# Ratio, Proportions and Percentages

## Introduction to Ratio, Proportions and Percentages

The world of mathematics of numbers is vast and varied. When your child was introduced to numbers, their main focus was on understanding value and place. Then the focus shifted to internalising operations such as addition, subtraction, multiplication and division. From there they journeyed through the lands of factors, multiples and prime numbers. Now, they have arrived here, in the domain of fractions, decimals, ratios, proportions and percentages.

## The Big Idea: What are Ratios, Proportions and Percentages?

These three topics are a natural extension of the concept of **fractions** and **decimals**. Therefore, make sure you check out those pages and thoroughly understand them before attempting to start on ratios, proportions and percentages.

### What is a Ratio?

Imagine you are trying to mix paint. You put 3 units of red paint then add 7 units of blue paint into a tumbler. What would be the relation between red and blue in that tumbler?

A ratio is **the comparison of two values that are parts of a whole**.

### What are Proportions?

Refer to the image above, in the tumbler the total paint is 10 units to proportions would be,

While ratios define the relation between two or more parts of the whole, whereas **proportions describe the relation of each part’s contribution to the whole**.

### What are Percentages?

Once again taking the example of the paint in the tumbler. The same tumbler could be said to contain 30 per cent or **30%** red paint and 70 per cent or **70%** blue paint.

A percentage **describes the parts per hundred**.

## How do I understand

### The Foundational Nature of Ratio, Proportions and Percentages

## Sub Topics

Here are a few links that will take you through the journey that every Cuemath students undertakes in the pursuit of understanding Ratio, Proportions and Percentages along with practice worksheets:

## How to Teach your Child Ratios, Proportions and Percentages?

As stated above, a thorough understanding of topics like fractions and decimals is of paramount importance while embarking on your journey to master ratios, proportions and percentages. Here are a few simple steps to achieve just that:

**Chunking:** This is a practice in preparation that ensures that foundational concepts are always polished and reinforced. So, ensure that you include a brief revision of previous concepts of fractions and decimals while building up your child’s understanding of ratios, proportions and percentages.

**Flash Cards:** These are the tools that sharpen your child’s brain and keep them on their toes. During their study time, dedicate about 30 minutes to drilling flash cards so that crucial concepts can be reinforced while strengthening mental math skills as well.