Making Maths
Maths hiding in making things: origami folds
Use folds to make halves, quarters and symmetry.
Quick answer
Origami folds help us understand halves, quarters, and symmetry by folding paper into equal parts.Learning outcome
By the end of this page, you will be able to fold paper to make equal parts and see how symmetry works in real life. Success signs:- You can fold a square paper into halves and quarters
- You can spot lines of symmetry in your folded paper
- You can explain how folding helps you see equal parts
- You can make a simple origami shape using folds
Why this matters
Origami teaches us important maths ideas like fractions, symmetry, and equal sharing. When you fold paper, you're not just making a pretty bird or boat – you're learning how numbers work in real life. This helps you understand how things can be split evenly, how shapes can match perfectly, and how maths is all around you. Think about it: when you share a pizza with friends, you're making halves and quarters. When you fold a piece of paper in half to make a card, you're creating symmetry. These are all skills you'll use in school and in your daily life.How it works
Folding paper is like dividing things into equal parts. When you fold a square paper in half, you make two equal pieces. When you fold it in half again, you make four equal pieces – that's quarters. Each fold creates a line of symmetry, where one side perfectly matches the other. Let's start with simple steps:- Take a square piece of paper
- Find the middle by folding one corner to the opposite corner
- Unfold and fold the other way to make a second line
- Repeat to make more folds
Examples you can see
Let's imagine you're making a paper airplane. You start with a square piece of paper. First, you fold it in half to make a rectangle. This is one half. Then you fold it in half again to make quarters. Now you have four equal parts. Example 1: Folding into halves- Start with a square paper
- Fold it in half by bringing one side to meet the opposite side
- You now have two equal parts
- These parts are halves
- Start with a square paper
- Fold it in half (this makes two halves)
- Fold it in half again (this makes four quarters)
- You now have four equal parts
- When you fold a paper in half and draw a shape, then cut it out, you get two matching halves
- When you unfold the paper, you see a symmetrical shape
Try it as a mini adventure
The Paper Folding Challenge You are a paper folding explorer on a mission to discover how many different shapes you can make using just folds! Step 1: Take a square piece of paper. Fold it in half. What shape did you make? (A rectangle!) Step 2: Unfold it. Now fold it in half the other way. What shape did you make? (A rectangle!) Step 3: Unfold it again. Now fold it in half diagonally. What shape did you make? (A triangle!) Step 4: Unfold it. Now fold it into quarters. How many folds did you make? (Two folds!) Step 5: Draw a simple shape on one quarter of the paper, then cut it out. When you unfold it, what shape do you see? (A symmetrical design!) Step 6: Try making different patterns. What happens if you fold the paper into quarters and then fold each quarter in half again? (You make eighths!)Common mistakes
- Mistake: Folds aren't straight or even Why it happens: The paper isn't aligned properly or the fingers don't guide the fold well Fix: Use your fingers to guide the fold, and check that the edges line up before you press down
- Mistake: Not making equal parts Why it happens: The paper isn't folded in the exact middle Fix: Try folding one corner to the opposite corner to find the middle, then unfold and fold the other way
- Mistake: Thinking that all folds make equal parts Why it happens: Confusing folding with cutting or tearing Fix: Remember that a fold divides the paper into equal parts, while cutting divides it into unequal parts
Parent and carer guide
Folding paper is a fun way to help your child understand fractions and symmetry. Here's how to help: What to say:- "Let's fold this paper in half – what do we call each part?"
- "Can you find the middle of the paper?"
- "What happens when we fold it in half again?"
- "Can you draw a shape that will make a symmetrical pattern?"
- It's okay if the folds aren't perfect – the learning is in the process
- Don't worry if they make mistakes – they're learning!
- Focus on the maths, not the finished product
- Give your child a square piece of paper
- Ask them to fold it in half and explain what they made
- Then ask them to fold it in half again and explain what they made
- Let them draw or cut out shapes and see what happens when they unfold
- Ask questions like "How many equal parts do you have?" or "What line of symmetry did you make?"
Practice questions
- How many equal parts do you make when you fold a piece of paper in half?
- If you fold a paper in half and then in half again, how many equal parts do you have?
- What do you call each part when you fold a paper into quarters?
- How many folds do you need to make 8 equal parts?
- What shape do you make when you fold a square paper diagonally?
- Two equal parts
- Four equal parts
- Quarters
- Three folds
- A triangle
FAQ
What happens if I don't fold the paper exactly in half?
If you don't fold the paper exactly in half, the parts won't be equal. This can make it harder to understand fractions and symmetry.
Can I use any type of paper for origami?
Yes, but square paper works best for learning about halves and quarters. You can use regular paper, but you'll need to cut it to make it square.
How does folding help with understanding symmetry?
When you fold paper, you create a line of symmetry. If you draw or cut a shape on one side, the other side will match perfectly when unfolded.
What are some simple origami shapes I can make?
Simple shapes include paper airplanes, boats, frogs, and stars. Each starts with basic folds to make equal parts.
Can I use this learning for other maths?
Yes! Folding paper helps with understanding fractions, geometry, patterns, and even multiplication when you think about how many parts you make.