Class 10
NCERT SYLLABUS FOR CLASS 10 MATH
The content of Class 10 Mathematics is designed keeping this in mind. The concepts of trigonometry and quadratic equations are introduced in this grade.
| Chapter 1: Real Numbers | |
| 1.1 Decimal Expansions of Real Numbers | |
| 1.2 Euclid’s Division Lemma | |
| 1.3 The Fundamental Theorem of Arithmetic | |
| Chapter 2: Polynomials | |
| 2.1 Division Algorithm for Polynomials. | |
| 2.2 Geometrical Meaning of the Zeroes of a Polynomial. | |
| 2.3 Relationship Between Zeroes and Coefficients of a Polynomial. | |
| Chapter 3: Pair of Linear Equations in Two Variables | |
| 3.1 Cross-Multiplication Method to Solve a Pair of Linear Equations. | |
| 3.2 Elimination Method to Solve a Pair of Linear Equations. | |
| 3.3 Equation Pairs: Reducing to Linear Form | |
| 3.4 Graphical Method of Solution of a Pair of Linear Equations | |
| 3.5 Substitution Method to Solve a Pair of Linear Equations | |
| Chapter 4: Quadratic Equations | |
| 4.1 Introduction to Quadratic Equations | |
| 4.2 Nature of Roots | |
| 4.3 Solution of a Quadratic Equation by Completing the Square | |
| 4.4 Solution of a Quadratic Equation by Factorisation | |
| Chapter 5: Arithmetic Progressions | |
| 5.1 General Term of an Arithmetic Progression | |
| 5.2 Introduction to Arithmetic Progression | |
| 5.3 Sum of First n Terms of an Arithmetic Progression | |
| Chapter 6: Triangles | |
| 6.1 Areas of Similar Triangles | |
| 6.2 Basic Proportionality Theorem | |
| 6.3 Criteria for Similarity of Triangles | |
| 6.4 Pythagoras Theorem | |
| 6.5 Similar Figures | |
| Chapter 7: Coordinate Geometry | |
| 7.1 Area of a Triangle | |
| 7.2 Distance Formula | |
| 7.3 Section Formula | |
| Chapter 8: Introduction to Trigonometry | |
| 8.1 Trigonometric Identities | |
| 8.2 Trigonometric Ratios | |
| 8.3 Trigonometric Ratios of Complementary Angles | |
| 8.4 Trigonometric Ratios of Some Specific Angles | |
| Chapter 9: Some Applications of Trigonometry | |
| 9.1 Heights and Distances | |
| Chapter 10: Circles | |
| 10.1 Tangent to a Circle | |
| 10.2 Tangents from a Point on a Circle | |
| Chapter 11: Constructions | |
| 11.1 Construction of Tangents to a Circle | |
| 11.2 Division of a Line Segment | |
| Chapter 12: Areas Related to Circles | |
| 12.1 Area of a Combination of Plane Figures | |
| 12.2 Circle: Perimeter and Area | |
| 12.3 Sector and Segment of Circle | |
| Chapter 13: Surface Areas and Volumes | |
| 13.1 Conversion of Solids from One Shape to Another | |
| 13.2 Frustum of a Cone | |
| 13.3 Surface Area of a Combination of Solids | |
| 13.4 Volume of a Combinations of Solids | |
| Chapter 14: Statistics | |
| 14.1 Area of a Triangle | |
| 14.2 Distance Formula | |
| 14.3 Section Formula | |
| Chapter 15: Probability | |
| 15.1 Graphical Representation of Cumulative Frequency Distribution | |
| 15.2 Mean of Grouped Data | |
| 15.3 Mode and Median of Grouped Data | |
| 15.4 Relation Between Central Tendencies |