AS-A Level

AS Level Mathematics Curriculum 2027

A complete 2Six3 programme combining Pure Mathematics, Statistics and Mechanics through structured lessons, problem solving, assessments and AS-style examination preparation.

49Scheduled sessions
42Teaching lessons
7Assessments
4 Jan–30 NovProgramme dates

Programme overview

The 2Six3 AS Level Mathematics curriculum develops advanced algebra, functions, coordinate geometry, trigonometry, logarithms, calculus, statistics and mechanics. Learners build fluency, mathematical reasoning, modelling skills and confidence with multi-step examination problems.

Pure Mathematics Algebra, functions, coordinate geometry, sequences, trigonometry, logarithms and calculus.
Statistics Data, probability, random variables, distributions and hypothesis testing.
Mechanics Kinematics, vectors, forces, equilibrium, momentum and mathematical modelling.
Block 1 Algebra and Functions 4 January–22 February 2027
Date Week Code Component Lesson Title Objective(s) Assessment
04/01/2027 1 AS-L01 Pure Mathematics Algebraic Manipulation and Indices Simplify algebraic expressions and apply positive, negative and fractional index laws Classwork
11/01/2027 2 AS-L02 Pure Mathematics Surds and Rationalising Denominators Simplify surds, perform operations with surds and rationalise denominators Exercise
18/01/2027 3 AS-L03 Pure Mathematics Quadratic Equations Solve quadratic equations by factorisation, completing the square and the quadratic formula Homework
25/01/2027 4 AS-L04 Pure Mathematics Quadratic Graphs and the Discriminant Interpret quadratic graphs and use the discriminant to determine the nature of roots Classwork
01/02/2027 5 AS-L05 Pure Mathematics Equations and Inequalities Solve linear, quadratic and simultaneous equations and represent inequality solutions Exercise
08/02/2027 6 AS-L06 Pure Mathematics Functions, Domain and Range Use function notation and determine domain, range and outputs of functions Classwork
15/02/2027 7 AS-L07 Pure Mathematics Composite, Inverse and Transformed Functions Find composite and inverse functions and describe transformations of graphs Quiz
22/02/2027 8 AS-A01 Assessment End of Block 1 Assessment Apply algebra, quadratics, inequalities and function skills in AS-style problems Topic Test
Block 2 Coordinate Geometry, Sequences and Binomial Expansion 1 March–19 April 2027
Date Week Code Component Lesson Title Objective(s) Assessment
01/03/2027 9 AS-L08 Pure Mathematics Straight-Line Coordinate Geometry Use gradients, equations of lines, parallel and perpendicular conditions Classwork
08/03/2027 10 AS-L09 Pure Mathematics Circles Use the equation of a circle and solve coordinate geometry problems involving tangents Exercise
15/03/2027 11 AS-L10 Pure Mathematics Coordinate Geometry Problem Solving Combine line and circle methods in multi-step coordinate geometry problems Homework
22/03/2027 12 AS-L11 Pure Mathematics Arithmetic Sequences and Series Find terms and sums of arithmetic sequences and solve contextual problems Classwork
29/03/2027 13 AS-L12 Pure Mathematics Geometric Sequences and Series Use geometric sequence and series formulae, including convergent series Exercise
05/04/2027 14 AS-L13 Pure Mathematics Binomial Expansion Expand expressions of the form (a + bx)^n for positive integer n Classwork
12/04/2027 15 AS-L14 Pure Mathematics Proof and Algebraic Reasoning Construct clear algebraic proofs and justify mathematical statements Quiz
19/04/2027 16 AS-A02 Assessment End of Block 2 Assessment Apply coordinate geometry, sequences, series, binomial expansion and proof Topic Test
Block 3 Trigonometry, Exponentials and Logarithms 26 April–14 June 2027
Date Week Code Component Lesson Title Objective(s) Assessment
26/04/2027 17 AS-L15 Pure Mathematics Radians, Arc Length and Sector Area Convert between degrees and radians and calculate arc lengths and sector areas Classwork
03/05/2027 18 AS-L16 Pure Mathematics Trigonometric Functions and Graphs Interpret and transform sine, cosine and tangent graphs Exercise
10/05/2027 19 AS-L17 Pure Mathematics Trigonometric Identities Use fundamental identities to simplify expressions and prove results Homework
17/05/2027 20 AS-L18 Pure Mathematics Trigonometric Equations Solve trigonometric equations over specified intervals Classwork
24/05/2027 21 AS-L19 Pure Mathematics Exponential Functions Use and interpret exponential functions in mathematical models Exercise
31/05/2027 22 AS-L20 Pure Mathematics Logarithms and Logarithmic Laws Apply logarithmic laws and solve exponential and logarithmic equations Classwork
07/06/2027 23 AS-L21 Pure Mathematics Exponential and Logarithmic Modelling Form and interpret growth and decay models using exponentials and logarithms Quiz
14/06/2027 24 AS-A03 Assessment End of Block 3 Assessment Apply trigonometry, radians, exponentials and logarithms Topic Test
Block 4 Calculus 21 June–9 August 2027
Date Week Code Component Lesson Title Objective(s) Assessment
