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The Central Board of Secondary Education (CBSE) has released the rationalized syllabus for Class 10 for the academic session 2022-2023. The pattern in Math has undergone some changes in accordance with the emerging needs of current technology requirements. The curriculum at the Secondary stage primarily aims at enhancing the capacity of students to employ Mathematics in solving day-to-day life problems. The proposed curriculum includes the study of the number system, algebra, geometry, trigonometry, mensuration, statistics, graphs, coordinate geometry, etc.
The CBSE class 10 maths syllabus is designed in such a way that it forms the foundation for the all-important board exams and competitive exams in the upcoming years.
CBSE Maths Syllabus For Class 10 follows the Class 10 Maths syllabus of NCERT.
Detailed Syllabus of Class 10 Maths CBSE
Chapter 1: Real Numbers
In earlier classes, you began your exploration of the world of real numbers and encountered irrational numbers. You will continue your journey on real numbers in this chapter. You will learn one of the very fundament concepts of numbers – the Fundamental Theorem of Arithmetic.
- Fundamental Theorem of Arithmetic – Prime Factorization
- Irrational Numbers
- Rational Numbers
- Decimal Expansion of Real Numbers – Terminating, Non-Terminating But Recurring, and Non-Terminating & Recurring
Chapter 2: Polynomials
You have studied polynomials in one variable and their degrees. In this chapter, you will learn second and third-degree polynomials in one variable and about zeroes of polynomials and their geometrical interpretation. This chapter of the CBSE class 10 maths syllabus also covers the relationship between zeroes and coefficients of polynomials of degrees 2 and 3.
- Types of Polynomials
- Terms Related With Polynomials – Degree, Coefficients, Terms, Factors
- Zeroes of a Polynomial
- Geometrical Meaning of Zeroes of a Polynomial
- Relationship Between Zeroes and Coefficients of a Polynomial
- Division Algorithm for Polynomials
Chapter 3: Pair of Linear Equations in Two Variables
There are many real-world problems that are solved using linear equations. The number of equations needed to solve a problem depends on the number of unknown values in it. In your earlier classes, you learned to find solutions to linear equations in one variable. This chapter is a step further where you will learn to find the solution(s) to a pair of linear equations in two variables.
- Pair of Linear Equations in Two Variables
- Graph of Pair of Linear Equations in Two Variables
- Graphical Method of Solution of Pair of Linear Equations in Two Variables
- Algebraic Method of Solution of Pair of Linear Equations in Two Variables – Elimination Method
- Algebraic Method of Solution of Pair of Linear Equations in Two Variables – Substitution Method
- Algebraic Method of Solution of Pair of Linear Equations in Two Variables – Cross-Multiplication Method
- Equations Reducible to Pair of Linear Equations in Two Variables
- Word Problems on Pair of Linear Equations in Two Variables
Chapter 4: Quadratic Equations
Quadratic equations are widely used in science, business, and engineering. A quadratic equation is an algebraic equation of the second degree in x. In this chapter of the CBSE class 10 maths syllabus, you will learn about quadratic equations and the methods of finding their solutions.
- What is a Quadratic Equation?
- Solution of a Quadratic Equation – Factorization Method
- Solution of a Quadratic Equation – Completing the Square Method
- Nature of Roots of Quadratic Equations
- Word Problems on Quadratic Equations
Chapter 5: Arithmetic Progressions
You must have observed that in nature, many things follow a certain pattern, such as the petals of a sunflower, the holes of a honeycomb, the grains on a maize cob, the spirals on a pineapple, and on a pine cone, etc. In Math also, the numbers also follow such patterns. Patterns of numbers are called sequences and their sum is a series. In this chapter, you will be introduced to one of the most important number patterns – the arithmetic progression.
- What Are Sequences and Series?
- What is an Arithmetic Progression?
- nth Term of an Arithmetic Progression
- Sum of First n Terms of an Arithmetic Progression
- Word Problems on Arithmetic Progression
Chapter 6: Triangles
Till now, you have studied triangles, their types, properties, and equality or congruence. In this chapter, you will learn about similarity of triangles. The terms ‘congruence’ and ‘similar’ are almost the same but there is a difference between these two terms. This chapter details these concepts with respect to triangles.
- What Are Similar Figures?
- Basic Proportionality Theorem
- Criteria for Similarity of Triangles – SSS Criterion
- Criteria for Similarity of Triangles – SAS Criterion
- Criteria for Similarity of Triangles – ASA Criterion
- Areas of Similar Triangles
- Pythagoras Theorem
Chapter 7: Coordinate Geometry
Coordinate geometry is the study of geometric figures such as lines, and plane figures by plotting them in the coordinate axes. You have already used coordinated geometry to plot points and draw lines using coordinate points. In this chapter, you will learn to find the distance between two points and bisect them in some ratio. You will also read about the way of finding the area of a triangle using the coordinates of its vertices.
- Distance Formula
- Section Formula
- Area of Triangle
Chapter 8: Introduction to Trigonometry
While learning about triangles, you studied about right triangles. These right triangles are used to find the height of mountains, tall buildings, or the depth of ocean beds. The branch of mathematics that helps in finding all these measurements is called Trigonometry. It is based on the concept of the ratio of sides of a right triangle. These three basic ratios used in trigonometry are sine, cosine, and tangent.
