CBSE Class 10 Maths Syllabus
As per the CCE guidelines, the syllabus for class 9 and class 10 maths has been divided term wise. In each term, there will be formative assessments each carrying 10% of weightage and summative assessments each carrying 30% weightage. The Class 10 Maths Term 1 syllabus is listed below.
Unit – 1: Number Systems

Real Numbers
 Euclid’s division lemma
 Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples
 Proofs of results – irrationality of âˆš2, âˆš3, âˆš5, decimal expansions of rational numbers in terms of terminating/nonterminating recurring decimals.
Unit – 2: Algebra

Polynomials
 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
 Pair of linear equations in two variables and their graphical solution
 Geometric representation of different possibilities of solutions/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 must be included. Simple problems on equations reducible to linear equations may be included.
Unit – 3: Geometry

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 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.
 (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
 (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
 (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
 (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.
Unit – 4: Trigonometry

Introduction to Trigonometry
 Trigonometric ratios of an acute angle of a rightangled triangle.
 Proof of their existence (well defined)
 Forest and wild life, coal and petroleum conservation
 Motivate the ratios, whichever are defined at 0Â° and 90Â°
 Values (with proofs) of the trigonometric ratios of 30Â°, 45Â° and 60Â°.
 Relationships between the ratios.

Trigonometric Identities
 Proof and applications of the identity sin2A + cos2A = 1 (Only simple identities to be given).
 Trigonometric ratios of complementary angles
Unit – 5: Statistics and Probability

Statistics
 Mean, median and mode of grouped data (bimodal situation to be avoided).
 Cumulative frequency graph
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