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Maths Adventures

Dragon maths quest: fractions

A story-led junior maths adventure using hoards, scales and fiery puzzles to split food, maps and treasure into equal parts.

Quick answer

Fractions are parts of a whole, and you can split things into equal parts to understand fractions better.

Learning outcome

By the end of this page, you will understand how to split things into equal parts and use simple fraction names like half, quarter, and third to describe parts of a whole. Success signs:
  • You can show how to split a pizza into 4 equal slices
  • You can say what one slice is called when you split a cake into 2 equal parts
  • You can draw a picture to show a fraction like 1/3
  • You can share 6 cookies equally between 2 friends

Why this matters

Fractions help you share things fairly, understand how much of something you have, and solve puzzles. In Dragon maths quest, you'll use fractions to split treasure, divide food, and solve puzzles that protect the dragon's hoard. Fractions are used everywhere: when you split a sandwich with a friend, share a pizza, or measure ingredients for a recipe.

How it works

Fractions are about splitting things into equal parts. The top number (numerator) tells you how many parts you have. The bottom number (denominator) tells you how many equal parts the whole thing was split into. For example, if you split a cake into 4 equal pieces and take 1 piece, you have 1/4 of the cake.

Examples you can see

Let's imagine you are on a Dragon maths quest and you find a treasure map. The map is a big square piece of paper. You need to split it into equal parts so that you and your friend can each have a piece to study.
  • Split the map into 2 equal parts: Each part is 1/2 of the map
  • Split the map into 4 equal parts: Each part is 1/4 of the map
  • Split the map into 8 equal parts: Each part is 1/8 of the map

Real-world example: Dragon's Feast

Imagine you are helping the dragon cook a feast. The dragon wants to share a whole pizza with 4 friends. You need to split the pizza into 4 equal pieces so everyone gets the same amount.
  • Each person gets 1/4 of the pizza
  • Two people together get 2/4 or 1/2 of the pizza

Another example: Dragon's Treasure

You find a chest with 12 gold coins. You want to split them equally between 3 friends. How many coins does each friend get?
  • 12 ÷ 3 = 4 coins each
  • Each friend gets 4/12 of the coins
  • This is the same as 1/3 of the coins

Try it as a mini adventure

Dragon Maths Quest: The Fraction Puzzle You are on a quest to help the dragon find the secret treasure. The dragon's map is hidden inside a puzzle box that opens only when you solve a fraction puzzle.

Step 1: The Dragon's Map

You find a square map. You need to split it into 4 equal parts to show the dragon where to go. How do you do this?
  • Draw a line down the middle
  • Draw a line across the middle
  • Now you have 4 equal parts

Step 2: The Food Sharing

You find 8 cookies in the dragon's kitchen. You need to share them equally between 2 friends. How many cookies does each friend get?
  • 8 ÷ 2 = 4 cookies
  • Each friend gets 4/8 of the cookies
  • This is the same as 1/2 of the cookies

Step 3: The Treasure Chest

You find a chest with 15 gold bars. You want to split them equally between 5 dragons. How many gold bars does each dragon get?
  • 15 ÷ 5 = 3 gold bars
  • Each dragon gets 3/15 of the gold bars
  • This is the same as 1/5 of the gold bars

Common mistakes

  • Mistake: Thinking that 1/3 and 1/4 are the same size
    Why it happens: Children might not see that 1/3 is larger than 1/4 because 3 is larger than 4
    Fix: Use objects like blocks or drawings to show that 1/3 is more than 1/4
  • Mistake: Counting the whole as part of the fraction
    Why it happens: Children might say 3/4 means 3 parts out of 4, but include the whole
    Fix: Always make sure the denominator (bottom number) shows how many equal parts the whole was split into
  • Mistake: Not recognizing that 2/4 is the same as 1/2
    Why it happens: Children may not understand that fractions can be simplified
    Fix: Use visual models or sharing examples to show that 2/4 is the same as 1/2

Parent and carer guide

You can help your child learn fractions by using everyday situations. Ask questions like:
  • How would you split this pizza between 3 people?
  • If you have 10 cookies and 2 friends, how many cookies does each person get?
  • Can you show me what 1/4 of your toys looks like?
What to say:
  • Try to use real objects like food, blocks, or drawings
  • Ask your child to explain how they split something into equal parts
  • Use fraction language: "half", "quarter", "third", "whole"
What not to worry about:
  • Children might mix up numerator and denominator at first
  • They might not understand that 2/4 is the same as 1/2 right away
  • It's normal to need lots of practice with visual models

Practice questions

  1. If you split a cake into 3 equal pieces, what fraction is each piece?
    Answer: 1/3
  2. You have 12 apples and want to share them equally between 4 friends. What fraction of the apples does each friend get?
    Answer: 3/12 or 1/4
  3. You split a pizza into 8 equal slices. You eat 2 slices. What fraction of the pizza did you eat?
    Answer: 2/8 or 1/4
  4. If you split a chocolate bar into 6 equal pieces, what fraction is each piece?
    Answer: 1/6
  5. You have 10 cookies and 5 friends. What fraction of the cookies does each friend get?
    Answer: 2/10 or 1/5

FAQ

What does a fraction mean?

A fraction is a way to show part of something. It tells you how many parts you have compared to how many equal parts the whole thing was split into.

How do you write a fraction?

You write a fraction with two numbers. The top number (numerator) shows how many parts you have. The bottom number (denominator) shows how many equal parts the whole was split into.

Can you give me examples of common fractions?

Yes! Common fractions are 1/2 (half), 1/3 (third), 1/4 (quarter), 1/5 (fifth), and 1/10 (tenth).

How can I practice fractions at home?

You can practice by sharing food, splitting toys, using fraction circles, or drawing pictures of fractions.

What if I don't understand fractions?

That's okay! Fractions take time to learn. Use objects, drawings, and real-life examples to help you understand. Ask for help when you need it.