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