21/06/2027 25 AS-L22 Pure Mathematics Introduction to Differentiation Interpret the derivative as gradient and differentiate polynomial functions Classwork
28/06/2027 26 AS-L23 Pure Mathematics Tangents, Normals and Rates of Change Find equations of tangents and normals and solve rate-of-change problems Exercise
05/07/2027 27 AS-L24 Pure Mathematics Stationary Points and Curve Sketching Locate and classify stationary points and sketch curves using derivative information Homework
12/07/2027 28 AS-L25 Pure Mathematics Optimisation Construct and solve optimisation problems using differentiation Classwork
19/07/2027 29 AS-L26 Pure Mathematics Introduction to Integration Integrate polynomial functions and include constants of integration Exercise
26/07/2027 30 AS-L27 Pure Mathematics Definite Integration and Areas Evaluate definite integrals and calculate areas between curves and axes Classwork
02/08/2027 31 AS-L28 Pure Mathematics Calculus in Kinematics Use differentiation and integration to connect displacement, velocity and acceleration Quiz
09/08/2027 32 AS-A04 Assessment End of Block 4 Assessment Apply differentiation, integration, optimisation and calculus-based kinematics Topic Test
Block 5 Statistics 16 August–4 October 2027
Date Week Code Component Lesson Title Objective(s) Assessment
16/08/2027 33 AS-L29 Statistics Data Collection, Sampling and Presentation Evaluate sampling methods and interpret statistical diagrams and grouped data Classwork
23/08/2027 34 AS-L30 Statistics Measures of Location and Spread Calculate and interpret mean, variance, standard deviation, quartiles and outliers Exercise
30/08/2027 35 AS-L31 Statistics Probability and Conditional Probability Apply probability rules, tree diagrams and conditional probability Homework
06/09/2027 36 AS-L32 Statistics Discrete Random Variables Construct probability distributions and calculate expectation and variance Classwork
13/09/2027 37 AS-L33 Statistics The Binomial Distribution Recognise binomial conditions and calculate binomial probabilities Exercise
20/09/2027 38 AS-L34 Statistics The Normal Distribution Standardise normal variables and calculate probabilities and unknown parameters Classwork
27/09/2027 39 AS-L35 Statistics Hypothesis Testing Conduct and interpret one-tailed and two-tailed hypothesis tests Quiz
04/10/2027 40 AS-A05 Assessment End of Block 5 Assessment Apply statistical representation, probability, distributions and hypothesis testing Statistics Test
Block 6 Mechanics and Synoptic Preparation 11 October–29 November 2027
Date Week Code Component Lesson Title Objective(s) Assessment
11/10/2027 41 AS-L36 Mechanics Kinematics with Constant Acceleration Use displacement, velocity, acceleration and constant-acceleration formulae Classwork
18/10/2027 42 AS-L37 Mechanics Vectors in Mechanics Resolve vectors and use vector methods for displacement, velocity and force Exercise
25/10/2027 43 AS-L38 Mechanics Forces and Newton's Laws Draw force diagrams and apply Newton's laws to particles Homework
01/11/2027 44 AS-L39 Mechanics Friction and Connected Particles Solve problems involving friction, strings, pulleys and connected particles Classwork
08/11/2027 45 AS-L40 Mechanics Moments and Equilibrium Apply moment conditions and force equilibrium to rigid bodies Exercise
15/11/2027 46 AS-L41 Mechanics Momentum and Impulse Use conservation of momentum and impulse-momentum relationships Classwork
22/11/2027 47 AS-L42 Synoptic Review AS Problem Solving and Examination Strategy Combine Pure Mathematics, Statistics and Mechanics methods in AS-style problems Revision Quiz
29/11/2027 48 AS-A06 Assessment AS Level Mock Examination Complete a timed synoptic assessment covering the full AS curriculum Mock Examination
Final Assessment AS Curriculum Assessment 30 November 2027
Date Week Code Component Lesson Title Objective(s) Assessment
30/11/2027 49 AS-A07 Assessment Final AS Curriculum Assessment and Reflection Demonstrate cumulative understanding and identify priorities for progression to A Level Final Assessment
2Six3 AS Level Mathematics: This unified programme combines conceptual understanding, algebraic fluency, modelling, reasoning and examination practice. Teachers may adjust pacing to meet learner needs while preserving the progression of the course.

A Level Mathematics Curriculum 2027

An advanced 2Six3 programme that extends AS Level learning through higher-level Pure Mathematics, Statistics and Mechanics, with sustained problem solving, mathematical modelling and examination preparation.

Progression from the 2Six3 AS Level Mathematics Curriculum
49Scheduled sessions
42Teaching lessons
7Assessments
4 Jan–30 NovProgramme dates

Programme overview

The 2Six3 A Level Mathematics curriculum develops advanced algebra, complex numbers, vectors, calculus, differential equations, numerical methods, probability distributions and mechanics. Learners are expected to connect topics, justify methods and solve unfamiliar multi-stage problems.

