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Exploring Equivalent Ratios

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Exploring Equivalent Ratios worksheet preview

Exploring Equivalent Ratios

Equivalent ratios visual

🎯 Learning Goals

I can statements:

• I can explain what an equivalent ratio is

• I can create equivalent ratios by multiplying or dividing both terms

• I can recognize equivalent ratios in tables and visual models

📚 Key Definition

Equivalent ratios name the same relationship between two numbers, even if the numbers look different.

Example: 2:3 is equivalent to 4:6 because both show the same relationship.

✏️ Creating Equivalent Ratios

1. Complete this table to find equivalent ratios for 3:5
Base Ratio Multiply by 2 Multiply by 4 Multiply by 10
3 : 5 ___ : ___ ___ : ___ ___ : ___
2. Find three equivalent ratios for 4:7

First equivalent ratio: _____ : _____

Second equivalent ratio: _____ : _____

Third equivalent ratio: _____ : _____

3. Circle the ratios that are equivalent to 6:9

2:3

12:18

3:6

18:27

4. True or False: 8:12 is equivalent to 2:3

True

False

Explain your answer: _________________________________

🔍 Reflection & Understanding

5. Explain in your own words: What makes two ratios equivalent?
6. Describe two different ways to create equivalent ratios from 5:8

Method 1:

Method 2:

7. A recipe calls for 2 cups of flour to 3 cups of sugar. If you want to make a larger batch using 8 cups of flour, how much sugar do you need?

Show your work:




Answer: _______ cups of sugar

✅ Success Check

Can you do these? Check yourself:

I can generate at least three equivalent ratios for any given ratio

I can complete tables of equivalent ratios

I can explain my reasoning about equivalent ratios

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