# CBSE Class 11 Maths Syllabus for 2022-23 (Term 1 & 2) PDF Download

Read class 11 maths syllabus carefully to score high marks to obtain rank in Class 11 Final examination. Bright, meritorious students can make their preparation more stronger by making a study plan according to the latest class 11 maths NCERT syllabus. The 11th class Maths Syllabus is divided into two terms, each term containing 5 units. The tests will moreover be driven in two segments. The term quick CBSE Class 11 Maths Syllabus is a critical resource for understudies that help them in test availability. It gives the nuances on the course structure, test model, and marks weightage of Mathematics subject for Term 1 and Term 2 test.

Before preparing for the Class 11 Maths test, aspiring students should go through the plan to know what they will pursue for the 2022-23 educational year. CBSE class 11 maths syllabus will help students to make an effective preparation plan. They can quickly analyse the core of the subject that they have covered and the focuses they need to wrap up.

In the wake of knowing the class 11th mathematics syllabus, students can without a very remarkable stretch make a survey arrangement for themselves. Properly, they can make the test method and beneficially plan for the Term 1 and Term 2 Maths Class 11 tests.

Mathematics makes sagacious and issues settling capacities among the students. It is a scoring subject for students. Students can even score full marks in mathematics by following this term-wise CBSE Class 11 Maths Syllabus for 2022-23.

## CBSE NCERT Class 11 Maths Syllabus 2022-23

### Unit-I: Sets and Functions

#### 1. Sets(20 periods)

Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.

#### 2. Relations and Functions(20 periods)

Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R).Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.

#### 3. Trigonometric Functions (20 Periods)

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:

### Unit-II: Algebra

#### 1. Complex Numbers and Quadratic Equations (10 Period)

Need for complex numbers, especially√−1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane.

#### 2. Linear Inequalities (10 Periods)

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.

#### 3. Permutations and Combinations (10 Periods)

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.

#### 4. Binomial Theorem (10 Periods)

Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.

#### 5. Sequence and Series (10 Periods)

Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M

### Unit-III: Coordinate Geometry

#### 1. Straight Lines(15 Period)

Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form, two-point form, intercept form, Distance of a point from a line.

#### 2. Conic Sections (25 Periods)

Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

#### 3. Introduction to Three-dimensional Geometry (10 Periods)

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.

### Unit-IV: Calculus

#### 1. Limits and Derivatives (40 Periods)

Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

### Unit-V Statistics and Probability

#### 1. Statistics (20 Periods)

Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.

#### 2. Probability (20 Periods)

Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

## QUESTION PAPER DESIGN

S.No. | Typology of Questions | Marks | Percentage |

1 | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 44 | 55 |

2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 20 | 25 |

3 | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations. Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 16 | 20 |

Total | 80 | 100 |

## Class 11 Maths Marks & Period Distribution 2022-23

CBSE plan for class 11 Maths is isolated into 5 units. The table under shows the units, no. of periods, and engravings distributed for term 1. The Maths theory paper of term 1 is of 40 Marks and the inward assessment is 10 Marks.

No. | Unit | Marks | Period |

1 | Sets & Functions | 23 | 60 |

2 | Algebra | 25 | 50 |

3 | Coordinate Geometry | 12 | 50 |

4 | Calculus | 08 | 40 |

5 | Statistics and Probability | 12 | 40 |

Total | 80 | 240 | |

Internal Assessment | 20 |

## Download PDF of CBSE NCERT Class 11 Maths Syllabus 2022-23

Download this PDF of the class 11 maths syllabus so that you can read it whenever and wherever you want.

## Final Words

The CBSE class 11 maths syllabus for the Term 1 & Term 2 of 2022-23 helps the young brimming and meritorious Maths students for obtaining a high score with rank in the Final examination. Class 11 Maths students must practice their NCERT questions by following this latest class 11 maths syllabus. The qualified and experienced Maths Faculties of Vidya Setu assure 100% cooperation and support to the bright and aspiring students of Maths for career development and to study far as the sky’s the limit.

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