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AQA GCSE 8300 Maths specification: every spec point and its video lesson

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Spec text is our short form of the board's statement. Always check the board's own specification.

SpecStatementLessonYT search phrase
A1AQA 8300Notation, vocabulary and manipulationWhat Algebraic Notation MeansScholaFly MA09-01
A2AQA 8300Substitute numerical values into formulae and expressions, including scientific formulaeSubstituting Values into Expressions and FormulaeScholaFly MA09-03
A3AQA 8300Understand and use the concepts and vocabulary of expressions, equations, formulae, inequalities, terms and factorsAlgebra Vocabulary: Expressions, Equations, Formulae, Identities and InequalitiesScholaFly MA09-02
A4AQA 8300Notation, vocabulary and manipulationCollecting Like TermsScholaFly MA09-04
Laws of Indices for Algebraic TermsScholaFly MA09-05
Expanding a Single BracketScholaFly MA10-01
Expanding Double BracketsScholaFly MA10-02
Expanding Three or More BracketsScholaFly MA10-03
Factorising by Taking Out a Common FactorScholaFly MA10-04
Factorising a Quadratic x^2+bx+c, Including Difference of Two SquaresScholaFly MA10-05
Factorising a General Quadratic ax^2+bx+cScholaFly MA10-06
Simplifying and Manipulating Algebraic FractionsScholaFly MA10-08
A5AQA 8300Understand and use standard mathematical formulaeUsing and Rearranging a Formula (Subject Appears Once)ScholaFly MA11-03
A6AQA 8300Know the difference between an equation and an identityEquations, Identities and Equivalent ExpressionsScholaFly MA10-09
Constructing Algebraic ProofsScholaFly MA10-10
A7AQA 8300Where appropriate, interpret simple expressions as functions with inputs and outputsFunction Machines: Inputs, Outputs and ReversingScholaFly MA14-01
Inverse and Composite FunctionsScholaFly MA14-02
A8AQA 8300Work with coordinates in all four quadrantsCoordinates in Four QuadrantsScholaFly MA15-01
A9AQA 8300Plot graphs of equations that correspond to straight-line graphs in the coordinate planePlotting Straight-Line GraphsScholaFly MA15-03
Finding the Equation of a Straight LineScholaFly MA15-06
Equations of Parallel LinesScholaFly MA15-07
Equations of Perpendicular LinesScholaFly MA15-08
A10AQA 8300Identify and interpret gradients and intercepts of linear functions graphically and algebraicallyGradient and Y-Intercept via y=mx+cScholaFly MA15-05
A11AQA 8300Identify and interpret roots, intercepts and turning points of quadratic functions graphicallyRoots, Y-Intercept and Turning Point of a Quadratic GraphScholaFly MA16-02
Turning Point by Completing the SquareScholaFly MA16-03
A12AQA 8300Recognise, sketch and interpret graphs of linear functions and quadratic functionsRecognising Linear and Quadratic GraphsScholaFly MA16-01
Cubic and Reciprocal GraphsScholaFly MA16-04
Exponential GraphsScholaFly MA16-05
Trigonometric Graphs: sin, cos and tanScholaFly MA16-06
A13AQA 8300Sketch translations and reflections of a given functionTranslating a Graph: Vocabulary and y=f(x)+a, y=f(x+a)ScholaFly MA16-08
Stretching and Reflecting a Graph: y=af(x), y=f(ax)ScholaFly MA16-09
A14AQA 8300Plot and interpret graphs, and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and accelerationPlotting and Interpreting Real-World GraphsScholaFly MA17-01
Interpreting Non-Standard and Exponential Real-World GraphsScholaFly MA17-02
A15AQA 8300Calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non-linear graphs), and interpret results in cases such as distance-time graphs, velocity-time graphs and graphs in financial contextsEstimating the Gradient of a CurveScholaFly MA17-03
Estimating the Area Under a GraphScholaFly MA17-04
A16AQA 8300Recognise and use the equation of a circle with centre at the originRecognising the Equation of a CircleScholaFly MA16-11
Finding the Equation of a Tangent to a CircleScholaFly MA16-12
A17AQA 8300Solve linear equations in one unknown algebraicallySolving Linear Equations by BalancingScholaFly MA11-01
Solving Linear Equations with BracketsScholaFly MA11-02
A18AQA 8300Solve quadratic equations algebraically by factorisingSolving x^2+bx+c=0 by FactorisingScholaFly MA12-01
Rearranging and Factorising a General Quadratic EquationScholaFly MA12-02
