Class 9

Mathematics
Adden On 2019-Feb-08
1 Books
(18 Reviews)
Mathematics
Number System
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In this chapter, you will be learning the extended version of the number line and how to represent various types of number of it. With a total of 6 exercises, this chapter contains the representation of terminating/non-terminating recurring decimals on the number line (and successive magnification method). With the knowledge of rational numbers, you will also learn about the presentation of square roots of 2, 3 and other non-rational numbers. Laws of integral powers and rational exponents with positive real bases in Number Systems and Rationalization of real numbers.

Polynomials
In this chapter, you'll study a particular type of algebraic expression, called a polynomial. you will also learn about the Remainder theorem and Factor theorem and their applications in the factorisation of polynomials.

This chapter explains the algebraic expression called polynomial and the detailed terminologies related to it very clearly. With a total of 4 exercises, you will be learning plenty of examples and definition of a polynomial, degrees, coefficient, zeroes and terms of a polynomial. Types of Polynomials - Linear, Constant, quadratic and cubic polynomials, monomials, binomials, trinomials. Factors and multiples, Remainder and factor theorems, factorization of a polynomials using factor theorem.

Coordinate Geometry
In this chapter, you'll learn about the cartesian system. you'll also understand how to locate points as well as some operations.

Chapter 3 has a total of 3 exercises in this chapter called Coordinate Geometry. You will be studying the concept of cartesian plane, coordinates of a point in this xy – plane, name, terms, notations and other terms associated with the coordinate plane. Abscissa and ordinate of a points. You will learn to Plot a point in xy – plane and the process of naming it.

Linear Equations in Two Variables
we'll brush up our prior knowledge of linear equations in one variable and extend that to two variables. You will also learn how to graph linear equations.

This chapter will take you through the introduction to the equation in two variables of the type ax + by + c = 0. You will see a total of 4 exercises in this chapter with questions related to Proving a linear equation has infinite number of solutions, plotting a linear equation on graph and justification of any point on line.

Introduction to Euclid's Geometry
Euclidian Geometry is an important concept that is taught at the elementary level. However, it has implications in various industries and research fields. Hence, a good grasp of this concept is important.

Euclid’s geometry chapter has some introduction of it as a part of history of Indian geometry. Introduction to Euclid’s Geometry provides you a with a way of defining the common geometrical shapes and terms. With a total of two exercises, you will be delving deeper into relationship between axiom, postulates and theorems.

Lines and Angels
Let's study the properties of the angles formed when two lines intersect each other and also the properties of the angles formed when a line intersects two or more parallel lines at distinct points. Let's then use the knowledge of these properties to practice deductive reasoning.

With two exercises in total, this chapter has theorems in Lines and Angles chapter which may be asked for proof. First is pf type “If two lines intersect, vertically opposite angles are equal” and second proof that is asked is “The sum of the angles of a triangle is 180.”. Rest of the theorems are given for motivations and questions will be asked on the basis of all these theorems.

Triangles
Let's deep dive into the details and prove the congruence of triangles, rules of congruence, some more properties of triangles and inequalities in a triangle.

In Chapter 7, Triangles of class 9 Maths, you will study the congruence of triangles in details along with rules of congruence. With a total of 5 exercises, this chapter has two theorems that are given for proof and the rest will be asked in the form of applications/problems. Also, there are many more properties of triangles and inequalities in a triangle to learn in this chapter.

Quadrilaterals
You have already read a lot about triangles and their properties, you'll now be learning about the properties of quadrilaterals and their types.

The chapter Quadrilaterals consists of only two exercises. However, it is a very interesting chapter with only one theorem for proof. Others will be asked in the form of application and conceptual questions. Questions in quadrilaterals are on the basis of properties of quadrilaterals and combinations of it with triangles.

Areas of Parallelograms and Triangles
There are some interesting properties associated with finding the area of a Triangle and a Parallelogram. This chapter talks about these properties in detail.

This chapter explains the meaning of area right from the introduction part. Areas of parallelograms and triangles and their combinations given in this chapter to will be asked to prove in most of the questions. Example of median may be used as theorem in most of the questions.

Circles
In this chapter, you will explore about circles, terms related to circles and some properties of a circle. you'll also get to know about chords, sectors and cyclic quadrilaterals.

In this chapter, you will be learning some interesting topics like Angle Subtended by a Chord at a Point, Equal Chords and their respective distances from the Centre, Angle Subtended by an Arc of a Circle, Cyclic Quadrilaterals. The other important theorems prove to be helpful for solving questions based on triangle, quadrilateral and circles.

Constructions
Constructions is an important topic that helps the students to understand how different shapes are made. It also teaches their implications and their academic relevancy. Learn how to construct a bisector, a perpendicular bisector and much more.

With a total of just two exercises, you will be learning two categories of constructions. One is Construction of bisectors of the line segments and angles of measure including 60, 90, 45 etc. The other category which you will be learning is construction of a triangle with its base, sum/difference of the other two sides and one base angle & given perimeter and base angles given.

Heron's formula
Learn new method called heron's formula to calculate the area of any type of triangle.

This chapter has again two exercises for students. What all you will be learning in this chapter is just the extension of concepts related to area of triangle. You will learn about use of Heron’s formula to find the area of quadrilaterals, triangles, (dividing it into two triangles) and other types of polygons. Knowledge of formulae of plane figures is also imparted in this chapter which will help in doing questions.

Surface Areas and Volumes
Let's explore how to find the surface areas and volumes of cuboids and cylinders in detail and extend this study to some other solids such as cones and spheres.

Students are well aware of surface areas and volumes as they have already studies mensuration in earlier classes. This chapter also have problems based on surface areas and volumes of cube, cuboids, cylinders, cones, spheres and hemispheres. Conversion of one of the figures into the another, comparing volumes is also given as an application of mensuration.

Statistics
In this chapter, you shall briefly discuss some the aspects regarding data such as presentation of data and graphical representation as well as methods to calculate central tendency.

Description of statistics in this chapter is explained simply as the collection of data on different aspects of the life of people, which is useful to the State and interpretation and drawing of inferences from the data. With a total of four chapters, Introduction to statistics includes the presentation of data collected in a raw form. Building blocks of this chapter are presentation of data in tabular form by grouping them in a regular intervals, histogram or polygon, bar graph drawing. Topics like how to find the measure of central tendency mean and mode and median of raw data.

Probability
Probability is a branch of maths which deals with calculating the likelihood of an event happening. Directly or indirectly, probability plays an important role in day to day activities.

With only one exercise, Probability of class 10 Maths is based on the frequency or the observation approach. Questions are very interesting and are based on real life or day to day incidents such as coin tossing, throwing a dice, deck of cards probability and simple events. This chapter is quite a fun to learn if you are curious enough to delve deeper.