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Edexcel A Level Maths (9MA0) scheme of work

A complete plan for Edexcel A Level Maths (9MA0): 66 weeks, 264 lessons, with a quick check most weeks and a test at the end of each unit. Here is the whole plan at a glance and one lesson in full.

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A sample lesson, in full

Week 2 · Lesson 4 · Pure Year 1 (Papers 1 & 2)

Quadratics 4: The Discriminant & Modelling with Quadratics

By the end of the lesson students can: Use the discriminant b² − 4ac to decide how many real roots a quadratic has and build and use quadratic models of real situations.
Specification reference: 9MA0 2.3 · Solving quadratics & the discriminant
Quick check FA2: Quadratics
Misconceptions to watch for: Turning point of (x + p)² + q read as (p, q); b² − 4ac > 0 used for 'real roots' (≥ 0); dividing by x and losing x = 0.
Then the unit test SA1 (week 8): SA1: Algebra, Graphs & Coordinate Geometry · Paper 1/2 style · calculator · 60 mins
In the full plan, every lesson also has: The starter for the week, practice and homework on the topic in one click, and a tick to mark it taught for your class.

The course at a glance

FA = a short formative check in that week; SA = an end-of-unit test.

Two-year plan

66 weeks · 264 lessons · 53 quick checks (FA) · 11 unit tests (SA)

