Mermaid maths quest: ratio

Quick answer

Ratios help us compare how much of one thing there is compared to another, like how many pearls are in a necklace compared to how many shells. In a Mermaid Maths Quest, you'll use ratios to mix potions, build coral castles, and share treasure fairly.

Learning outcome

By the end of this page, you will understand how to compare amounts using ratios and use them to solve simple problems in fun underwater adventures.

• You can show how two amounts relate using a ratio like 3:2
• You can find equal ratios by multiplying both parts of a ratio
• You can use ratios to share things fairly, like treasure or ingredients
• You can solve simple ratio problems using pictures or objects

Why this matters

Ratios help us understand how things compare in the real world. Whether you're sharing cookies, mixing paint, or planning a party, ratios are everywhere. In your Mermaid Maths Quest, you'll use ratios to mix magical potions, build underwater cities, and make sure everyone gets their fair share of treasure. This skill helps you think about how things are connected and how to share fairly.

How it works

Ratios are like a special way to compare two amounts. We write them with a colon (:) between the numbers. For example, if you have 3 red pearls and 2 blue pearls, the ratio is 3:2. This means for every 3 red pearls, there are 2 blue pearls.

1. First, count how much of each thing you have
2. Write the amounts as a ratio using a colon
3. Check if the ratio can be made bigger or smaller by multiplying both numbers
4. Use the ratio to solve problems or share things fairly

Examples you can see

Imagine you're a mermaid collecting treasures. You find 4 seashells and 6 starfish. Your ratio of shells to starfish is 4:6. This means for every 4 shells, you have 6 starfish.

Now, let's simplify this ratio. Both 4 and 6 can be divided by 2. So 4:6 becomes 2:3. This means for every 2 seashells, there are 3 starfish.

Another example: You're mixing a magical potion for your underwater friend. The recipe says to use 2 drops of blue potion and 3 drops of green potion. This ratio is 2:3. If you want to make a bigger potion, you can double it to 4:6 or triple it to 6:9.

Try it as a mini adventure

Join Mermaid Mia on her quest to create the perfect underwater garden! She needs to plant flowers using a special ratio.

Mermaid Mia's Garden Adventure

1. First time: Mia plants 3 red flowers and 6 blue flowers. What is the ratio of red to blue?
2. Second time: Mia wants to plant 6 red flowers. How many blue flowers should she plant to keep the same ratio?
3. Third time: Mia plants 9 red flowers and 18 blue flowers. What is the simplified ratio?
4. Fourth time: Mia wants to share 15 pearls equally between 3 friends. What ratio shows this sharing?

Can you help Mia solve these ratio problems?

Common mistakes

• Mistake: Writing the ratio backwards, like 6:3 instead of 3:6 for shells to starfish.
  Why it happens: Confusion about which amount comes first.
  Fix: Always read the ratio carefully and remember what you're comparing.
• Mistake: Thinking 4:8 means 4 is bigger than 8.
  Why it happens: Not understanding that ratios show relationships, not absolute sizes.
  Fix: Remember that 4:8 means for every 4 of one thing, there are 8 of another.
• Mistake: Forgetting to simplify ratios.
  Why it happens: Not knowing how to divide both numbers by the same amount.
  Fix: Find a common number that both parts can be divided by.

Parent and carer guide

Help your child understand ratios by using everyday examples. For instance, when cooking, ask them to help mix ingredients using ratios. You could say, "We need 2 cups of flour for every 1 cup of sugar." This helps them see ratios in action.

Ask questions like:

• How many red shells do you have compared to blue shells?
• If we double the number of red shells, how many blue shells should we have?
• Can you make a pattern using 3 red and 2 blue beads?

Remember: ratios don't need to be complicated. Start with simple comparisons and build up. Don't worry if your child gets confused at first - it's normal to need time to understand.

Practice questions

1. There are 5 starfish and 10 seashells. What is the ratio of starfish to seashells?
2. If the ratio of red to blue fish is 3:4 and there are 12 blue fish, how many red fish are there?
3. Simplify the ratio 8:12.
4. There are 6 red pearls and 9 blue pearls. What is the simplified ratio?
5. If you share 20 pieces of treasure between 4 friends, what is the ratio of treasure to friends?

Answers

1. 5:10 or simplified 1:2
2. 9 red fish
3. 2:3
4. 2:3
5. 20:4 or simplified 5:1

FAQ

What is a ratio?

A ratio is a way to compare two amounts using a colon. For example, if you have 3 apples and 2 oranges, the ratio is 3:2.

How do I simplify a ratio?

To simplify a ratio, find a number that both parts can be divided by. For example, 6:8 can be simplified to 3:4 by dividing both by 2.

Why do we use ratios?

Ratios help us understand relationships between things and share things fairly. They're used in cooking, art, building, and many other activities.

Can ratios be bigger than 1?

Yes! Ratios can show any relationship. If you have 5 red fish and 2 blue fish, the ratio is 5:2, which means there are more red fish.

How can I practice ratios at home?

Try comparing different things around your home, like 4 spoons and 8 forks, or 3 red toys and 6 blue toys. Write the ratios and see if you can simplify them.