AQA · GCSE
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Start with the first Mathematics lesson.
Ordering Integers and Decimals
1Ordering Integers and DecimalsRead next2Using Symbols for ComparisonsRead next3Four Operations with IntegersRead next4Four Operations with DecimalsRead next5Four Operations with FractionsRead next6Understanding Place ValueRead next7Relationships Between OperationsRead next8Inverse Operations in CalculationsRead next9Priority of Operations (BIDMAS)Read next10Prime Numbers and Their PropertiesRead next11Factors and MultiplesRead next12Highest Common Factor (HCF)Read next13Lowest Common Multiple (LCM)Read next14Prime FactorisationRead next15Systematic Listing StrategiesRead next16Product Rule for CountingRead next17Positive Integer PowersRead next18Real Roots of NumbersRead next19Estimating Powers and RootsRead next20Calculations with RootsRead next21Calculations with Integer IndicesRead next22Calculations with Fractional IndicesRead next23Exact Calculations with FractionsRead next24Exact Calculations with SurdsRead next25Simplifying Surd ExpressionsRead next26Rationalising DenominatorsRead next27Calculations in Standard FormRead next28Interpreting Calculator Displays in Standard FormRead next29Terminating Decimals and Corresponding FractionsRead next30Recurring Decimals to FractionsRead next31Fractions in Ratio ProblemsRead next32Fractions and Percentages as OperatorsRead next33Using Standard Units of MeasureRead next34Metric Conversion FactorsRead next35Estimating Answers in CalculationsRead next36Using Approximation to Check CalculationsRead next37Rounding to Decimal PlacesRead next38Rounding to Significant FiguresRead next39Error Intervals Using Inequality NotationRead next40Limits of AccuracyRead next41Upper and Lower Bounds in CalculationsRead next
Using Algebraic Notation
1Using Algebraic NotationRead next2Simplifying Algebraic ExpressionsRead next3Substituting Values into ExpressionsRead next4Understanding Expressions and EquationsRead next5Understanding Formulae and IdentitiesRead next6Expanding Single BracketsRead next7Expanding Double BracketsRead next8Factorising Linear ExpressionsRead next9Factorising Quadratic ExpressionsRead next10Simplifying Algebraic FractionsRead next11Using the Laws of IndicesRead next12Rearranging FormulaeRead next13Understanding Functions and Inverse FunctionsRead next14Composite FunctionsRead next15Plotting Linear GraphsRead next16Understanding y = mx + cRead next17Identifying Parallel and Perpendicular LinesRead next18Finding the Equation of a LineRead next19Sketching Quadratic GraphsRead next20Identifying Roots and Turning PointsRead next21Completing the SquareRead next22Sketching Cubic and Reciprocal GraphsRead next23Sketching Exponential GraphsRead next24Transforming Graphs of FunctionsRead next25Using Graphs to Solve EquationsRead next26Solving Linear EquationsRead next27Solving Quadratic Equations by FactorisationRead next28Solving Quadratic Equations with the FormulaRead next29Solving Quadratic Equations by Completing the SquareRead next30Solving Simultaneous Linear EquationsRead next31Solving Linear and Quadratic Simultaneous EquationsRead next32Solving Inequalities on a Number LineRead next33Solving Quadratic InequalitiesRead next34Representing Inequalities on GraphsRead next35Generating Terms of a SequenceRead next36Finding the nth Term of Linear SequencesRead next37Finding the nth Term of Quadratic SequencesRead next38Recognising Special SequencesRead next39Working with Fibonacci-Type SequencesRead next40Understanding Arithmetic ProgressionsRead next41Understanding Geometric ProgressionsRead next42Using Iterative Methods to Solve EquationsRead next43Interpreting Distance-Time GraphsRead next44Interpreting Velocity-Time GraphsRead next45Calculating Gradients of GraphsRead next46Calculating Areas Under GraphsRead next47Understanding the Equation of a CircleRead next48Finding Tangents to CirclesRead next
Converting Between Units of Measure