Advanced Pure Mathematics Algebra, functions, complex numbers, vectors, calculus, differential equations, numerical methods and series.
Advanced Statistics Poisson and continuous distributions, sampling, estimation, hypothesis testing, correlation and regression.
Advanced Mechanics Variable acceleration, projectiles, energy, momentum, circular motion, centres of mass and simple harmonic motion.
Block 1 Advanced Algebra and Functions 4 January–22 February 2027
Date Week Code Component Lesson Title Objective(s) Assessment
04/01/2027 1 AL-L01 Pure Mathematics Polynomial Division and the Remainder Theorem Divide polynomials and apply the factor and remainder theorems to solve problems Classwork
11/01/2027 2 AL-L02 Pure Mathematics Partial Fractions Decompose rational expressions into partial fractions, including repeated and quadratic factors Exercise
18/01/2027 3 AL-L03 Pure Mathematics Modulus Functions and Equations Sketch modulus graphs and solve equations and inequalities involving modulus expressions Homework
25/01/2027 4 AL-L04 Pure Mathematics Rational Functions and Asymptotes Analyse rational functions, identify asymptotes and sketch transformed graphs Classwork
01/02/2027 5 AL-L05 Pure Mathematics Parametric Equations Interpret parametric curves, eliminate parameters and solve coordinate problems Exercise
08/02/2027 6 AL-L06 Pure Mathematics Advanced Functions and Transformations Work with composite, inverse and transformed functions in multi-step problems Classwork
15/02/2027 7 AL-L07 Pure Mathematics Proof, Inequalities and Algebraic Reasoning Construct rigorous proofs and solve advanced inequalities using algebraic methods Quiz
22/02/2027 8 AL-A01 Assessment End of Block 1 Assessment Apply advanced algebra, functions, rational expressions and proof techniques Topic Test
Block 2 Trigonometry, Complex Numbers and Vectors 1 March–19 April 2027
Date Week Code Component Lesson Title Objective(s) Assessment
01/03/2027 9 AL-L08 Pure Mathematics Advanced Trigonometric Identities Use identities involving secant, cosecant and cotangent to simplify and prove results Classwork
08/03/2027 10 AL-L09 Pure Mathematics Trigonometric Equations and the R-Formula Solve advanced trigonometric equations and express a sin x + b cos x in a single form Exercise
15/03/2027 11 AL-L10 Pure Mathematics Inverse Trigonometric Functions Interpret inverse trigonometric functions, domains, ranges and related graphs Homework
22/03/2027 12 AL-L11 Pure Mathematics Complex Numbers and the Argand Diagram Perform operations with complex numbers and represent them geometrically Classwork
29/03/2027 13 AL-L12 Pure Mathematics Modulus-Argument Form and de Moivre's Theorem Express complex numbers in polar form and use de Moivre's theorem to find powers and roots Exercise
05/04/2027 14 AL-L13 Pure Mathematics Vectors in Three Dimensions Use vector equations, scalar products and geometric reasoning in three dimensions Classwork
12/04/2027 15 AL-L14 Pure Mathematics Vector Lines, Intersections and Angles Solve problems involving vector lines, intersections, distances and angles Quiz
19/04/2027 16 AL-A02 Assessment End of Block 2 Assessment Apply advanced trigonometry, complex-number and vector methods Topic Test
Block 3 Advanced Calculus 26 April–14 June 2027
Date Week Code Component Lesson Title Objective(s) Assessment
26/04/2027 17 AL-L15 Pure Mathematics Product, Quotient and Chain Rules Differentiate composite products and quotients accurately Classwork
03/05/2027 18 AL-L16 Pure Mathematics Implicit and Parametric Differentiation Differentiate implicit and parametric relationships and interpret gradients Exercise
10/05/2027 19 AL-L17 Pure Mathematics Advanced Curve Analysis and Optimisation Use first and second derivatives to analyse curves and solve optimisation problems Homework
17/05/2027 20 AL-L18 Pure Mathematics Integration by Substitution Select and apply substitutions to integrate composite functions Classwork
24/05/2027 21 AL-L19 Pure Mathematics Integration by Parts Integrate products using integration by parts, including repeated applications Exercise
31/05/2027 22 AL-L20 Pure Mathematics Integration Using Partial Fractions Integrate rational functions after decomposition into partial fractions Classwork
07/06/2027 23 AL-L21 Pure Mathematics Areas, Volumes and Improper Integrals Use definite integration to calculate areas, volumes of revolution and selected improper integrals Quiz
14/06/2027 24 AL-A03 Assessment End of Block 3 Assessment Apply advanced differentiation and integration techniques Topic Test
Block 4 Differential Equations, Numerical Methods and Series 21 June–9 August 2027