Solving a Quadratic with the Quadratic FormulaScholaFly MA12-03
A19AQA 8300Solve two simultaneous equations in two variables (linear/linear) algebraicallySolving Simultaneous Linear Equations by EliminationScholaFly MA12-04
Simultaneous Equations: One Linear, One QuadraticScholaFly MA12-05
A20AQA 8300Find approximate solutions to equations numerically using iterationSolving Equations by IterationScholaFly MA12-07
A21AQA 8300Translate simple situations or procedures into algebraic expressions or formulaeWriting an Expression or Formula from a ContextScholaFly MA11-05
Setting Up and Solving an Equation from a ContextScholaFly MA11-06
A22AQA 8300Solve linear inequalities in one variableInequality Symbols and Number-Line ConventionsScholaFly MA18-01
Solving a Linear InequalityScholaFly MA18-02
Solving a Quadratic InequalityScholaFly MA18-03
Regions Satisfying Linear Inequalities in Two VariablesScholaFly MA18-04
A23AQA 8300Generate terms of a sequence from either a term-to-term or a position-to-term ruleGenerating Terms of a SequenceScholaFly MA13-01
Recognising Special SequencesScholaFly MA13-02
A24AQA 8300Recognise and use sequences of triangular, square and cube numbers and simple arithmetic progressionsRecognising Special SequencesScholaFly MA13-02
Sequences with a Surd Common RatioScholaFly MA13-03
A25AQA 8300Deduce expressions to calculate the nth term of linear sequencesFinding the nth Term of a Linear SequenceScholaFly MA13-04
Finding the nth Term of a Quadratic SequenceScholaFly MA13-05
G1AQA 8300Use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetriesGeometry notation and types of angleScholaFly MA25-01
G2AQA 8300Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle)Constructing the perpendicular bisector of a line segmentScholaFly MA24-01
Constructing the bisector of an angleScholaFly MA24-02
Constructing a perpendicular to a line from or at a pointScholaFly MA24-03
Solving loci problems with a single conditionScholaFly MA24-04
Solving loci problems with combined conditionsScholaFly MA24-05
G3AQA 8300Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite anglesAngles at a point, on a line and vertically opposite anglesScholaFly MA25-02
Angles on parallel linesScholaFly MA25-03
Angle sum of a triangle and the exterior angle ruleScholaFly MA25-05
Interior angles of polygonsScholaFly MA25-06
Exterior angles and regular polygonsScholaFly MA25-07
G4AQA 8300Derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombusNaming triangles, quadrilaterals and polygonsScholaFly MA26-01
Properties of special quadrilaterals and trianglesScholaFly MA26-02
G5AQA 8300Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)Congruent triangles: SSS, SAS, ASA and RHSScholaFly MA26-03
G6AQA 8300Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofsProving results using congruent triangles and angle factsScholaFly MA26-07
Proving results using similarity and PythagorasScholaFly MA26-08
Pythagoras' theorem in two dimensionsScholaFly MA30-01
G7AQA 8300Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargementReflecting a shape in a mirror lineScholaFly MA28-01
Finding the mirror line from a shape and its imageScholaFly MA28-02
Rotating a shape and describing a rotationScholaFly MA28-03
Translating a shape using a column vectorScholaFly MA28-04
Enlarging a shape by a positive or fractional scale factorScholaFly MA28-05
Enlarging a shape by a negative scale factor (Higher)ScholaFly MA28-06
G8AQA 8300Describe the changes and invariance achieved by combinations of rotations, reflections and translationsDescribing combined transformations and invariance (Higher)ScholaFly MA28-07
G9AQA 8300Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumferenceCircle vocabularyScholaFly MA27-01
G10AQA 8300Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related resultsCircle theorem: angle at the centreScholaFly MA27-02
Circle theorem: angle in a semicircleScholaFly MA27-03
Circle theorem: angles in the same segmentScholaFly MA27-04
Circle theorem: cyclic quadrilateralsScholaFly MA27-05
Circle theorem: tangent and radiusScholaFly MA27-06
Circle theorem: alternate segment theoremScholaFly MA27-07
Circle theorem: tangents from an external pointScholaFly MA27-08
Circle theorems: chords and the centreScholaFly MA27-09