- Trigonometric Ratios
- Trigonometric Ratios of Specific Angles
- Trigonometric Ratios of Complementary Angles
- Trigonometric Identities
Chapter 9: Applications of Trigonometry
Knowledge of the various trigonometric ratios, their properties, and identities involving trigonometric ratios helps you to use and apply them in solving real-world problems like finding heights and distances of objects. In this chapter of the CBSE class 10 maths syllabus, you will learn how to use trigonometry to solve real-world problems.
- Angles of Elevation and Depression
- Height and Distance
Chapter 10: Circles
In daily life, you come across different types of circular objects such as clock dials, rings, vehicle tyres, etc. In this chapter, you will learn about two important line segments associated with circles – tangents and secants.
Chapter 11: Constructions
Till now you have drawn geometrical figures like lines, angles, and triangles. In this chapter, you will learn how to divide a line without measuring and how to draw triangles similar to given triangles. It also includes a section on drawing tangents to a circle.
- Division of a Line
- Construction of Similar Triangles
- Construction of Tangents to a Circle
Chapter 12: Areas Related to Circles
In the previous classes, you learned to find the area of plane figures like squares, rectangles, triangles, and circles. The objects in the real world, especially the various pattern you see like ‘rangoli’ are a combination of these plane figures. This chapter describes the procedure of finding areas of combinational figures involving circles.
- Perimeter of a Circle
- Area of a Circle
- Length of Sector of a Circle
- Area of a Sector of a Circle
- Length of a Segment of a Circle
- Area of a Segment of a Circle
- Area of Combination of Plane Figures Involving Circles
Chapter 13: Surface Areas and Volumes
In the previous classes, you learned to find the surface area and volume of solid shapes like cubes, cuboids, cylinders, cones, and spheres. In the real world, we come across a number of solids made up of combinations of two or more solid shapes. In this chapter of the CBSE class 10 maths syllabus, you will learn how to find the surface area and volume of real-world objects like ice cream cones, glass tumblers, etc.
- Surface Area of Combination of Figures
- Volume of Combination of Figures
- Conversion of One Solid From One Shape to Another
Chapter 14: Statistics
Statistics refers to the study of collecting, analyzing, interpreting, presenting, and organizing data in a particular manner. It is a mathematical discipline where the collection and summarization of data are carried out. The data collected from the source is called raw data. The raw data is then organized for processing which is called tabulated and grouped data.
In this chapter, you will learn about the methods of finding measures of central tendencies of grouped data. The three major central tendencies that you will learn are mean, mode and median.
Chapter 15: Probability
Probability in math means the numerical measurement of uncertainty. This chapter introduces you to the theoretical approach to finding the probability of an event.
- Probability – Theoretical Approach
Best Maths Reference Books For Class 10 CBSE
If you are looking for the best Maths reference books for Class 10 CBSE, then this list is for you. Here we have listed some of the best Maths books that will help you score high marks in your exams. These books cover the entire CBSE class 10 maths syllabus and are a great resource for students who want to excel in this subject. In this list, we will recommend three of the best math reference books for 10th grade students who are following the CBSE curriculum.
- The first book on our list is ” Mathematics for Class 10 – CBSE – Examination 2022-23″ by R.D. Sharma. This book is considered to be one of the best math reference books for 10th grade students because it covers all the topics in detail and also provides solved examples to help students understand the concepts better.
- Another good math reference book for 10th grade students is “Secondary School Mathematics for Class 10 – CBSE – Examination 2022-2023”, by R.S. Aggarwal. This book is also very comprehensive and covers all the topics in detail. It also provides solved examples and is considered to be one of the best books for learning math.
- “CBSE All in One Mathematics Class 10 2022-23 Edition”, by Prem Kumar, Jitendra Gupta, Brijesh Dwivedi, Arihant Publications. It provides solved examples in an easy way to learn and understand and also has a large collection of questions for students to work out.
Prescribed Books For Class 10 By CBSE
CBSE Maths Syllabus For Class 10 Pdf
The Central Board of Secondary Education (CBSE) is a national-level board of education in India for public and private schools, controlled and managed by the Union Government of India.
Class 10 is an important class for students as it is the foundation for their future studies. In order to help students perform well in their exams, the CBSE has released the Maths Syllabus for Class 10. The syllabus covers all the important topics that will be taught in Class 10.
Based on the CBSE class 10 maths syllabus, we have created this detailed and beautiful PDF which you can download and refer to anytime. This PDF not only covers the full list of chapters and topics within each chapter, but it also has a list of resources that parents, teachers, and students will find very helpful. So, go ahead and download this CBSE class 10 maths syllabus PDF.
The CBSE Class 10 Maths Syllabus has been designed to provide a strong foundation in the subject and prepare students for higher-level courses.
The syllabus covers a wide range of topics, from basic algebra and geometry to more advanced concepts such as statistics and trigonometry.
Overall, the CBSE class 10 maths syllabus provides a well-rounded education in mathematics that will give students the skills they need to succeed in higher-level courses.