,1.07,623,616
|
| Show differentiation from first principles for x sin and x cos,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07h,KS5,OCR,1.07,624,616
|
| "Differentiate xn, for rational values of n",Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07i,KS5,OCR,1.07,625,616
|
| "Differentiate ekx and akx, and related sums, differences and constant multiples",Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07j,KS5,OCR,1.07,626,616
|
| "Differentiate kx sin , kx cos , kx tan and related sums",Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07k,KS5,OCR,1.07,627,616
|
| The derivative,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07l,KS5,OCR,1.07,628,616
|
| Apply differentiation to find the gradient at a point on a curve,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07m,KS5,OCR,1.07,629,616
|
| Apply differentiation to find points of inflection on a curve,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07p,KS5,OCR,1.07,630,616
|
| Apply differentiation to find and classify stationary points on a curve as,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07n,KS5,OCR,1.07,631,616
|
| Identify where functions are increasing or decreasing,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07o,KS5,OCR,1.07,632,616
|
| Differentiate using the product rule and the quotient rule,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07q,KS5,OCR,1.07,633,616
|
| Differentiate using the chain rule,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07r,KS5,OCR,1.07,634,616
|
| Differentiate simple functions and relations defined implicitly,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07s,KS5,OCR,1.07,635,616
|
| Construct simple differential equations in pure mathematics and in context,Differentiation,part_of,1.0,spec_numbering,KS5,OCR,1.07t,KS5,OCR,1.07,636,616
|
| Integration,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.08,KS5,OCR,1,637,534
|
| The fundamental theorem of calculus,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08a,KS5,OCR,1.08,638,637
|
| "Integrate xn where 1 n !- and related sums, differences and constant multiples",Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08b,KS5,OCR,1.08,639,637
|
| "Integrate ekx, 1 x, kx sin , kx cos and related sums",Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08c,KS5,OCR,1.08,640,637
|
| Evaluate definite integrals,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08d,KS5,OCR,1.08,641,637
|
| A definite integral to find the area between a curve and the x-axis,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08e,KS5,OCR,1.08,642,637
|
| A definite integral to find the area between two curves,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08f,KS5,OCR,1.08,643,637
|
| Integration as the limit of a sum,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08g,KS5,OCR,1.08,644,637
|
| Carry out simple cases of integration by substitution,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08h,KS5,OCR,1.08,645,637
|
| Carry out simple cases of integration by parts,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08i,KS5,OCR,1.08,646,637
|
| Integrate functions using partial fractions that have linear terms,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08j,KS5,OCR,1.08,647,637
|
| Evaluate the analytical solution of simple first order differential equations,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08k,KS5,OCR,1.08,648,637
|
| Numerical Methods,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.09,KS5,OCR,1,649,534
|
| Interpret the solution of a differential equation in the context of solving,Integration,part_of,1.0,spec_numbering,KS5,OCR,1.08l,KS5,OCR,1.08,650,637
|
| Locate roots,Numerical Methods,part_of,1.0,spec_numbering,KS5,OCR,1.09a,KS5,OCR,1.09,651,649
|
| Understand how change of sign methods can fail,Numerical Methods,part_of,1.0,spec_numbering,KS5,OCR,1.09b,KS5,OCR,1.09,652,649
|
| Solve equations approximately using simple iterative methods,Numerical Methods,part_of,1.0,spec_numbering,KS5,OCR,1.09c,KS5,OCR,1.09,653,649
|
| Solve equations using the Newton-,Numerical Methods,part_of,1.0,spec_numbering,KS5,OCR,1.09d,KS5,OCR,1.09,654,649
|
| Show how such methods can fail,Numerical Methods,part_of,1.0,spec_numbering,KS5,OCR,1.09e,KS5,OCR,1.09,655,649
|
| Numerical integration of functions,Numerical Methods,part_of,1.0,spec_numbering,KS5,OCR,1.09f,KS5,OCR,1.09,656,649
|
| Vectors,Pure mathematics,part_of,1.0,spec_numbering,KS5,OCR,1.10,KS5,OCR,1,657,534
|
| Numerical methods to solve problems in context,Numerical Methods,part_of,1.0,spec_numbering,KS5,OCR,1.09g,KS5,OCR,1.09,658,649
|
| Vectors in two dimensions,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10a,KS5,OCR,1.10,659,657
|
| Vectors in three dimensions,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10b,KS5,OCR,1.10,660,657
|
| Calculate the magnitude and direction of a vector and convert between,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10c,KS5,OCR,1.10,661,657
|
| Add vectors diagrammatically and perform the algebraic operations of vector,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10d,KS5,OCR,1.10,662,657
|
| Position vectors,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10e,KS5,OCR,1.10,663,657
|
| Calculate the distance between two points represented by position vectors,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10f,KS5,OCR,1.10,664,657
|
| Vectors to solve problems in pure mathematics and in context,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10g,KS5,OCR,1.10,665,657
|
| Vectors to solve problems in kinematics,Vectors,part_of,1.0,spec_numbering,KS5,OCR,1.10h,KS5,OCR,1.10,666,657
|
| Statistical Sampling,Statistics,part_of,1.0,spec_numbering,KS5,OCR,2.01,KS5,OCR,2,667,535
|
| The terms ‘population’ and ‘sample’,Statistical Sampling,part_of,1.0,spec_numbering,KS5,OCR,2.01a,KS5,OCR,2.01,668,667
|
| Samples to make informal inferences about the population,Statistical Sampling,part_of,1.0,spec_numbering,KS5,OCR,2.01b,KS5,OCR,2.01,669,667
|
| Sampling techniques,Statistical Sampling,part_of,1.0,spec_numbering,KS5,OCR,2.01c,KS5,OCR,2.01,670,667
|
| Select or critique sampling techniques in the context of solving a statistical,Statistical Sampling,part_of,1.0,spec_numbering,KS5,OCR,2.01d,KS5,OCR,2.01,671,667
|
| Data Presentation and Interpretation,Statistics,part_of,1.0,spec_numbering,KS5,OCR,2.02,KS5,OCR,2,672,535
|
| Interpret tables and diagrams for single- variable data,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02a,KS5,OCR,2.02,673,672
|
| Understand that area in a histogram represents frequency,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02b,KS5,OCR,2.02,674,672
|
| Interpret scatter diagrams and regression lines for bivariate data,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02c,KS5,OCR,2.02,675,672
|
| Understand informal interpretation of correlation,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02d,KS5,OCR,2.02,676,672
|
| Understand that correlation does not imply causation,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02e,KS5,OCR,2.02,677,672
|
| Calculate and interpret measures of central tendency and variation,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02f,KS5,OCR,2.02,678,672
|
| Calculate mean and standard deviation from a list of data,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02g,KS5,OCR,2.02,679,672
|
| Probability,Statistics,part_of,1.0,spec_numbering,KS5,OCR,2.03,KS5,OCR,2,680,535
|
| Recognise and be able to interpret possible outliers in data sets and statistical diagrams,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02h,KS5,OCR,2.02,681,672
|
| Select or critique data presentation techniques in the context,Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02i,KS5,OCR,2.02,682,672
|
| "Clean data, including dealing with missing data, errors and outliers",Data Presentation and Interpretation,part_of,1.0,spec_numbering,KS5,OCR,2.02j,KS5,OCR,2.02,683,672
|
| Mutually exclusive and independent events when calculating,Probability,part_of,1.0,spec_numbering,KS5,OCR,2.03a,KS5,OCR,2.03,684,680
|
| Appropriate diagrams to assist in the calculation of probabilities,Probability,part_of,1.0,spec_numbering,KS5,OCR,2.03b,KS5,OCR,2.03,685,680
|
| "Conditional probability, including the use of tree diagrams",Probability,part_of,1.0,spec_numbering,KS5,OCR,2.03c,KS5,OCR,2.03,686,680
|
| Understand the concept of conditional probability,Probability,part_of,1.0,spec_numbering,KS5,OCR,2.03d,KS5,OCR,2.03,687,680
|
| Model with probability,Probability,part_of,1.0,spec_numbering,KS5,OCR,2.03e,KS5,OCR,2.03,688,680
|
| Statistical Distributions,Statistics,part_of,1.0,spec_numbering,KS5,OCR,2.04,KS5,OCR,2,689,535
|
| "Simple, finite, discrete probability distributions",Statistical Distributions,part_of,1.0,spec_numbering,KS5,OCR,2.04a,KS5,OCR,2.04,690,689
|
| The binomial distribution as a model,Statistical Distributions,part_of,1.0,spec_numbering,KS5,OCR,2.04b,KS5,OCR,2.04,691,689
|
| Calculate probabilities using the binomial distribution,Statistical Distributions,part_of,1.0,spec_numbering,KS5,OCR,2.04c,KS5,OCR,2.04,692,689
|
| The normal distribution as a model,Statistical Distributions,part_of,1.0,spec_numbering,KS5,OCR,2.04e,KS5,OCR,2.04,693,689
|
