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Edexcel IGCSE Maths A (4MA1) scheme of work

A complete plan for Edexcel IGCSE Maths A (4MA1): 65 weeks, 260 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 · Unit 1 · Form (Number)

Decimals & Recurring Decimals to Fractions

By the end of the lesson students can
Convert between fractions and decimals, and use algebra to convert recurring decimals such as 0.4̇5̇ into fractions in their simplest form.
Specification reference
4MA1 1.3
Quick check FA2
Fraction operations & recurring decimals
Misconceptions to watch for
Adding numerators and denominators; not converting mixed numbers before multiplying; using 10x − x for a two-digit recurring block.
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.

Year 10

33 weeks · 132 lessons · 31 quick checks (FA) · 5 unit tests (SA)

WeekLessonsChecks
Unit 1 · Form (Number)
1Baseline Diagnostic: Prior Knowledge Check · Number 1: Factors, Multiples, Primes, Squares & Cubes · Number 2: Prime Factors, HCF & LCM · Number 3: Rounding, Estimation & Using a CalculatorFA1
2Fractions 1: Adding & Subtracting (incl. Mixed Numbers) · Fractions 2: Multiplying & Dividing · Fractions 3: Fractions in Context · Decimals & Recurring Decimals to FractionsFA2
3Indices 1: Laws of Indices · Indices 2: Zero, Negative & Fractional Indices · Surds 1: Simplifying & Manipulating Surds · Surds 2: Rationalising the DenominatorFA3
4Standard Form 1: Converting & Ordering · Standard Form 2: Calculating in Standard Form · Percentage 1: Percentages of Amounts & Percentage Change · Percentage 2: Reverse PercentagesFA4
5Percentage 3: Compound Interest, Depreciation & Repeated Change · Ratio 1: Simplifying & Sharing in a Ratio · Ratio 2: Harder Ratio Problems · Applying Number: Exchange Rates & Best BuysFA5
6Compound Measures 1: Speed, Distance & Time · Compound Measures 2: Density & Pressure · Upper and Lower Bounds 1 · Upper and Lower Bounds 2: Bounds in CalculationsFA6
Unit 1 → 2
7Consolidation & Problem Solving 1 (Number) · Half-term Test 1 (Number) · REF: Unit Reflection & Feedback · Basic Algebra: Simplifying ExpressionsFA7 SA1
Unit 2 · Relationships (Algebra)
8Expressions & Formulae: Writing Expressions from Words & Diagrams · Substituting into Formulae · Brackets 1: Expanding Single Brackets & Common Factors · Brackets 2: Expanding Double BracketsFA8
9Brackets 3: Triple Brackets & (a + b)² · Factorising 1: Quadratics x² + bx + c · Factorising 2: Difference of Two Squares · Factorising 3: Quadratics ax² + bx + cFA9
10Equations 1: One- & Two-Step Linear Equations · Equations 2: Brackets & Unknowns on Both Sides · Equations 3: Equations with Fractions · Equations 4: Forming & Solving EquationsFA10
11Formulae 1: Changing the Subject · Formulae 2: Subject with Powers & Roots · Linear Inequalities 1: Solving & Number Lines · Linear Inequalities 2: Double Inequalities & Integer SolutionsFA11
12Sequences 1: Term-to-Term Rules & nth Term · Coordinates & Midpoints · Linear Graphs 1: Plotting Straight Lines · Linear Graphs 2: y = mx + c, Gradient & InterceptFA12
13Linear Graphs 3: Line Through Two Points & Length of a Segment · Simultaneous Equations 1: Elimination · Simultaneous Equations 2: Substitution · Simultaneous Equations 3: Graphical Solutions & ContextFA13
14Regions on Graphs 1: Linear Inequalities on a Grid · Consolidation & Problem Solving 2 (Algebra) · End-of-term Test 1 (Number & Algebra) · REF: Unit Reflection & FeedbackFA14 SA2
Unit 3 · Form & Space (Geometry)
