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Algebra: Class 6 Chapter 11 Maths Notes

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Algebra: Class 6 Chapter 11 Maths Notes

NCERT class 6 Maths Chapter 11 notes PDF: Revision notes for Class 6 Algebra are the quickest way of revising the concepts that have been studied previously. It is important to write Notes for Class 6 Maths chapter 11 in simple language that is well-structured and well-written for a better revision process. A good revision note should contain all the relevant information required for a better CBSE Math exam preparation. The preparation for any CBSE Grade 6 Mathematics chapter should include a well-designed approach and quick revision to retain the information.

We at SpeEdLabs have compiled Revision Notes for NCERT Class 6 Maths Chapter 11 Algebra to help students revise Algebra basics quickly.

To score more marks in CBSE board examinations, register online for NCERT Class 6 Science coaching on SpeEdLabs. SpeEdLabs provides CBSE Solutions (NCERT) and other study materials for free. Students who are searching for better solutions can download Class 6 Maths NCERT Solutions to help them to revise the complete syllabus and earn more marks in their exams.

Algebra Class 6 Chapter 11 Maths Notes

Algebra is a branch of mathematics that substitutes letters for numbers to find the unknown. In other words, it involves putting real-life variables into equations and then solving them. Algebra is derived from the Arabic word “al-jabr,” which means reunion of broken parts.

Introduction to Algebra

Variable

A variable is an unknown quantity that is prone to change with the context of a situation.

Example: In the expression 2x+5, x is the variable.

Constant

Constant is a quantity which has a fixed value. In the given example 2x+5, 5 is the constant.

Terms of an Expression

Parts of an expression which are formed separately first and then added or subtracted, are known as terms.

In the above-given example, terms 2x and 5 are added to form the expression (2x+5).

Factors of a term

Parts of an expression which are formed separately first and then added or subtracted, are known as terms.

  • Factors of a term are quantities which cannot be further factorised.
  • In the above-given example, factors of the term 2x are 2 and x.

Coefficient of a term

The numerical factor of a term is called the coefficient of the term.

In the above-given example, 2 is the coefficient of the term 2x.

Like and Unlike Terms

Like terms

Terms having the same variables are called like terms.>

Example: 8xy and 3xy are like terms.

Unlike terms

Terms having different variables are called, unlike terms.

Example: 7xy and -3x are unlike terms.

Monomial, Binomial, Trinomial and Polynomial Terms

Name Monomial Binomial Trinomial Polynomial
No. of terms 1 2 3 >3
Example 7xy  (4x−3) (3x+5y−6) (6x+5yx−3y+4

 

Formation of Algebraic Expressions

Combinations of variables, constants and operators constitute an algebraic expression.

Example: 2x+3, 3y+4xy, etc.

Download the [Free PDF] of Class 6 Maths Chapter 11 – Algebra

  1. To represent a variable, we can use any letter, such as n, l, m, p, x, y, z, and so on.
  2. A variable allows us to articulate relations. Variables are numbers that do not have a set value. We can perform addition, subtraction, multiplication, and division on them in the same way that we do with fixed integers. We can create equations with variables like x — 3, x + 3, 2n, 5m, 3 p, 2y + 3, 3l – 5 and so on by using various operations.
  3. Many common laws in geometry and arithmetic can be expressed in a general form using variables. The rule that the total of two integers remains the same if the order in which they are obtained is reversed, for example, can be written as  a + b = b + a. The variables a & b can be any number, such as 1, 32, 1000 – 7, – 20, and so on.
  4. An equation has two sides, LHS and RHS, with the equal (=) sign in the middle.
  5. The trial and error approach is one method for obtaining the solution to an equation. We give the variable a value and see if it satisfies the equation using this way. We continue in this manner, assigning different values to the variable until we discover one that fulfils the equation.
  6. Only for a specific value of the variable in the equation is the LHS equal to the RHS. This definite value of the variable is said to satisfy the equation. This value is referred to as the equation’s solution.

CBSE Class 6 Chapter 11 Algebra Overview

Our study has so far familiarized us with numbers and shapes. We have studied numbers, the properties of numbers, and operations on numbers. We have used our knowledge of numbers and shapes to solve many problems in life.

In Chapter 11, we will be familiar with the new branch of Mathematics known as Algebra. The main aspect of Algebra is the use of letters. With the help of letters, we can write the Mathematical rules and formulas in a general way. Letters help us to talk about any number, not just any specific number. Secondly, letters may represent unknown quantities. 

We have developed Algebra by studying the method of determining unknown quantities. In our daily lives, this tool helps us solve puzzles and solve numerous problems. Thirdly, letters represent numbers, and Mathematical operations can also be performed on letters as on numbers. This brings about the study of Algebraic expressions and properties. 

Benefits of Class 6 Maths Notes of Algebra by SpeEdLabs

  • Written by experts at SpeEdLabs with extensive experience teaching mathematics.
  • Based on the latest syllabus prescribed by the CBSE board.
  • Provides almost all formulas, derivations, and important topics.
  • Class 6 Maths notes of Algebra are presented in the shortest and most precise manner.
  • Easy to memorize the chapter.
  • The topics are explained briefly and are easy to understand
  • Using these Algebra Class 6 Notes will help you prepare for the chapter at the last minute.
  • These notes will definitely help you to improve your scores in Mathematics.

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