| Find probabilities using the normal distribution,Statistical Distributions,part_of,1.0,spec_numbering,KS5,OCR,2.04f,KS5,OCR,2.04,694,689
|
| "Understand links to histograms, mean and standard deviation",Statistical Distributions,part_of,1.0,spec_numbering,KS5,OCR,2.04g,KS5,OCR,2.04,695,689
|
| Select an appropriate probability distribution for a context,Statistical Distributions,part_of,1.0,spec_numbering,KS5,OCR,2.04h,KS5,OCR,2.04,696,689
|
| Statistical Hypothesis Testing,Statistics,part_of,1.0,spec_numbering,KS5,OCR,2.05,KS5,OCR,2,697,535
|
| The language of statistical hypothesis testing,Statistical Hypothesis Testing,part_of,1.0,spec_numbering,KS5,OCR,2.05a,KS5,OCR,2.05,698,697
|
| Conduct a statistical hypothesis test for the proportion in the binomial,Statistical Hypothesis Testing,part_of,1.0,spec_numbering,KS5,OCR,2.05b,KS5,OCR,2.05,699,697
|
| Understand that a sample is being used to make an inference about the population,Statistical Hypothesis Testing,part_of,1.0,spec_numbering,KS5,OCR,2.05c,KS5,OCR,2.05,700,697
|
| "Recognise that a sample mean, X , can be regarded as a random variable",Statistical Hypothesis Testing,part_of,1.0,spec_numbering,KS5,OCR,2.05d,KS5,OCR,2.05,701,697
|
| Conduct a statistical hypothesis test for the mean of a normal distribution,Statistical Hypothesis Testing,part_of,1.0,spec_numbering,KS5,OCR,2.05e,KS5,OCR,2.05,702,697
|
| Understand Pearson’s product-moment correlation coefficient as a measure of how close,Statistical Hypothesis Testing,part_of,1.0,spec_numbering,KS5,OCR,2.05f,KS5,OCR,2.05,703,697
|
| Use and be able to interpret Pearson’s product- moment correlation coefficient,Statistical Hypothesis Testing,part_of,1.0,spec_numbering,KS5,OCR,2.05g,KS5,OCR,2.05,704,697
|
| Quantities and Units in Mechanics,Mechanics,part_of,1.0,spec_numbering,KS5,OCR,3.01,KS5,OCR,3,705,536
|
| Kinematics,Mechanics,part_of,1.0,spec_numbering,KS5,OCR,3.02,KS5,OCR,3,706,536
|
| The language of kinematics,Quantities and Units in Mechanics,part_of,1.0,spec_numbering,KS5,OCR,3.01a,KS5,OCR,3.01,707,705
|
| Derived quantities and units,Quantities and Units in Mechanics,part_of,1.0,spec_numbering,KS5,OCR,3.01b,KS5,OCR,3.01,708,705
|
| The unit for moment,Quantities and Units in Mechanics,part_of,1.0,spec_numbering,KS5,OCR,3.01c,KS5,OCR,3.01,709,705
|
| The language of kinematics,Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02a,KS5,OCR,3.02,710,706
|
| "Understand, use and interpret graphs in kinematics for motion in a straight line",Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02b,KS5,OCR,3.02,711,706
|
| Interpret displacement-time and velocity- time graphs,Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02c,KS5,OCR,3.02,712,706
|
| "Understand, use and derive the formulae for constant acceleration for motion",Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02d,KS5,OCR,3.02,713,706
|
| Extend the constant acceleration formulae to motion in two dimensions using,Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02e,KS5,OCR,3.02,714,706
|
| Differentiation and integration with respect to time in one dimension,Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02f,KS5,OCR,3.02,715,706
|
| Extend the application of differentiation and integration to two dimensions,Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02g,KS5,OCR,3.02,716,706
|
| Model motion under gravity in a vertical plane using vectors,Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02h,KS5,OCR,3.02,717,706
|
| Model the motion of a projectile as a particle moving with constant,Kinematics,part_of,1.0,spec_numbering,KS5,OCR,3.02i,KS5,OCR,3.02,718,706
|
| Forces and Newton’s Laws,Mechanics,part_of,1.0,spec_numbering,KS5,OCR,3.03,KS5,OCR,3,719,536
|
| Understand the concept and vector nature of a force,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03a,KS5,OCR,3.03,720,719
|
| Newton’s first law,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03b,KS5,OCR,3.03,721,719
|
| Newton’s second law,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03c,KS5,OCR,3.03,722,719
|
| Extend use of Newton’s second law to situations where forces need to be,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03e,KS5,OCR,3.03,723,719
|
| Newton’s second law (F ma = ) in simple cases of forces,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03d,KS5,OCR,3.03,724,719
|
| The weight of a body to model the motion,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03f,KS5,OCR,3.03,725,719
|
| "Understand the gravitational acceleration, g, and its value in S.I",Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03g,KS5,OCR,3.03,726,719
|
| Newton’s third law,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03h,KS5,OCR,3.03,727,719
|
| Extend use of Newton’s third law to situations where forces need to be resolved,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03l,KS5,OCR,3.03,728,719
|
| The concept of a normal reaction force,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03i,KS5,OCR,3.03,729,719
|
| The model of a ‘smooth’ contact and understand the limitations of the model,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03j,KS5,OCR,3.03,730,719
|
| The concept of equilibrium together with one dimensional motion,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03k,KS5,OCR,3.03,731,719
|
| The principle that a particle is in equilibrium if and only if the sum,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03m,KS5,OCR,3.03,732,719
|
| Solve problems involving simple cases of equilibrium of forces on a particle,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03n,KS5,OCR,3.03,733,719
|
| Resolve forces for more advanced problems involving connected particles,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03o,KS5,OCR,3.03,734,719
|
| Understand the term ‘resultant’ as applied to two or more forces acting at a point and be,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03p,KS5,OCR,3.03,735,719
|
| Solve problems involving the dynamics of motion for a particle moving,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03q,KS5,OCR,3.03,736,719
|
| Understand the concept of a frictional force and be able to apply it in contexts,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03r,KS5,OCR,3.03,737,719
|
| Represent the contact force between two rough surfaces by two components (the,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03s,KS5,OCR,3.03,738,719
|
| The coefficient of friction,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03t,KS5,OCR,3.03,739,719
|
| Solve problems regarding the static equilibrium of a body on,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03u,KS5,OCR,3.03,740,719
|
| Solve problems regarding the motion of a body on a rough surface,Forces and Newton’s Laws,part_of,1.0,spec_numbering,KS5,OCR,3.03v,KS5,OCR,3.03,741,719
|
| Moments,Mechanics,part_of,1.0,spec_numbering,KS5,OCR,3.04,KS5,OCR,3,742,536
|
| Calculate the moment of a force about an axis through a point in the plane,Moments,part_of,1.0,spec_numbering,KS5,OCR,3.04a,KS5,OCR,3.04,743,742
|
| Understand that when a rigid body is in equilibrium the resultant moment is zero,Moments,part_of,1.0,spec_numbering,KS5,OCR,3.04b,KS5,OCR,3.04,744,742
|
| Moments in simple static contexts,Moments,part_of,1.0,spec_numbering,KS5,OCR,3.04c,KS5,OCR,3.04,745,742
|
| Measures and accuracy,Number,part_of,1.0,spec_numbering,KS4,AQA,3.1.3,KS4,AQA,3.1,787,1
|
| Quantities and units in mechanics,Mechanics,part_of,1.0,spec_numbering,KS5,Edexcel,M6,KS5,Edexcel,M,788,456
|
| Kinematics,Mechanics,part_of,1.0,spec_numbering,KS5,Edexcel,M7,KS5,Edexcel,M,789,456
|
| Forces and Newton’s laws,Mechanics,part_of,1.0,spec_numbering,KS5,Edexcel,M8,KS5,Edexcel,M,790,456
|
| Understand and use the friction model and coefficient of friction,Forces and Newton’s laws,part_of,1.0,spec_numbering,KS5,Edexcel,M8.6,KS5,Edexcel,M8,791,790
|
| Moments,Mechanics,part_of,1.0,spec_numbering,KS5,Edexcel,M9,KS5,Edexcel,M,792,456
|
| Proof,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P1,KS5,Edexcel,P,793,454
|
| Vectors,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P10,KS5,Edexcel,P,794,454
|
| Algebra and functions,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P2,KS5,Edexcel,P,795,454
|
| "Coordinate geometry in the (x,y) plane",Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P3,KS5,Edexcel,P,796,454
|
| Sequences and series,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P4,KS5,Edexcel,P,797,454
|
| Trigonometry,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P5,KS5,Edexcel,P,798,454
|
| Exponentials and logarithms,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P6,KS5,Edexcel,P,799,454
|
| Differentiation,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P7,KS5,Edexcel,P,800,454
|
| Integration,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P8,KS5,Edexcel,P,801,454
|
| Numerical methods,Pure mathematics,part_of,1.0,spec_numbering,KS5,Edexcel,P9,KS5,Edexcel,P,802,454
|
| Statistical sampling,Statistics,part_of,1.0,spec_numbering,KS5,Edexcel,S1,KS5,Edexcel,S,803,455
|
| Data presentation and interpretation,Statistics,part_of,1.0,spec_numbering,KS5,Edexcel,S2,KS5,Edexcel,S,804,455
|
| Interpret diagrams for single-variable data,Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,Edexcel,S2.1,KS5,Edexcel,S2,805,804
|
