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A-LEVEL Mathematics
3 Subject content
3.1 I: Numerical methods
3.1.1 OT1: Mathematical argument language and proof
3.1.1.OT1.1 Construct and present mathematical arguments
3.1.1.OT1.2 Mathematical language and syntax
3.1.1.OT1.5 Mathematical arguments and proofs
3.1.2 OT2: Mathematical problem solving
3.1.2.OT2.1 Problem structure recognition
3.1.2.OT2.2 Extended problem solving
3.1.2.OT2.3 Solution interpretation
3.1.2.OT2.6 Problem solving cycle
3.1.2.OT2.7 Mathematical diagrams
3.1.3 OT3: Mathematical modelling
3.1.3.OT3.1 Model creation
3.1.3.OT3.2 Model exploration
3.1.3.OT3.3 Model interpretation
3.1.3.OT3.5 Modelling assumptions
3.3 B: Algebra and functions
3.3.B10 Partial fractions
3.3.B3 Quadratic functions
3.3.B5 Inequalities
3.3.B7 Function graphs
3.3.B9 Transformations
3.4 C: Coordinate geometry in the (x y) plane
3.4.C1 Straight lines
3.4.C2 Circle geometry
3.4.C3 Parametric equations
3.5 D: Sequences and series
3.5.D1 Binomial expansion
3.5.D4 Arithmetic sequences
3.5.D5 Geometric sequences
3.6 E: Trigonometry
3.6.1 Basic trigonometry
3.6.9 Trigonometry in context
3.7 F: Exponentials and logarithms
3.7.F1 Exponential functions
3.7.F2 Exponential growth
3.7.F3 Natural logarithm
3.7.F5 Exponential equations
3.8 G: Differentiation
3.8.G1 Basic differentiation
3.10.I3 Numerical integration
3.10.I4 Application of numerical methods
3.11 J: Vectors
3.11.J1 2D and 3D vectors
3.11.J4 Position vectors
3.13 L: Data presentation and interpretation
3.13.L1 Diagrams for single-variable data
3.13.L2 Correlation
3.13.L3 Measures of central tendency
3.14 M: Probability
3.14.M1 Probability concepts
3.14.M2 Conditional probability
3.14.M3 Probability modelling
3.15 N: Statistical distributions
3.15.N1 Discrete probability
3.15.N2 Normal distribution
3.17 P: Quantities and units in mechanics
3.17.P1 SI units
AO1 Use and apply standard techniques
AO2 Reason interpret and communicate mathematically
A-LEVEL Exam
A-LEVEL Mathematics
A-LEVEL Mathematics
3 Subject content
3.1 I: Numerical methods
3.1.1 OT1: Mathematical argument language and proof
3.1.1.OT1.1 Construct and present mathematical arguments
3.1.1.OT1.2 Mathematical language and syntax
3.1.1.OT1.5 Mathematical arguments and proofs
3.1.2 OT2: Mathematical problem solving
3.1.2.OT2.1 Problem structure recognition
3.1.2.OT2.2 Extended problem solving
3.1.2.OT2.3 Solution interpretation
3.1.2.OT2.6 Problem solving cycle
3.1.2.OT2.7 Mathematical diagrams
3.1.3 OT3: Mathematical modelling
3.1.3.OT3.1 Model creation
3.1.3.OT3.2 Model exploration
3.1.3.OT3.3 Model interpretation
3.1.3.OT3.5 Modelling assumptions
3.3 B: Algebra and functions
3.3.B10 Partial fractions
3.3.B3 Quadratic functions
3.3.B5 Inequalities
3.3.B7 Function graphs
3.3.B9 Transformations
3.4 C: Coordinate geometry in the (x y) plane
3.4.C1 Straight lines
3.4.C2 Circle geometry
3.4.C3 Parametric equations
3.5 D: Sequences and series
3.5.D1 Binomial expansion
3.5.D4 Arithmetic sequences
3.5.D5 Geometric sequences
3.6 E: Trigonometry
3.6.1 Basic trigonometry
3.6.9 Trigonometry in context
3.7 F: Exponentials and logarithms
3.7.F1 Exponential functions
3.7.F2 Exponential growth
3.7.F3 Natural logarithm
3.7.F5 Exponential equations
3.8 G: Differentiation
3.8.G1 Basic differentiation
3.10.I3 Numerical integration
3.10.I4 Application of numerical methods
3.11 J: Vectors
3.11.J1 2D and 3D vectors
3.11.J4 Position vectors
3.13 L: Data presentation and interpretation
3.13.L1 Diagrams for single-variable data
3.13.L2 Correlation
3.13.L3 Measures of central tendency
3.14 M: Probability
3.14.M1 Probability concepts
3.14.M2 Conditional probability
3.14.M3 Probability modelling
3.15 N: Statistical distributions
3.15.N1 Discrete probability
3.15.N2 Normal distribution
3.17 P: Quantities and units in mechanics
3.17.P1 SI units
AO1 Use and apply standard techniques
AO2 Reason interpret and communicate mathematically
3.17.P1 SI units
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