Take One Metre
You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?
Age
5 to 7
Challenge level
Image
Use about 1 metre of paper (for example from a paper roll) and cut it into a few different lengths.
Image
Image
Image
Lay each strip out flat.
If two are the same length can you cut them again to make different lengths.
Measure each length as carefully as possible.
Find a way of recording all the lengths of the pieces that you have made.
You may like to find a ruler, or a measuring tape or ...
Take One Meter (Metre)
Image
Use about 1 metre of paper (for example from a paper roll) and cut it into a few different lengths.
Image
Image
Image
Lay each strip out flat.
If two are the same length can you cut them again to make different lengths.
Measure each length as carefully as possible.
Find a way of recording all the lengths of the pieces that you have made.
Why do this problem?
This problem gives opportunities for pupils to measure accurately. It therefore requires pupils to use measuring equipment carefully. It may also be an opportunity for teachers to instigate and/or facilitate a discussion about ignoring the end part of a ruler but using all of a tape measure.
Possible approach
Hand out many lengths of about 1 metre, and scissors, to all the pupils, perhaps one per pair or small group. Have available as many different types of measuring equipment that you can so learners can choose which they use. Be prepared for children to ask you for something else too and try to accommodate their request if possible.
Towards the end of the time you have, you could gather everyone together and try to order a selection of the strips of paper in terms of their lengths.
Towards the end of the time you have, you could gather everyone together and try to order a selection of the strips of paper in terms of their lengths.
Key questions
How long are your pieces? How sure are you?
How could you record all the lengths of your group?
How could you record all the lengths of your group?