| "Interpret measures of central tendency and variation, extending to standard deviation",Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,Edexcel,S2.3,KS5,Edexcel,S2,806,804
|
| Recognise and interpret possible outliers in data sets and statistical diagrams,Data presentation and interpretation,part_of,1.0,spec_numbering,KS5,Edexcel,S2.4,KS5,Edexcel,S2,807,804
|
| Probability,Statistics,part_of,1.0,spec_numbering,KS5,Edexcel,S3,KS5,Edexcel,S,808,455
|
| Understand and use mutually exclusive and independent events when calculating,Probability,part_of,1.0,spec_numbering,KS5,Edexcel,S3.1,KS5,Edexcel,S3,809,808
|
| "Understand and use conditional probability, including the use of tree diagrams",Probability,part_of,1.0,spec_numbering,KS5,Edexcel,S3.2,KS5,Edexcel,S3,810,808
|
| "Modelling with probability, including critiquing assumptions made and the likely effect",Probability,part_of,1.0,spec_numbering,KS5,Edexcel,S3.3,KS5,Edexcel,S3,811,808
|
| Statistical distributions,Statistics,part_of,1.0,spec_numbering,KS5,Edexcel,S4,KS5,Edexcel,S,812,455
|
| "Understand and use simple, discrete probability distributions (calculation of mean",Statistical distributions,part_of,1.0,spec_numbering,KS5,Edexcel,S4.1,KS5,Edexcel,S4,813,812
|
| Understand and use the Normal distribution as a model,Statistical distributions,part_of,1.0,spec_numbering,KS5,Edexcel,S4.2,KS5,Edexcel,S4,814,812
|
| Select an appropriate probability distribution for a context,Statistical distributions,part_of,1.0,spec_numbering,KS5,Edexcel,S4.3,KS5,Edexcel,S4,815,812
|
| Statistical hypothesis testing,Statistics,part_of,1.0,spec_numbering,KS5,Edexcel,S5,KS5,Edexcel,S,816,455
|
| Understand and apply the language of statistical hypothesis testing,Statistical hypothesis testing,part_of,1.0,spec_numbering,KS5,Edexcel,S5.1,KS5,Edexcel,S5,817,816
|
| Conduct a statistical hypothesis test for the mean of a Normal distribution with known,Statistical hypothesis testing,part_of,1.0,spec_numbering,KS5,Edexcel,S5.3,KS5,Edexcel,S5,818,816
|
| Four rules,"Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,1.01a,KS4,"AQA,Edexcel",N2,131,4
|
| Definitions and terms,"Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,1.02a,KS4,"AQA,Edexcel",N2,133,4
|
| Definitions and terms,"Use the concepts and vocabulary of prime numbers, factors (divisors), multiples",related_to,0.9,spec_numbering,KS4,OCR,1.02a,KS4,"AQA,Edexcel",N4,133,6
|
| Definitions and terms,Use positive integer powers and associated real roots (square,related_to,0.9,spec_numbering,KS4,OCR,1.02a,KS4,"AQA,Edexcel",N6,133,8
|
| Prime numbers,"Use the concepts and vocabulary of prime numbers, factors (divisors), multiples",related_to,0.9,spec_numbering,KS4,OCR,1.02b,KS4,"AQA,Edexcel",N4,134,6
|
| Prime numbers,Use positive integer powers and associated real roots (square,related_to,0.9,spec_numbering,KS4,OCR,1.02b,KS4,"AQA,Edexcel",N6,134,8
|
| Highest Common Factor (HCF) and,"Use the concepts and vocabulary of prime numbers, factors (divisors), multiples",related_to,0.9,spec_numbering,KS4,OCR,1.02c,KS4,"AQA,Edexcel",N4,135,6
|
| Priority of operations,"Recognise and use relationships between operations, including inverse operations",related_to,0.9,spec_numbering,KS4,OCR,1.03a,KS4,"AQA,Edexcel",N3,137,5
|
| Inverse operations,"Recognise and use relationships between operations, including inverse operations",related_to,0.9,spec_numbering,KS4,OCR,1.04a,KS4,"AQA,Edexcel",N3,139,5
|
| Inverse operations,Use positive integer powers and associated real roots (square,related_to,0.9,spec_numbering,KS4,OCR,1.04a,KS4,"AQA,Edexcel",N6,139,8
|
| Equivalent fractions,"Recognise and use relationships between operations, including inverse operations",related_to,0.9,spec_numbering,KS4,OCR,2.01a,KS4,"AQA,Edexcel",N3,142,5
|
| Calculations with fractions,"Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,2.01b,KS4,"AQA,Edexcel",N2,143,4
|
| Calculations with fractions,Calculate exactly with fractions calculate exactly with multiples,related_to,0.9,spec_numbering,KS4,OCR,2.01b,KS4,"AQA,Edexcel",N8,143,10
|
| Fractions of a quantity,Interpret fractions and percentages as operators,related_to,0.9,spec_numbering,KS4,OCR,2.01c,KS4,"AQA,Edexcel",N12,144,15
|
| Fractions of a quantity,Express one quantity as a fraction of another,related_to,0.9,spec_numbering,KS4,OCR,2.01c,KS4,"AQA,Edexcel",R3,144,53
|
| Fractions of a quantity,Express a multiplicative relationship between two quantities as a ratio or a fraction,related_to,0.9,spec_numbering,KS4,OCR,2.01c,KS4,"AQA,Edexcel",R6,144,56
|
| Decimals and fractions,"Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,2.02a,KS4,"AQA,Edexcel",N2,146,4
|
| Decimals and fractions,Work interchangeably with terminating decimals and their corresponding fractions (such as,related_to,0.9,spec_numbering,KS4,OCR,2.02a,KS4,"AQA,Edexcel",N10,146,13
|
| "Addition, subtraction and multiplication","Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,2.02b,KS4,"AQA,Edexcel",N2,147,4
|
| Division of decimals,"Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,2.02c,KS4,"AQA,Edexcel",N2,148,4
|
| Percentage conversions,Define percentage as ‘number of parts per hundred’,related_to,0.9,spec_numbering,KS4,OCR,2.03a,KS4,"AQA,Edexcel",R9,150,59
|
| Percentage calculations,Interpret fractions and percentages as operators,related_to,0.9,spec_numbering,KS4,OCR,2.03b,KS4,"AQA,Edexcel",N12,151,15
|
| Percentage calculations,Define percentage as ‘number of parts per hundred’,related_to,0.9,spec_numbering,KS4,OCR,2.03b,KS4,"AQA,Edexcel",R9,151,59
|
| Percentage change,Interpret fractions and percentages as operators,related_to,0.9,spec_numbering,KS4,OCR,2.03c,KS4,"AQA,Edexcel",N12,152,15
|
| Percentage change,Define percentage as ‘number of parts per hundred’,related_to,0.9,spec_numbering,KS4,OCR,2.03c,KS4,"AQA,Edexcel",R9,152,59
|
| Ordinality,"Order positive and negative integers, decimals and fractions",related_to,0.9,spec_numbering,KS4,OCR,2.04a,KS4,"AQA,Edexcel",N1,154,3
|
| Ordinality,"Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,2.04a,KS4,"AQA,Edexcel",N2,154,4
|
| Ordinality,Define percentage as ‘number of parts per hundred’,related_to,0.9,spec_numbering,KS4,OCR,2.04a,KS4,"AQA,Edexcel",R9,154,59
|
| Symbols,"Order positive and negative integers, decimals and fractions",related_to,0.9,spec_numbering,KS4,OCR,2.04b,KS4,"AQA,Edexcel",N1,155,3
|
| Index notation,Use positive integer powers and associated real roots (square,related_to,0.9,spec_numbering,KS4,OCR,3.01a,KS4,"AQA,Edexcel",N6,158,8
|
| Index notation,"Calculate with roots, and with integer indices calculate with fractional indices",related_to,0.9,spec_numbering,KS4,OCR,3.01a,KS4,"AQA,Edexcel",N7,158,9
|
| Calculation and estimation of powers,Use positive integer powers and associated real roots (square,related_to,0.9,spec_numbering,KS4,OCR,3.01b,KS4,"AQA,Edexcel",N6,159,8
|
| Calculation and estimation of powers,"Calculate with roots, and with integer indices calculate with fractional indices",related_to,0.9,spec_numbering,KS4,OCR,3.01b,KS4,"AQA,Edexcel",N7,159,9
|
| Laws of indices,"Calculate with roots, and with integer indices calculate with fractional indices",related_to,0.9,spec_numbering,KS4,OCR,3.01c,KS4,"AQA,Edexcel",N7,160,9
|
| Laws of indices,Simplify and manipulate algebraic expressions,related_to,0.9,spec_numbering,KS4,OCR,3.01c,KS4,"AQA,Edexcel",A4,160,25
|
| Standard form,Calculate with and interpret standard form,related_to,0.9,spec_numbering,KS4,OCR,3.02a,KS4,"AQA,Edexcel",N9,162,11
|
| Calculations with numbers in standard,Calculate with and interpret standard form,related_to,0.9,spec_numbering,KS4,OCR,3.02b,KS4,"AQA,Edexcel",N9,163,11
|
| Exact calculations,"Apply the four operations, including formal written methods, to integers",related_to,0.9,spec_numbering,KS4,OCR,3.03a,KS4,"AQA,Edexcel",N2,165,4
|
| Exact calculations,Calculate exactly with fractions calculate exactly with multiples,related_to,0.9,spec_numbering,KS4,OCR,3.03a,KS4,"AQA,Edexcel",N8,165,10
|
| Manipulating surds,Calculate exactly with fractions calculate exactly with multiples,related_to,0.9,spec_numbering,KS4,OCR,3.03b,KS4,"AQA,Edexcel",N8,166,10
|
| Rounding,Round numbers and measures to an appropriate degree of accuracy,related_to,0.9,spec_numbering,KS4,OCR,4.01a,KS4,"AQA,Edexcel",N15,169,18
|
| Estimation,Estimate answers,related_to,0.9,spec_numbering,KS4,OCR,4.01b,KS4,"AQA,Edexcel",N14,170,17
|
| Upper and lower bounds,Round numbers and measures to an appropriate degree of accuracy,related_to,0.9,spec_numbering,KS4,OCR,4.01c,KS4,"AQA,Edexcel",N15,171,18
|
| Upper and lower bounds,Apply and interpret limits of accuracy including upper and lower bounds,related_to,0.9,spec_numbering,KS4,OCR,4.01c,KS4,"AQA,Edexcel",N16,171,19
|
| Equivalent ratios,"Use ratio notation, including reduction to simplest form",related_to,0.9,spec_numbering,KS4,OCR,5.01a,KS4,"AQA,Edexcel",R4,174,54
|
| Equivalent ratios,Divide a given quantity into two parts in a given part,related_to,0.9,spec_numbering,KS4,OCR,5.01a,KS4,"AQA,Edexcel",R5,174,55
|
| Division in a given ratio,Divide a given quantity into two parts in a given part,related_to,0.9,spec_numbering,KS4,OCR,5.01b,KS4,"AQA,Edexcel",R5,175,55
|
| Division in a given ratio,Express a multiplicative relationship between two quantities as a ratio or a fraction,related_to,0.9,spec_numbering,KS4,OCR,5.01b,KS4,"AQA,Edexcel",R6,175,56
