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Tantervek 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

Tantervek 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

AO1 Use and apply standard techniques

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