*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.

Enjoy !

Reference

Empson, S. E., and Levi, L. (2011). Extending Children’s Mathematics: Fractions and Decimals. Portsmouth, NH : Heinemann. ISBN-13: 978-0325030531.

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June 13th, 2016 at 3:49 pm

For level orange, I loved how one of my kids divided each banana into four parts while my other child gave out four whole bananas and then just divided the last banana into fourths. That led to a good discussion on whether the answers were really different or not.

June 13th, 2016 at 3:56 pm

Really cool. You just open the door to fraction equivalents !