This is the ninth post related to our Time 4 Fractions journey. Please click here to start from the beginning.
Another Equal Sharing problem (Empson & Levi, 2011) to help children make connections with fractions.
Time 4 Fractions – Problem #9 – Sharing bananas
Level Yellow – 2 children want to share 5 bananas so that each of them gets the same amount. How many bananas would each get?
Level Orange – 4 children want to share 5 bananas so that each of them gets the same amount. How many bananas would each get?
Level Red – 5 children want to share 4 bananas so that each of them gets the same amount. How many bananas would each get?
Invite your child to either model the problem (with paper and scissors for instance) and/or represent the problem with a picture. If your child has learned about fractions at school, invite him/her to connect symbols to the model or picture. And as always, invite your child to share his/her reasoning with you !
Level Yellow involves halves, level Orange, fourths and Level Red, fifths. Level Yellow leads to a mixed number (2 1/2) although it may make more sense to some children to give each child 2 bananas, and have a banana left. Level Orange lead to a mixed number (1 1/4 ), level Red to a proper fraction (4/5).
Sharing my experience
My child got a little frustrated with Level Red. If it happens to your child, you may want to change the problem a little to 5 children sharing 1 banana. It was a good alternative for us.
Empson, S. E., and Levi, L. (2011). Extending Children’s Mathematics: Fractions and Decimals. Portsmouth, NH : Heinemann. ISBN-13: 978-0325030531.