Frame the algebraic expressions of the following: (a) Difference of numbers divided by 3. (b) Sum of the cubes of numbers ?
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NCERT Solutions for Class 6 Math Chapter 11 - Algebra
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NCERT Solutions Class 6 Math Algebra
Mathematics NCERT Grade 6, Chapter 11: Algebra- The chapters give an insight into concepts related to algebra. An interesting topic- Matchsticks Pattern is explained in the beginning which helps in explaining the concept of algebra. Various patterns are formed using matchsticks through which the students understand the concept of variables.
A variable takes on different values, its value is not fixed.
A variable allows us to express relations in any practical situation. It also allow us to express many common rules in both geometry and arithmetic in a general way.
Before moving to exercise 11.2 students will read about the Use of Variables in Common Rules.
Rules from geometry:
perimeter of square rectangle
perimeter of rectangle
Rules from arithmetic: This includes
Commutativity of addition and multiplication of two numbers
Distributivity of numbers
Emphasis is given to the concept of Expressions with Variables and Using Expressions Practically and after that, a detailed explanation about the Equation with the help of matchsticks patterns is given. The explanation includes two topics:
What is an Equation?
Solution of an equation
An equation is a condition on a variable. It is expressed by saying that expression with a variable is equal to a fixed number. The value of the variable in an equation which satisfies the equation is called a solution to the equation. Trial and error method is explained in this chapter which helps in getting the solution of an equations.
Unsolved, solved exercises, questions in different patterns will make the chapter more comprehensible to students.
All important points of the chapter are cited in the end under the title- What Have We Discussed?
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