G11AQA 8300Solve geometrical problems on coordinate axesSolving geometry problems on coordinate axesScholaFly MA28-09
G12AQA 8300Identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheresNaming 3D solids and their propertiesScholaFly MA29-01
G13AQA 8300Interpret plans and elevations of 3D shapesInterpreting plans and elevationsScholaFly MA29-02
Constructing plans and elevationsScholaFly MA29-03
G14AQA 8300Use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money etc.)Convert between standard and compound unitsScholaFly MA22-01
G15AQA 8300Measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearingsThree-figure bearingsScholaFly MA24-08
G16AQA 8300Know and apply formulae to calculate: area of triangles, parallelograms, trapezia;Area of triangles, parallelograms and trapeziaScholaFly MA23-02
Volume of prisms, cuboids and cylindersScholaFly MA29-05
G17AQA 8300Know the formulae: circumference of a circle = 2πr = πdPerimeter of 2D and composite shapesScholaFly MA23-01
Circle circumference and areaScholaFly MA23-03
Surface area and volume of a sphere and cone (Higher)ScholaFly MA29-06
Composite solids: breaking a shape into partsScholaFly MA29-08
G18AQA 8300Calculate arc lengths, angles and areas of sectors of circlesArc length and sector area, including major sectorsScholaFly MA23-04
G19AQA 8300Apply the concepts of congruence and similarity, including the relationships between lengths in similar figuresArea ratio of similar shapesScholaFly MA26-05
Volume ratio of similar shapes (Higher)ScholaFly MA26-06
Similar shapes: persisting the relationship across a questionScholaFly MA26-12
G20AQA 8300Know the formulae for: Pythagoras’ theorem, a² + b² = c² and the trigonometric ratios, sinθ = opposite/hypotenuse, cosθ = adjacent/hypotenuse and tanθ = opposite/adjacentPythagoras' theorem in two dimensionsScholaFly MA30-01
Trigonometric ratios: labelling sides and choosing sin, cos or tanScholaFly MA30-02
Using trigonometry to find missing sides and anglesScholaFly MA30-03
Pythagoras' theorem in three dimensionsScholaFly MA30-08
Trigonometry in 3D and complex figuresScholaFly MA30-11
G21AQA 8300Know the exact values of sinθ and cosθ for θ = 0°, 30°, 45°, 60° and 90°Trigonometric ratios: labelling sides and choosing sin, cos or tanScholaFly MA30-02
G22AQA 8300Know and apply the sine rule, a/sinA = b/sinB = c/sinC and cosine rule, a² = b² + c² - 2bc cosA to find unknown lengths and anglesThe sine rule and the area of a triangleScholaFly MA30-05
The cosine ruleScholaFly MA30-07
G23AQA 8300Know and apply Area = ½ ab sinC to calculate the area, sides or angles of any triangleThe sine rule and the area of a triangleScholaFly MA30-05
G24AQA 8300Describe translations as 2D vectorsTranslating a shape using a column vectorScholaFly MA28-04
G25AQA 8300Apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectorsVector arithmetic: addition, subtraction and scalar multiplicationScholaFly MA28-10
Using vectors to prove geometric results (Higher)ScholaFly MA28-12
N1AQA 8300Order positive and negative integers, decimals and fractionsOrdering positive and negative numbers using inequality symbolsScholaFly MA01-01
N2AQA 8300Apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers – all both positive and negativePlace value and decimal notationScholaFly MA01-02
Adding, subtracting, multiplying and dividing positive and negative integersScholaFly MA01-03
Adding, subtracting, multiplying and dividing decimalsScholaFly MA01-04
Adding and subtracting fractions and mixed numbersScholaFly MA04-04
Multiplying and dividing fractions and mixed numbersScholaFly MA04-05
N3AQA 8300Recognise and use relationships between operations, including inverse operations (eg cancellation to simplify calculations and expressions)Order of operations: brackets, powers, roots and BIDMASScholaFly MA01-05
Inverse operationsScholaFly MA01-06
N4AQA 8300Use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theoremTypes of number and prime factorisationScholaFly MA02-01
Highest common factor (HCF)ScholaFly MA02-02
Lowest common multiple (LCM)ScholaFly MA02-03
N5AQA 8300Apply systematic listing strategiesSystematic listing strategiesScholaFly MA02-04
The product rule for counting (Higher)ScholaFly MA02-05
