CBSE Math RevisionCBSE Class 12 Maths scheme of work 2026-27
A complete plan for CBSE Class 12 Maths: 47 weeks, 145 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
The course at a glance
FA = a short formative check in that week; SA = an end-of-unit test.
47 weeks · 145 lessons · 7 unit tests (SA)
| Week | Lessons | Checks |
|---|---|---|
| Chapter 1 · Relations and Functions | ||
| 1 | Relations 1: Reflexive, symmetric and transitive relations · Relations 2: Equivalence relations and equivalence classes · Functions 1: One-one and onto functions · Functions 2: Bijections; counting relations and functions | |
| Chapter 2 · Inverse Trigonometric Functions | ||
| 2 | Inverse Trigonometric Functions 1: Principal value branches, domain and range · Inverse Trigonometric Functions 2: Principal values · Inverse Trigonometric Functions 3: Graphs of the inverse functions · Inverse Trigonometric Functions 4: Compositions and simplification | |
| Chapter 2 → 3 | ||
| 3 | Inverse Trigonometric Functions 5: Harder simplification · Matrices 1: Order, construction, types and equality · Matrices 2: Addition and scalar multiplication · Matrices 3: Matrix multiplication | |
| Chapter 3 · Matrices | ||
| 4 | Matrices 4: Properties of multiplication; matrix equations · Matrices 5: Transpose of a matrix · Matrices 6: Symmetric and skew-symmetric matrices · Matrices 7: Invertible matrices | |
| Chapter 4 · Determinants | ||
| 5 | Determinants 1: Evaluating determinants · Determinants 2: Area of a triangle · Determinants 3: Minors and cofactors · Determinants 4: Adjoint and inverse of a matrix | |
| 6 | Determinants 5: Results on adj A, A⁻¹ and |kA| · Determinants 6: Consistency of a system of linear equations · Determinants 7: Solving linear systems by the matrix method · Review and checkpoint: Chapters 1–4 | |
| Summer vacation | ||
| 7 | Summer vacation: no lessons. Holiday practice on Chapters 1–4 (Route to 95 steps 1–2) | |
| 8 | Summer vacation: no lessons. Holiday practice on Chapters 1–4 (Route to 95 steps 1–2) | |
| 9 | Summer vacation: no lessons. Holiday practice on Chapters 1–4 (Route to 95 steps 1–2) | |
| 10 | Summer vacation: no lessons. Holiday practice on Chapters 1–4 (Route to 95 steps 1–2) | |
| 11 | Summer vacation: no lessons. Holiday practice on Chapters 1–4 (Route to 95 steps 1–2) | |
| 12 | Summer vacation: no lessons. Holiday practice on Chapters 1–4 (Route to 95 steps 1–2) | |
| Chapter 5 · Continuity and Differentiability | ||
| 13 | Continuity 1: Continuity at a point and on an interval · Continuity 2: Finding a constant for continuity · Differentiability 1: Differentiability and continuity · Differentiability 2: The chain rule | |
| 14 | Differentiability 3: Derivatives of inverse trigonometric functions · Differentiability 4: Implicit differentiation · Differentiability 5: Exponential and logarithmic functions · Differentiability 6: Logarithmic differentiation | |
| School exams | ||
| 15 | Periodic Test 1 (school window: Chapters 1–4) · Test feedback: go over the paper and redo lost marks | PT1 |
| Chapter 5 → 6 | ||
| 16 | Differentiability 7: Parametric differentiation · Differentiability 8: Second-order derivatives · Application of Derivatives 1: Rate of change of quantities · Application of Derivatives 2: Increasing and decreasing functions | |
| Chapter 6 · Application of Derivatives | ||
| 17 | Application of Derivatives 3: Intervals of increase and decrease · Application of Derivatives 4: Local maxima and minima · Application of Derivatives 5: Absolute maxima and minima on a closed interval · Application of Derivatives 6: Optimisation problems | |
| Chapter 7 · Integrals | ||
| 18 | Integrals 1: Integration as the inverse of differentiation · Integrals 2: Integration by substitution · Integrals 3: Integrals using trigonometric identities · Integrals 4: Integrals of special forms | |
| 19 | Integrals 5: Special forms after completing the square · Integrals 6: Integration by partial fractions · Integrals 7: Integration by parts · Integrals 8: Integration by parts, harder cases | |
| 20 | Integrals 9: Definite integrals and the fundamental theorem of calculus · Integrals 10: Definite integrals by substitution · Integrals 11: Properties of definite integrals · Integrals 12: Properties of definite integrals (odd and even functions, a + b − x) | |
| Chapter 8 · Application of Integrals | ||
| 21 | Application of Integrals 1: Area under a curve (vertical strips) · Application of Integrals 2: Area using horizontal strips · Application of Integrals 3: Areas of circles and ellipses · Application of Integrals 4: Region bounded by a curve and a line | |
| Chapter 9 · Differential Equations | ||
| 22 | Differential Equations 1: Order and degree · Differential Equations 2: General and particular solutions · Differential Equations 3: Variables separable · Differential Equations 4: Homogeneous differential equations | |
