UNIT | TOPIC | SUBTOPIC | ACTIVITY |
1 | Real Numbers | Real Numbers, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Revisiting Irrational Numbers, Revisiting rational Numbers and their Decimal Expansions | |
2 | Trigonometry | Introduction to Trigonometry, Trigonometric Ratios, Some Specific Angles, Complementary Angles | |
Trigonometrical Identities. | |||
3 | Heights and Distances | Concept of Angle of Elevation, Angle of Depression, Heights and Distances. | |
4 | Polynomials | Geometrical Meaning of zeroes of a Polynomial, Relationship between Zeroes and coefficients of a polynomial, Division Algorithm. |
5 | Probability | Probability – A Theoretical Approach | |
6 | Circles | Theorems based on Tangent properties of a circle. | |
7 | Triangles | Similar Figures, Similarity of Triangles and its criteria, Area of similar Triangles, Pythagoras Theorem | Activity on Similarity |
8 | Pair of Linear Equations in Two variables | Graphical 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 |
9 | Statistics | Calculation of Mean, Median, and Mode for grouped frequency distribution, Ogive |
10 | Constructions | Division of a line segment, Construction of similar triangles according to scale factor, Construction of Tangents to a Circle from an external point. | |
11 | Arithmetic Progression | Identification of a series as A.P., nth term of an A.P., Sum of first n terms of an A.P. | |
12 | Coordinate Geometry | Distance Formula, Section Formula, Area of Triangles | Derivation of formula for sum of first ‘n’ natural numbers |
13 | Quadratic Equation | Solution of a quadratic Equation by graphical method, | |
13 | Quadratic Equation contd | Factorization, Method of Completing Squares, Quadratic Equation Formula. Determining Nature of Roots. |
14 | Area Related to Circles | Finding area and perimeter of Shaded portions using Sector Formula, Segment formula. | |
15 | Surface Area & Volumes | Surface Area and Volume of a combination of figures- cube, cuboid, cylinder, sphere, and cone. Frustum REVISION |