Using tables to show equivalent ratios is a great way to understand ratios clearly. Let’s make it super simple!

What Are Equivalent Ratios?

Equivalent ratios are different ways to show the same relationship between amounts.

For instance, the ratio 2:3 is the same as 4:6 because they both represent the same proportion.

Creating a Table

Let’s use a simple ratio, like 1:2, to make a table with its equivalent ratios.

| Multiplier | Ratio | |------------|----------| | 1 | 1:2 | | 2 | 2:4 | | 3 | 3:6 | | 4 | 4:8 | | 5 | 5:10 |

Filling in the Table

1. Start with a ratio: We begin with 1:2.
2. Pick a multiplier: Choose whole numbers like 1, 2, 3, and so on.
3. Multiply both parts of the ratio by the multiplier.

For example, if we use 3 as the multiplier, it looks like this:

1 multiplied by 3 and 2 multiplied by 3 gives us:

3:6

Why Use Tables?

Tables help us see the connections and patterns in ratios. They make it easier to understand how ratios grow.

Plus, they let us quickly create a list of equivalent ratios. This helps students practice and really get the idea.

So, next time you work with ratios, don’t forget that tables can be a handy tool to explore the amazing world of math!