A Basic Introduction to Class 10 Maths Index
We all enjoy Maths both as a subject as well as a learning point of view. It always tests our application capabilities and makes us good problem solvers. In Class 10th, Maths takes some interesting turns as a subject by adding some new chapters such as trigonometry. In this article, we are going to learn about the chapters present in Class 10th Maths NCERT in detail. The NCERT Maths book for Class 10 has its index given below.
Chapters
Class 10 Maths all chapter names are given below with proper description of sub topics.
Chapter - 1: Real Numbers
1.1 Introduction
1.2 Euclid’s Division Lemma
1.3 The Fundamental Theorem of Arithmetic
1.4 Revisiting Irrational Numbers
1.5 Revision of Rational Numbers with Their Decimal Expansions
1.6 Summary
Chapter - 2: Polynomials
2.1 Introduction
2.2 Zeroes of a Polynomial - Geometrical Meaning
2.3 Relationship between Zeroes and Coefficients of a Polynomial
2.4 Division Algorithm for Polynomials
2.5 Summary
Chapter - 3: Pair of Linear Equations in Two Variables
3.1 Introduction
3.2 A Pair of Linear Equations in Two Variables
3.3 Graphical Method Solution for a Pair of Linear Equations
3.4 Algebraic Methods of Solving a Pair of Linear Equations
3.4.1 Substitution Method
3.4.2 Elimination Method
3.4.3 Cross-Multiplication Method
3.5 Equations Reducible to a Pair of Linear Equations in Two Variables
3.6 Summary
Chapter - 4: Quadratic Equations
4.1 Introduction
4.2 Quadratic Equations
4.3 Solving a Quadratic Equation using Factorisation
4.4 Solution of a Quadratic Equation by Completing the Square
4.5 Nature of Roots
4.6 Summary
Chapter - 5: Arithmetic Progressions
5.1 Introduction
5.2 Arithmetic Progressions
5.3 nth term of an AP
5.5 The Sum of First n terms of an AP
5.6 Summary
Chapter - 6: Triangles
6.1 Introduction
6.2 Similar Figures
6.3 Similarity of Triangles
6.4 Criteria for Similarity of Triangles
6.5 Areas of Similar Triangles
6.6 Pythagoras Theorem
6.7 Summary
Chapter - 7: Coordinate Geometry
7.1 Introduction
7.2 Distance Formula
7.3 Section Formula
7.4 Area of a Triangle
7.5 Summary
Chapter - 8: Introduction to Trigonometry
8.1 Introduction
8.2 Trigonometric Ratios
8.3 Trigonometric Ratios of Some Specific Angles
8.4 Trigonometric Ratios of Complementary Angles
8.5 Trigonometric Identities
8.6 Summary
Chapter - 9: Some Applications of Trigonometry
9.1 Introduction
9.2 Heights and Distances
9.3 Summary
Chapter - 10: Circles
10.1 Introduction
10.2 Tangent to a Circle
10.3 The Number of Tangents from a Point on a Circle
10.4 Summary
Chapter - 11: Constructions
11.1 Introduction
11.2 Division of a Line Segment
11.3 Construction of Tangents to a Circle
11.4 Summary
Chapter - 12: Areas Related to Circles
12.1 Introduction
12.2 Area and Perimeter of a Circle — A Review
12.3 Areas of Segment and Sector of a Circle
12.4 Areas of Combinations of Plane Figures
12.5 Summary
Chapter - 13: Surface Areas and Volumes
13.1 Introduction
13.2 Surface Area of a Combination of Solids
13.3 Volume of a Combination of Solids
13.4 Conversion of Solid from One Shape to Another
13.5 Frustum of a Cone
13.6 Summary
Chapter - 14: Statistics
14.1 Introduction
14.2 Mean of Grouped Data
14.3 Mode of Grouped Data
14.4 Median of Grouped Data
14.5 Graphical Representation of Cumulative Frequency Distribution
14.6 Summary
Chapter - 15: Probability
15.1 Introduction
15.2 Probability — A Theoretical Approach
15.3 Summary
Appendix
Appendix A1: Proofs in Mathematics
A1.1 Introduction
A1.2 Mathematical Statements Revisited
A1.3 Deductive Reasoning
A1.4 Conjectures, Theorems, Proofs, and Mathematical Reasoning
A1.5 Negation of a Statement
A1.6 Converse of a Statement
A1.7 Proof by Contradiction
A1.8 Summary
Appendix A2: Mathematical Modelling
A2.1 Introduction
A2.2 Stages in Mathematical Modelling
A2.3 Some Illustrations
A2.4 Why is Mathematical Modelling Important?
A2.5 Summary
Answers and Hints
This part of Class 10 Maths NCERT consists of solutions of the exercises from each chapter and hints for difficult questions.
Conclusion
There are fifteen chapters in Class 10 Maths NCERT along with two appendices and solutions and hints for all chapters. The chapters include real numbers, polynomials, pair of linear equations in two variables, quadratic equations, arithmetic progressions, triangles, coordinate geometry, introduction to trigonometry, some applications of trigonometry, circles, constructions, circles and areas related to them, volumes and surface areas, probability, and statistics. Appendix is divided into two parts, i.e., A1 and A2, which are proofs in Mathematics and mathematical modelling, respectively.
FAQs on Class 10 Maths Index with Chapter Names and Numbers
1. How many units are there in Class 10 Maths NCERT?
There are seven units in 10th class maths textbook index which include fifteen chapters. The first unit is number system which includes one chapter, second is algebra which includes four chapters, third is trigonometry which includes two chapters, fourth is coordinate geometry which includes one chapter, fifth is geometry which includes two chapters, sixth is menstruation which includes two chapters, and seventh is statistics and probability. Other than these seven units, Class 10 Maths NCERT is provided with two appendix exercises and solutions of all the chapter’s exercises.
2. List all the chapters present in Class 10 Maths index NCERT.
The list of all the chapters present in maths index class 10 is given below:
Chapter-1: Real numbers
Chapter-2: Polynomials
Chapter-3: Pair of linear equations in two variables
Chapter-4: Quadratic equations
Chapter-5: Arithmetic progressions
Chapter-6: Triangles
Chapter-7: Coordinate geometry
Chapter-8: Introduction to trigonometry
Chapter-9: Some applications of trigonometry
Chapter-10: Circles
Chapter-11: Constructions
Chapter-12: Areas related to circles
Chapter-13: Surface areas and volumes
Chapter-14: Statistics
Chapter-15: Probability
Along with these four chapters, there are two appendix exercises named A1 and A2.
3. What are the main chapters for Maths Class 10?
In Class 10 Maths, all the chapters are equally important to understand for building a good concept base. But according to the weightage of the chapters, algebra which includes four chapters, coordinate geometry which includes one chapter and coordinate geometry which includes one chapter have highest marks. For higher classes, introduction to trigonometry is also very important as the main chapters for class 11th and 12th are based on the concepts of trigonometry only.
