Regular rings 2
What shape is made when you fold using this crease pattern? Can you make a ring design?
Age
7 to 11
Challenge level
Problem
You might like to try Regular Rings 1 before having a go at this challenge.
Below is a picture of an unfolded piece of paper.
Can you work out what shape is made when it's folded up using the crease pattern shown?
Image
Click below if you want to see the shape.
Image
Can you make one of these shapes with a new piece of paper?
Now make several of the same shape from A4, A5 and A6 pieces of paper in two contrasting colours.
Challenge 1
Take a large and small shape made from your first colour and a medium shape made from your second colour.
Make a pattern from your shapes, by laying them on top of each other, that fits both of these rules:
You must be able to see at least part of each shape.
All three shapes must fit inside the perimeter (outline) of the largest shape.
Challenge 2
Use a new large, medium and small shape to recreate the same pattern but in opposite colours from Challenge 1.
Place these two patterns next to each other and continue to fold and add to your pattern until you've made a ring.
Can you predict how many of your original Challenge 1 pattern you will need?
We would love to see photos of the ring you make.
Getting Started
One of the four folds is 'undone' along the way.
What do you notice about the different types of fold on the crease pattern? Can you tell which direction each fold is in?
What order do you think the folds were made in?
How could we check what we've done so far?
What do you notice about the different types of fold on the crease pattern? Can you tell which direction each fold is in?
What order do you think the folds were made in?
How could we check what we've done so far?
Student Solutions
Children at St. George's School sent in the following three designs, well done indeed. Hopefully they will inspire others to have a go at being creative with this activity's ideas.
Image
Image
Image
Teachers' Resources
Regular Rings 2
You might like to try Regular Rings 1 before having a go at this challenge.
Below is a picture of an unfolded piece of paper.
Can you work out what shape is made when it's folded up using the crease pattern shown?
Image
Click below if you want to see the shape.
Image
Can you make one of these shapes with a new piece of paper?
Now make several of the same shape from A4, A5 and A6 pieces of paper in two contrasting colours.
Challenge 1
Take a large and small shape made from your first colour and a medium shape made from your second colour.
Make a pattern from your shapes, by laying them on top of each other, that fits both of these rules:
You must be able to see at least part of each shape.
All three shapes must fit inside the perimeter (outline) of the largest shape.
Challenge 2
Use a new large, medium and small shape to recreate the same pattern but in opposite colours from Challenge 1.
Place these two patterns next to each other and continue to fold and add to your pattern until you've made a ring.
Can you predict how many of your original Challenge 1 pattern you will need?
We would love to see photos of the ring you make.
Why do this problem?
This problem provides the opportunity to develop visualisation skills. It requires children to solve the conundrum of what happens in between, when they are given a picture of a crease pattern and the finally-folded shape.
Possible approach
Just share/project/show the picture of the crease pattern first and allow children to talk about what shape they think it might make when re-folded.Then share the picture of the ready folded shape (or a real one you made earlier!) and ask children to talk about what they think now.
Give each pair of children a piece of A-sized paper (A4 is easier for smaller hands or beginner folders, but any A size will work) and ask them to try and recreate the shape. They can of course un-do their folds at any point in order to check whether their crease pattern matches the one in the picture.
Here are some examples of regular rings made with pentagons by children at Abbot's Hill School in Hemel Hempstead, which you may or may not wish to share with your class:
Image
Image
Key questions
What do you notice about the different types of fold on the crease pattern?What order do you think the folds were made in?
How could we check what we've done so far?