15Angles 1: Angle Facts & Parallel Lines · Angles 2: Triangles & Quadrilaterals · Polygons 1: Interior & Exterior Angles · Polygons 2: Angle Sums & Problem SolvingFA15
16Symmetry & Properties of Quadrilaterals · Congruent Triangles (SSS, SAS, ASA, RHS) · Scale Drawings & Maps · BearingsFA16
17Constructions 1: Bisectors & Triangles · Constructions 2: Loci · Perimeter and Area 1: Triangles, Parallelograms & Trapezia · Perimeter and Area 2: Compound ShapesFA17
18Circles 1: Circumference & Area · Circles 2: Arcs & Sectors · Volume 1: Prisms & Cylinders · Surface Area 1: Prisms & CylindersFA18
19Measures: Converting Length, Area, Volume & Capacity Units · Pythagoras' Theorem 1 · Pythagoras' Theorem 2: Shorter Sides & Applications · Consolidation & Problem Solving 3 (Geometry)FA19
20Half-term Test 2 (Algebra & Geometry) · REF: Unit Reflection & Feedback · Trigonometry 1: Finding Sides (SOH CAH TOA) · Trigonometry 2: Finding AnglesFA20
Unit 3 → 4
21Trigonometry 3: Elevation, Depression & Bearings · Trigonometry 4: Mixed Pythagoras & Trigonometry Problems · Unit 3 Consolidation (SA3 prep) · Quadratic Equations 1: Solving by Factorising (a = 1)FA21 SA3
Unit 4 · Logic (Quadratics & Graphs)
22Quadratic Equations 2: Solving by Factorising (a ≠ 1) · Quadratic Equations 3: Forming & Solving Quadratics · Completing the Square 1 · Quadratic Graphs 1: Plotting from a TableFA22
23Quadratic Graphs 2: Roots, Intercepts & Line of Symmetry · Recognising Graph Shapes & Growth by Multipliers · Real-life Graphs: Distance–Time & Speed–Time · Algebraic Identities & 'Show That' ProblemsFA23
24Consolidation & Problem Solving 4 (Quadratics & Graphs) · Revision: Number & Algebra · Revision: Geometry & Trigonometry · End-of-term Test 2 (Number, Algebra & Geometry)FA24
Unit 4 → 5
25REF: Unit Reflection & Feedback · Statistics 1: Types of Data & Two-way Tables · Representing Data 1: Bar Charts & Pie Charts · Statistical Measures 1: Mean, Median, Mode & RangeFA25
Unit 5 · Relationships (Statistics)
26Statistical Measures 2: Averages from Frequency Tables · Statistical Measures 3: Grouped Data & Estimated Mean · Statistical Measures 4: Combined Means & Missing Values · Representing Data 2: Frequency PolygonsFA26
27Histograms 1: Frequency Density · Histograms 2: Interpreting & Estimating from Histograms · Quartiles & Interquartile Range from Lists · Cumulative Frequency 1: Tables & CurvesFA27
28Cumulative Frequency 2: Median, Quartiles & IQR · Comparing Distributions · Statistical Investigation 1: Planning & Collecting Data · Statistical Investigation 2: Analysing & Presenting (SA4)FA28 SA4
29Probability Bridge: Sample Spaces & Listing Outcomes · Mixed Problem Solving 1: Number & Proportion · Mixed Problem Solving 2: Algebra · Mixed Problem Solving 3: Geometry & StatisticsFA29
30Revision: Number & Algebra (Exam Practice) · Revision: Geometry & Statistics (Exam Practice) · Revision: Exam Technique & Common Errors · Consolidation & Problem Solving 5 (Full Year)FA30
End of Year
31End-of-year Exam Paper 1 · End-of-year Exam Paper 2 · REF: Exam Feedback & Corrections · REF: Personal Target Setting & Gap FillingSA5
Bridge to Year 11
32Bridge 1: Algebraic Fluency — Expanding & Factorising · Bridge 2: Formulae — Rearranging Review · Bridge 3: Coordinate Geometry Review (Gradient & Midpoint) · Bridge 4: Pythagoras & Trigonometry ReviewFA31
33Enrichment Investigation 1: Patterns & Generalisation (MYP B) · Enrichment Investigation 2: Communicating Mathematics (MYP C) · Year 10 Review & Year 11 Readiness Check · End-of-Year Review & Reflection
Year 11: show the plan