1Converting Between Units of MeasureRead next2Using Compound Units: SpeedRead next3Using Compound Units: Rates of PayRead next4Using Compound Units: Unit PricingRead next5Using Compound Units: DensityRead next6Using Compound Units: PressureRead next7Understanding Scale FactorsRead next8Using Scale Diagrams and MapsRead next9Expressing One Quantity as a Fraction of AnotherRead next10Understanding and Simplifying RatiosRead next11Dividing Quantities in a Given RatioRead next12Applying Ratios to Real-Life ContextsRead next13Comparing Values Using RatiosRead next14Understanding Proportion as Equality of RatiosRead next15Relating Ratios to FractionsRead next16Relating Ratios to Linear FunctionsRead next17Defining and Understanding PercentagesRead next18Converting Between Percentages, Fractions, and DecimalsRead next19Calculating Percentage Increases and DecreasesRead next20Solving Original Value Problems with PercentagesRead next21Working with Percentages Greater Than 100%Read next22Understanding and Solving Simple Interest ProblemsRead next23Solving Direct Proportion ProblemsRead next24Solving Inverse Proportion ProblemsRead next25Graphical Representation of Direct ProportionRead next26Graphical Representation of Inverse ProportionRead next27Using Compound Measures in ComparisonsRead next28Comparing Lengths Using Ratio NotationRead next29Comparing Areas Using Ratio NotationRead next30Comparing Volumes Using Ratio NotationRead next31Understanding and Interpreting Direct Proportion EquationsRead next32Understanding and Interpreting Inverse Proportion EquationsRead next33Constructing Equations for Direct ProportionRead next34Constructing Equations for Inverse ProportionRead next35Interpreting Gradients as Rates of ChangeRead next36Recognising Graphs of Direct ProportionRead next37Recognising Graphs of Inverse ProportionRead next38Understanding Instantaneous Rate of ChangeRead next39Calculating Average Rate of ChangeRead next40Applying Gradients of Chords and TangentsRead next41Using Rates of Change in Numerical ContextsRead next42Using Rates of Change in Algebraic ContextsRead next43Using Rates of Change in Graphical ContextsRead next44Understanding Growth and Decay ProblemsRead next45Calculating Compound InterestRead next46Solving Iterative Growth and Decay ProblemsRead next47Setting Up Growth and Decay EquationsRead next48Interpreting Solutions to Growth and Decay ProblemsRead next
Points, Lines, and Planes
1Points, Lines, and PlanesRead next2Parallel and Perpendicular LinesRead next3Polygons and Their PropertiesRead next4Regular Polygons and SymmetryRead next5Drawing Diagrams from DescriptionsRead next6Basic Ruler and Compass ConstructionsRead next7Constructing Perpendicular BisectorsRead next8Constructing Perpendicular LinesRead next9Bisecting Angles with CompassRead next10Solving Loci ProblemsRead next11Angles at a Point and on a LineRead next12Vertically Opposite AnglesRead next13Alternate and Corresponding AnglesRead next14Angle Sum in Triangles and PolygonsRead next15Properties of Special QuadrilateralsRead next16Types of Triangles and Their PropertiesRead next17Congruence Criteria for TrianglesRead next18Triangle Congruence and Simple ProofsRead next19Base Angles of Isosceles TrianglesRead next20Identifying Congruent ShapesRead next21Identifying Similar ShapesRead next22Transformations: Rotation, Reflection, TranslationRead next23Enlargement with Fractional Scale FactorsRead next24Enlargement with Negative Scale FactorsRead next25Combining TransformationsRead next26Circle Definitions and PropertiesRead next27Tangents and Chords in CirclesRead next28Angle Subtended by ArcsRead next29Angles in a SemicircleRead next30Angles in the Same SegmentRead next31Cyclic QuadrilateralsRead next32Tangents and Radius PerpendicularityRead next33Tangents from External PointsRead next34Perpendicular Bisector of a ChordRead next35Alternate Segment TheoremRead next36Geometric Problems on Coordinate AxesRead next37Properties of 3D ShapesRead next38Plans and Elevations of 3D ShapesRead