Date Week Code Component Lesson Title Objective(s) Assessment
21/06/2027 25 AL-L22 Pure Mathematics First-Order Differential Equations Solve separable first-order differential equations and use initial conditions Classwork
28/06/2027 26 AL-L23 Pure Mathematics Differential-Equation Modelling Form, solve and interpret differential equations in growth, decay and motion models Exercise
05/07/2027 27 AL-L24 Pure Mathematics Numerical Methods Locate roots and apply iteration and Newton-Raphson methods with appropriate accuracy Homework
12/07/2027 28 AL-L25 Pure Mathematics Recurrence Relations and Convergence Generate sequences from recurrence relations and investigate convergence Classwork
19/07/2027 29 AL-L26 Pure Mathematics General Binomial Expansion Use the binomial expansion for rational and negative indices within its interval of validity Exercise
26/07/2027 30 AL-L27 Pure Mathematics Series Approximations Use standard series expansions and approximations to estimate function values Classwork
02/08/2027 31 AL-L28 Synoptic Review Advanced Pure Mathematics Problem Solving Combine algebra, trigonometry, vectors, calculus and numerical methods in synoptic problems Revision Quiz
09/08/2027 32 AL-A04 Assessment End of Block 4 Assessment Apply differential equations, numerical methods, recurrence relations and series Topic Test
Block 5 Advanced Statistics 16 August–4 October 2027
Date Week Code Component Lesson Title Objective(s) Assessment
16/08/2027 33 AL-L29 Statistics The Poisson Distribution Model event counts using the Poisson distribution and calculate probabilities Classwork
23/08/2027 34 AL-L30 Statistics Continuous Random Variables Use probability density and cumulative distribution functions to calculate probabilities and expectations Exercise
30/08/2027 35 AL-L31 Statistics Normal Approximations and Continuity Correction Use normal approximations to discrete distributions with continuity corrections Homework
06/09/2027 36 AL-L32 Statistics Sampling Distributions Interpret sampling distributions and use the distribution of the sample mean Classwork
13/09/2027 37 AL-L33 Statistics Confidence Intervals and Hypothesis Tests Construct confidence intervals and conduct hypothesis tests for population parameters Exercise
20/09/2027 38 AL-L34 Statistics Correlation and Regression Calculate and interpret correlation and regression models, including limitations Classwork
27/09/2027 39 AL-L35 Statistics Advanced Probability and Distribution Modelling Select and combine probability distributions in multi-stage statistical models Quiz
04/10/2027 40 AL-A05 Assessment End of Block 5 Assessment Apply advanced probability, distributions, estimation and statistical inference Statistics Test
Block 6 Advanced Mechanics and Synoptic Preparation 11 October–29 November 2027
Date Week Code Component Lesson Title Objective(s) Assessment
11/10/2027 41 AL-L36 Mechanics Variable Acceleration Use calculus to connect displacement, velocity and acceleration in variable-motion models Classwork
18/10/2027 42 AL-L37 Mechanics Projectile Motion Resolve projectile motion into horizontal and vertical components and solve trajectory problems Exercise
25/10/2027 43 AL-L38 Mechanics Work, Energy and Power Apply work-energy principles, power relationships and conservation of mechanical energy Homework
01/11/2027 44 AL-L39 Mechanics Impulse, Momentum and Collisions Solve one-dimensional collision problems using impulse and conservation of momentum Classwork
08/11/2027 45 AL-L40 Mechanics Circular Motion Model uniform circular motion and apply centripetal-force relationships Exercise
15/11/2027 46 AL-L41 Mechanics Centres of Mass and Equilibrium Determine centres of mass and solve equilibrium problems involving rigid bodies Classwork
22/11/2027 47 AL-L42 Mechanics Simple Harmonic Motion and Synoptic Mechanics Model simple harmonic motion and combine advanced mechanics methods in examination problems Revision Quiz
29/11/2027 48 AL-A06 Assessment A Level Mock Examination Complete a timed synoptic assessment covering advanced Pure Mathematics, Statistics and Mechanics Mock Examination
Final Assessment A Level Curriculum Assessment 30 November 2027
Date Week Code Component Lesson Title Objective(s) Assessment
30/11/2027 49 AL-A07 Assessment Final A Level Curriculum Assessment and Reflection Demonstrate cumulative understanding and identify priorities for final examination preparation Final Assessment
2Six3 A Level Mathematics: This unified programme builds on AS Level knowledge and combines advanced technique, conceptual understanding, mathematical modelling, reasoning and examination practice. Pacing may be adjusted while preserving the planned progression.

