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CBSE 10 2023-2024 Mathematics Syllabus

CBSE 10 2023-2024 Mathematics Syllabus - Coding Bihar

CBSE 10 Math Syllabus


CBSE 10 Mathematics

Syllabus

                                                        Total Marks 80

NUMBER SYSTEMS                   06

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

ALGEBRA                               20

POLYNOMIALS 

👉  Zeros of a polynomial. 

👉  Relationship between zeros and coefficients of quadratic polynomials.

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.

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 quadratic formula.

👉  Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

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.

GEOMETRY                            15

TRIANGLES

👉  Definitions, examples, counter examples of similar triangles.

👉 (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.

👉 (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

👉 (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

👉 (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.

👉 (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.

CIRCLES

👉  Tangent to a circle at, point of contact

👉 (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

👉 (Prove) The lengths of tangents drawn from an external point to a circle are equal.

COORDINATE GEOMETRY     06

Coordinate Geometry 

👉  Review: Concepts of coordinate geometry, graphs of linear equations.

👉  Distance formula. Section formula (internal division)

TRIGONOMETRY                  12


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.

TRIGONOMETRIC IDENTITIES

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

HEIGHTS AND 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°.

MENSURATION                     10 


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.

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.

STATISTICS AND PROBABILITY  11

STATISTICS

👉  Mean, median and mode of grouped data (bimodal situation to be avoided).

PROBABILITY

👉  Classical definition of probability. 

👉  Simple problems on finding the probability of an event.

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 Sandeep Gupta

Posted by Sandeep Gupta

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