# CBSE NCERT Class 10 Math Syllabus

CBSE NCERT Class 10 Syllabus 2022 – 23 For Class 10 Math Download Online CBSE Syllabus Class 10 Math Syllabus As per NCERT Guidelines.

### CBSE पाठ्यक्रम 10th Class Math As Per NCERT

सीबीएसई बोर्ड 10वीं गणित सिलेबस 2022 | CBSE Syllabus 2022 | CBSE NCERT Math Syllabus for Class X | CBSE NCERT Class 10 Math Syllabus www.ncert.nic.in

CBSE Latest Syllabus for Class 10 Math is important for students to prepare their study time to time. Here we are provided New Edition CBSE NCERT Syllabus 2022. Stay tuned with Us for Get All Subjects Solution (RS Aggarwal Solution, Lakhmir Singh Manjit Kaur Solution).

### Course Structure Class X Math Syllabus 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 II: 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 number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots.

Situational problems based on quadratic equations related to day to day activities to be incorporated.

4.) ARITHMETIC PROGRESSIONS (10) Periods

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 III: COORDINATE GEOMETRY

Coordinate Geometry (15) Periods

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

UNIT IV: GEOMETRY

1.) TRIANGLES (15) Periods

Definitions, examples, 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 (10) Periods Tangent to a circle at, 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 V: 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 300 , 450 and 600. Relationships between the ratios.

2.) TRIGONOMETRIC IDENTITIES

Proof and applications of the identity sin2A + cos2A = 1. Only simple  identities to be given.

3.) HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10)Periods 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 VI: 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 area of segment of a circle, problems should be restricted to central angle 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 VII: 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 on finding the probability of an event.

### CBSE NCERT Class 10 Math Syllabus 2022 2023

• Chapter 1 : Real Numbers
• Chapter 2 : Polynomials
• Chapter 3 : Pair of Linear Equations in Two Variable
• Chapter 4 : Quadratic Equations
• Chapter 5 : Arithmetic Progressions
• Chapter 6 : Triangles
• Chapter 7 : Coordinate Geometry
• Chapter 8 : Introduction to Trigonometry
• Chapter 9 : Some Applications of Trigonometry
• Chapter 10 : Circles
• Chapter 11 : Constructions
• Chapter 12 : Areas Related to Circles
• Chapter 13 : Surface Areas and Volumes
• Chapter 14 : Statistics
• Chapter 15 : Probability