Proportionality is one of those math concepts we use most in our everyday life. Proportion is the relation between two equal or different quantities. There are different types of proportion but in this article we’re going to be discussing just one of them: direct proportionality.

In order for the relation between two quantities to be proportionally direct, these quantities should be related in way that both increase and decrease proportionally and, at the same rate. 

Proportionality is not an easy concept  to teach in elementary school. I think the best way to explain it is to help children understand how it applies in real life.

Let’s look at some examples: 

•  If we can fit 3 pineapples in one box, how many boxes would we need for 9 pineapples.
• There are 10 chewing gums in one pack. How many chewing gums are there in 3 packs?
• Two kilos of potatoes cost me 4€. How much would one kilo cost?

These are easy math calculations that we find ourselves doing constantly in everyday life. We can learn how to calculate even faster, understanding the relation between the two quantities. Ratio, or in other words, proportion is the quotient between two numbers. In the first example, 9/3 would equal 3. We would need 3 boxes to carry 9 pineapples.  It’s important to know that the quotient (ratio) never changes.

• 3 boxes for 9 pineapples
• 9 boxes for 27 pineapples

At Smile and Lean, we’re working on a new game that helps children practice direct proportionality. It will be available very soon! Let’s learn together!