| 23 | Differential Equations 5: Linear differential equations · Differential Equations 6: Linear equations in x (dx/dy form) · Differential Equations 7: Modelling with differential equations · Review and checkpoint: Calculus (Chapters 5–9) | |
| Half-yearly revision | ||
| 24 | Half-yearly revision 1: Relations, functions and inverse trigonometry · Half-yearly revision 2: Matrices and determinants · Half-yearly revision 3: Differentiation and its applications · Half-yearly revision 4: Integrals, areas and differential equations | |
| School exams | ||
| 25 | Half-yearly exam (school window) | HY |
| 26 | Half-yearly exam (school window, continued) · Exam feedback: go over the paper and redo lost marks | |
| Chapter 10 · Vector Algebra | ||
| 27 | Vectors 1: Magnitude, direction and types of vectors · Vectors 2: Direction cosines and direction ratios · Vectors 3: Addition, scalar multiples and the section formula · Vectors 4: Scalar (dot) product and projection | |
| Chapter 10 → 11 | ||
| 28 | Vectors 5: Vector (cross) product and area · Vectors 6: Mixed vector problems · Three Dimensional Geometry 1: Direction cosines and ratios of a line · Three Dimensional Geometry 2: Equation of a line (vector and Cartesian) | |
| Chapter 11 · Three Dimensional Geometry | ||
| 29 | Three Dimensional Geometry 3: Angle between two lines · Three Dimensional Geometry 4: Skew lines and the shortest distance · Three Dimensional Geometry 5: Distance between parallel lines · Three Dimensional Geometry 6: Foot of the perpendicular from a point to a line | |
| Chapter 12 · Linear Programming | ||
| 30 | Linear Programming 1: Terminology and formulation · Linear Programming 2: Feasible region and corner points · Linear Programming 3: Graphical solution, bounded region · Linear Programming 4: Unbounded regions, multiple optima and infeasibility | |
| Chapter 13 · Probability | ||
| 31 | Probability 1: Conditional probability · Probability 2: Multiplication theorem on probability · Probability 3: Independent events · Probability 4: Theorem of total probability | |
| 32 | Probability 5: Bayes' theorem · Probability 6: Random variables and probability distributions · Probability 7: Mean of a random variable · Review and checkpoint: Chapters 10–13 | |
| School exams | ||
| 33 | Periodic Test 2 (school window) · Test feedback: go over the paper and redo lost marks | PT2 |
| Revision | ||
| 34 | Revision 1: Case-study questions (Section E) · Revision 2: Calculus long answers (Section D) · Revision 3: Vectors and three-dimensional geometry · Revision 4: Linear programming and probability | |
| Internal assessment | ||
| 35 | Internal assessment window: the school's 20 internal-assessment marks (dates and tasks set by the school) · Revision 5: MCQ and assertion–reason technique (Section A) | IA |
| Revision | ||
| 36 | Revision 6: Full sample paper 1 (3 hours, no calculator) · Revision 7: Mark sample paper 1 and redo every lost mark · Revision 8: Integrals and differential equations · Revision 9: Matrices and determinants | |
| School exams | ||
| 37 | Pre-board exam 1 (school window) | PB1 |
| 38 | Pre-board exam 1 (school window, continued) · Pre-board feedback: list lost marks by chapter | |
| Revision | ||
| 39 | Revision 10: Fix pre-board 1 errors, Relations, functions and algebra · Revision 11: Fix pre-board 1 errors, Calculus · Revision 12: Fix pre-board 1 errors, Vectors, 3D, LPP and probability · Revision 13: Full sample paper 2 (timed) | |
| 40 | Revision 14: Mark sample paper 2 and redo lost marks · Revision 15: Section B and C short answers · Revision 16: Section D long answers · Revision 17: Section E case studies | |
| School exams | ||
| 41 | Pre-board exam 2 (school window) | PB2 |
| 42 | Pre-board exam 2 (school window, continued) · Pre-board feedback: list lost marks by chapter | |
| Revision | ||
| 43 | Revision 18: Fix pre-board 2 errors · Revision 19: Full sample paper 3 (timed) · Revision 20: Mark sample paper 3 and redo lost marks · Revision 21: Formula recall (derivatives, integrals, vectors) | |
| 44 | Revision 22: Full sample paper 4 (timed) · Revision 23: Mark sample paper 4 and redo lost marks · Revision 24: Calculus mixed practice · Revision 25: Algebra, vectors and 3D mixed practice | |
| 45 | Revision 26: Full sample paper 5 (timed) · Revision 27: Mark sample paper 5 and redo lost marks · Revision 28: Weakest chapter, steps 1–3 · Revision 29: Exam technique: timing, internal choices, presentation | |
| Final revision | ||
| 46 | Final revision 1: Formula sheet and standard results · Final revision 2: Light mixed practice · Study leave before the board exam (as the school decides) | |
| Board exams | ||
| 47 | Board exams (dates from CBSE's date sheet; the mathematics paper falls within the February to early April window) | BE |
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 teachersWhat the course covers
Every syllabus point in plain English, with practice for each: CBSE Class 12 Maths syllabus checklist.