Year 11

32 weeks · 128 lessons · 24 quick checks (FA) · 4 unit tests (SA)

WeekLessonsChecks
Unit 1 · Relationships
1Sets 1: Set Language & Notation · Sets 2: Set Arithmetic (Union/Intersection) · Sets 3: Set Listing & Cardinality · Probability 1: Theoretical ProbabilityFA1
2Probability 2: Experimental & Relative Freq. · Probability 3: Probability Trees · Venn Diagrams 1: Representing Elements · Venn Diagrams 2: Cardinality & CountingFA2
3Venn Diagrams 3: Problem Solving · Conditional Probability 1: Tree Diagrams · Consolidation and Problem Solving 4 · Conditional Probability 2: Formulas & TablesFA3
Sets 4: Set-Builder Notation & Describing Regions · Venn Diagrams 4: Three-Set Venn Diagrams · Probability Trees 2: Without Replacement · Conditional Probability 3: Two-Way Tables & 'Given That' Questions
4Rearranging Formulae (Subject twice) · Transformations 1: Translations · Transformations 2: Reflections · REF: Unit Reflection & FeedbackFA4
Unit 2 · Form & Space
5Transformations 3: Rotations · Transformations 4: Enlargements · Transformations 5: Harder Enlargements · Transformations 6: Mixed TransformationsFA5 SA1
6Similarity 1: Similar Polygons · Consolidation & Problem Solving 1 · Half-term Test 3 (Transformations & Similarity) · REF: Unit Reflection & FeedbackFA6
7Direct Proportion · Inverse Proportion · Regions on Graphs 2: Harder Inequalities · REF: Unit Reflection & FeedbackFA7
8Parallel and Perpendicular Lines · Similarity 2: Area Scale Factors · Similarity 3: Volume Scale Factors · REF: Unit Reflection & FeedbackFA8
Similarity 4: Lengths, Areas & Volumes Together · Proportion 2: Forming Equations from Context · Regions on Graphs 3: Finding the Inequalities for a Region · Straight Lines 3: Perpendicular Lines & Perpendicular Bisectors
9Vectors 1: Column Vectors · Vectors 2: Vector Arithmetic · Vectors 3: Geometric Proofs · Consolidation and Problem Solving 5FA9
Vectors 4: Position Vectors & Dividing a Line in a Ratio · Vectors 5: Proving Points Are Collinear & Lines Parallel · Vectors 6: Exam-Style Vector Geometry · Transformations 7: Describing Combined Transformations Fully
10End-of-term Test 3 · Volume 2: Cone, Sphere & Pyramids · Circle Properties 1: Chord Properties · REF: Unit Reflection & FeedbackFA10 SA2
Unit 3 · Logic
11Circle Properties 2: Tangent Properties · Surface Area 3: Cone, Sphere, Frustums · The Sine Rule · The Cosine RuleFA11
12Harder Trigonometry Problems 1 · Harder Trigonometry Problems 2 · Area of a Triangle (½ ab sin C) · Circle Theorems 1: Angles in CircleFA12
13Circle Theorems 2: Tangents & Chords · Circle Theorems 3: Cyclic Quadrilaterals · Pythagoras in 3D · REF: Unit Reflection & FeedbackFA13
Trigonometry 5: Choosing the Sine or Cosine Rule & Bearings · Area of a Triangle 2: Finding a Side or Angle from the Area · Circle Theorems 4: The Alternate Segment Theorem · Circle Theorems 5: Giving Reasons in Multi-Step Problems
14Harder Trigonometry in 3D 1 · Harder Trigonometry in 3D 2 · Proof 1: Algebraic Proof · REF: Unit Reflection & FeedbackFA14
15Proof 2: Geometric Proof · Proof 3: Harder Algebraic Proofs · Sequences 2: Arithmetic Progressions · Sum of an Arithmetic SeriesFA15
Trigonometry in 3D 3: The Angle Between a Line and a Plane · Proof 4: Proofs with Consecutive, Odd & Even Integers · Sequences 3: Arithmetic Series — Finding n or the First Term · Sequences 4: Arithmetic Series in Context
Unit 3 → 4
16Unit 3 Consolidation (SA3 prep) · Algebraic Fractions 1: Simplifying · Algebraic Fractions 2: Operations · Algebraic Fractions 3: Solving EquationsFA16 FA17 SA3
Unit 4 · Relationships
17Algebraic Fractions 4: Complex Equations · Cubic and Reciprocal Graphs · Estimating Gradients 1: Tangents · Estimating Gradients 2: Rates of ChangeFA18
18Using Graphs to Solve Equations · Quadratic Simultaneous Equations 1 · Quadratic Simultaneous Equations 2 · Quadratic Simultaneous Equations 3FA19
Algebraic Fractions 5: Equations Leading to Quadratics · Graphs 3: Solving Equations from Cubic & Reciprocal Graphs · Estimating Gradients 3: Rates of Change in Context · Quadratic Simultaneous Equations 4: Solutions as Intersections
19Functions 1: Function Notation · Functions 2: Domain and Range · Functions 3: Composite Functions fg(x) · REF: Unit Reflection & FeedbackFA20
20Functions 4: Inverse Functions f⁻¹(x) · Completing the Square 2 · Quadratic Equations 4: Formula · Quadratic Equations 5: ContextFA21
Functions 5: Composite & Inverse Functions Together · Functions 6: Values to Exclude from the Domain · Completing the Square 3: Turning Points & Minimum Values · Quadratic Equations 7: Forming Quadratics from Area & Number Problems
21Quadratic Equations 6: Optimization · REF: Unit Reflection & Feedback · Quadratic Graphs 3: Turning Points · Quadratic Inequalities (algebra & graphs)FA22
22Trigonometric Graphs 1 (Sine & Cosine) · Trigonometric Graphs 2 (Tangent & Properties) · Graph Transformations 1: f(x)+a, f(x+a) · Graph Transformations 2: af(x), f(ax)FA23
23Graph Transformations 3: Combined · Differentiation 1: Power Rule · Half-term Test 5 (Calculus Focus) · Differentiation 2: Gradients of CurvesFA24
Differentiation: Rewriting as Powers of x First · Differentiation: Turning Points & the Shape of the Curve · Differentiation: Velocity & Acceleration · Differentiation: Rates of Change in Practical Problems
24Differentiation 3: Applications & Optimisation · Revision & Exam Technique · Summative Assessment 4 (SA4) · End-of-Year Review & ReflectionSA4

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.

Get the full editable scheme of work — free for teachers

What the course covers

Every syllabus point in plain English, with practice for each: Edexcel IGCSE Maths A (4MA1) syllabus checklist.