AS & A Level Mathematics One-Year Intensive Programme 2027

An accelerated 2Six3 pathway enabling suitably prepared learners to study the complete AS and A Level Mathematics curriculum within one academic year. The programme combines Pure Mathematics, Statistics, Mechanics, frequent assessment and intensive independent study.

Accelerated AS-to-A Level progression
49Scheduled weeks
84Intensive lesson units
7Major assessments
4 Jan–30 NovProgramme dates

Programme structure

The first half of the programme establishes and assesses the full AS Level foundation. The second half advances directly into the complete A Level content. Each teaching week contains two substantial curriculum units, supported by retrieval practice, examination questions and independent study.

Intensive-entry guidance: This programme is demanding and is best suited to learners with a secure GCSE, O Level or equivalent mathematics foundation, strong algebra skills and sufficient time for regular independent study.
Teaching commitment Two intensive curriculum units each week, normally delivered through several contact lessons.
Independent study Recommended weekly problem sets, retrieval practice, corrections and examination preparation.
Assessment cycle Two AS stage assessments, an AS mock, two A Level stage assessments, an A Level mock and a final combined assessment.
Block 1 AS Foundations: Algebra, Functions and Coordinate Methods 4 January–22 February 2027
Date Week Stage Code Session 1 Session 2 Independent Study Weekly Assessment
04/01/2027 1 AS Stage INT-AS-01 Pure Mathematics Algebraic Manipulation and Indices
Simplify algebraic expressions and apply positive, negative and fractional index laws 		Pure Mathematics Surds and Rationalising Denominators
Simplify surds, perform operations with surds and rationalise denominators 		Complete targeted exercise questions and correct all errors. Retrieval quiz and examination-style homework
11/01/2027 2 AS Stage INT-AS-02 Pure Mathematics Quadratic Equations
Solve quadratic equations by factorisation, completing the square and the quadratic formula 		Pure Mathematics Quadratic Graphs and the Discriminant
Interpret quadratic graphs and use the discriminant to determine the nature of roots 		Complete an examination-style problem set under timed conditions. Retrieval quiz and examination-style homework
18/01/2027 3 AS Stage INT-AS-03 Pure Mathematics Equations and Inequalities
Solve linear, quadratic and simultaneous equations and represent inequality solutions 		Pure Mathematics Functions, Domain and Range
Use function notation and determine domain, range and outputs of functions 		Create a one-page summary of definitions, formulae and common methods. Retrieval quiz and examination-style homework
25/01/2027 4 AS Stage INT-AS-04 Pure Mathematics Composite, Inverse and Transformed Functions
Find composite and inverse functions and describe transformations of graphs 		Pure Mathematics Straight-Line Coordinate Geometry
Use gradients, equations of lines, parallel and perpendicular conditions 		Review prerequisite skills and complete mixed retrieval practice. Retrieval quiz and examination-style homework
01/02/2027 5 AS Stage INT-AS-05 Pure Mathematics Circles
Use the equation of a circle and solve coordinate geometry problems involving tangents 		Pure Mathematics Coordinate Geometry Problem Solving
Combine line and circle methods in multi-step coordinate geometry problems 		Complete past-paper questions and write full mathematical reasoning. Retrieval quiz and examination-style homework
08/02/2027 6 AS Stage INT-AS-06 Pure Mathematics Arithmetic Sequences and Series
Find terms and sums of arithmetic sequences and solve contextual problems 		Pure Mathematics Geometric Sequences and Series
Use geometric sequence and series formulae, including convergent series 		Analyse mistakes from classwork and repeat weak question types. Retrieval quiz and examination-style homework
15/02/2027 7 AS Stage INT-AS-07 Pure Mathematics Binomial Expansion
Expand expressions of the form (a + bx)^n for positive integer n 		Pure Mathematics Proof and Algebraic Reasoning
Construct clear algebraic proofs and justify mathematical statements 		Complete a cumulative quiz covering the current and previous weeks. Retrieval quiz and examination-style homework
22/02/2027 8 AS Stage INT-A01 Assessment AS Stage Assessment 1
Algebra, functions, coordinate geometry, sequences and early trigonometry 		Review Feedback, Error Analysis and Improvement Planning
Analyse performance, correct errors and identify priorities for the next stage 		Complete corrections and produce a personal improvement plan. AS Stage Assessment 1
Block 2 AS Development: Trigonometry, Calculus and Modelling 1 March–19 April 2027
Date Week Stage Code Session 1 Session 2 Independent Study Weekly Assessment
01/03/2027 9 AS Stage INT-AS-08 Pure Mathematics Radians, Arc Length and Sector Area
Convert between degrees and radians and calculate arc lengths and sector areas 		Pure Mathematics Trigonometric Functions and Graphs
Interpret and transform sine, cosine and tangent graphs 		Complete an examination-style problem set under timed conditions. Retrieval quiz and examination-style homework
08/03/2027 10 AS Stage INT-AS-09 Pure Mathematics Trigonometric Identities
Use fundamental identities to simplify expressions and prove results 		Pure Mathematics Trigonometric Equations
Solve trigonometric equations over specified intervals 		Create a one-page summary of definitions, formulae and common methods. Retrieval quiz and examination-style homework