|
| Ratios and fractions,Identify and work with fractions in ratio problems,related_to,0.9,spec_numbering,KS4,OCR,5.01c,KS4,"AQA,Edexcel",N11,176,14
|
| Ratios and fractions,Divide a given quantity into two parts in a given part,related_to,0.9,spec_numbering,KS4,OCR,5.01c,KS4,"AQA,Edexcel",R5,176,55
|
| Ratios and fractions,Express a multiplicative relationship between two quantities as a ratio or a fraction,related_to,0.9,spec_numbering,KS4,OCR,5.01c,KS4,"AQA,Edexcel",R6,176,56
|
| Ratios and fractions,Relate ratios to fractions and to linear functions,related_to,0.9,spec_numbering,KS4,OCR,5.01c,KS4,"AQA,Edexcel",R8,176,58
|
| Solve ratio and proportion problems,Divide a given quantity into two parts in a given part,related_to,0.9,spec_numbering,KS4,OCR,5.01d,KS4,"AQA,Edexcel",R5,177,55
|
| Solve ratio and proportion problems,Relate ratios to fractions and to linear functions,related_to,0.9,spec_numbering,KS4,OCR,5.01d,KS4,"AQA,Edexcel",R8,177,58
|
| Direct proportion,Understand and use proportion as equality of ratios,related_to,0.9,spec_numbering,KS4,OCR,5.02a,KS4,"AQA,Edexcel",R7,179,57
|
| Direct proportion,Solve problems involving direct and inverse proportion,related_to,0.9,spec_numbering,KS4,OCR,5.02a,KS4,"AQA,Edexcel",R10,179,60
|
| Direct proportion,Understand that X is inversely proportional to Y is equivalent,related_to,0.9,spec_numbering,KS4,OCR,5.02a,KS4,"AQA,Edexcel",R13,179,63
|
| Inverse proportion,Solve problems involving direct and inverse proportion,related_to,0.9,spec_numbering,KS4,OCR,5.02b,KS4,"AQA,Edexcel",R10,180,60
|
| Inverse proportion,Understand that X is inversely proportional to Y is equivalent,related_to,0.9,spec_numbering,KS4,OCR,5.02b,KS4,"AQA,Edexcel",R13,180,63
|
| Growth and decay,Define percentage as ‘number of parts per hundred’,related_to,0.9,spec_numbering,KS4,OCR,5.03a,KS4,"AQA,Edexcel",R9,182,59
|
| Growth and decay,"Set up, solve and interpret the answers in growth and decay problems",related_to,0.9,spec_numbering,KS4,OCR,5.03a,KS4,"AQA,Edexcel",R16,182,66
|
| Algebraic terminology and proofs,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.01a,KS4,"AQA,Edexcel",A3,185,24
|
| Algebraic terminology and proofs,Know the difference between an equation and an identity,related_to,0.9,spec_numbering,KS4,OCR,6.01a,KS4,"AQA,Edexcel",A6,185,27
|
| Collecting like terms in sums and,Use and interpret algebraic notation,related_to,0.9,spec_numbering,KS4,OCR,6.01b,KS4,"AQA,Edexcel",A1,186,22
|
| Collecting like terms in sums and,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.01b,KS4,"AQA,Edexcel",A3,186,24
|
| Collecting like terms in sums and,Simplify and manipulate algebraic expressions,related_to,0.9,spec_numbering,KS4,OCR,6.01b,KS4,"AQA,Edexcel",A4,186,25
|
| Simplifying products and quotients,"Recognise and use relationships between operations, including inverse operations",related_to,0.9,spec_numbering,KS4,OCR,6.01c,KS4,"AQA,Edexcel",N3,187,5
|
| Simplifying products and quotients,Use and interpret algebraic notation,related_to,0.9,spec_numbering,KS4,OCR,6.01c,KS4,"AQA,Edexcel",A1,187,22
|
| Simplifying products and quotients,Simplify and manipulate algebraic expressions,related_to,0.9,spec_numbering,KS4,OCR,6.01c,KS4,"AQA,Edexcel",A4,187,25
|
| Multiplying out brackets,Use and interpret algebraic notation,related_to,0.9,spec_numbering,KS4,OCR,6.01d,KS4,"AQA,Edexcel",A1,188,22
|
| Multiplying out brackets,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.01d,KS4,"AQA,Edexcel",A3,188,24
|
| Multiplying out brackets,Simplify and manipulate algebraic expressions,related_to,0.9,spec_numbering,KS4,OCR,6.01d,KS4,"AQA,Edexcel",A4,188,25
|
| Factorising,Use and interpret algebraic notation,related_to,0.9,spec_numbering,KS4,OCR,6.01e,KS4,"AQA,Edexcel",A1,189,22
|
| Factorising,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.01e,KS4,"AQA,Edexcel",A3,189,24
|
| Factorising,Simplify and manipulate algebraic expressions,related_to,0.9,spec_numbering,KS4,OCR,6.01e,KS4,"AQA,Edexcel",A4,189,25
|
| Completing the square,"Identify and interpret roots, intercepts and turning points of quadratic functions",related_to,0.9,spec_numbering,KS4,OCR,6.01f,KS4,"AQA,Edexcel",A11,190,33
|
| Completing the square,Solve quadratic equations algebraically by factorising including those that require,related_to,0.9,spec_numbering,KS4,OCR,6.01f,KS4,"AQA,Edexcel",A18,190,41
|
| Algebraic fractions,Use and interpret algebraic notation,related_to,0.9,spec_numbering,KS4,OCR,6.01g,KS4,"AQA,Edexcel",A1,191,22
|
| Algebraic fractions,Simplify and manipulate algebraic expressions,related_to,0.9,spec_numbering,KS4,OCR,6.01g,KS4,"AQA,Edexcel",A4,191,25
|
| Formulate algebraic expressions,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.02a,KS4,"AQA,Edexcel",A3,193,24
|
| Formulate algebraic expressions,Understand and use standard mathematical formulae,related_to,0.9,spec_numbering,KS4,OCR,6.02a,KS4,"AQA,Edexcel",A5,193,26
|
| Formulate algebraic expressions,Translate simple situations or procedures into algebraic expressions or formulae,related_to,0.9,spec_numbering,KS4,OCR,6.02a,KS4,"AQA,Edexcel",A21,193,44
|
| Formulate algebraic expressions,Solve problems involving direct and inverse proportion,related_to,0.9,spec_numbering,KS4,OCR,6.02a,KS4,"AQA,Edexcel",R10,193,60
|
| Substitute numerical values into,"Substitute numerical values into formulae and expressions, including scientific formulae",related_to,0.9,spec_numbering,KS4,OCR,6.02b,KS4,"AQA,Edexcel",A2,194,23
|
| Substitute numerical values into,Understand and use standard mathematical formulae,related_to,0.9,spec_numbering,KS4,OCR,6.02b,KS4,"AQA,Edexcel",A5,194,26
|
| Change the subject of a formula,Simplify and manipulate algebraic expressions,related_to,0.9,spec_numbering,KS4,OCR,6.02c,KS4,"AQA,Edexcel",A4,195,25
|
| Change the subject of a formula,Understand and use standard mathematical formulae,related_to,0.9,spec_numbering,KS4,OCR,6.02c,KS4,"AQA,Edexcel",A5,195,26
|
| Recall and use standard formulae,"Substitute numerical values into formulae and expressions, including scientific formulae",related_to,0.9,spec_numbering,KS4,OCR,6.02d,KS4,"AQA,Edexcel",A2,196,23
|
| Recall and use standard formulae,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.02d,KS4,"AQA,Edexcel",A3,196,24
|
| Recall and use standard formulae,Understand and use standard mathematical formulae,related_to,0.9,spec_numbering,KS4,OCR,6.02d,KS4,"AQA,Edexcel",A5,196,26
|
| Use kinematics formulae,"Substitute numerical values into formulae and expressions, including scientific formulae",related_to,0.9,spec_numbering,KS4,OCR,6.02e,KS4,"AQA,Edexcel",A2,197,23
|
| Use kinematics formulae,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.02e,KS4,"AQA,Edexcel",A3,197,24
|
| Use kinematics formulae,Understand and use standard mathematical formulae,related_to,0.9,spec_numbering,KS4,OCR,6.02e,KS4,"AQA,Edexcel",A5,197,26
|
| Linear equations in one unknown,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.03a,KS4,"AQA,Edexcel",A3,199,24
|
| Linear equations in one unknown,Solve linear equations in one unknown algebraically,related_to,0.9,spec_numbering,KS4,OCR,6.03a,KS4,"AQA,Edexcel",A17,199,40
|
| Linear equations in one unknown,Translate simple situations or procedures into algebraic expressions or formulae,related_to,0.9,spec_numbering,KS4,OCR,6.03a,KS4,"AQA,Edexcel",A21,199,44
|
| Quadratic equations,Solve quadratic equations algebraically by factorising including those that require,related_to,0.9,spec_numbering,KS4,OCR,6.03b,KS4,"AQA,Edexcel",A18,200,41
|
| Simultaneous equations,Solve two simultaneous equations in two variables (linear/linear) algebraically,related_to,0.9,spec_numbering,KS4,OCR,6.03c,KS4,"AQA,Edexcel",A19,201,42
|
| Simultaneous equations,Translate simple situations or procedures into algebraic expressions or formulae,related_to,0.9,spec_numbering,KS4,OCR,6.03c,KS4,"AQA,Edexcel",A21,201,44
|
| Approximate solutions using a graph,"Identify and interpret roots, intercepts and turning points of quadratic functions",related_to,0.9,spec_numbering,KS4,OCR,6.03d,KS4,"AQA,Edexcel",A11,202,33
|
| Approximate solutions using a graph,Solve linear equations in one unknown algebraically,related_to,0.9,spec_numbering,KS4,OCR,6.03d,KS4,"AQA,Edexcel",A17,202,40
|
| Approximate solutions using a graph,Solve quadratic equations algebraically by factorising including those that require,related_to,0.9,spec_numbering,KS4,OCR,6.03d,KS4,"AQA,Edexcel",A18,202,41
|
| Approximate solutions using a graph,Solve two simultaneous equations in two variables (linear/linear) algebraically,related_to,0.9,spec_numbering,KS4,OCR,6.03d,KS4,"AQA,Edexcel",A19,202,42
|
| Approximate solutions by iteration,Find approximate solutions to equations numerically using iteration,related_to,0.9,spec_numbering,KS4,OCR,6.03e,KS4,"AQA,Edexcel",A20,203,43
|
| Approximate solutions by iteration,"Set up, solve and interpret the answers in growth and decay problems",related_to,0.9,spec_numbering,KS4,OCR,6.03e,KS4,"AQA,Edexcel",R16,203,66
|
| Inequalities in one variable,"Order positive and negative integers, decimals and fractions",related_to,0.9,spec_numbering,KS4,OCR,6.04a,KS4,"AQA,Edexcel",N1,205,3
|
| Inequalities in one variable,"Understand and use the concepts and vocabulary of expressions, equations",related_to,0.9,spec_numbering,KS4,OCR,6.04a,KS4,"AQA,Edexcel",A3,205,24
