CBSE Class 6 Maths Revision Notes Chapter 11

CBSE Class 6 Mathematics Chapter 11 Revision Notes – Algebra

The quickest way to review previously studied concepts is to refer to revision notes. These notes will contain all of the necessary details for an effective revision. 

Extramarks offers Class 6 Mathematics Chapter 11 Notes for students to clear their fundamentals of Algebra. Class 6 Mathematics Chapter 11 Notes are organised and written in straightforward language by subject matter experts. With these notes, students can cover the syllabus effectively and  excel in academics. . 

Access Class 6 Mathematics Chapter 11 Notes – Algebra

A general form of arithmetic known as algebra uses letters joined together in accordance with arithmetic rules to represent numbers.

To create letters and other forms, the chapter provides an example of matchstick patterns formed by Sarita, Ameena, and Appu. To form the letter ‘L’, two matchsticks are required. As a result, the number of matchsticks used is double the number of Ls created, 

i.e., number of matchsticks required =  2 x number of Ls.

For the sake of simplicity, let’s represent the number of Ls with the letter N. Let N  be any natural number, such as 1, 2, 3, 4, or 5, because n = 1. Rules can be formed such as if only one L is formed, n = 2 if only two Ls are made, 2n = 4, and so on. 

Students learn how to write general correlations between the number of matchsticks required to repeatedly form a particular shape. A particular shape may be repeated 1, 2, 3, or any number of times, as discussed. It is a variable that is symbolised by a letter, such as N.

The value of a variable is not constant; it can change over time. Any number can be the length of a square. After all, it is a variable. On the other hand, the number of angles in a triangle is always three. It is not a parameter.

Any letter can be used to represent a variable such as n, l, m, p, x, y, and z.

Relations are expressed with the help of a variable. Numbers without a predetermined value are called variables. They can be added to, subtracted from, multiplied by, and divided in the same manner as fixed integers. Variables are used to create equations like x − 3, x + 3, 2n, 5m, 3 p, 2y + 3, 3l − 5, and so on by using various operations.

Variables can be used to express a variety of common mathematical and geometrical laws. For instance, the formula a + b = b + a can be used to express the rule that the sum of two integers remains the same when their acquisition order is reversed. The numbers 1, 32, 1000 – 7, – 20, and so forth are all valid values for the variables a and b.

An equation is a statement that depends on a variable. It is expressed by stating that a variable expression equals a fixed number, as in x – 3 = 10.

LHS and RHS are the two sides of an equation, and the equal (=) sign sits in the centre. The value of a variable in an equation that resolves the equation is referred to as the solution. One way to find the answer to an equation is through trial and error. This is how we test to see if the variable has a value that satisfies the equation. We keep assigning different values to the variable until we discover one that satisfies the equation.

The LHS and RHS are equal only when the variable in the equation has a particular value. It is said that the equation is satisfied when the variable has this specific value. The solution of the equation is denoted by this value.

Download Class 6 Mathematics Chapter 11 Notes Free 

Class 6 Mathematics Chapter 11 Notes as a study guide make exam preparations easier with authentic and precise content. All of the pertinent formulas, topics, and derivations of algebra are covered in Chapter 11 Mathematics Class 6 Notes to help students quickly understand and revise the material.

These review materials are created by Extramarks subject matter experts using the latest CBSE Mathematics curriculum. The Class 6 Mathematics Chapter 11 Notes will be useful for students’ last-minute revisions or to get  a quick overview of the chapter.

Students can begin preparing for the exams by accessing the Class 6 Mathematics Chapter 11 Notes from the Extramarks website. These notes will help them build a solid conceptual understanding of the topics covered with enough examples to practise and learn from.

A Quick Overview of Class 6 Chapter 11 Algebra

Students have become accustomed to the various numbers, shapes, characteristics, and operations in real-life situations. Arithmetic is the area of mathematics in which students learn numbers, while geometry is the area of mathematics which deals with shapes. In this chapter, students will be acquainted with a new area of mathematics known as algebra.

The use of letters is the primary component of algebra. Mathematical rules and formulas can be written in a general way using letters.  It can be discussed about any number, not just one particular number.

Students can solve puzzles and numerous problems in daily life with algebra, by learning how to determine unknown quantities.   Secondly, letters may stand for unknown quantities. By learning methods of determining unknowns, students may develop powerful tools for solving puzzles and many problems from daily life.

Thirdly, operations can be carried out on letters as well as numbers since these letters represent numbers and vice versa. This leads to the  study of algebraic expressions and their properties. 

What is Algebra?

The branch of Mathematics known as algebra uses letters to represent scales in which what is done on one side will also be done on the other and where the numbers act as constants. Complex numbers, real numbers, matrices, vectors, and many other types of mathematical representations are all used in algebra.

Students can solve mathematical equations and determine unknown quantities, such as percentage proportions and bank interest, with the aid of algebra. In algebra, the values that are known, like numbers, are known as constants, while the alphabetic letters that are used to find unknown quantities are known as variables.

Class 6 Chapter 11 Algebra Includes the following topics: 

  • How to find powers and roots?
  • How to solve the expressions with exponents?
  • How to subtract, add, and divide decimals, integers, and fractional values? 
  • How to calculate the inequalities of variables? 
  • How to draw the graphs of lines using the slope-intercept formula and point-slope form?
  • How to calculate multivariable equations and single variables?
  • How to calculate an equation to determine roots with the help of a quadratic formula?

Students can access Class 6 Chapter 11 Mathematics Notes to improve their understanding of the chapter on Algebra, revise  and ace their preparations for the upcoming exam.

Benefits of  Class 6 Mathematics Notes of Algebra by Extramarks

  • These notes are prepared by subject matter experts in a well-structured manner.
  • Extramarks provides revision notes based on the updated  curriculum recommended by the CBSE board.
  • Class 6 Mathematics Chapter 11 Notes explains all of the key topics, derivations, and formulas with real-life examples.
  • These notes are easy-to-understand and written in simple language.
  • The pointers given in these notes are easy to remember.
  • Each topic in the notes comes with a complete explanation that is simple to understand.
  • Students can utilise these Class 6 Mathematics Chapter 11 Notes on Algebra to boost their exam preparations and revisions.
  • With the aid of these notes, students will be able to score better in  the exams.

FAQs (Frequently Asked Questions)

1. What topics and subtopics are covered in NCERT Class 6 Mathematics Chapter 11?

The list of the topics and subtopics discussed in NCERT Class 6 Mathematics Chapter 11 Algebra are as follows.

  • Introduction to algebra
  • Matchstick pattern
  • The idea of a variable
  • More matchstick pattern
  • More examples of variables
  • Use of variables in common rules
  • Expression with variables
  • Using expressions practically
  • What is an equation?
  • Solution of an equation

2. What is algebra?

In the area of mathematics known as algebra, letters are specifically used as variables. To know an unknown value or including variables in equations allows students to solve them. Real as well as complex numbers may be used in algebra. Students in algebra work with both numbers and variables. The equation’s variables stand in for a variable value. The equation’s constants will determine the answer.