CBSE Class 10 Mathematics Syllabus (2024-25) – Dynamic Course Structure

The Class 10th Mathematics syllabus for NCERT (National Council of Educational Research and Training) is designed to provide students with a solid foundation in mathematical concepts and skills. The syllabus is structured to enhance logical thinking, problem-solving abilities, and analytical skills. Below is an overview of the contents and syllabus for Class 10th NCERT Mathematics:

Course Structure

Units	Unit Name	Marks
I	Number Systems	06
II	Algebra	20
III	Coordinate Geometry	06
IV	Geometry	15
V	Trigonometry	12
VI	Mensuration	10
VII	Statistics & Probability	11
	Total	80

Unit 1: Number Systems

1. Real Numbers
   • Euclid’s Division Lemma
   • The Fundamental Theorem of Arithmetic
   • Revisiting Irrational Numbers
   • Revisiting Rational Numbers and Their Decimal Expansions

Unit 2: Algebra

1. Polynomials
   • Zeros of a Polynomial
   • Relationship Between Zeros and Coefficients of a Polynomial
   • Division Algorithm for Polynomials
2. Pair of Linear Equations in Two Variables
   • Graphical Method of Solution
   • Algebraic Methods of Solving Linear Equations (Substitution, Elimination, Cross-Multiplication)
   • Equations Reducible to Linear Form
3. Quadratic Equations
   • Introduction to Quadratic Equations
   • Solution of Quadratic Equations by Factorization and Completing the Square
   • Nature of Roots
4. Arithmetic Progressions
   • Introduction to Arithmetic Progressions
   • nth Term and Sum of n Terms of an AP

Unit 3: Coordinate Geometry

1. Lines (In two dimensions)
   • Concepts of Coordinate Geometry
   • Graphs of Linear Equations
   • Distance Formula
   • Section Formula (Internal Division)
   • Area of a Triangle

Unit 4: Geometry

1. Triangles
   • Similar Figures
   • Similarity of Triangles
   • Criteria for Similarity of Triangles
   • Areas of Similar Triangles
   • Pythagoras Theorem
2. Circles
   • Tangent to a Circle
   • Number of Tangents from a Point on a Circle
3. Constructions
   • Division of a Line Segment
   • Construction of Tangents to a Circle
   • Construction of a Triangle Similar to a Given Triangle

Unit 5: Trigonometry

1. Introduction to Trigonometry
   • Trigonometric Ratios
   • Trigonometric Ratios of Some Specific Angles
   • Trigonometric Ratios of Complementary Angles
   • Trigonometric Identities
2. Applications of Trigonometry
   • Heights and Distances

Unit 6: Mensuration

1. Areas Related to Circles
   • Perimeter and Area of a Circle
   • Areas of Sector and Segment of a Circle
   • Areas of Combinations of Plane Figures
2. Surface Areas and Volumes
   • Surface Area and Volume of Solids (Cuboid, Cube, Cylinder, Cone, Sphere, Hemisphere)

Unit 7: Statistics and Probability

1. Statistics
   • Mean, Median, Mode of Grouped Data
   • Cumulative Frequency Graph (Ogive)
2. Probability
   • Classical Definition of Probability
   • Simple Problems on Single Events

The syllabus is subject to minor variations depending on the specific guidelines issued by the CBSE (Central Board of Secondary Education) or other state boards that follow the NCERT curriculum.