Maths Syllabus for Grade-10

1Real NumbersReal Numbers, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Revisiting Irrational Numbers, Revisiting rational Numbers and their Decimal Expansions 
2TrigonometryIntroduction to Trigonometry, Trigonometric Ratios, Some Specific Angles, Complementary Angles 
  Trigonometrical Identities. 
3Heights and DistancesConcept of Angle of Elevation, Angle of Depression, Heights and Distances. 
4PolynomialsGeometrical Meaning of zeroes of a Polynomial, Relationship between Zeroes and coefficients of a polynomial, Division Algorithm. 
5ProbabilityProbability – A Theoretical Approach 
6CirclesTheorems based on Tangent properties of a circle. 
 7 TrianglesSimilar Figures, Similarity of Triangles and its criteria, Area of similar Triangles, Pythagoras Theorem Activity on Similarity
8Pair of Linear Equations in Two variablesGraphical Method of Solution of a pair of Linear equations, Algebraic Methods (Substitution Method, Elimination Method, Cross- multiplication)Conditions of Consistency and Inconsistency of a Pair of Linear Equations in Two Variables
9StatisticsCalculation of Mean, Median, and Mode for grouped frequency distribution, Ogive 
 10ConstructionsDivision of a line segment, Construction of similar triangles according to scale factor, Construction of Tangents to a Circle from an external point. 
 11Arithmetic ProgressionIdentification of a series as A.P., nth term of an A.P., Sum of first n terms of an A.P. 
 12Coordinate GeometryDistance Formula, Section Formula, Area of TrianglesDerivation of formula for sum of first ‘n’ natural numbers
13Quadratic EquationSolution of a quadratic Equation by graphical method, 
 13Quadratic Equation contdFactorization, Method of Completing Squares, Quadratic Equation Formula. Determining Nature of Roots. 
 14Area Related to CirclesFinding area and perimeter of Shaded portions using Sector Formula, Segment formula. 
 15Surface Area & VolumesSurface Area and Volume of a combination of figures- cube, cuboid, cylinder, sphere, and cone. Frustum REVISION