next39Constructing Plans and ElevationsRead next40Standard Units of MeasureRead next41Measuring Line Segments and AnglesRead next42Interpreting Maps and BearingsRead next43Area of Triangles and ParallelogramsRead next44Area of TrapeziaRead next45Volume of Cuboids and PrismsRead next46Circumference of a CircleRead next47Area of a CircleRead next48Perimeters of 2D ShapesRead next49Surface Area of Spheres and ConesRead next50Volume of Spheres and ConesRead next51Frustums and Composite SolidsRead next52Arc Lengths and Areas of SectorsRead next53Congruence Relationships in Similar FiguresRead next54Similarity Relationships in LengthsRead next55Similarity Relationships in Areas and VolumesRead next56Pythagoras’ Theorem in 2D FiguresRead next57Pythagoras’ Theorem in 3D FiguresRead next58Trigonometric Ratios in Right-Angled TrianglesRead next59Trigonometric Ratios in General TrianglesRead next60Exact Values of Trigonometric RatiosRead next61The Sine RuleRead next62The Cosine RuleRead next63Area of Triangles Using SineRead next64Describing Translations as VectorsRead next65Adding and Subtracting VectorsRead next66Multiplying Vectors by ScalarsRead next67Geometric Proofs Using VectorsRead next
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Recording Outcomes of Experiments
1Recording Outcomes of ExperimentsRead next2Using Frequency TablesRead next3Using Frequency TreesRead next4Randomness and Fairness in ProbabilityRead next5Equally Likely EventsRead next6Expected Outcomes of ExperimentsRead next7Relative Frequency vs Theoretical ProbabilityRead next8Probability Scale from 0 to 1Read next9Exhaustive Outcomes Summing to 1Read next10Mutually Exclusive Events Summing to 1Read next11Empirical Samples and Theoretical DistributionsRead next12Enumerating Sets SystematicallyRead next13Using Tables to Enumerate SetsRead next14Using Grids to Enumerate SetsRead next15Using Venn Diagrams to Enumerate SetsRead next16Using Tree Diagrams to Enumerate SetsRead next17Constructing Possibility Spaces for Single ExperimentsRead next18Constructing Possibility Spaces for Combined ExperimentsRead next19Calculating Theoretical Probabilities from Possibility SpacesRead next20Independent Combined EventsRead next21Dependent Combined EventsRead next22Tree Diagrams for Combined EventsRead next23Adding Probabilities for Combined EventsRead next24Multiplying Probabilities for Combined EventsRead next25Conditional Probability BasicsRead next26Expected Frequencies in Two-Way TablesRead next27Tree Diagrams for Conditional ProbabilityRead next28Venn Diagrams for Conditional ProbabilityRead next29Common Mistakes in Probability CalculationsRead next30Interpreting Real-Life Probability ScenariosRead next
What is Sampling?
1What is Sampling?Read next2Limitations of SamplingRead next3Primary vs Secondary DataRead next4Discrete vs Continuous DataRead next5Frequency Tables for Categorical DataRead next6Bar Charts for Categorical DataRead next7Pie Charts for Categorical DataRead next8Pictograms for Categorical DataRead next9Vertical Line Charts for Ungrouped DataRead next10Tables for Time Series DataRead next11Line Graphs for Time Series DataRead next12Grouped Data Frequency TablesRead next13Histograms with Equal Class IntervalsRead next14Histograms with Unequal Class IntervalsRead next15Cumulative Frequency GraphsRead next16Box Plots and Their UsesRead next17Mean as a Measure of Central TendencyRead next18Median as a Measure of Central TendencyRead next19Mode and Modal ClassRead next20Range as a Measure of SpreadRead next21Outliers in Data SetsRead next22Quartiles and Interquartile RangeRead next23Describing Populations Using StatisticsRead next24Scatter Graphs for Bivariate DataRead next25Understanding Correlation TypesRead next26Correlation vs CausationRead next27Drawing Lines of Best FitRead next28Interpolating Trends in DataRead next29Extrapolating Trends in DataRead next30Dangers of ExtrapolationRead next31Positive, Negative, and No CorrelationRead next32Weak vs Strong CorrelationRead next