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Making Maths

Origami Folds maths mission

A junior real-world challenge using origami folds to practise fractions without feeling like a worksheet.

Quick answer

Origami folds help you learn fractions by folding paper into equal parts, making it easy to see how many parts make a whole.

Learning outcome

By the end of this page, you will understand how folding paper in origami helps you make equal parts and learn fractions like halves, quarters, and thirds. Success signs:
  • You can fold a piece of paper into halves, quarters, and thirds
  • You can explain what a fraction means using origami
  • You can share a pizza using equal parts, just like folding paper
  • You can see how folding paper helps you understand fractions in real life

Why this matters

Origami is more than just folding paper – it's a way to learn maths. When you fold paper, you make equal parts, which is exactly what fractions are about. Understanding how to split things equally helps you in cooking, sharing, and even in games. Learning fractions through origami makes it fun and easy to understand.

How it works

Folding paper into equal parts means you divide the paper into the same size pieces. When you fold a piece of paper in half, you make 2 equal parts. When you fold it in quarters, you make 4 equal parts. These equal parts help us understand fractions. Let's start with simple steps:
  1. Take a piece of paper
  2. Fold it in half – this makes 2 equal parts
  3. Fold it again – this makes 4 equal parts
  4. Each part is one quarter or one-fourth of the whole paper

Examples you can see

Let's look at how we can fold paper to make equal parts and learn fractions. Example 1: Folding in Half If you fold a piece of paper in half, you get 2 equal parts. Each part is one half of the whole paper.
  • Whole paper = 1
  • One half = ½
Example 2: Folding in Quarters If you fold a piece of paper in half and then in half again, you get 4 equal parts.
  • Each part is one quarter or ¼
  • Two quarters = ½
Example 3: Folding in Thirds If you fold a piece of paper into thirds, you get 3 equal parts.
  • Each part is one-third or ⅓
You can use these folds to understand how to share things fairly. For example, if you have a pizza and want to share it equally between 4 friends, each person gets one quarter of the pizza.

Try it as a mini adventure

Origami Folds Maths Mission You are a young explorer on a mission to help a friendly alien who loves pizza but doesn't understand how to share it fairly. The alien has a pizza and wants to split it into equal parts for 2, 3, and 4 friends. Mission Steps:
  1. Take a piece of paper and fold it in half to make 2 equal parts
  2. Unfold it and fold it in half again to make 4 equal parts
  3. Count how many parts you made
  4. Now fold it into thirds to make 3 equal parts
  5. Draw a pizza on the paper and show how to split it into equal parts
Challenge: How many different ways can you fold a piece of paper to make equal parts? Try folding it in half, then in half again, and again. What do you notice?

Common mistakes

  • Mistake: Folding the paper unevenly
    Why it happens: Not being careful or not measuring the fold
    Fix: Use your fingers to make the fold straight and check that both sides look the same
  • Mistake: Thinking that 2 parts are always halves
    Why it happens: Not understanding that halves must be equal
    Fix: Check that both parts are the same size when folded
  • Mistake: Not counting the parts correctly
    Why it happens: Getting confused when folding more than once
    Fix: Count each part as you fold and say the number out loud

Parent and carer guide

As a parent or carer, you can help your child by:
  • Letting them fold paper in different ways and talk about what they see
  • Using real-life examples like sharing a pizza or a cake
  • Practising counting the parts after each fold
  • Encouraging them to explain how many parts they made
  • Not worrying if they make a mistake – it's part of learning!
How to help in 5 minutes: 1. Take a piece of paper and fold it in half. 2. Ask your child to count how many parts you made. 3. Try folding it again to make quarters. 4. Draw a simple pizza and split it into equal parts. 5. Ask your child to explain how they know the parts are equal.

Practice questions

  1. If you fold a piece of paper in half, how many equal parts do you get?
  2. If you fold it in half again, how many equal parts do you get?
  3. What fraction is each part if you fold the paper into 4 equal parts?
  4. If you fold a pizza into 3 equal parts, what fraction is each part?
  5. How many parts do you get if you fold a piece of paper into thirds?
Answers:
  1. 2 equal parts
  2. 4 equal parts
  3. One quarter or ¼
  4. One-third or ⅓
  5. 3 parts

FAQ

What is a fraction?

A fraction is a way to show how many parts of something you have. For example, if you have a pizza and cut it into 4 pieces, each piece is one-fourth or ¼ of the pizza.

Why does origami help with learning fractions?

Origami helps because when you fold paper, you make equal parts. These equal parts help you understand how fractions work in a fun and hands-on way.

Can I use any shape for origami to learn fractions?

Yes! You can use any shape, but a square piece of paper works best for making equal parts. You can also use rectangles or triangles, but it's easier to start with squares.

How can I practice fractions at home?

You can practice by folding paper, sharing snacks, or drawing shapes and dividing them into equal parts. Try folding a piece of paper into halves, quarters, and thirds to see how many parts you get each time.

What are some real-life uses of fractions?

Fractions are used in cooking, sharing food, measuring things, and even in games. For example, when you split a pizza or a cake, you are using fractions to make sure everyone gets a fair share.