## Topic outline

• • ### 01 REAL NUMBERS

We will extend our knowledge on real numbers in this chapter. We begin with two very important properties of positive integers namely the Euclid’s division algorithm and the Fundamental Theorem of Arithmetic.

• ### 02 POLYNOMIALS

As studied in the last class we'll be recalling few concepts of polynomial and will be studying the division algorithm of polynomials.

• ### 03 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

We'll be studying the method to solve linear equation mathematically as well as graphically.

• ### 04 QUADREATIC EQUATIONS

In this chapter, we will discuss quadratic equations, and various ways of finding their roots. We will also see some applications of quadratic equations in daily life situations.

• ### 05 Arithmetic progressions

We shall study few patterns in which succeeding terms are obtained by adding a fixed number to the preceding terms. We shall also see how to find their nth terms and the sum of n consecutive terms, and use this knowledge in solving some daily life problems.

• ### 06 TRIANGLES

Concept of similar figures will be explored in this chapter. We'll also extend our knowledge to criterion of simlar triangles

• ### 07 COORDINATE GEOMETRY

In this chapter, you will learn how to find the distance between the two points whose coordinates are given, and to find the area of the triangle formed by three given points. You will also study how to find the coordinates of the point which divides a line segment joining two given points in a given ratio.

• ### 08 INTRODUCTION TO TRIGONOMETRY

We shall discuss in this chapter, some ratios of the sides of a right triangle with respect to its acute angles, called trigonometric ratios of the angle. We will restrict our discussion to acute angles only. However, these ratios can be extended to other angles also. We will also define the trigonometric ratios for angles of measure 0° and 90°. We will calculate trigonometric ratios for some specific angles and establish some identities involving these ratios, called trigonometric identities.

• ### 09 SOME APPLICATIONS OF TRIGONOMETRY

We will now see how trigonometry is used for finding the heights and distances of various objects, without actually measuring them.

• ### 10 CIRCLES

Examine the different situations that can arise when a circle and a line are given in a plane. We'll learn the concept of a tangent and some of its owd problems related to practical applications

• ### 11 CONSTRUCTIONS

We shall study some more constructions in a line segment or a circle by using the knowledge of the earlier constructions. We would learn to give the mathematical reasoning behind why such constructions work.

• ### 12 ARREAS RELATECD TO CIRCLES

Discussion will begin with a review of the concepts of perimeter (circumference) and area of a circle and apply this knowledge in finding the areas of two special ‘parts’ of a circular region (or briefly of a circle) known as sector and segment. We shall also see how to find the areas of some combinations of plane figures involving circles or their parts.

• ### 13 SURFACE AREAS AND VOLUMES

In this chapter we will see how to find surface areas and volumes of objects such as cylinders, spheres, hemispheres and some more.

• • ### 15 PROBABILITY

We will be learning an introduction to the theoretical (also called classical) probability of an event, and discuss simple problems based on this concept.

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