15/03/2027 11 AS Stage INT-AS-10 Pure Mathematics Exponential Functions
Use and interpret exponential functions in mathematical models 		Pure Mathematics Logarithms and Logarithmic Laws
Apply logarithmic laws and solve exponential and logarithmic equations 		Review prerequisite skills and complete mixed retrieval practice. Retrieval quiz and examination-style homework
22/03/2027 12 AS Stage INT-AS-11 Pure Mathematics Exponential and Logarithmic Modelling
Form and interpret growth and decay models using exponentials and logarithms 		Pure Mathematics Introduction to Differentiation
Interpret the derivative as gradient and differentiate polynomial functions 		Complete past-paper questions and write full mathematical reasoning. Retrieval quiz and examination-style homework
29/03/2027 13 AS Stage INT-AS-12 Pure Mathematics Tangents, Normals and Rates of Change
Find equations of tangents and normals and solve rate-of-change problems 		Pure Mathematics Stationary Points and Curve Sketching
Locate and classify stationary points and sketch curves using derivative information 		Analyse mistakes from classwork and repeat weak question types. Retrieval quiz and examination-style homework
05/04/2027 14 AS Stage INT-AS-13 Pure Mathematics Optimisation
Construct and solve optimisation problems using differentiation 		Pure Mathematics Introduction to Integration
Integrate polynomial functions and include constants of integration 		Complete a cumulative quiz covering the current and previous weeks. Retrieval quiz and examination-style homework
12/04/2027 15 AS Stage INT-AS-14 Pure Mathematics Definite Integration and Areas
Evaluate definite integrals and calculate areas between curves and axes 		Pure Mathematics Calculus in Kinematics
Use differentiation and integration to connect displacement, velocity and acceleration 		Complete targeted exercise questions and correct all errors. Retrieval quiz and examination-style homework
19/04/2027 16 AS Stage INT-A02 Assessment AS Stage Assessment 2
Trigonometry, logarithms, calculus and mathematical modelling 		Review Feedback, Error Analysis and Improvement Planning
Analyse performance, correct errors and identify priorities for the next stage 		Complete corrections and produce a personal improvement plan. AS Stage Assessment 2
Block 3 AS Completion: Statistics, Mechanics and AS Mock 26 April–14 June 2027
Date Week Stage Code Session 1 Session 2 Independent Study Weekly Assessment
26/04/2027 17 AS Stage INT-AS-15 Statistics Data Collection, Sampling and Presentation
Evaluate sampling methods and interpret statistical diagrams and grouped data 		Statistics Measures of Location and Spread
Calculate and interpret mean, variance, standard deviation, quartiles and outliers 		Create a one-page summary of definitions, formulae and common methods. Retrieval quiz and examination-style homework
03/05/2027 18 AS Stage INT-AS-16 Statistics Probability and Conditional Probability
Apply probability rules, tree diagrams and conditional probability 		Statistics Discrete Random Variables
Construct probability distributions and calculate expectation and variance 		Review prerequisite skills and complete mixed retrieval practice. Retrieval quiz and examination-style homework
10/05/2027 19 AS Stage INT-AS-17 Statistics The Binomial Distribution
Recognise binomial conditions and calculate binomial probabilities 		Statistics The Normal Distribution
Standardise normal variables and calculate probabilities and unknown parameters 		Complete past-paper questions and write full mathematical reasoning. Retrieval quiz and examination-style homework
17/05/2027 20 AS Stage INT-AS-18 Statistics Hypothesis Testing
Conduct and interpret one-tailed and two-tailed hypothesis tests 		Mechanics Kinematics with Constant Acceleration
Use displacement, velocity, acceleration and constant-acceleration formulae 		Analyse mistakes from classwork and repeat weak question types. Retrieval quiz and examination-style homework
24/05/2027 21 AS Stage INT-AS-19 Mechanics Vectors in Mechanics
Resolve vectors and use vector methods for displacement, velocity and force 		Mechanics Forces and Newton's Laws
Draw force diagrams and apply Newton's laws to particles 		Complete a cumulative quiz covering the current and previous weeks. Retrieval quiz and examination-style homework
31/05/2027 22 AS Stage INT-AS-20 Mechanics Friction and Connected Particles
Solve problems involving friction, strings, pulleys and connected particles 		Mechanics Moments and Equilibrium
Apply moment conditions and force equilibrium to rigid bodies 		Complete targeted exercise questions and correct all errors. Retrieval quiz and examination-style homework
07/06/2027 23 AS Stage INT-AS-21 Mechanics Momentum and Impulse
Use conservation of momentum and impulse-momentum relationships 		Synoptic Review AS Problem Solving and Examination Strategy
Combine Pure Mathematics, Statistics and Mechanics methods in AS-style problems 		Complete an examination-style problem set under timed conditions. Retrieval quiz and examination-style homework
14/06/2027 24 AS Stage INT-A03 Assessment AS Level Mock Examination
Full AS Pure Mathematics, Statistics and Mechanics 		Review Feedback, Error Analysis and Improvement Planning
Analyse performance, correct errors and identify priorities for the next stage 		Complete corrections and produce a personal improvement plan. AS Level Mock Examination
Block 4 A Level Progression: Advanced Algebra, Complex Numbers and Calculus 21 June–9 August 2027
