Class 11 Biology
1.1 Overview
Time: 3 hrs, Max Marks. 100.
| Unit | Topic | Mark | Period |
|---|---|---|---|
| I. | Relations and Functions | 10 | 30 |
| II | Algebra | 10 | 30 |
| III | Calculus | 10 | 30 |
| IV | Vectors and 3-D Geometry | 10 | 30 |
| V | Linear Programming | 10 | 30 |
| VI | Probability | 10 | 30 |
1.2 Detailed Course Structure
1. Relations and Functions (15 Periods)
Types of relations:
- Reflexive relations
- Symmetric relations
- Transitive relations
- Equivalence relations.
Types of Functions:
- Composite functions
- Inverse of a function
- Binary operations
2. Inverse Trigonometric Functions (15 Periods)
- Definition
- Range
- Domain
- principal value branch.
- Graphs of inverse trigonometric functions
- Elementary properties of inverse trigonometric functions
1. Matrices (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
2. Determinants (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
1. Matrices (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
2. Determinants (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
1. Matrices (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
2. Determinants (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
1. Matrices (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
2. Determinants (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
1. Matrices (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
2. Determinants (25 Periods)
- Determinant of a square matrix (up to 3 x 3 matrices)
- Properties of determinants
- minors
- co-factors and applications of determinants in finding the area of a triangle.
- Adjoint and inverse of a square matrix
- Consistency, inconsistency and number of solutions of system of linear equations by examples
- Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
Mathematics (code-041) Question Paper Design Class-XI (2017-18)
| Topology of Questions | Very Short Answer | Short Answer | Long Answer I | Long Answer II | Marks | % Weightage |
|---|---|---|---|---|---|---|
| C.1. Relations | 2 | 2 | 2 | 1 | 20 | 20% |
| C.2 Inverse Trigonometric Functions | 2 | 2 | 2 | 1 | 20 | 20% |
| C.3 Matrices | 2 | 2 | 2 | 1 | 20 | 20% |
| C.4 Determinants | 2 | 2 | 2 | 1 | 20 | 20% |
| C.5 Continuity and Differentiability | 2 | 2 | 2 | 1 | 20 | 20% |
The entire syllabus is divided into 4 modules
| Module | Duration | Chapter Name | NCERT Book | Exemplar Book | Quick Summary & Formulas |
|---|---|---|---|---|---|
| Module 1 | 3 Months | C.1. Relations and Functions | Chapter | Chapter | Revision Sheet |
| C.2 Inverse Trigonometric Functions | Chapter | Chapter | Revision Sheet | ||
| C.3 Matrices | Chapter | Chapter | Revision Sheet | ||
| C.4 Determinants | Chapter | Chapter | Revision Sheet | ||
| Module 2 | 3.5 Months | C.5 Continuity and Differentiability | Chapter | Chapter | Revision Sheet |
| C.6 Applications of Derivatives | Chapter | Chapter | Revision Sheet | ||
| C.7 Integrals | Chapter | Chapter | Revision Sheet | ||
| C.8 Applications of the Integrals | Chapter | Chapter | Revision Sheet | ||
| C.9 Differential Equations | Chapter | Chapter | Revision Sheet | ||
| Module 3 | 2.5 Months | C.10 Vectors | Chapter | Chapter | Revision Sheet |
| C.11 Three - dimensional Geometry | Chapter | Chapter | Revision Sheet | ||
| C.12 Linear Programming | Chapter | Chapter | Revision Sheet | ||
| C.13 Probability | Chapter | Chapter | Revision Sheet | ||
| Module 4 | 2 Months | Revision & Full-Length Tests |
What we cover:
- Full Coverage of NCERT Text books and NCERT Exemplar Problems
- DPP for each corresponding chapter exercise (Covers all leading books – RD Sharma, RS Aggarwal, Together With etc)
- Chapter Revision Assignments (Based on Last 10 years question papers)
- Unit Revision Assignments (Based on Last 10 years question papers)
Performance Evaluation
- Initial performance analysis based last class report card
- 13 Chapter tests to cover each chapters
- 5 Unit tests to cover 5 Units
- 3 cumulative tests
- 10 Full Length tests – 5 Model Test Papers, 5 Last Year papers
Prescribed & Reference Books:
- Mathematics Part I - Textbook for Class XII, NCERT Publication
- Mathematics Part II - Textbook for Class XII, NCERT Publication
- Chapter Revision Assignments (Based on Last 10 years question papers)
- Mathematics Exemplar Problem for Class XII, Published by NCERT
NCERT SOLUTIONS -> CLASS 12->MATHS
| Chapter Name | NCERT Book | NCERT ANSWERS | NCERT SOLUTIONS | Quick Summary & Formulas |
|---|---|---|---|---|
| C.1. Relations and Functions | Chapter | Answer | Solution | Revision Sheet |
| C.2 Inverse Trigonometric Functions | Chapter | Answer | Solution | Revision Sheet |
| C.3 Matrices | Chapter | Answer | Solution | Revision Sheet |
| C.4 Determinants | Chapter | Answer | Solution | Revision Sheet |
| C.5 Continuity and Differentiability | Chapter | Answer | Solution | Revision Sheet |
| C.6 Applications of Derivatives | Chapter | Answer | Solution | Revision Sheet |
| C.7 Integrals | Chapter | Answer | Solution | Revision Sheet |
| C.8 Applications of the Integrals | Chapter | Answer | Solution | Revision Sheet |
| C.9 Differential Equations | Chapter | Answer | Solution | Revision Sheet |
| C.10 Vectors | Chapter | Answer | Solution | Revision Sheet |
| C.11 Three - dimensional Geometry | Chapter | Answer | Solution | Revision Sheet |
| C.12 Linear Programming | Chapter | Answer | Solution | Revision Sheet |
| C.13 Probability | Chapter | Answer | Solution | Revision Sheet |
EXEMPLAR SOLUTIONS -> CLASS 12->MATHS
| Chapter Name | EXEMPLAR Book | NCERT ANSWERS | Quick Summary & Formulas |
|---|---|---|---|
| C.1. Relations and Functions | Chapter | Answer | Revision Sheet |
| C.2 Inverse Trigonometric Functions | Chapter | Answer | Revision Sheet |
| C.3 Matrices | Chapter | Answer | Revision Sheet |
| C.4 Determinants | Chapter | Answer | Revision Sheet |
| C.5 Continuity and Differentiability | Chapter | Answer | Revision Sheet |
| C.6 Applications of Derivatives | Chapter | Answer | Revision Sheet |
| C.7 Integrals | Chapter | Answer | Revision Sheet |
| C.8 Applications of the Integrals | Chapter | Answer | Revision Sheet |
| C.9 Differential Equations | Chapter | Answer | Revision Sheet |
| C.10 Vectors | Chapter | Answer | Revision Sheet |
| C.11 Three - dimensional Geometry | Chapter | Answer | Revision Sheet |
| C.12 Linear Programming | Chapter | Answer | Revision Sheet |
| C.13 Probability | Chapter | Answer | Revision Sheet |