N6AQA 8300Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5Square numbers, cube numbers and calculating themScholaFly MA03-01
Square roots, cube roots and higher rootsScholaFly MA03-02
N7AQA 8300Calculate with roots, and with integer indicesIndex laws: multiplying and dividing powersScholaFly MA03-03
Power of a power, and zero and negative indicesScholaFly MA03-04
Fractional indices (Higher)ScholaFly MA03-05
N8AQA 8300Calculate exactly with fractionsCalculating exactly with fractionsScholaFly MA05-01
Calculating exactly with multiples of piScholaFly MA05-02
Simplifying surds (Higher)ScholaFly MA05-03
Rationalising the denominator (Higher)ScholaFly MA05-04
N9AQA 8300Calculate with and interpret standard form A × 10ⁿ, where 1 ≤ A < 10 and n is an integerConverting to and from standard formScholaFly MA03-06
Calculating with numbers in standard formScholaFly MA03-07
N10AQA 8300Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8)Converting recurring decimals into fractions (Higher)ScholaFly MA04-08
Convert between fractions and terminating decimals, and order themScholaFly MA19-01
N11AQA 8300Identify and work with fractions in ratio problemsRatio notation, simplifying and unitary formScholaFly MA20-01
N12AQA 8300Interpret fractions and percentages as operatorsFind a percentage of a quantityScholaFly MA19-02
N13AQA 8300Use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriateConvert between standard and compound unitsScholaFly MA22-01
Density: mass, volume and the direction of divisionScholaFly MA22-03
Pressure: force, area and recognising when to use itScholaFly MA22-04
N14AQA 8300Estimate answersEstimating a calculation by roundingScholaFly MA07-02
N15AQA 8300Round numbers and measures to an appropriate degree of accuracy (eg to a specified number of decimal places or significant figures)Rounding to significant figures and decimal placesScholaFly MA07-01
Error intervals from rounding and truncationScholaFly MA07-05
N16AQA 8300Apply and interpret limits of accuracyBounds of a calculated result (Higher)ScholaFly MA07-04
Limits of accuracy: upper and lower boundsScholaFly MA07-06
P1AQA 8300Record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency treesFrequency tables and frequency treesScholaFly MA34-02
P2AQA 8300Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experimentsExpected frequency: probability times number of trialsScholaFly MA34-05
P3AQA 8300Relate relative expected frequencies to theoretical probability, using appropriate language and the 0 to 1 probability scaleProbability scale, vocabulary and simple probabilityScholaFly MA34-01
Sample size, reliability and theoretical probability languageScholaFly MA34-04
P4AQA 8300Apply the property that the probabilities of an exhaustive set of outcomes sum to 1The complement rule: P(not A) = 1 - P(A)ScholaFly MA35-01
Mutually exclusive events: the addition ruleScholaFly MA35-02
P5AQA 8300Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample sizeSample size, reliability and theoretical probability languageScholaFly MA34-04
P6AQA 8300Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagramsVenn diagrams: universal set, empty set and complementScholaFly MA06-02
Reading Venn diagrams and n(...) notationScholaFly MA35-04
Constructing tree diagramsScholaFly MA36-01
Combining probabilities on a tree diagramScholaFly MA36-02
P7AQA 8300Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilitiesConstructing sample space diagramsScholaFly MA35-03
P8AQA 8300Calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptionsCombined events: independent and dependent probabilitiesScholaFly MA36-03
P9AQA 8300Calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagramsConditional probability using diagramsScholaFly MA36-04
R1AQA 8300Change freely between related standard units (eg time, length, area, volume/capacity, mass) and compound units (eg speed, rates of pay, prices) in numerical contextsConvert between standard and compound unitsScholaFly MA22-01
R2AQA 8300Use scale factors, scale diagrams and mapsScale drawings and mapsScholaFly MA24-09
R3AQA 8300Express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1Fraction of a quantity; expressing a number as a fraction of anotherScholaFly MA04-06
