Arctic maths quest: fractions

Quick answer

Fractions are parts of a whole, and in the Arctic maths quest, you'll learn how to split food, maps, and treasure into equal parts to survive the cold.

Learning outcome

By the end of this page, you will understand how to share things equally using fractions, like splitting a pizza or dividing a map into parts.

• You can identify halves, quarters, and thirds of shapes and objects
• You can share items into equal parts and explain how many parts each person gets
• You can use fraction words like "half", "quarter", "third" to describe parts
• You can draw or make equal parts of a whole

Why this matters

Fractions help you share things fairly. In the Arctic maths quest, you need to split food, maps, and treasure so everyone in your team gets the same amount. Whether you're sharing a sandwich with a friend or dividing a map into sections, fractions help you make sure everyone gets a fair share. Fractions are used in cooking, sports, time, money, and even in games and puzzles!

How it works

Fractions are about sharing things equally. Let's break it down:

1. Whole – This is the full object, like one pizza or one map.
2. Parts – If you cut the pizza into 4 pieces, each piece is a part of the whole.
3. Denominator – The bottom number shows how many equal parts the whole is divided into. For 4 pieces, the denominator is 4.
4. Numerator – The top number shows how many parts you have. If you eat 1 piece, the numerator is 1.

So if you eat 1 out of 4 pieces of pizza, you eat 1/4 of the pizza.

Examples you can see

Imagine you are on an Arctic maths quest and you find a treasure map. The map is 12 inches long and you need to split it into 3 equal parts for your team. How long is each part?

Each part is 1/3 of the map. That’s 4 inches each.

Now, imagine you have 8 ice cubes and you want to share them equally between 2 friends. Each friend gets:

Each friend gets 4/8 of the ice cubes, which is the same as 1/2.

Try it as a mini adventure

Adventure: The Arctic Survival Challenge

You are part of a team on an Arctic maths quest. You find a box of 12 survival rations and must split them equally among 4 team members. How many rations does each person get?

1. Start with 12 rations
2. Split them into 4 equal groups
3. Each group has 3 rations
4. Each person gets 3/12 or 1/4 of the rations

Challenge: Now imagine you have 10 ice blocks and you want to split them into 5 equal parts. How many blocks are in each part?

1. 10 ice blocks
2. Split into 5 parts
3. Each part has 2 blocks
4. Each part is 2/10 or 1/5 of the ice blocks

Common mistakes

• Mistake: Thinking that 1/3 and 1/4 are the same size.
• Why it happens: Confusing the numbers in the fraction.
• Fix: Use shapes or objects to show that 1/3 is larger than 1/4.
• Mistake: Not knowing how to split things into equal parts.
• Why it happens: Not understanding that parts must be exactly the same size.
• Fix: Use visual aids like cut-out shapes or physical items to practice splitting.
• Mistake: Thinking that 2/4 means 2 pieces out of 4 parts.
• Why it happens: Mixing up numerator and denominator.
• Fix: Remember: numerator = number of pieces you have; denominator = total number of equal parts.

Parent and carer guide

Help your child by:

1. Using everyday objects like food or toys to show fractions
2. Encouraging them to draw shapes and split them into equal parts
3. Playing fraction games like "What part of the pizza did I eat?"
4. Using real-life examples like splitting a cake or a sandwich
5. Practising with simple fractions like halves and quarters

Don’t worry if they make mistakes – they’re learning! Ask questions like:

• “How many parts did you split it into?”
• “How many parts do you have?”
• “What fraction is that?”

Remember: fractions are about sharing fairly, so keep the focus on equal parts!

Practice questions

1. If you have 6 cookies and split them into 2 equal parts, how many cookies are in each part?
2. What fraction is 1 part of 8 equal parts?
3. You have 10 ice cubes and split them into 5 equal parts. How many cubes are in each part?
4. How many parts are in 1/5 of a whole?
5. You have 12 fish and split them into 3 equal parts. How many fish are in each part?

Answers:

1. 3 cookies
2. 1/8
3. 2 cubes
4. 5 parts
5. 4 fish

FAQ

What is a fraction?

A fraction is a way to show part of a whole. For example, if you eat 1 slice of a pizza that is cut into 4 slices, you eat 1/4 of the pizza.

How do I know if parts are equal?

Equal parts must be exactly the same size. You can check by placing them on top of each other or measuring them.

Why do we use fractions?

Fractions help us share things fairly. They are used in cooking, time, money, and many other real-life situations.

Can fractions be more than 1?

Yes! If you eat 3 slices of a pizza that is cut into 2 slices, you eat 3/2, which is more than one whole pizza.

How can I practice fractions at home?

Use food like pizza, sandwiches, or fruit. Cut them into equal parts and talk about how much each person gets.