Teaching Functions in a grocery shop

https://www.thestar.com/life/parent/2013/12/09/real_food_trips_turn_grocery_store_into_a_classroom.html

A grocery store is sufficient for teaching the meaning of the concept functions.

  1. The meaning of a function is the first concept.

Each item in a grocery store is priced differently. Thus, the item is associated with the cost, and both the quantity of the thing and the cost are quantifiable.

If x is the item, then y is the cost. As a result, we can model as y=f(x), where x denotes the independent variable and y denotes the dependent variable on the set E.

The set E comprises a set of a groceries. Now, if a single item of the same brand and weight has a varied price, it makes no logic and serves no purpose.However, if multiple goods have the same pricing, it is referred to as a function.

https://www.canstockphoto.com/mapping-diagram-of-a-function-72719545.html

Similarly, the business cannot place a price tag on an item that is not physically there. This is nonsensical and does not serve a purpose.

However, depending on the item in the area, there may be no pricing owing to a variety of factors.This results in the formation of a concept known as function in mathematics.

2.The meaning of domain, codomain and range

The items in the shop are the domain’s elements, the prices of the items are the co-domain, and each item has a price in its range.

The distinction between domain, co-domain, and range is as follows:

http://mathonline.wikidot.com/different-types-of-functions

If the price of an item in a grocery store is not tagged, this price list is referred to as its co-domain.

And regardless of whether the price is indicated, all things in the shop are domain-owned. The price indicated for each item is referred to as its range.

As a result, two situations occur:

domain = co-domain=range (or) domain > co-domain,range < co-domain.

3.The meaning of one-one,Many-one,Onto and Into functions

When no two items have the same price, the concept of 1–1 function is discussed.

https://www.javatpoint.com/types-of-functions

If any two or more things have the same price, the function is Many-one.

https://www.javatpoint.com/types-of-functions

If each item in the shop has a unique price tag, the shop is active.And this is the case of onto function.(In this case, co-domain equals Range.)

https://www.careerstoday.in/maths/onto-function

If an item at a shop does not have a price tag for legitimate reasons, it is an Into function. Here, Range < co-domain.

https://www.javatpoint.com/types-of-functions

Conclusion: Thus, teaching concepts through the use of real scenarios fosters creativity and innovation, while also clarifying the principles.

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teaching mathematics and design, Sharing the experiences learned in the journey of life.

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Prashanthi Anand Rao

Prashanthi Anand Rao

teaching mathematics and design, Sharing the experiences learned in the journey of life.

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