Date Week Stage Code Session 1 Session 2 Independent Study Weekly Assessment
21/06/2027 25 A Level Stage INT-AL-01 Pure Mathematics Polynomial Division and the Remainder Theorem
Divide polynomials and apply the factor and remainder theorems to solve problems 		Pure Mathematics Partial Fractions
Decompose rational expressions into partial fractions, including repeated and quadratic factors 		Review prerequisite skills and complete mixed retrieval practice. Retrieval quiz and examination-style homework
28/06/2027 26 A Level Stage INT-AL-02 Pure Mathematics Modulus Functions and Equations
Sketch modulus graphs and solve equations and inequalities involving modulus expressions 		Pure Mathematics Rational Functions and Asymptotes
Analyse rational functions, identify asymptotes and sketch transformed graphs 		Complete past-paper questions and write full mathematical reasoning. Retrieval quiz and examination-style homework
05/07/2027 27 A Level Stage INT-AL-03 Pure Mathematics Parametric Equations
Interpret parametric curves, eliminate parameters and solve coordinate problems 		Pure Mathematics Advanced Functions and Transformations
Work with composite, inverse and transformed functions in multi-step problems 		Analyse mistakes from classwork and repeat weak question types. Retrieval quiz and examination-style homework
12/07/2027 28 A Level Stage INT-AL-04 Pure Mathematics Proof, Inequalities and Algebraic Reasoning
Construct rigorous proofs and solve advanced inequalities using algebraic methods 		Pure Mathematics Advanced Trigonometric Identities
Use identities involving secant, cosecant and cotangent to simplify and prove results 		Complete a cumulative quiz covering the current and previous weeks. Retrieval quiz and examination-style homework
19/07/2027 29 A Level Stage INT-AL-05 Pure Mathematics Trigonometric Equations and the R-Formula
Solve advanced trigonometric equations and express a sin x + b cos x in a single form 		Pure Mathematics Inverse Trigonometric Functions
Interpret inverse trigonometric functions, domains, ranges and related graphs 		Complete targeted exercise questions and correct all errors. Retrieval quiz and examination-style homework
26/07/2027 30 A Level Stage INT-AL-06 Pure Mathematics Complex Numbers and the Argand Diagram
Perform operations with complex numbers and represent them geometrically 		Pure Mathematics Modulus-Argument Form and de Moivre's Theorem
Express complex numbers in polar form and use de Moivre's theorem to find powers and roots 		Complete an examination-style problem set under timed conditions. Retrieval quiz and examination-style homework
02/08/2027 31 A Level Stage INT-AL-07 Pure Mathematics Vectors in Three Dimensions
Use vector equations, scalar products and geometric reasoning in three dimensions 		Pure Mathematics Vector Lines, Intersections and Angles
Solve problems involving vector lines, intersections, distances and angles 		Create a one-page summary of definitions, formulae and common methods. Retrieval quiz and examination-style homework
09/08/2027 32 A Level Stage INT-A04 Assessment A Level Stage Assessment 1
Advanced algebra, functions, trigonometry, complex numbers, vectors and calculus 		Review Feedback, Error Analysis and Improvement Planning
Analyse performance, correct errors and identify priorities for the next stage 		Complete corrections and produce a personal improvement plan. A Level Stage Assessment 1
Block 5 A Level Development: Differential Equations, Series and Statistics 16 August–4 October 2027
Date Week Stage Code Session 1 Session 2 Independent Study Weekly Assessment
16/08/2027 33 A Level Stage INT-AL-08 Pure Mathematics Product, Quotient and Chain Rules
Differentiate composite products and quotients accurately 		Pure Mathematics Implicit and Parametric Differentiation
Differentiate implicit and parametric relationships and interpret gradients 		Complete past-paper questions and write full mathematical reasoning. Retrieval quiz and examination-style homework
23/08/2027 34 A Level Stage INT-AL-09 Pure Mathematics Advanced Curve Analysis and Optimisation
Use first and second derivatives to analyse curves and solve optimisation problems 		Pure Mathematics Integration by Substitution
Select and apply substitutions to integrate composite functions 		Analyse mistakes from classwork and repeat weak question types. Retrieval quiz and examination-style homework
30/08/2027 35 A Level Stage INT-AL-10 Pure Mathematics Integration by Parts
Integrate products using integration by parts, including repeated applications 		Pure Mathematics Integration Using Partial Fractions
Integrate rational functions after decomposition into partial fractions 		Complete a cumulative quiz covering the current and previous weeks. Retrieval quiz and examination-style homework
06/09/2027 36 A Level Stage INT-AL-11 Pure Mathematics Areas, Volumes and Improper Integrals
Use definite integration to calculate areas, volumes of revolution and selected improper integrals 		Pure Mathematics First-Order Differential Equations
Solve separable first-order differential equations and use initial conditions 		Complete targeted exercise questions and correct all errors. Retrieval quiz and examination-style homework
13/09/2027 37 A Level Stage INT-AL-12 Pure Mathematics Differential-Equation Modelling
Form, solve and interpret differential equations in growth, decay and motion models 		Pure Mathematics Numerical Methods
Locate roots and apply iteration and Newton-Raphson methods with appropriate accuracy 		Complete an examination-style problem set under timed conditions. Retrieval quiz and examination-style homework
