CLASS XI COURSE STRUCTURE (2025-26)
| CLASS XI COURSE STRUCTURE (2025-26) Three Hours | Max Marks: 80 | ||
|---|---|---|
| No. | Units | Marks |
| I. | Sets and Functions | 23 |
| II. | Algebra | 25 |
| III. | Coordinate Geometry | 12 |
| IV. | Calculus | 08 |
| V. | Statistics and Probability | 12 |
| Total | 80 | |
| Internal Assessment | 20 | |
UNIT-WISE DETAILED SYLLABUS
| UNIT I: SETS AND FUNCTIONS | |
| Chapter | Topics Covered |
|---|---|
| 1. Sets | Sets representation, Empty set, Finite/Infinite sets, Subsets, Intervals, Venn diagrams, Union, Intersection, Complement properties |
| 2. Relations & Functions | Ordered pairs, Cartesian product, Relations, Functions, Real valued functions, Function graphs, Sum/difference/product/quotient of functions |
| 3. Trigonometric Functions | Angles in radians/degrees, Trigonometric functions, Identities, sin(x±y), cos(x±y), Multiple angle formulas |
| UNIT II: ALGEBRA | |
| Chapter | Topics Covered |
|---|---|
| 1. Complex Numbers | Need for complex numbers, Argand plane, Algebraic properties |
| 2. Linear Inequalities | Algebraic solutions, Representation on number line |
| 3. Permutations & Combinations | Fundamental principle of counting, Factorial, nPr, nCr formulas |
| 4. Binomial Theorem | Binomial theorem for positive indices, Pascal’s triangle |
| 5. Sequence & Series | Arithmetic Mean, Geometric Progression, Infinite GP, Relation between AM & GM |
| UNIT III: COORDINATE GEOMETRY | |
| Chapter | Topics Covered |
|---|---|
| 1. Straight Lines | Slope of line, Angle between lines, Various forms of line equations, Distance from point to line |
| 2. Conic Sections | Circle, Ellipse, Parabola, Hyperbola, Standard equations and properties |
| 3. 3D Geometry | Coordinate axes/planes in 3D, Coordinates of point, Distance between points |
| UNIT IV: CALCULUS | |
| Chapter | Topics Covered |
|---|---|
| Limits & Derivatives | Derivative as rate of change, Intuitive idea of limit, Limits of functions, Definition of derivative, Derivatives of polynomial & trigonometric functions |
| UNIT V: STATISTICS AND PROBABILITY | |
| Chapter | Topics Covered |
|---|---|
| 1. Statistics | Measures of Dispersion: Range, Mean deviation, Variance, Standard deviation for ungrouped/grouped data |
| 2. Probability | Events, ‘not’, ‘and’, ‘or’ events, Exhaustive events, Mutually exclusive events, Axiomatic probability |
MATHEMATICS QUESTION PAPER DESIGN – CLASS XI (2025-26)
| Time: 3 hours | Max. Marks: 80 | ||
|---|---|---|
| S. No. | Typology of Questions | Marks & Weightage |
| 1. | Remembering & Understanding | 44 Marks (55%) |
| 2. | Applying | 20 Marks (25%) |
| 3. | Analysing, Evaluating & Creating | 16 Marks (20%) |
| TOTAL | 80 Marks (100%) | |
FORMATIVE ASSESSMENT TOPICS (Not for Summative)
| Topics for Formative Assessment Only (No Summative Assessment) | |
|---|---|
| Unit-I: Sets and Functions | • Practical problems on Union/Intersection • Composition of Functions • General solution of trigonometric equations |
| Unit-II: Algebra | • Principle of Mathematical Induction • Polar representation of complex numbers • Graphical solution of inequalities • General/middle term in binomial expansion • Special sum formulae |
| Unit-III: Coordinate Geometry | • Normal form of line • Section formula in 3D |
| Unit-IV: Calculus | • Derivatives of composite functions (Chain rule) |
| Unit-V: Statistics & Probability | • Random experiments, Sample space |
| INTERNAL ASSESSMENT – 20 MARKS | |
|---|---|
| Periodic Tests (Best 2 out of 3 tests) | 10 Marks |
| Mathematics Activities | 10 Marks |
| GRAND TOTAL (Theory + Internal) | 100 Marks |
| IMPORTANT NOTES |
|---|
| • No chapter-wise weightage. All chapters to be covered • 33% internal choice in all sections • Formative assessment topics reduce academic stress while ensuring meaningful learning • Schools should integrate formative topics with existing chapters |