UK Curriculum · Year 13 Maths · A-Level

Year 13 Maths Lesson Plan & Curriculum Map

A full-year Year 13 maths scheme of work aligned to the UK National Curriculum (A-Level · Key Stage 5). Week-by-week lessons for 1, 2 or 3 days a week, covering pure mathematics, statistics, mechanics, targeted revision and exam preparation.

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Year 13 Maths learning map

Choose a term, then compare a lighter weekly plan with a more intensive schedule.

1 day/week · steady pace2–3 days/week · guided practice
September · Pure Mathematics

Year 13 Maths — September Lesson Plan

UK National Curriculum · Maths
Week1 Day/Week2 Day/Week3 Day/Week
September 1st week
(Pure Mathematics)		Pure Mathematics 1: Algebraic Methods (Partial Fractions)Pure Mathematics 1: Algebraic Methods (Partial Fractions) 2: Functions & InversesPure Mathematics 1: Algebraic Methods (Partial Fractions) 2: Functions & Inverses 3: Exponentials & Logarithms (Advanced Applications)
September 2nd week
(Pure Mathematics)		Pure Mathematics 2: Functions & InversesPure Mathematics 3: Exponentials & Logarithms (Advanced Applications) 4: Trigonometric Identities & Equations (Advanced)Pure Mathematics 4: Trigonometric Identities & Equations (Advanced)
September 3rd week
(Pure Mathematics)		Pure Mathematics 3: Exponentials & Logarithms (Advanced Applications)R: Cumulative Review Worksheets & QuizR: Cumulative Review Worksheets & Quiz
September 4th week
(Pure Mathematics)		Pure Mathematics 4: Trigonometric Identities & Equations (Advanced)E: Enrichment Activities & Cumulative PracticeE: Enrichment Activities & Cumulative Practice
October · Pure Mathematics

Year 13 Maths — October Lesson Plan

UK National Curriculum · Maths
Week1 Day/Week2 Day/Week3 Day/Week
October 1st week
(Pure Mathematics)		Pure Mathematics 1: Parametric EquationsPure Mathematics 1: Parametric Equations 2: Differentiation (Implicit & Parametric)Pure Mathematics 1: Parametric Equations 2: Differentiation (Implicit & Parametric) 3: Numerical Methods (Root Approximation Techniques)
October 2nd week
(Pure Mathematics)		Pure Mathematics 2: Differentiation (Implicit & Parametric)Pure Mathematics 3: Numerical Methods (Root Approximation Techniques) 4: Chapter Review & QuizPure Mathematics 4: Chapter Review & Quiz
October 3rd week
(Pure Mathematics)		Pure Mathematics 3: Numerical Methods (Root Approximation Techniques)R: Cumulative Review Worksheets & QuizR: Cumulative Review Worksheets & Quiz
October 4th week
(Pure Mathematics)		Pure Mathematics 4: Chapter Review & QuizE: Enrichment Activities & Cumulative PracticeE: Enrichment Activities & Cumulative Practice
November · Statistics

Year 13 Maths — November Lesson Plan

UK National Curriculum · Maths
Week1 Day/Week2 Day/Week3 Day/Week
November 1st week
(Statistics & Pure Mathematics)		Statistics 1: Probability Distributions (Normal Distribution)Statistics 1: Probability Distributions (Normal Distribution) 2: Hypothesis Testing with the Normal DistributionStatistics 1: Probability Distributions (Normal Distribution) 2: Hypothesis Testing with the Normal Distribution 3: Chapter Review & Quiz
November 2nd week
(Statistics & Pure Mathematics)		Statistics 2: Hypothesis Testing with the Normal DistributionStatistics 3: Chapter Review & Quiz Pure Mathematics 1: Integration (By Parts, Using Substitution)Pure Mathematics 1: Integration (By Parts, Using Substitution)
November 3rd week
(Statistics & Pure Mathematics)		Statistics 3: Chapter Review & QuizR: Cumulative Review Worksheets & QuizR: Cumulative Review Worksheets & Quiz
November 4th week
(Statistics & Pure Mathematics)		Pure Mathematics 1: Integration (By Parts, Using Substitution)E: Enrichment Activities & Cumulative PracticeE: Enrichment Activities & Cumulative Practice
December · Pure Mathematics

Year 13 Maths — December Lesson Plan

UK National Curriculum · Maths
Week1 Day/Week2 Day/Week3 Day/Week
December 1st week
(Pure Mathematics)		Pure Mathematics 1: Differential Equations (Basic First Order)Pure Mathematics 1: Differential Equations (Basic First Order) 2: Further Trigonometry (Double Angle, Product-to-Sum)Pure Mathematics 1: Differential Equations (Basic First Order) 2: Further Trigonometry (Double Angle, Product-to-Sum) 3: Vectors in 3D
December 2nd week
(Pure Mathematics)		Pure Mathematics 2: Further Trigonometry (Double Angle, Product-to-Sum)Pure Mathematics 3: Vectors in 3D 4: Chapter Review & QuizPure Mathematics 4: Chapter Review & Quiz
December 3rd week
(Pure Mathematics)		Pure Mathematics 3: Vectors in 3DR: Cumulative Review Worksheets & QuizR: Cumulative Review Worksheets & Quiz
December 4th week
(Pure Mathematics)		Pure Mathematics 4: Chapter Review & QuizE: Enrichment Activities & Cumulative PracticeE: Enrichment Activities & Cumulative Practice
The learning framework

Anatomy of a focused lesson

Each session moves from a clear focus to guided practice and a quick check for understanding.

10 minutes

Recall and connect

Open with prerequisite questions that connect the week’s pure, statistics or mechanics topic to earlier work.

25 minutes

Derive and apply

Develop the method or proof, then apply it to A-Level style problems with tutor feedback.

10 minutes

Check for mastery

Finish with an exam-style question that shows progress towards top-grade answers.

Student learning toolkit

Resources for Year 13 Maths

Concept lessons

Focused lessons on pure maths, calculus, statistics and mechanics.

Exam practice

A-Level style questions, timed tasks and full paper practice matched to the plan.

Worked solutions

Step-by-step solutions that model clear mathematical communication.

Progress notes

Detailed feedback on method and accuracy, with clear next steps for each unit.

Free first lesson

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