# Class 10th Mathematics Study Material

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## Description

We specialize class 10th whole syllabus in 4 modules, that are given below;

Module 1-

1. Real Numbers

In Chapter 1,  students will explore real numbers and irrational numbers. The Fundamental Theorem of Arithmetic is defined which is used to find the LCM and HCF of two positive integers. After that, the concept of an irrational number, rational number and decimal expansion of rational numbers are explained with the help of theorem.

1. Polynomials

In Polynomials, the chapter begins with the definition of degree of the polynomial, linear polynomial, quadratic polynomial, and cubic polynomial. This chapter has a total of 4 exercises including an optional exercise. It includes the questions on finding the number of zeroes through a graph. It requires an understanding of the Geometrical Meaning of the Zeroes of a Polynomial.

1. Pair of Linear Equations in Two Variables

This chapter explains the concept of Pair of Linear Equations in Two Variables. It describes how to represent a situation algebraically and graphically. It explains the methods of solving the pair of the linear equations through the Graphical Method. It also describes the Algebraic Method, Elimination Method, Cross-Multiplication Method, Substitution Method.

Module 2

1. Similar Triangles

In Chapter 6 of Class 10 CBSE Maths, students will study those figures which have the same shape but not necessarily the same size. The chapter starts with the concept of a similar and congruent figure. It further explains the condition for the similarity of two triangles and theorems related to the similarity of triangles. After that, the areas of similar triangles have been explained with a theorem. At the end of this chapter, the Pythagoras Theorem and converse of Pythagoras Theorem is described.

1. Trigonometry

This chapter will introduce students to Trigonometry. They will study some ratios of a right triangle with respect to its acute angles, called trigonometric ratios of the angles. The chapter also defines the trigonometric ratios for angles of 00 and 900. Further, students will also know how to calculate trigonometric ratios for some specific angles and establish some identities involving these ratios, called trigonometric identities, how trigonometry is used for finding the heights and distances of various objects, without actually measuring them. They will get introduced to the term line of sight, angle of elevation, angle of depression.

1. Statistics

Here students will learn the numerical representation of ungrouped data to grouped data and finding the Mean, Mode and Median. Also, the concept of cumulative frequency, cumulative frequency distribution and how to draw cumulative frequency curves will be explained.

In this chapter, students will get to know the standard form of writing a quadratic equation. The chapter goes on to explain the method of solving the quadratic equation through the factorization method and completing the square method.

Module 3

#### 1.Arithmetic Progressions

This chapter introduces students to a new topic that is  Arithmetic Progression i.e AP. It represents a situation in the form of AP, finding the first term and difference of an AP, finding out whether a series is AP or not.

1. Circles

In earlier classes, students have studied about a circle and various terms related to a circle such as a chord, segment, arc, etc. In this chapter, students will study the different situations that arise when a circle and a line are given in a plane. So, they will get through with the concept of Tangent to a Circle and Number of Tangents from a Point on a Circle.

1. Constructions

Students will study how to divide a line segment, they will study the construction of tangents to a circle. Methods and steps for construction are explained and also some examples are additionally given to make it more clearer to the students.

1. Areas Related to Circles

This chapter begins with the concepts of perimeter and area of a circle. Using this concept the chapter further explains how to find the area of sector and segment of a circular region. Moreover, students will get clarity on finding the areas of some combinations of plane figures involving circles or their parts.

Module 4

1. Surface Areas and Volumes

This chapter is based on finding the surface area of an object formed by combining any two of the basic solids i.e cuboid, cone, cylinder, sphere and hemisphere, on finding the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere.

1. Coordinate Geometry

In this chapter, students will learn how to find the distance between two points whose coordinates are given, and to find the area of the triangle formed by three given points. Along with this students will also study how to find the coordinates of the point which divides a line segment joining two given points in a given ratio. For this purpose, students will get introduced to Distance Formula, Section Formula and Area of a Triangle in this chapter.

1. Probability

The chapter starts with the theoretical approach of probability. Subsequently, the chapter explains the difference between experimental probability and theoretical probability. There are various examples given to explain it in an effective way.

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