Week	Lessons	Checks
Pure Year 1 (Papers 1 & 2)
1	Algebraic Expressions 1: Index Laws, Expanding & Factorising · Algebraic Expressions 2: Factorising Cubics & Difference of Two Squares · Algebraic Expressions 3: Negative & Fractional Indices · Algebraic Expressions 4: Surds & Rationalising Denominators	FA1
2	Quadratics 1: Solving Quadratic Equations · Quadratics 2: Completing the Square · Quadratics 3: Functions & Quadratic Graphs · Quadratics 4: The Discriminant & Modelling with Quadratics	FA2
3	Equations 1: Linear Simultaneous Equations · Equations 2: Simultaneous Equations with One Quadratic · Inequalities 1: Linear Inequalities · Inequalities 2: Quadratic Inequalities & Set Notation	FA3
4	Inequalities 3: Inequalities on Graphs & Regions · Graphs 1: Cubic Graphs · Graphs 2: Quartic & Reciprocal Graphs · Graphs 3: Points of Intersection	FA4
5	Graphs 4: Translating Graphs · Graphs 5: Stretching Graphs · Graphs 6: Transforming Functions · Straight Lines 1: y = mx + c	FA5
6	Straight Lines 2: Equations of Straight Lines · Straight Lines 3: Parallel & Perpendicular Lines · Straight Lines 4: Length & Area · Straight Lines 5: Modelling with Straight Lines	FA6
7	Circles 1: Midpoints & Perpendicular Bisectors · Circles 2: The Equation of a Circle · Circles 3: Intersections of Straight Lines & Circles · Circles 4: Tangents & Chords	FA7
8	Circles 5: Circles & Triangles · Summative Assessment 1 (SA1): Algebra, Graphs & Coordinate Geometry · Algebraic Methods 1: Algebraic Fractions & Dividing Polynomials · Algebraic Methods 2: The Factor Theorem	FA8 SA1
9	Proof 1: Mathematical Proof by Deduction · Proof 2: Proof by Exhaustion · Proof 3: Disproof by Counter-Example · Binomial 1: Pascal's Triangle & Factorial Notation	FA9
10	Binomial 2: The Binomial Expansion · Binomial 3: Solving Binomial Problems · Binomial 4: Binomial Estimation · Trigonometry 1: The Cosine Rule	FA10
11	Trigonometry 2: The Sine Rule · Trigonometry 3: Areas of Triangles · Trigonometry 4: Solving Triangle Problems · Trigonometry 5: Graphs of Sine, Cosine & Tangent	FA11
12	Trigonometry 6: Transforming Trigonometric Graphs · Trig Identities 1: Angles in All Four Quadrants & Exact Values · Trig Identities 2: tan θ = sin θ / cos θ and sin²θ + cos²θ = 1 · Trig Identities 3: Simple Trigonometric Equations	FA12
13	Trig Identities 4: Harder Trigonometric Equations · Trig Identities 5: Equations & Identities (Quadratic in sin/cos) · Vectors 1: Vectors & Representing Vectors · Vectors 2: Magnitude & Direction	FA13
14	Vectors 3: Position Vectors · Vectors 4: Solving Geometric Problems · Vectors 5: Modelling with Vectors · Summative Assessment 2 (SA2): Algebraic Methods, Binomial, Trigonometry & Vectors	SA2
15	Differentiation 1: Gradients of Curves · Differentiation 2: Finding the Derivative from First Principles · Differentiation 3: Differentiating xⁿ · Differentiation 4: Differentiating Quadratics & Polynomials	FA14
16	Differentiation 5: Gradients, Tangents & Normals · Differentiation 6: Increasing & Decreasing Functions · Differentiation 7: Second Derivatives · Differentiation 8: Stationary Points	FA15
17	Differentiation 9: Sketching Gradient Functions · Differentiation 10: Modelling with Differentiation · Integration 1: Integrating xⁿ · Integration 2: Indefinite Integrals & Finding Functions	FA16
18	Integration 3: Definite Integrals · Integration 4: Areas Under Curves · Integration 5: Areas Under the x-Axis · Integration 6: Areas Between Curves & Lines	FA17
19	Exponentials 1: Exponential Functions · Exponentials 2: y = eˣ · Exponentials 3: Exponential Modelling · Logarithms 1: Logarithms	FA18
20	Logarithms 2: Laws of Logarithms · Logarithms 3: Solving Equations Using Logarithms · Logarithms 4: Natural Logarithms & Logarithms with Non-Linear Data · Summative Assessment 3 (SA3): Pure Year 1 — Calculus, Exponentials & Logarithms	SA3
Statistics Year 1 (Paper 3)
21	Data Collection 1: Populations, Samples & the Census · Data Collection 2: Simple Random Sampling · Data Collection 3: Systematic, Stratified, Quota & Opportunity Sampling · Data Collection 4: Types of Data & the Large Data Set	FA19
22	Measures 1: Measures of Central Tendency · Measures 2: Quartiles, Percentiles & Interpolation · Measures 3: Measures of Spread, Variance & Standard Deviation · Measures 4: Coding	FA20
23	Representations 1: Outliers & Box Plots · Representations 2: Cumulative Frequency · Representations 3: Histograms · Representations 4: Comparing Data	FA21
