# Equivalent Ratios

## What is the resource?

This PDF provides examples of ratios, demonstrating how they can look different but express the same relationship. Best for learners to first grapple with the concept.

## Why are equivalent ratios important?

Real-world quantities come in messy sizes, ratios keep proportions under control:

- Recipes: Doubling ingredients uses ratios, even if it starts as '1 cup : 3 eggs' and must scale up.
- Maps & scale drawings: 'Distance on paper' has to stay in ratio with the reality it represents, else it's useless.
- Mixing quantities: Paint colours and even chemical solutions depend on accurate ratios for the desired result.
- Understanding data: When 2 out of 5 kids do X... that's the same ratio as 40 out of 100 in a school doing it.

## Why is this resource helpful?

It offers easy-to-understand examples showing ratio manipulations to support key skills:

- Simplifying: Like simplifying fractions, makes big quantities less clumsy to deal with in further work.
- Step-by-step method: Shows what to multiply/divide with, turning 'mystery rules' into a repeatable procedure.
- Varied problem types: Word problems included, helping make sense of real contexts involving ratio thinking.
- Printable PDF: Ideal for introductory lessons (whole class) then to review or for extra support on any task.

Ratios stop being scary. Kids gain the tools needed to solve many practical problems – this confidence opens the door to more advanced maths down the line.

Also, have a look at our wide range of worksheets that are specifically curated to help your students practice their skills related to ratio. These teaching resources and worksheets are in PDF format and can be downloaded easily.