|
| Inequalities in one variable,Solve linear inequalities in one variable solve linear inequalities in one or two,related_to,0.9,spec_numbering,KS4,OCR,6.04a,KS4,"AQA,Edexcel",A22,205,45
|
| Inequalities in two variables,Solve linear inequalities in one variable solve linear inequalities in one or two,related_to,0.9,spec_numbering,KS4,OCR,6.04b,KS4,"AQA,Edexcel",A22,206,45
|
| Functions,"Where appropriate, interpret simple expressions as functions with inputs and outputs",related_to,0.9,spec_numbering,KS4,OCR,6.05a,KS4,"AQA,Edexcel",A7,208,28
|
| Generate terms of a sequence,Generate terms of a sequence from either a term-to-term or a position-to-term rule,related_to,0.9,spec_numbering,KS4,OCR,6.06a,KS4,"AQA,Edexcel",A23,210,47
|
| Generate terms of a sequence,Deduce expressions to calculate the nth term of linear sequences including quadratic,related_to,0.9,spec_numbering,KS4,OCR,6.06a,KS4,"AQA,Edexcel",A25,210,49
|
| Special sequences,Recognise and use sequences of triangular,related_to,0.9,spec_numbering,KS4,OCR,6.06b,KS4,"AQA,Edexcel",A24,211,48
|
| x- and y-coordinates,Work with coordinates in all four quadrants,related_to,0.9,spec_numbering,KS4,OCR,7.01a,KS4,"AQA,Edexcel",A8,214,30
|
| Graphs of equations and functions,Plot graphs of equations that correspond to straight-line graphs in the coordinate plane,related_to,0.9,spec_numbering,KS4,OCR,7.01b,KS4,"AQA,Edexcel",A9,215,31
|
| Graphs of equations and functions,"Plot and interpret graphs, and graphs of non-standard functions in real contexts",related_to,0.9,spec_numbering,KS4,OCR,7.01b,KS4,"AQA,Edexcel",A14,215,36
|
| Polynomial and reciprocal functions,"Identify and interpret roots, intercepts and turning points of quadratic functions",related_to,0.9,spec_numbering,KS4,OCR,7.01c,KS4,"AQA,Edexcel",A11,216,33
|
| Polynomial and reciprocal functions,"Recognise, sketch and interpret graphs of linear functions and quadratic functions",related_to,0.9,spec_numbering,KS4,OCR,7.01c,KS4,"AQA,Edexcel",A12,216,34
|
| Exponential functions,"Recognise, sketch and interpret graphs of linear functions and quadratic functions",related_to,0.9,spec_numbering,KS4,OCR,7.01d,KS4,"AQA,Edexcel",A12,217,34
|
| Trigonometric functions,"Recognise, sketch and interpret graphs of linear functions and quadratic functions",related_to,0.9,spec_numbering,KS4,OCR,7.01e,KS4,"AQA,Edexcel",A12,218,34
|
| Equations of circles,Recognise and use the equation of a circle with centre at the origin,related_to,0.9,spec_numbering,KS4,OCR,7.01f,KS4,"AQA,Edexcel",A16,219,38
|
| Straight line graphs,Plot graphs of equations that correspond to straight-line graphs in the coordinate plane,related_to,0.9,spec_numbering,KS4,OCR,7.02a,KS4,"AQA,Edexcel",A9,221,31
|
| Straight line graphs,Identify and interpret gradients and intercepts of linear functions graphically,related_to,0.9,spec_numbering,KS4,OCR,7.02a,KS4,"AQA,Edexcel",A10,221,32
|
| Straight line graphs,Solve linear inequalities in one variable solve linear inequalities in one or two,related_to,0.9,spec_numbering,KS4,OCR,7.02a,KS4,"AQA,Edexcel",A22,221,45
|
| Parallel and perpendicular lines,Plot graphs of equations that correspond to straight-line graphs in the coordinate plane,related_to,0.9,spec_numbering,KS4,OCR,7.02b,KS4,"AQA,Edexcel",A9,222,31
|
| Parallel and perpendicular lines,Recognise and use the equation of a circle with centre at the origin,related_to,0.9,spec_numbering,KS4,OCR,7.02b,KS4,"AQA,Edexcel",A16,222,38
|
| Translations and reflections,Sketch translations and reflections of a given function,related_to,0.9,spec_numbering,KS4,OCR,7.03a,KS4,"AQA,Edexcel",A13,224,35
|
| Graphs of real-world contexts,"Plot and interpret graphs, and graphs of non-standard functions in real contexts",related_to,0.9,spec_numbering,KS4,OCR,7.04a,KS4,"AQA,Edexcel",A14,226,36
|
| Graphs of real-world contexts,Solve problems involving direct and inverse proportion,related_to,0.9,spec_numbering,KS4,OCR,7.04a,KS4,"AQA,Edexcel",R10,226,60
|
| Graphs of real-world contexts,Interpret the gradient of a straight-line graph as a rate of change,related_to,0.9,spec_numbering,KS4,OCR,7.04a,KS4,"AQA,Edexcel",R14,226,64
|
| Gradients,"Plot and interpret graphs, and graphs of non-standard functions in real contexts",related_to,0.9,spec_numbering,KS4,OCR,7.04b,KS4,"AQA,Edexcel",A14,227,36
|
| Gradients,Calculate or estimate gradients of graphs and areas under graphs,related_to,0.9,spec_numbering,KS4,OCR,7.04b,KS4,"AQA,Edexcel",A15,227,37
|
| Gradients,Relate ratios to fractions and to linear functions,related_to,0.9,spec_numbering,KS4,OCR,7.04b,KS4,"AQA,Edexcel",R8,227,58
|
| Gradients,Interpret the gradient of a straight-line graph as a rate of change,related_to,0.9,spec_numbering,KS4,OCR,7.04b,KS4,"AQA,Edexcel",R14,227,64
|
| Gradients,Interpret the gradient at a point on a curve as the instantaneous rate of change,related_to,0.9,spec_numbering,KS4,OCR,7.04b,KS4,"AQA,Edexcel",R15,227,65
|
| Areas,Calculate or estimate gradients of graphs and areas under graphs,related_to,0.9,spec_numbering,KS4,OCR,7.04c,KS4,"AQA,Edexcel",A15,228,37
|
| 2D and 3D shapes,Use conventional terms and notations,related_to,0.9,spec_numbering,KS4,OCR,8.01a,KS4,"AQA,Edexcel",G1,231,69
|
| Angles,Use conventional terms and notations,related_to,0.9,spec_numbering,KS4,OCR,8.01b,KS4,"AQA,Edexcel",G1,232,69
|
| Polygons,Use conventional terms and notations,related_to,0.9,spec_numbering,KS4,OCR,8.01c,KS4,"AQA,Edexcel",G1,233,69
|
| Polyhedra and other solids,"Identify properties of the faces, surfaces, edges and vertices",related_to,0.9,spec_numbering,KS4,OCR,8.01d,KS4,"AQA,Edexcel",G12,234,80
|
| Diagrams,Use conventional terms and notations,related_to,0.9,spec_numbering,KS4,OCR,8.01e,KS4,"AQA,Edexcel",G1,235,69
|
| Geometrical instruments,Use the standard ruler and compass constructions (perpendicular bisector of a line,related_to,0.9,spec_numbering,KS4,OCR,8.01f,KS4,"AQA,Edexcel",G2,236,70
|
| Geometrical instruments,Measure line segments and angles in geometric figures,related_to,0.9,spec_numbering,KS4,OCR,8.01f,KS4,"AQA,Edexcel",G15,236,84
|
| x- and y-coordinates,"Identify, describe and construct congruent and similar shapes",related_to,0.9,spec_numbering,KS4,OCR,8.01g,KS4,"AQA,Edexcel",G7,237,75
|
| x- and y-coordinates,Solve geometrical problems on coordinate axes,related_to,0.9,spec_numbering,KS4,OCR,8.01g,KS4,"AQA,Edexcel",G11,237,79
|
| Perpendicular bisector,Use the standard ruler and compass constructions (perpendicular bisector of a line,related_to,0.9,spec_numbering,KS4,OCR,8.02a,KS4,"AQA,Edexcel",G2,239,70
|
| Angle bisector,Use the standard ruler and compass constructions (perpendicular bisector of a line,related_to,0.9,spec_numbering,KS4,OCR,8.02b,KS4,"AQA,Edexcel",G2,240,70
|
| Perpendicular from a point to a line,Use the standard ruler and compass constructions (perpendicular bisector of a line,related_to,0.9,spec_numbering,KS4,OCR,8.02c,KS4,"AQA,Edexcel",G2,241,70
|
| Loci,Use the standard ruler and compass constructions (perpendicular bisector of a line,related_to,0.9,spec_numbering,KS4,OCR,8.02d,KS4,"AQA,Edexcel",G2,242,70
|
| Angles at a point,Apply the properties of angles at a point,related_to,0.9,spec_numbering,KS4,OCR,8.03a,KS4,"AQA,Edexcel",G3,244,71
|
| Angles at a point,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,8.03a,KS4,"AQA,Edexcel",G6,244,74
|
| Angles on a line,Apply the properties of angles at a point,related_to,0.9,spec_numbering,KS4,OCR,8.03b,KS4,"AQA,Edexcel",G3,245,71
|
| Angles on a line,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,8.03b,KS4,"AQA,Edexcel",G6,245,74
|
| Angles between intersecting and parallel,Apply the properties of angles at a point,related_to,0.9,spec_numbering,KS4,OCR,8.03c,KS4,"AQA,Edexcel",G3,246,71
|
| Angles between intersecting and parallel,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,8.03c,KS4,"AQA,Edexcel",G6,246,74
|
| Angles in polygons,Apply the properties of angles at a point,related_to,0.9,spec_numbering,KS4,OCR,8.03d,KS4,"AQA,Edexcel",G3,247,71
|
| Angles in polygons,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,8.03d,KS4,"AQA,Edexcel",G6,247,74
|
| Properties of a triangle,Derive and apply the properties and definitions,related_to,0.9,spec_numbering,KS4,OCR,8.04a,KS4,"AQA,Edexcel",G4,249,72
|
| Properties of a triangle,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,8.04a,KS4,"AQA,Edexcel",G6,249,74
|
| Properties of quadrilaterals,Derive and apply the properties and definitions,related_to,0.9,spec_numbering,KS4,OCR,8.04b,KS4,"AQA,Edexcel",G4,250,72
|
| Properties of quadrilaterals,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,8.04b,KS4,"AQA,Edexcel",G6,250,74
|
| Symmetry,Use conventional terms and notations,related_to,0.9,spec_numbering,KS4,OCR,8.04c,KS4,"AQA,Edexcel",G1,251,69
|
| Symmetry,Derive and apply the properties and definitions,related_to,0.9,spec_numbering,KS4,OCR,8.04c,KS4,"AQA,Edexcel",G4,251,72
|
| Circle nomenclature,Identify and apply circle definitions and properties,related_to,0.9,spec_numbering,KS4,OCR,8.05a,KS4,"AQA,Edexcel",G9,253,77
|
| Angles subtended at centre and,"Apply and prove the standard circle theorems concerning angles, radii",related_to,0.9,spec_numbering,KS4,OCR,8.05b,KS4,"AQA,Edexcel",G10,254,78
|
