CBSE Class X Mathematics (Code No. 041) Syllabus 2018-19. Check out CBSE Class 10th Mathematics Syllabus, CBSE Class 10th Mathematics Previous year question papers, CBSE Class 10th Mathematics Sample Papers. Check out CBSE Class 10th Syllabus and Past Papers of other CBSE Class 10th Course CBSE Class 10th Science Syllabus 2018-19 and Past Papers, CBSE Class 10th Mathematics Syllabus 2018-19 and Past Papers, CBSE Class 10th English Language And Literature Syllabus 2018-19 and Past Papers, CBSE Class 10th English Communicative Syllabus 2018-19 and Past Papers, CBSE Class 10th Social Science Syllabus 2018-19 and Past Papers or check out CBSE Class 10th Previous Year Question Papers and Sample Papers Solved. Continue to read for CBSE Class 10th Syllabus Mathematics.
Euclid’s division lemma, Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of 2, 3, 5 Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
POLYNOMIALS (7 Periods)
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15 Periods)
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 and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.
QUADRATIC EQUATIONS (15 Periods)
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square 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 (8 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.
LINES (In two-dimensions) (14) Periods
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
TRIANGLES (15) Periods
Definitions, examples, counter examples of similar triangles.
CIRCLES (8) Periods
Tangent to a circle at, point of contact
CONSTRUCTIONS (8) Periods
INTRODUCTION TO TRIGONOMETRY (10) Periods
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 (with proofs) of the trigonometric ratios of 30O, 45O and 60O. Relationships between the ratios.
TRIGONOMETRIC IDENTITIES (15) Periods
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
HEIGHTS AND DISTANCES: (8) Periods
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 30O, 45O, 60O.
AREAS RELATED TO CIRCLES (12) Periods
Motivate the area of a circle; 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. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
SURFACE AREAS AND VOLUMES (12) Periods
STATISTICS (18) Periods
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
PROBABILITY (10) Periods
Classical definition of probability. Simple problems on single events (not using set notation).
Mathematics (Code No. 041) board examination duration is 3 hrs and is of Marks: 80 .
Note: One of the LA will be to assess the values inherent in the texts.
INTERNAL ASSESSMENT 20 Marks
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