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Introducing Ratios Worksheet

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Introducing Ratios Worksheet

Ratios and relationships illustration

📚 Part 1: Understanding Ratios

What is a ratio? A ratio is a comparison of two quantities. We can write ratios in three ways:

• Using the word "to": 3 to 5

• Using a colon: 3:5

• As a fraction: 3/5

1. In a classroom, there are 12 boys and 8 girls. What is the ratio of boys to girls?

8:12

12:8

8 to 20

12 to 20

2. A community garden has 6 tomato plants for every 4 pepper plants. Which of these shows the same ratio?

3:2

4:6

12:8

2:3

3. Which of these are ways to write ratios? (Check all that apply)

Using the word "to"

Using a colon (:)

As a fraction

Using addition (+)

4. At a recycling center, there are 15 plastic bottles and 10 glass bottles. Write the ratio of plastic bottles to glass bottles in three different ways:

Using "to": _____ to _____

Using a colon: _____:_____

As a fraction: _____/_____

🌱 Part 2: Equivalent Ratios and Real-World Connections

Equivalent ratios show the same relationship between quantities, just like equivalent fractions!

5. Complete this table of equivalent ratios for a school's solar panels to classrooms:

Solar Panels: 2, 4, _____, 8

Classrooms: 3, _____, 9, _____

6. A fair-trade coffee farm has 3 workers for every 2 acres of land. If the farm has 12 workers, how many acres do they have?
7. In a sustainable city, the ratio of electric cars to gas cars is 2:5. If there are 10 electric cars, how many gas cars are there?

Show your work:

Answer: _____ gas cars

8. A community composting program collects food scraps in a ratio of 4 pounds for every 3 families. Complete the table:

Families: 3, 6, 9, _____

Pounds of food scraps: 4, _____, _____, 16

🤔 Part 3: Think and Explain

9. A school has a ratio of 1 teacher for every 20 students. Explain why this ratio is important for a good learning environment:
10. Look around your classroom or home. Write one example of a ratio you can observe and explain why understanding this ratio might be helpful:
11. How do you think ratios help us understand relationships in our communities and environment? Give one specific example:

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