Class 7 Maths - ICSE
Unitary Method
The Unitary Method is a fundamental mathematical technique taught in Class 7 ICSE Mathematics, where you first find the value of a single unit from the given multiple units, and then find the value of any required number of units. This chapter is divided into direct and indirect (inverse) proportions. Mastering this chapter is crucial for board exams because it builds the foundation for advanced topics like percentages, profit and loss, time and work, and speed-distance-time problems frequently asked in ICSE examinations.
Start Learning FreeKey Concepts
Meaning of Unitary Method
A process in which we first find the value of one unit by division, and then find the value of the required number of units by multiplication.
Direct Proportion
A relationship where an increase in one quantity causes a proportional increase in another quantity, or a decrease in one causes a decrease in the other.
Inverse Proportion
A relationship where an increase in one quantity causes a proportional decrease in another quantity, and vice versa.
Value of Many to One
To find the value or quantity of a single item when multiple items are given, we divide the total value by the number of items.
Value of One to Many
To find the value or quantity of multiple items when a single item's value is known, we multiply the unit value by the required number of items.
Important Formulas
Board Exam Info
In ICSE Class 7 Mathematics, questions from the Unitary Method typically carry around 5 to 8 marks in the final examinations. Common question types include word problems based on cost and quantity, time and work, and consumption of provisions by a group of people.
Frequently Asked Questions
How do I know whether to multiply or divide first?
Always find the value of one unit first using division. Once you have the unit value, multiply it to find the value of more units.
What is the difference between direct and inverse variation?
In direct variation, both quantities increase or decrease together. In inverse variation, as one quantity increases, the other quantity decreases.
Why is it called the 'unitary' method?
It is called unitary because the entire method relies on finding the value of a single (unit) item before calculating the final answer.
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