Ratio Links

This worksheet gives students several completed ratio tables and asks them to choose any two columns from each table and write those two ratios as a proportion. The tables use relationships such as pencils and cost, tickets and cost, books and weight, batches and muffins, hours and miles, and packs and cards. Students must recognize that every column in a proportional table represents an equivalent ratio, so any two columns can be connected with an equals sign to make a true proportion.

For a parent, think of each column as one version of the same relationship. If 2 pencils cost $3 and 4 pencils cost $6, then 2:3 and 4:6 are equivalent. That means they can be written as the proportion 2/3 = 4/6. Students are learning how a ratio table can be turned into a proportion equation.

Learning Goals

• Read Ratio Tables: Students identify the paired quantities in each column.
• Choose Equivalent Ratio Pairs: Learners select any two columns from the same proportional table.
• Write Proportions: Students connect those two ratios with an equals sign.
• Connect Tables to Symbolic Notation: Learners move from a visual table to a mathematical equation.
• Understand Repeated Proportional Relationships: Students see that every column represents the same underlying rate.

Parent-Friendly Teaching Tips

Use this routine:

1. Pick two complete columns.
2. Write the first column as a ratio.
3. Write the second column in the same order.
4. Put an equals sign between them.

For example:

Pencils | Cost
2 | 3
4 | 6

Write:

2/3 = 4/6

You could also choose:

4/6 = 6/9

Both are correct because the table keeps the same proportional relationship.

Why This Worksheet Helps

• Connects Two Major Skills: Students link ratio tables with proportion equations.
• Reinforces Equivalent Ratios: Every selected pair must preserve the same relationship.
• Builds Flexible Thinking: Students may choose different valid columns and still produce correct proportions.
• Prepares for Proportion Solving: Learners become comfortable writing proportions before working with unknown values.
• Makes Tables More Meaningful: Students understand that each column is not isolated-it belongs to the same proportional family.

The real value of this worksheet is that it teaches students to translate a table of equivalent ratios into proportion notation. Tables, paired quantities, equivalent ratios, and equations all work together. For parents, the best coaching phrase is: “Pick two columns, keep the quantities in the same order, and set the ratios equal.”