R4AQA 8300Use ratio notation, including reduction to simplest formRatio notation, simplifying and unitary formScholaFly MA20-01
R5AQA 8300Divide a given quantity into two parts in a given part : part or part : whole ratioShare an amount in a given ratioScholaFly MA20-02
Share in a ratio when only a difference or one part is knownScholaFly MA20-03
R6AQA 8300Express a multiplicative relationship between two quantities as a ratio or a fractionExpress a multiplicative relationship as a ratioScholaFly MA20-04
R7AQA 8300Understand and use proportion as equality of ratiosSolve direct proportion problemsScholaFly MA21-01
R8AQA 8300Relate ratios to fractions and to linear functionsSolve direct proportion problemsScholaFly MA21-01
R9AQA 8300Define percentage as ‘number of parts per hundred’Find a percentage of a quantityScholaFly MA19-02
Calculate a percentage increase or decreaseScholaFly MA19-03
Calculate a percentage change between two valuesScholaFly MA19-04
Reverse percentages: find the original valueScholaFly MA19-05
Simple interestScholaFly MA19-06
R10AQA 8300Solve problems involving direct and inverse proportion, including graphical and algebraic representationsSolve direct proportion problemsScholaFly MA21-01
Solve inverse proportion problemsScholaFly MA21-03
R11AQA 8300Use compound units such as speed, rates of pay, unit pricingCompare rates: speed, pay and unit pricingScholaFly MA22-02
Density: mass, volume and the direction of divisionScholaFly MA22-03
Pressure: force, area and recognising when to use itScholaFly MA22-04
R12AQA 8300Compare lengths, areas and volumes using ratio notationArea ratio of similar shapesScholaFly MA26-05
Volume ratio of similar shapes (Higher)ScholaFly MA26-06
Similar shapes: persisting the relationship across a questionScholaFly MA26-12
R13AQA 8300Understand that X is inversely proportional to Y is equivalent to X is proportional to 1/YRecognise and interpret inverse proportionScholaFly MA21-02
Construct direct and inverse proportion equations, including powers and rootsScholaFly MA21-04
R14AQA 8300Interpret the gradient of a straight-line graph as a rate of changeGraphs of Direct and Inverse ProportionScholaFly MA16-10
Gradient of a straight line as a rate of changeScholaFly MA21-06
R15AQA 8300Interpret the gradient at a point on a curve as the instantaneous rate of changeInstantaneous rate of change: the gradient of a tangentScholaFly MA21-07
Estimate the area under a curve using trapeziaScholaFly MA21-08
R16AQA 8300Set up, solve and interpret the answers in growth and decay problems, including compound interestGrowth and decay using repeated percentage multipliersScholaFly MA19-07
S1AQA 8300Infer properties of populations or distributions from a sample, whilst knowing the limitations of samplingSampling methods, bias and questionnaire designScholaFly MA31-01
S2AQA 8300Interpret and construct tables, charts and diagrams, including frequency tables, bar charts, pie charts and pictograms for categorical data, vertical line charts for ungrouped discrete numerical data, and know their appropriate useBar charts, pictograms and vertical line chartsScholaFly MA31-04
Pie charts: calculating angles and constructingScholaFly MA31-05
Time series graphs and trendsScholaFly MA31-06
S3AQA 8300Construct and interpret diagrams for grouped discrete data and continuous data, ie histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate useConstructing histograms with frequency densityScholaFly MA33-01
Reading and calculating from histogramsScholaFly MA33-02
Constructing a cumulative frequency diagramScholaFly MA33-03
Reading estimates from a cumulative frequency diagramScholaFly MA33-04
S4AQA 8300• including box plotsMean, median, mode and rangeScholaFly MA32-01
Finding the modal classScholaFly MA32-02
Quartiles and interquartile rangeScholaFly MA32-04
Constructing and reading box plotsScholaFly MA32-05
Comparing distributions with box plotsScholaFly MA32-06
OutliersScholaFly MA32-07
S5AQA 8300Apply statistics to describe a populationComparing distributions with box plotsScholaFly MA32-06
S6AQA 8300Use and interpret scatter graphs of bivariate dataScatter graphs and types of correlationScholaFly MA32-09
Line of best fit, correlation vs causation, and predictionScholaFly MA32-10