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; use a definite integral to find the area under a curve,Integration,part_of,1.0,spec_numbering,KS5,AQA,H3,KS5,AQA,H,401,398
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; use a definite integral to find the area under a curve,Integration,part_of,1.0,spec_numbering,KS5,Edexcel,P8.3,KS5,Edexcel,P8,503,801
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