| Angle in a semicircle,"Apply and prove the standard circle theorems concerning angles, radii",related_to,0.9,spec_numbering,KS4,OCR,8.05c,KS4,"AQA,Edexcel",G10,255,78
|
| Angles in the same segment,"Apply and prove the standard circle theorems concerning angles, radii",related_to,0.9,spec_numbering,KS4,OCR,8.05d,KS4,"AQA,Edexcel",G10,256,78
|
| Angle between radius and chord,"Apply and prove the standard circle theorems concerning angles, radii",related_to,0.9,spec_numbering,KS4,OCR,8.05e,KS4,"AQA,Edexcel",G10,257,78
|
| Angle between radius and tangent,"Apply and prove the standard circle theorems concerning angles, radii",related_to,0.9,spec_numbering,KS4,OCR,8.05f,KS4,"AQA,Edexcel",G10,258,78
|
| The alternate segment theorem,"Apply and prove the standard circle theorems concerning angles, radii",related_to,0.9,spec_numbering,KS4,OCR,8.05g,KS4,"AQA,Edexcel",G10,259,78
|
| Cyclic quadrilaterals,"Apply and prove the standard circle theorems concerning angles, radii",related_to,0.9,spec_numbering,KS4,OCR,8.05h,KS4,"AQA,Edexcel",G10,260,78
|
| 3-dimensional solids,"Identify properties of the faces, surfaces, edges and vertices",related_to,0.9,spec_numbering,KS4,OCR,8.06a,KS4,"AQA,Edexcel",G12,262,80
|
| Plans and elevations,Use conventional terms and notations,related_to,0.9,spec_numbering,KS4,OCR,8.06b,KS4,"AQA,Edexcel",G1,263,69
|
| Plans and elevations,Interpret plans and elevations of 3D shapes construct and interpret plans and elevations,related_to,0.9,spec_numbering,KS4,OCR,8.06b,KS4,"AQA,Edexcel",G13,263,81
|
| Reflection,"Identify, describe and construct congruent and similar shapes",related_to,0.9,spec_numbering,KS4,OCR,9.01a,KS4,"AQA,Edexcel",G7,266,75
|
| Rotation,"Identify, describe and construct congruent and similar shapes",related_to,0.9,spec_numbering,KS4,OCR,9.01b,KS4,"AQA,Edexcel",G7,267,75
|
| Translation,"Identify, describe and construct congruent and similar shapes",related_to,0.9,spec_numbering,KS4,OCR,9.01c,KS4,"AQA,Edexcel",G7,268,75
|
| Translation,Describe translations as 2D vectors,related_to,0.9,spec_numbering,KS4,OCR,9.01c,KS4,"AQA,Edexcel",G24,268,94
|
| Combinations of transformations,Describe the changes and invariance achieved by combinations of rotations,related_to,0.9,spec_numbering,KS4,OCR,9.01d,KS4,"AQA,Edexcel",G8,269,76
|
| Congruent triangles,"Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)",related_to,0.9,spec_numbering,KS4,OCR,9.02a,KS4,"AQA,Edexcel",G5,271,73
|
| Congruent triangles,"Identify, describe and construct congruent and similar shapes",related_to,0.9,spec_numbering,KS4,OCR,9.02a,KS4,"AQA,Edexcel",G7,271,75
|
| Applying congruent triangles,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,9.02b,KS4,"AQA,Edexcel",G6,272,74
|
| Applying congruent triangles,Apply the concepts of congruence and similarity,related_to,0.9,spec_numbering,KS4,OCR,9.02b,KS4,"AQA,Edexcel",G19,272,88
|
| Vector arithmetic,"Apply addition and subtraction of vectors, multiplication of vectors by a scalar",related_to,0.9,spec_numbering,KS4,OCR,9.03a,KS4,"AQA,Edexcel",G25,274,95
|
| Column vectors,"Apply addition and subtraction of vectors, multiplication of vectors by a scalar",related_to,0.9,spec_numbering,KS4,OCR,9.03b,KS4,"AQA,Edexcel",G25,275,95
|
| Similar triangles,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,9.04a,KS4,"AQA,Edexcel",G6,277,74
|
| Similar triangles,"Identify, describe and construct congruent and similar shapes",related_to,0.9,spec_numbering,KS4,OCR,9.04a,KS4,"AQA,Edexcel",G7,277,75
|
| Enlargement,"Use scale factors, scale diagrams and maps",related_to,0.9,spec_numbering,KS4,OCR,9.04b,KS4,"AQA,Edexcel",R2,278,52
|
| Enlargement,"Compare lengths, areas and volumes using ratio notation",related_to,0.9,spec_numbering,KS4,OCR,9.04b,KS4,"AQA,Edexcel",R12,278,62
|
| Enlargement,"Identify, describe and construct congruent and similar shapes",related_to,0.9,spec_numbering,KS4,OCR,9.04b,KS4,"AQA,Edexcel",G7,278,75
|
| Similar shapes,"Compare lengths, areas and volumes using ratio notation",related_to,0.9,spec_numbering,KS4,OCR,9.04c,KS4,"AQA,Edexcel",R12,279,62
|
| Similar shapes,Apply the concepts of congruence and similarity,related_to,0.9,spec_numbering,KS4,OCR,9.04c,KS4,"AQA,Edexcel",G19,279,88
|
| Units of measurement,"Use standard units of mass, length, time, money and other measures",related_to,0.9,spec_numbering,KS4,OCR,10.01a,KS4,"AQA,Edexcel",N13,282,16
|
| Units of measurement,Change freely between related standard units,related_to,0.9,spec_numbering,KS4,OCR,10.01a,KS4,"AQA,Edexcel",R1,282,51
|
| Units of measurement,"Use standard units of measure and related concepts (length, area, volume/capacity",related_to,0.9,spec_numbering,KS4,OCR,10.01a,KS4,"AQA,Edexcel",G14,282,83
|
| Compound units,"Use standard units of mass, length, time, money and other measures",related_to,0.9,spec_numbering,KS4,OCR,10.01b,KS4,"AQA,Edexcel",N13,283,16
|
| Compound units,Change freely between related standard units,related_to,0.9,spec_numbering,KS4,OCR,10.01b,KS4,"AQA,Edexcel",R1,283,51
|
| Compound units,"Use compound units such as speed, rates of pay",related_to,0.9,spec_numbering,KS4,OCR,10.01b,KS4,"AQA,Edexcel",R11,283,61
|
| Compound units,"Use standard units of measure and related concepts (length, area, volume/capacity",related_to,0.9,spec_numbering,KS4,OCR,10.01b,KS4,"AQA,Edexcel",G14,283,83
|
| Maps and scale drawings,"Use scale factors, scale diagrams and maps",related_to,0.9,spec_numbering,KS4,OCR,10.01c,KS4,"AQA,Edexcel",R2,284,52
|
| Maps and scale drawings,Measure line segments and angles in geometric figures,related_to,0.9,spec_numbering,KS4,OCR,10.01c,KS4,"AQA,Edexcel",G15,284,84
|
| Perimeter of rectilinear shapes,Know the formulae: circumference of a circle,related_to,0.9,spec_numbering,KS4,OCR,10.02a,KS4,"AQA,Edexcel",G17,286,86
|
| Circumference of a circle,Know the formulae: circumference of a circle,related_to,0.9,spec_numbering,KS4,OCR,10.02b,KS4,"AQA,Edexcel",G17,287,86
|
| Circumference of a circle,"Calculate arc lengths, angles and areas of sectors of circles",related_to,0.9,spec_numbering,KS4,OCR,10.02b,KS4,"AQA,Edexcel",G18,287,87
|
| Perimeter of composite shapes,Know the formulae: circumference of a circle,related_to,0.9,spec_numbering,KS4,OCR,10.02c,KS4,"AQA,Edexcel",G17,288,86
|
| Perimeter of composite shapes,"Calculate arc lengths, angles and areas of sectors of circles",related_to,0.9,spec_numbering,KS4,OCR,10.02c,KS4,"AQA,Edexcel",G18,288,87
|
| Area of a triangle,Know and apply formulae to calculate,related_to,0.9,spec_numbering,KS4,OCR,10.03a,KS4,"AQA,Edexcel",G16,290,85
|
| Area of a triangle,Know and apply,related_to,0.9,spec_numbering,KS4,OCR,10.03a,KS4,"AQA,Edexcel",G23,290,92
|
| Area of a parallelogram,Know and apply formulae to calculate,related_to,0.9,spec_numbering,KS4,OCR,10.03b,KS4,"AQA,Edexcel",G16,291,85
|
| Area of a trapezium,Know and apply formulae to calculate,related_to,0.9,spec_numbering,KS4,OCR,10.03c,KS4,"AQA,Edexcel",G16,292,85
|
| Area of a circle,Know the formulae: circumference of a circle,related_to,0.9,spec_numbering,KS4,OCR,10.03d,KS4,"AQA,Edexcel",G17,293,86
|
| Area of a circle,"Calculate arc lengths, angles and areas of sectors of circles",related_to,0.9,spec_numbering,KS4,OCR,10.03d,KS4,"AQA,Edexcel",G18,293,87
|
| Area of composite shapes,Know the formulae: circumference of a circle,related_to,0.9,spec_numbering,KS4,OCR,10.03e,KS4,"AQA,Edexcel",G17,294,86
|
| Area of composite shapes,"Calculate arc lengths, angles and areas of sectors of circles",related_to,0.9,spec_numbering,KS4,OCR,10.03e,KS4,"AQA,Edexcel",G18,294,87
|
| Polyhedra,Know and apply formulae to calculate,related_to,0.9,spec_numbering,KS4,OCR,10.04a,KS4,"AQA,Edexcel",G16,296,85
|
| Cones and spheres,Calculate exactly with fractions calculate exactly with multiples,related_to,0.9,spec_numbering,KS4,OCR,10.04b,KS4,"AQA,Edexcel",N8,297,10
|
| Cones and spheres,Know the formulae: circumference of a circle,related_to,0.9,spec_numbering,KS4,OCR,10.04b,KS4,"AQA,Edexcel",G17,297,86
|
| Pyramids,Know the formulae: circumference of a circle,related_to,0.9,spec_numbering,KS4,OCR,10.04c,KS4,"AQA,Edexcel",G17,298,86
|
| Pythagoras’ theorem,"Apply angle facts, triangle congruence",related_to,0.9,spec_numbering,KS4,OCR,10.05a,KS4,"AQA,Edexcel",G6,300,74
|
| Pythagoras’ theorem,Know the formulae,related_to,0.9,spec_numbering,KS4,OCR,10.05a,KS4,"AQA,Edexcel",G20,300,89
|
| Trigonometry in right-angled triangles,"Compare lengths, areas and volumes using ratio notation",related_to,0.9,spec_numbering,KS4,OCR,10.05b,KS4,"AQA,Edexcel",R12,301,62
|
| Trigonometry in right-angled triangles,Know the formulae,related_to,0.9,spec_numbering,KS4,OCR,10.05b,KS4,"AQA,Edexcel",G20,301,89
|
| Exact trigonometric ratios,"Compare lengths, areas and volumes using ratio notation",related_to,0.9,spec_numbering,KS4,OCR,10.05c,KS4,"AQA,Edexcel",R12,302,62
|
| Exact trigonometric ratios,Know the exact values of sin and cos,related_to,0.9,spec_numbering,KS4,OCR,10.05c,KS4,"AQA,Edexcel",G21,302,90
|
| Sine rule,Know and apply the sine rule,related_to,0.9,spec_numbering,KS4,OCR,10.05d,KS4,"AQA,Edexcel",G22,303,91
|
| Cosine rule,Know and apply the sine rule,related_to,0.9,spec_numbering,KS4,OCR,10.05e,KS4,"AQA,Edexcel",G22,304,91
|
| The probability scale,Relate relative expected frequencies to theoretical probability,related_to,0.9,spec_numbering,KS4,OCR,11.01a,KS4,"AQA,Edexcel",P3,307,99