24	Correlation 1: Correlation & Scatter Diagrams · Correlation 2: Linear Regression & Interpretation · Probability 1: Calculating Probabilities & Venn Diagrams · Probability 2: Mutually Exclusive & Independent Events	FA22
25	Probability 3: Tree Diagrams · Distributions 1: Probability Distributions · Distributions 2: The Binomial Distribution · Distributions 3: Cumulative Probabilities	FA23
26	Hypothesis Testing 1: The Language of Hypothesis Testing · Hypothesis Testing 2: Finding Critical Values & Regions · Hypothesis Testing 3: One-Tailed & Two-Tailed Tests · Summative Assessment 4 (SA4): Statistics Year 1	SA4
Mechanics Year 1 (Paper 3)
27	Modelling 1: Constructing a Model & Modelling Assumptions · Modelling 2: Quantities & Units in Mechanics · Kinematics 1: Displacement–Time & Velocity–Time Graphs · Kinematics 2: Constant Acceleration Formulae (suvat)	FA24
28	Kinematics 3: Using suvat in Multi-Stage Problems · Kinematics 4: Vertical Motion Under Gravity · Forces 1: Force Diagrams & Resultant Forces · Forces 2: Forces as Vectors	FA25
29	Forces & Motion 1: Newton's First & Second Laws, F = ma · Forces & Motion 2: Newton's Third Law & Connected Particles · Forces & Motion 3: Pulleys · Forces & Motion 4: Problem Solving with Newton's Laws	FA26
30	Variable Acceleration 1: Functions of Time · Variable Acceleration 2: Using Differentiation · Variable Acceleration 3: Maxima & Minima Problems · Variable Acceleration 4: Using Integration	FA27
31	Variable Acceleration 5: suvat Derived by Calculus · Mechanics Year 1 Problem Solving · Summative Assessment 5 (SA5): Mechanics Year 1 · SA5 Review: Modelling & Exam Technique	SA5
Year 1 · End-of-year assessment
32	Year 1 Revision: Pure (Algebra, Trigonometry, Calculus) · Year 1 Revision: Statistics & Mechanics · Mock Exam: Pure Year 1 (2 h) · Mock Exam: Statistics & Mechanics Year 1 (1 h 15)	MOCK1
33	Reviewing the Pure Year 1 Mock · Reviewing the Statistics & Mechanics Year 1 Mock · Year 2 Bridge: Functions & the Modulus Function · Year 2 Bridge: Radians
Pure Year 2 (Papers 1 & 2)
34	Algebraic Methods 1: Proof by Contradiction · Algebraic Methods 2: Algebraic Fractions · Algebraic Methods 3: Partial Fractions · Algebraic Methods 4: Repeated Factors & Improper Fractions	FA28
35	Functions 1: The Modulus Function · Functions 2: Functions & Mappings · Functions 3: Composite Functions · Functions 4: Inverse Functions	FA29
36	Functions 5: y = \|f(x)\| and y = f(\|x\|) · Functions 6: Combining Transformations · Functions 7: Solving Modulus Problems · Sequences 1: Arithmetic Sequences & Series	FA30
37	Sequences 2: Geometric Sequences & Series · Sequences 3: Sum to Infinity · Sequences 4: Sigma Notation · Sequences 5: Recurrence Relations	FA31
38	Sequences 6: Increasing, Decreasing & Periodic Sequences · Sequences 7: Modelling with Series · Binomial 1: Expanding (1 + x)ⁿ for Rational n · Binomial 2: Expanding (a + bx)ⁿ & the Range of Validity	FA32
39	Binomial 3: Using Partial Fractions · Radians 1: Radian Measure, Arc Length & Sector Area · Radians 2: Areas of Segments & Problems · Radians 3: Solving Trigonometric Equations in Radians	FA33
40	Radians 4: Small Angle Approximations · Trig Functions 1: Secant, Cosecant & Cotangent · Trig Functions 2: Graphs of sec, cosec & cot · Trig Functions 3: Using sec²x = 1 + tan²x and cosec²x = 1 + cot²x	FA34
41	Trig Functions 4: Inverse Trigonometric Functions · Trig & Modelling 1: Addition Formulae · Trig & Modelling 2: Using the Angle Addition Formulae · Trig & Modelling 3: Double-Angle Formulae	FA35
42	Trig & Modelling 4: Solving Trigonometric Equations · Trig & Modelling 5: Simplifying a cos x ± b sin x · Trig & Modelling 6: Proving Trigonometric Identities · Trig & Modelling 7: Modelling with Trigonometric Functions	FA36
43	Parametric Equations 1: Parametric Equations · Parametric Equations 2: Using Trigonometric Identities to Convert · Parametric Equations 3: Curve Sketching · Parametric Equations 4: Points of Intersection & Modelling	FA37
44	Differentiation 1: Differentiating sin x and cos x · Differentiation 2: Differentiating Exponentials & Logarithms · Differentiation 3: The Chain Rule · Differentiation 4: The Product Rule	FA38
45	Differentiation 5: The Quotient Rule · Differentiation 6: Differentiating Trigonometric Functions · Differentiation 7: Parametric Differentiation · Differentiation 8: Implicit Differentiation	FA39
