### Maths Syllabus Class 10 CBSE 2022-2023

Today you will get the information about the maths syllabus class 10 CBSE for the session 2022-2023 in detail.

This CBSE maths syllabus class 10 is published for those students, who recently started the preparation for the upcoming examination and did not get the syllabus.

If you are one of them then this is for you.

You will get the proper information about the 'maths syllabus class 10' in this post to get genuine and authentic guidelines for study.

This will help you to know, what you have to learn and what to escape.

For your information, class 10 maths subjects include these courses for study - Number Systems, Algebra, Coordinate Geometry, Geometry, Mensuration, Statistics, Trigonometry, and Probability.

This revised CBSE class 10 math syllabus 2022-23 has been designed according to the NCF 2005.

The basic guidelines for the teaching of math, which is to meet the needs of all categories of students.

The CBSE board's main objective is to issue this 10 maths syllabus to help the learners for the next level of learning.

The other objectives of this subject learning are - to develop skills, provide basic concepts, develop algebra, and drawing, skills, improve the skills to solve problems, develop the ability to think, analyze and articulate logically, etc.

Now come to the point.

If your university has issued a new syllabus that is not matched this one. Please proceed with your university.

## CBSE Class 10 Math Syllabus 2022 23

### Updated CBSE Mathematics Syllabus For Class 10

#### Unit-1: Number Systems

• 1. Real Number:- Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, proofs of irrationality of √2 √3 √5.

#### Unit-2: Algebra

• 1. Polynomials - Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
• 2. Pair Of Linear Equations In Two Variables - Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for the number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination. Simple situational problems.
• 3. Quadratic Equations - Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using the quadratic formulas. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day-to-day activities are to be incorporated.
• 4. Arithmetic Progressions - Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

#### Unit-3: Coordinate Geometry

• Coordinate Geometry Review:-  Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

#### Unit-4: Geometry

• 1. Triangles:- Definitions, examples, and counter examples of similar triangles. (1) (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. (2) (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. (3) (Motivate) If, in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. (4) (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. (5) (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
• 2. Circles:- Tangent to a circle at, the point of contact. (1) (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. (2) (Prove) The lengths of tangents drawn from an external point to a circle are equal.

#### Unit-5: Trigonometry

• 1. Introduction To Trigonometry:- Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 30°, 45°, and 60°. Relationships between the ratios.
• 2. Trigonometric Identities:- Proof and applications of the identity sin2A + cos2A = 1. Only simple identities are to be given.
• 3. Heights & Distances:- Angle of elevation, Angle of Depression. - Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, and 60°.

#### Unit-6: Mensuration

• 1. Areas Related To Circles- Area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to the central angles of 60°, 90°, and 120° only.
• 2. Surface Areas And Volumes- Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones.

#### Unit-7: Statistics And Probability

• 1. Statistics- Mean, median, and mode of grouped data (bimodal situation to be avoided).
• 2. Probability- Classical definition of probability. Simple problems in finding the probability of an event.

## Class 10 Maths Book

### Class 10 Maths NCERT Book (Prescribed Books For You)

• 1. Mathematics - Textbook for class IX - NCERT Publication
• 2. Mathematics - Textbook for class X - NCERT Publication
• 3. Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication
• 4. Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
• 5. Laboratory Manual - Mathematics, secondary stage - NCERT Publication
• 6. Mathematics exemplar problems for class IX, NCERT publication.
• 7. Mathematics exemplar problems for class X, NCERT publication.

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