|
| Relative frequency,"Record, describe and analyse the frequency of outcomes of probability experiments using",related_to,0.9,spec_numbering,KS4,OCR,11.01b,KS4,"AQA,Edexcel",P1,308,97
|
| Relative frequency and probability,Relate relative expected frequencies to theoretical probability,related_to,0.9,spec_numbering,KS4,OCR,11.01c,KS4,"AQA,Edexcel",P3,309,99
|
| Relative frequency and probability,Understand that empirical unbiased samples tend towards theoretical probability,related_to,0.9,spec_numbering,KS4,OCR,11.01c,KS4,"AQA,Edexcel",P5,309,101
|
| Equally likely outcomes and probability,"Apply ideas of randomness, fairness and equally likely events to calculate expected",related_to,0.9,spec_numbering,KS4,OCR,11.01d,KS4,"AQA,Edexcel",P2,310,98
|
| Equally likely outcomes and probability,Construct theoretical possibility spaces for single and combined experiments with equally,related_to,0.9,spec_numbering,KS4,OCR,11.01d,KS4,"AQA,Edexcel",P7,310,103
|
| Sample spaces,Apply systematic listing strategies including use of the product rule for counting,related_to,0.9,spec_numbering,KS4,OCR,11.02a,KS4,"AQA,Edexcel",N5,312,7
|
| Sample spaces,"Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams",related_to,0.9,spec_numbering,KS4,OCR,11.02a,KS4,"AQA,Edexcel",P6,312,102
|
| Sample spaces,Construct theoretical possibility spaces for single and combined experiments with equally,related_to,0.9,spec_numbering,KS4,OCR,11.02a,KS4,"AQA,Edexcel",P7,312,103
|
| Enumeration,Apply systematic listing strategies including use of the product rule for counting,related_to,0.9,spec_numbering,KS4,OCR,11.02b,KS4,"AQA,Edexcel",N5,313,7
|
| Venn diagrams and sets,"Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams",related_to,0.9,spec_numbering,KS4,OCR,11.02c,KS4,"AQA,Edexcel",P6,314,102
|
| Venn diagrams and sets,Calculate and interpret conditional probabilities through representation using expected,related_to,0.9,spec_numbering,KS4,OCR,11.02c,KS4,"AQA,Edexcel",P9,314,105
|
| Tree diagrams,"Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams",related_to,0.9,spec_numbering,KS4,OCR,11.02d,KS4,"AQA,Edexcel",P6,315,102
|
| Tree diagrams,Calculate and interpret conditional probabilities through representation using expected,related_to,0.9,spec_numbering,KS4,OCR,11.02d,KS4,"AQA,Edexcel",P9,315,105
|
| The addition law of probability,Apply the property that the probabilities of an exhaustive set of outcomes sum to 1,related_to,0.9,spec_numbering,KS4,OCR,11.02e,KS4,"AQA,Edexcel",P4,316,100
|
| The multiplication law of probability and,Calculate the probability of independent and dependent combined events,related_to,0.9,spec_numbering,KS4,OCR,11.02f,KS4,"AQA,Edexcel",P8,317,104
|
| The multiplication law of probability and,Calculate and interpret conditional probabilities through representation using expected,related_to,0.9,spec_numbering,KS4,OCR,11.02f,KS4,"AQA,Edexcel",P9,317,105
|
| Populations and samples,Infer properties of populations or distributions from a sample,related_to,0.9,spec_numbering,KS4,OCR,12.01a,KS4,"AQA,Edexcel",S1,320,107
|
| Categorical and numerical data,"Interpret and construct tables, charts and diagrams, including frequency tables",related_to,0.9,spec_numbering,KS4,OCR,12.02a,KS4,"AQA,Edexcel",S2,322,108
|
| Grouped data,Construct and interpret diagrams for grouped discrete data and continuous data,related_to,0.9,spec_numbering,KS4,OCR,12.02b,KS4,"AQA,Edexcel",S3,323,109
|
| Grouped data,"Interpret, analyse and compare the distributions of data sets from univariate empirical",related_to,0.9,spec_numbering,KS4,OCR,12.02b,KS4,"AQA,Edexcel",S4,323,110
|
| Summary statistics,"Interpret, analyse and compare the distributions of data sets from univariate empirical",related_to,0.9,spec_numbering,KS4,OCR,12.03a,KS4,"AQA,Edexcel",S4,325,110
|
| Summary statistics,Apply statistics to describe a population,related_to,0.9,spec_numbering,KS4,OCR,12.03a,KS4,"AQA,Edexcel",S5,325,111
|
| Misrepresenting data,"Interpret, analyse and compare the distributions of data sets from univariate empirical",related_to,0.9,spec_numbering,KS4,OCR,12.03b,KS4,"AQA,Edexcel",S4,326,110
|
| Bivariate data,Use and interpret scatter graphs of bivariate data,related_to,0.9,spec_numbering,KS4,OCR,12.03c,KS4,"AQA,Edexcel",S6,327,112
|
| Outliers,"Interpret, analyse and compare the distributions of data sets from univariate empirical",related_to,0.9,spec_numbering,KS4,OCR,12.03d,KS4,"AQA,Edexcel",S4,328,110
|
| Vectors,Vectors,progresses_to,1.0,spec_numbering,KS4,AQA,3.4.3,KS5,AQA,J,93,412
|
| Vectors,Vectors,progresses_to,1.0,spec_numbering,KS4,AQA,3.4.3,KS5,OCR,1.10,93,657
|
| Vectors,Vectors,progresses_to,1.0,spec_numbering,KS4,AQA,3.4.3,KS5,Edexcel,P10,93,794
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,AQA,3.5,KS5,AQA,M,96,425
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,AQA,3.5,KS5,OCR,2.03,96,680
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,AQA,3.5,KS5,Edexcel,S3,96,808
|
| Statistics,Statistics,progresses_to,1.0,spec_numbering,KS4,AQA,3.6,KS5,Edexcel,S,106,455
|
| Statistics,Statistics,progresses_to,1.0,spec_numbering,KS4,AQA,3.6,KS5,OCR,2,106,535
|
| Vectors,Vectors,progresses_to,1.0,spec_numbering,KS4,Edexcel,4.3,KS5,AQA,J,126,412
|
| Vectors,Vectors,progresses_to,1.0,spec_numbering,KS4,Edexcel,4.3,KS5,OCR,1.10,126,657
|
| Vectors,Vectors,progresses_to,1.0,spec_numbering,KS4,Edexcel,4.3,KS5,Edexcel,P10,126,794
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,Edexcel,5,KS5,AQA,M,127,425
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,Edexcel,5,KS5,OCR,2.03,127,680
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,Edexcel,5,KS5,Edexcel,S3,127,808
|
| Statistics,Statistics,progresses_to,1.0,spec_numbering,KS4,Edexcel,6,KS5,Edexcel,S,128,455
|
| Statistics,Statistics,progresses_to,1.0,spec_numbering,KS4,Edexcel,6,KS5,OCR,2,128,535
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,OCR,11,KS5,AQA,M,305,425
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,OCR,11,KS5,OCR,2.03,305,680
|
| Probability,Probability,progresses_to,1.0,spec_numbering,KS4,OCR,11,KS5,Edexcel,S3,305,808
|
| Statistics,Statistics,progresses_to,1.0,spec_numbering,KS4,OCR,12,KS5,Edexcel,S,318,455
|
| Statistics,Statistics,progresses_to,1.0,spec_numbering,KS4,OCR,12,KS5,OCR,2,318,535
|
| Number,Number,progresses_to,1.0,spec_numbering,KS3,,,KS4,AQA,3.1,750,1
|
| Number,Number,progresses_to,1.0,spec_numbering,KS3,,,KS4,Edexcel,1,750,113
|
| Algebra,Algebra,progresses_to,1.0,spec_numbering,KS3,,,KS4,AQA,3.2,751,20
|
| Algebra,Algebra,progresses_to,1.0,spec_numbering,KS3,,,KS4,Edexcel,2,751,117
|
| Algebra,Algebra,progresses_to,1.0,spec_numbering,KS3,,,KS4,OCR,6,751,183
|
| "Ratio, proportion and rates of change","Ratio, proportion and rates of change",progresses_to,1.0,spec_numbering,KS3,,,KS4,AQA,3.3,752,50
|
| "Ratio, proportion and rates of change","Ratio, proportion and rates of change",progresses_to,1.0,spec_numbering,KS3,,,KS4,Edexcel,3,752,122
|
| "Ratio, proportion and rates of change","Ratio, Proportion and Rates Of Change",progresses_to,1.0,spec_numbering,KS3,,,KS4,OCR,5,752,172
|
| Geometry and measures,Geometry and measures,progresses_to,1.0,spec_numbering,KS3,,,KS4,AQA,3.4,753,67
|
| Geometry and measures,Geometry and measures,progresses_to,1.0,spec_numbering,KS3,,,KS4,Edexcel,4,753,123
|
| Simplify and manipulate algebraic expressions,Decompose rational functions into partial fractions (denominators not more complicated,prerequisite_of,0.81,llm_extracted,KS4,"AQA,Edexcel",A4,KS5,AQA,B10,25,359
|
| Simplify and manipulate algebraic expressions,Decompose rational functions into partial fractions (denominators not more complicated,prerequisite_of,0.81,llm_extracted,KS4,"AQA,Edexcel",A4,KS5,Edexcel,P2.10,25,467
|
| Simplify and manipulate algebraic expressions,Integrate xn and related sums,prerequisite_of,0.76,llm_extracted,KS4,"AQA,Edexcel",A4,KS5,Edexcel,P8.2,25,502
|
| Simplify and manipulate algebraic expressions,Decompose rational functions into partial fractions (denominators not more,prerequisite_of,0.81,llm_extracted,KS4,"AQA,Edexcel",A4,KS5,OCR,1.02y,25,567
|
| Solving equations and inequalities,Growth and decay,prerequisite_of,0.91,llm_extracted,KS4,AQA,3.2.3,KS4,OCR,5.03a,39,182
|
| Solving equations and inequalities,Coordinate geometry in the plane,prerequisite_of,0.91,llm_extracted,KS4,AQA,3.2.3,KS5,AQA,C,39,361
|
| Solving equations and inequalities,Solve equations using the Newton-Raphson method and other recurrence relations,prerequisite_of,0.75,llm_extracted,KS4,AQA,3.2.3,KS5,Edexcel,P9.3,39,511
|
| Solving equations and inequalities,Coordinate Geometry in the x–y Plane,prerequisite_of,0.91,llm_extracted,KS4,AQA,3.2.3,KS5,OCR,1.03,39,569
|
| Solving equations and inequalities,Straight line models in a variety of contexts,prerequisite_of,0.91,llm_extracted,KS4,AQA,3.2.3,KS5,OCR,1.03c,39,572
|
| Solve linear equations in one unknown algebraically,Interpret the algebraic solution of equations graphically,prerequisite_of,0.79,llm_extracted,KS4,"AQA,Edexcel",A17,KS5,OCR,1.02p,40,560
|
| Number Operations and Integers,Algebraic formulae,prerequisite_of,0.79,llm_extracted,KS4,OCR,1,KS4,OCR,6.02,129,192
|
| Inverse operations,"Notation, vocabulary and manipulation",prerequisite_of,0.8,llm_extracted,KS4,OCR,1.04,KS4,AQA,3.2.1,138,21
