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基準
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
基準
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
3.1.1.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.OT2.1 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.OT3.1 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.B10 Partial fractions
3.3.B3 Quadratic functions
3.3.B5 Inequalities
3.3.B7 Function graphs
3.3.B9 Transformations
3.4.C1 Straight lines
3.4.C2 Circle geometry
3.4.C3 Parametric equations
3.5.D1 Binomial expansion
3.5.D4 Arithmetic sequences
3.5.D5 Geometric sequences
3.6.1 Basic trigonometry
3.6.9 Trigonometry in context
3.7.F1 Exponential functions
3.7.F2 Exponential growth
3.7.F3 Natural logarithm
3.7.F5 Exponential equations
3.8.G1 Basic differentiation
3.10.I3 Numerical integration
3.10.I4 Application of numerical methods
3.11.J1 2D and 3D vectors
3.11.J4 Position vectors
3.13.L1 Diagrams for single-variable data
3.13.L2 Correlation
3.13.L3 Measures of central tendency
3.14.M1 Probability concepts
3.14.M2 Conditional probability
3.14.M3 Probability modelling
3.15.N1 Discrete probability
3.15.N2 Normal distribution
3.17.P1 SI units
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