46	Differentiation 9: Using Second Derivatives (Concave, Convex, Inflection) · Differentiation 10: Rates of Change · Differentiation 11: Mixed Problem Solving · Summative Assessment 6 (SA6): Pure Year 2 — Algebra, Functions, Trigonometry & Differentiation	FA40 SA6
47	Numerical Methods 1: Locating Roots · Numerical Methods 2: Iteration, Staircase & Cobweb Diagrams · Numerical Methods 3: The Newton–Raphson Method · Numerical Methods 4: Applications to Modelling	FA41
48	Integration 1: Integrating Standard Functions · Integration 2: Integrating f(ax + b) · Integration 3: Using Trigonometric Identities · Integration 4: Reverse Chain Rule	FA42
49	Integration 5: Integration by Substitution · Integration 6: Integration by Parts · Integration 7: Partial Fractions · Integration 8: Finding Areas	FA43
50	Integration 9: The Trapezium Rule · Integration 10: Solving Differential Equations · Integration 11: Modelling with Differential Equations · Integration 12: Integration as the Limit of a Sum & Mixed Practice	FA44
51	Vectors 1: 3D Coordinates · Vectors 2: Vectors in 3D · Vectors 3: Solving Geometric Problems in 3D · Vectors 4: Application to Mechanics	FA45
52	Pure Year 2 Revision 1: Algebra, Functions, Sequences & Trigonometry · Pure Year 2 Revision 2: Differentiation, Integration & Numerical Methods · Summative Assessment 7 (SA7): Pure Year 2 · SA7 Review: Exam Technique & Next Steps	SA7
Statistics Year 2 (Paper 3)
53	Regression 1: Exponential Models & Regression with Logarithms · Correlation 1: Measuring Correlation (PMCC) · Correlation 2: Hypothesis Testing for Zero Correlation · Probability 1: Set Notation	FA46
54	Probability 2: Conditional Probability · Probability 3: Conditional Probabilities in Venn Diagrams · Probability 4: Probability Formulae · Probability 5: Tree Diagrams & Two-Way Tables	FA47
55	Normal Distribution 1: The Normal Distribution · Normal Distribution 2: Finding Probabilities · Normal Distribution 3: The Inverse Normal Distribution · Normal Distribution 4: The Standard Normal & Finding μ and σ	FA48
56	Normal Distribution 5: Approximating a Binomial Distribution · Normal Distribution 6: Hypothesis Testing with the Normal Distribution · Statistics Year 2 Problem Solving · Summative Assessment 8 (SA8): Statistics Year 2	SA8
Mechanics Year 2 (Paper 3)
57	Moments 1: Moments & Resultant Moments · Moments 2: Equilibrium · Moments 3: Centres of Mass & Non-Uniform Rods · Moments 4: Tilting	FA49
58	Forces & Friction 1: Resolving Forces · Forces & Friction 2: Inclined Planes · Forces & Friction 3: Friction & the Coefficient of Friction · Forces & Friction 4: Friction on Inclined Planes	FA50
59	Projectiles 1: Horizontal Projection · Projectiles 2: Horizontal & Vertical Components · Projectiles 3: Projection at Any Angle · Projectiles 4: Projectile Motion Formulae	FA51
60	Applications of Forces 1: Static Particles · Applications of Forces 2: Modelling with Statics · Applications of Forces 3: Friction & Static Particles · Applications of Forces 4: Static Rigid Bodies (Ladders)	FA52
61	Applications of Forces 5: Dynamics & Inclined Planes · Applications of Forces 6: Connected Particles · Further Kinematics 1: Vectors in Kinematics · Further Kinematics 2: Vector Methods with Projectiles	FA53
62	Further Kinematics 3: Variable Acceleration in One & Two Dimensions · Further Kinematics 4: Differentiating & Integrating Vectors · Summative Assessment 9 (SA9): Mechanics Year 2 · SA9 Review: Modelling & Exam Technique	SA9
Year 2 · Exam preparation (Papers 1–3)
63	Mock Exam: Paper 1 — Pure Mathematics 1 (2 h) · Mock Exam: Paper 2 — Pure Mathematics 2 (2 h) · Mock Exam: Paper 3 — Statistics & Mechanics (2 h) · Reviewing the Mocks: Errors, Targets & Revision Plan	MOCK2
64	Revision: Proof, Algebra & Functions · Revision: Trigonometry Across Year 1 & Year 2 · Revision: Calculus Across Year 1 & Year 2 · Revision: Statistics & Mechanics
65	Exam Practice: Timed Paper 1 · Exam Practice: Timed Paper 2 · Exam Practice: Timed Paper 3 · Exam Technique: Problem Solving & Modelling Questions
66	Final Revision: Large Data Set & Statistical Interpretation · Final Revision: Mechanics Modelling · Final Revision: Pure Problem Solving · Final Review & Exam Readiness

The full plan: every lesson with its objective, starters, practice and homework links, your own order and dates, and a tick to mark each lesson taught.

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What the course covers

Every syllabus point in plain English, with practice for each: Edexcel A Level Maths (9MA0) syllabus checklist.

Edexcel International A Level Maths scheme of work