20/09/2027 38 A Level Stage INT-AL-13 Pure Mathematics Recurrence Relations and Convergence
Generate sequences from recurrence relations and investigate convergence 		Pure Mathematics General Binomial Expansion
Use the binomial expansion for rational and negative indices within its interval of validity 		Create a one-page summary of definitions, formulae and common methods. Retrieval quiz and examination-style homework
27/09/2027 39 A Level Stage INT-AL-14 Pure Mathematics Series Approximations
Use standard series expansions and approximations to estimate function values 		Synoptic Review Advanced Pure Mathematics Problem Solving
Combine algebra, trigonometry, vectors, calculus and numerical methods in synoptic problems 		Review prerequisite skills and complete mixed retrieval practice. Retrieval quiz and examination-style homework
04/10/2027 40 A Level Stage INT-A05 Assessment A Level Stage Assessment 2
Advanced calculus, differential equations, numerical methods, series and statistics 		Review Feedback, Error Analysis and Improvement Planning
Analyse performance, correct errors and identify priorities for the next stage 		Complete corrections and produce a personal improvement plan. A Level Stage Assessment 2
Block 6 A Level Completion: Advanced Mechanics and Final Mock 11 October–29 November 2027
Date Week Stage Code Session 1 Session 2 Independent Study Weekly Assessment
11/10/2027 41 A Level Stage INT-AL-15 Statistics The Poisson Distribution
Model event counts using the Poisson distribution and calculate probabilities 		Statistics Continuous Random Variables
Use probability density and cumulative distribution functions to calculate probabilities and expectations 		Analyse mistakes from classwork and repeat weak question types. Retrieval quiz and examination-style homework
18/10/2027 42 A Level Stage INT-AL-16 Statistics Normal Approximations and Continuity Correction
Use normal approximations to discrete distributions with continuity corrections 		Statistics Sampling Distributions
Interpret sampling distributions and use the distribution of the sample mean 		Complete a cumulative quiz covering the current and previous weeks. Retrieval quiz and examination-style homework
25/10/2027 43 A Level Stage INT-AL-17 Statistics Confidence Intervals and Hypothesis Tests
Construct confidence intervals and conduct hypothesis tests for population parameters 		Statistics Correlation and Regression
Calculate and interpret correlation and regression models, including limitations 		Complete targeted exercise questions and correct all errors. Retrieval quiz and examination-style homework
01/11/2027 44 A Level Stage INT-AL-18 Statistics Advanced Probability and Distribution Modelling
Select and combine probability distributions in multi-stage statistical models 		Mechanics Variable Acceleration
Use calculus to connect displacement, velocity and acceleration in variable-motion models 		Complete an examination-style problem set under timed conditions. Retrieval quiz and examination-style homework
08/11/2027 45 A Level Stage INT-AL-19 Mechanics Projectile Motion
Resolve projectile motion into horizontal and vertical components and solve trajectory problems 		Mechanics Work, Energy and Power
Apply work-energy principles, power relationships and conservation of mechanical energy 		Create a one-page summary of definitions, formulae and common methods. Retrieval quiz and examination-style homework
15/11/2027 46 A Level Stage INT-AL-20 Mechanics Impulse, Momentum and Collisions
Solve one-dimensional collision problems using impulse and conservation of momentum 		Mechanics Circular Motion
Model uniform circular motion and apply centripetal-force relationships 		Review prerequisite skills and complete mixed retrieval practice. Retrieval quiz and examination-style homework
22/11/2027 47 A Level Stage INT-AL-21 Mechanics Centres of Mass and Equilibrium
Determine centres of mass and solve equilibrium problems involving rigid bodies 		Mechanics Simple Harmonic Motion and Synoptic Mechanics
Model simple harmonic motion and combine advanced mechanics methods in examination problems 		Complete past-paper questions and write full mathematical reasoning. Retrieval quiz and examination-style homework
29/11/2027 48 A Level Stage INT-A06 Assessment A Level Mock Examination
Full advanced Pure Mathematics, Statistics and Mechanics 		Review Feedback, Error Analysis and Improvement Planning
Analyse performance, correct errors and identify priorities for the next stage 		Complete corrections and produce a personal improvement plan. A Level Mock Examination
Final Assessment Combined AS and A Level Assessment 30 November 2027
Date Week Stage Code Session 1 Session 2 Independent Study Weekly Assessment
30/11/2027 49 Combined Final INT-A07 Assessment Final Combined AS & A Level Assessment
Synoptic assessment across the complete one-year intensive programme 		Review Feedback, Error Analysis and Improvement Planning
Analyse performance, correct errors and identify priorities for the next stage 		Complete corrections and produce a personal improvement plan. Final Combined AS & A Level Assessment
2Six3 One-Year Intensive Mathematics: The programme combines the complete AS and A Level learning pathway into one accelerated year. Teachers should use diagnostic assessment, regular intervention and careful workload monitoring to ensure that pace does not replace secure understanding.

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