|
| Inverse operations,"Notation, vocabulary and manipulation",prerequisite_of,0.8,llm_extracted,KS4,OCR,1.04,KS4,Edexcel,2.1,138,118
|
| "Ordering fractions, decimals and percentages",Express a multiplicative relationship between two quantities as a ratio or a fraction,prerequisite_of,0.84,llm_extracted,KS4,OCR,2.04,KS4,"AQA,Edexcel",R6,153,56
|
| Ratios and fractions,Probability,prerequisite_of,0.81,llm_extracted,KS4,OCR,5.01c,KS5,AQA,M,176,425
|
| Ratios and fractions,Probability,prerequisite_of,0.81,llm_extracted,KS4,OCR,5.01c,KS5,OCR,2.03,176,680
|
| Direct proportion,Inverse proportion,prerequisite_of,0.76,llm_extracted,KS4,OCR,5.02a,KS4,OCR,5.02b,179,180
|
| Algebraic expressions,Manipulate polynomials algebraically,prerequisite_of,0.82,llm_extracted,KS4,OCR,6.01,KS5,AQA,B6,184,355
|
| Algebraic expressions,Manipulate polynomials algebraically,prerequisite_of,0.82,llm_extracted,KS4,OCR,6.01,KS5,Edexcel,P2.6,184,463
|
| Algebraic expressions,Manipulate polynomials algebraically,prerequisite_of,0.82,llm_extracted,KS4,OCR,6.01,KS5,OCR,1.02j,184,552
|
| Completing the square,Solve quadratic equations including quadratic equations in a function,prerequisite_of,1.0,llm_extracted,KS4,OCR,6.01f,KS5,OCR,1.02f,190,548
|
| Completing the square,The coordinate geometry of a circle including using,prerequisite_of,1.0,llm_extracted,KS4,OCR,6.01f,KS5,OCR,1.03d,190,573
|
| Formulate algebraic expressions,Sigma notation for sums of series,prerequisite_of,0.83,llm_extracted,KS4,OCR,6.02a,KS5,OCR,1.04g,193,585
|
| Quadratic equations,Approximate solutions by iteration,prerequisite_of,0.83,llm_extracted,KS4,OCR,6.03b,KS4,OCR,6.03e,200,203
|
| Quadratic equations,Use parametric equations in modelling in a variety of contexts,prerequisite_of,0.82,llm_extracted,KS4,OCR,6.03b,KS5,AQA,C4,200,365
|
| Quadratic equations,Use numerical methods to solve problems in context,prerequisite_of,0.83,llm_extracted,KS4,OCR,6.03b,KS5,AQA,I4,200,411
|
| Quadratic equations,Use parametric equations in modelling in a variety of contexts,prerequisite_of,0.82,llm_extracted,KS4,OCR,6.03b,KS5,Edexcel,P3.4,200,472
|
| Quadratic equations,Use numerical methods to solve problems in context,prerequisite_of,0.83,llm_extracted,KS4,OCR,6.03b,KS5,Edexcel,P9.5,200,513
|
| Quadratic equations,Parametric equations in modelling in a variety of contexts,prerequisite_of,0.82,llm_extracted,KS4,OCR,6.03b,KS5,OCR,1.03h,200,578
|
| Quadratic equations,Apply differentiation to find and classify stationary points on a curve as,prerequisite_of,0.86,llm_extracted,KS4,OCR,6.03b,KS5,OCR,1.07n,200,631
|
| Quadratic equations,Numerical methods to solve problems in context,prerequisite_of,0.83,llm_extracted,KS4,OCR,6.03b,KS5,OCR,1.09g,200,658
|
| Exponential functions,Understand and use exponential growth and decay,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01d,KS5,AQA,F7,217,390
|
| Exponential functions,Understand and use exponential growth and decay,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01d,KS5,Edexcel,P6.7,217,494
|
| Exponential functions,Know and use x ln as the inverse function of ex,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01d,KS5,OCR,1.06e,217,611
|
| Trigonometric functions,Understand and use the parametric equations of curves and conversion between Cartesian,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01e,KS5,AQA,C3,218,364
|
| Trigonometric functions,Use parametric equations in modelling in a variety of contexts,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01e,KS5,AQA,C4,218,365
|
| Trigonometric functions,Understand and use the parametric equations of curves and conversion between Cartesian,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01e,KS5,Edexcel,P3.3,218,471
|
| Trigonometric functions,Use parametric equations in modelling in a variety of contexts,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01e,KS5,Edexcel,P3.4,218,472
|
| Trigonometric functions,Parametric equations in modelling in a variety of contexts,prerequisite_of,0.75,llm_extracted,KS4,OCR,7.01e,KS5,OCR,1.03h,218,578
|
| Pythagoras’ theorem,Angle between radius and chord,prerequisite_of,1.0,llm_extracted,KS4,OCR,10.05a,KS4,OCR,8.05e,300,257
|
| Pythagoras’ theorem,Calculate the magnitude and direction of a vector and convert between component form,prerequisite_of,1.0,llm_extracted,KS4,OCR,10.05a,KS5,AQA,J2,300,414
|
| Pythagoras’ theorem,Calculate the magnitude and direction of a vector and convert between component form,prerequisite_of,1.0,llm_extracted,KS4,OCR,10.05a,KS5,Edexcel,P10.2,300,515
|
| Pythagoras’ theorem,The sine and cosine rules,prerequisite_of,0.92,llm_extracted,KS4,OCR,10.05a,KS5,OCR,1.05b,300,593
|
| Pythagoras’ theorem,Calculate the magnitude and direction of a vector and convert between,prerequisite_of,1.0,llm_extracted,KS4,OCR,10.05a,KS5,OCR,1.10c,300,661
|
| Trigonometry in right-angled triangles,"Understand and use the sine, cosine and tangent functions",prerequisite_of,0.8,llm_extracted,KS4,OCR,10.05b,KS5,AQA,E3,301,376
|
| Trigonometry in right-angled triangles,"Understand and use the sine, cosine and tangent functions",prerequisite_of,0.8,llm_extracted,KS4,OCR,10.05b,KS5,Edexcel,P5.3,301,481
|
| Trigonometry in right-angled triangles,The definitions of sine,prerequisite_of,0.79,llm_extracted,KS4,OCR,10.05b,KS5,OCR,1.05a,301,591
|
| Trigonometry in right-angled triangles,Exact values of sin,prerequisite_of,0.72,llm_extracted,KS4,OCR,10.05b,KS5,OCR,1.05g,301,597
|
| Trigonometry in right-angled triangles,Represent the contact force between two rough surfaces by two components (the,prerequisite_of,0.78,llm_extracted,KS4,OCR,10.05b,KS5,OCR,3.03s,301,738
|
| Exact trigonometric ratios,The area of a triangle in the form ab C sin 2,prerequisite_of,0.78,llm_extracted,KS4,OCR,10.05c,KS5,OCR,1.05c,302,594
|
| Work with quadratic functions and their graphs,Apply differentiation to find points of inflection on a curve,prerequisite_of,0.72,llm_extracted,KS5,AQA,B3,KS5,OCR,1.07p,352,630
|
| Work with quadratic functions and their graphs,Solve equations using the Newton-,prerequisite_of,0.72,llm_extracted,KS5,AQA,B3,KS5,OCR,1.09d,352,654
|
| Know and use the Fundamental Theorem of Calculus,Evaluate definite integrals,prerequisite_of,0.82,llm_extracted,KS5,AQA,H1,KS5,OCR,1.08d,399,641
|
| Use calculus in kinematics for motion in a straight line,Model motion under gravity in a vertical plane using vectors,prerequisite_of,0.76,llm_extracted,KS5,AQA,Q4,KS5,AQA,Q5,443,444
|
| Use calculus in kinematics for motion in a straight line,Model motion under gravity in a vertical plane using vectors,prerequisite_of,0.76,llm_extracted,KS5,AQA,Q4,KS5,Edexcel,M7.5,443,527
|
| Use calculus in kinematics for motion in a straight line,Model motion under gravity in a vertical plane using vectors,prerequisite_of,0.76,llm_extracted,KS5,AQA,Q4,KS5,OCR,3.02h,443,717
|
| Trigonometric functions to solve problems in context,Solve problems regarding the static equilibrium of a body on,prerequisite_of,0.71,llm_extracted,KS5,OCR,1.05q,KS5,OCR,3.03u,606,740
|
| Differentiate using the chain rule,Carry out simple cases of integration by substitution and integration by parts,prerequisite_of,0.94,llm_extracted,KS5,OCR,1.07r,KS5,AQA,H5,634,403
|
| Differentiate using the chain rule,Carry out simple cases of integration by substitution and integration by parts,prerequisite_of,0.94,llm_extracted,KS5,OCR,1.07r,KS5,Edexcel,P8.5,634,505
|
| Calculate and interpret measures of central tendency and variation,Understand that a sample is being used to make an inference about the population,prerequisite_of,0.81,llm_extracted,KS5,OCR,2.02f,KS5,OCR,2.05c,678,700
|
| Calculate probabilities using the binomial distribution,The language of statistical hypothesis testing,prerequisite_of,0.81,llm_extracted,KS5,OCR,2.04c,KS5,OCR,2.05a,692,698
|
| Number and Place Value,"Fractions, decimals and percentages",prerequisite_of,0.86,llm_extracted,KS2,,,KS4,AQA,3.1.2,746,12
|
| Number and Place Value,"Fractions, decimals and percentages",prerequisite_of,0.86,llm_extracted,KS2,,,KS4,Edexcel,1.2,746,115
|
| Number and Place Value,Priority of operations,prerequisite_of,0.88,llm_extracted,KS2,,,KS4,OCR,1.03a,746,137
|
| Number and Place Value,"Fractions, Decimals and Percentages",prerequisite_of,0.86,llm_extracted,KS2,,,KS4,OCR,2,746,140
|
| Number and Place Value,"Ordering fractions, decimals and percentages",prerequisite_of,0.86,llm_extracted,KS2,,,KS4,OCR,2.04,746,153
|
| "Fractions, Decimals and Percentages","Use scale factors, scale diagrams and maps",prerequisite_of,1.0,llm_extracted,KS2,,,KS4,"AQA,Edexcel",R2,747,52
|
| "Fractions, Decimals and Percentages",Upper and lower bounds,prerequisite_of,0.8,llm_extracted,KS2,,,KS4,OCR,4.01c,747,171
|
| "Fractions, Decimals and Percentages",Units and measurement,prerequisite_of,1.0,llm_extracted,KS2,,,KS4,OCR,10.01,747,281
|
| Ratio and Proportion,"Use scale factors, scale diagrams and maps",prerequisite_of,0.98,llm_extracted,KS2,,,KS4,"AQA,Edexcel",R2,748,52
|
| Ratio and Proportion,Solve problems involving direct and inverse proportion,prerequisite_of,1.0,llm_extracted,KS2,,,KS4,"AQA,Edexcel",R10,748,60
|
| Ratio and Proportion,Percentage calculations,prerequisite_of,0.82,llm_extracted,KS2,,,KS4,OCR,2.03b,748,151
|
|
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