CBSE Class 10 Math Syllabus
It is important for the students to first go through the syllabus well and then start preparing for their examination. The same goes for getting a deep understanding of the exam pattern. It is advised that when you go through the syllabus, you read the chapters thoroughly and learn the basic concepts. Online courses have made it easier as the students can download syllabus PDFs and go through anytime they want. Here, we have mentioned the syllabus for CBSE class 10th in detail.
Chapter-1 Real Numbers
This chapter begins with an introduction to real numbers, Euclid’s division lemma, fundamentals of arithmetic, Euclid’s division algorithm, properties of real numbers, revisiting irrational numbers, revisiting rational numbers and their decimal expansions followed by a few exercises for better practice and thorough understanding.
This chapter is quite important as it is a scoring topic in the syllabus. Students find this chapter very easy to understand and simple to solve as this chapter is repeated almost every year. This chapter includes topics like the relationship between zeroes and coefficients of a polynomial, like geometrical meaning of the zeroes of a polynomial, division algorithm for polynomials followed up with exercises and solved examples for better understanding.
Chapter-3 Pair of Linear Equations in Two Variables
This chapter is very intriguing and the topics covered here are explained very clearly and perfectly using examples and exercises for each topic. It requires a lot of practice and understanding of the basic concepts. Starting with the introduction, pair of linear equations in two variables, graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, substitution method, elimination method, cross-multiplication method, equations reducible to a pair of linear equations in two variables, etc are a few topics that are discussed in this chapter.
Chapter-4 Quadratic Equations
The Quadratic Equations chapter is a very important and high priority chapter in terms of examination, and scoring high marks. The problems are very simple and easy to solve. Problems like finding the value of X from a given equation, comparing and solving two equations to find X, Y values, proving the given equation is quadratic or not by knowing the highest power, from the given statement deriving the required quadratic equation, etc are few topics covered in this chapter.
Chapter-5 Arithmetic Progressions
This chapter is another interesting as well as simpler topic as the problems here are mostly based on a single formula and the rest are derivations of the original one. Beginning with a basic brief introduction, definitions of arithmetic progressions, nth term of an AP, the sum of first n terms of an AP are a few important and priority topics covered under this chapter. Apart from this, there are many problems and exercises followed with each topic for better understanding.
The chapter Triangle, is an interesting and easy chapter. Students often like this very much and it is also a securing unit. Here beginning with the introduction to triangles followed by other topics like similar figures, the similarity of triangles, areas of similar triangles, Pythagoras theorem, criteria for similarity of triangles, along with a page summary for revision purposes are discussed in this chapter with examples and exercises for practice purposes.
Chapter-7 Coordinate Geometry
Here starting with a general introduction, section formula, distance formula, area of the triangle are a few topics covered in this chapter followed with examples and exercises for better and thorough practice purposes.
Chapter-8 Introduction to Trigonometry
As trigonometry is a very important and vast topic, this chapter is divided into two parts where one chapter is Introduction to Trigonometry and another part is Applications of Trigonometry. This Introduction to Trigonometry chapter is started with a general introduction, trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, trigonometric identities, etc are a few important topics covered in this chapter.
Chapter-9 Applications of Trigonometry
This chapter is the continuation of the previous chapter, where the various modeled applications are discussed here with examples and exercises for better understanding. Topics like heights and distances are covered here and at the end, a summary is provided with all the important and frequently used formulas used in this chapter for solving the problems.
Beginning with the introduction to circles, tangent to a circle, several tangents from a point on a circle are some of the important topics covered in this chapter. This chapter being practical, there are an ample number of problems and solved examples for better understanding and practice purposes.
This chapter has more practical problems than theory-based definitions. Beginning with a general introduction to constructions, tools used, etc, the topics like division of a line segment, construction of tangents to a circle, and followed with few solved examples that help in solving the exercises provided at the below of each topic.
Chapter-12 Areas related to Circles
This chapter is exclusively formula based wherein topics like perimeter and area of a circle- A Review, areas of combinations of plane figures, areas of sector and segment of a circle, and a page summary is provided just as a revision of the topics and formulas covered in the entire chapter and also there are many exercises and solved examples for practice purposes.
Chapter-13 Surface Areas and Volumes
This chapter begins with the introduction of the surface area of a combination of solids, the volume of a combination of solids, conversion of solid from one shape to another, frustum of a cone, etc are to name a few topics explained in detail provided with a set of examples for a better comprehension of the concepts.
Topics like mean of grouped data, mode of grouped data, a median of grouped, graphical representation of cumulative frequency distribution are explained in detail with exercises for practice purposes. This chapter being a simple and easy subject, securing the marks is not difficult for students.
Probability is another simple yet important chapter in examination point of view and as seeking knowledge purposes as well. Beginning with an introduction to probability, an important topic called A theoretical approach is explained here. Since this chapter is one of the smallest in the syllabus and problems are also quite easy, students often like this chapter.
Moreover, students can go through some professional courses as well to add up to their skills for future references. SYC comes with simple yet detailed explanation of the important topics for students of class 10, 11, and 12th as well as KG to class 9th.