This is the sixth post related to our Time 4 Fractions journey. Please click here to start from the beginning.
Here is Problem #6, a second partitive division problem.
Level Yellow – Emmy has 5 wooden blocks. She wants to make 2 towers as tall as possible, using the same number of blocks in each tower. How many blocks should she use in each tower?
Level Orange – Emmy has 13 wooden blocks. She wants to make 4 towers as tall as possible, using the same number of blocks in each tower. How many blocks should she use in each tower?
Level Red – Emmy has 23 wooden blocks. She wants to make ___ towers as tall as possible, using the same number of blocks in each tower. How many blocks should she use in each tower?
Invite your child to solve one of the problems by
- modeling the problem with manipulatives (such as buttons, marbles, etc, and small containers),
- representing the problem on a piece of paper, and/or
- writing an equation.
When your child is done, invite him/her to share his/her reasoning with you. If your child only writes an equation, encourage him to represent or model the problem as well, and connect the parts of the equation to the model/representation.
This week, all levels involve a remainder.
Sharing my experience
I do not know about your child, but at week 6 of our Time 4 Fractions journey, it seems that my child has her own routine to solve the problem, through at least 2 Levels. She starts with modeling level Yellow, and usually draws a picture to solve level Orange and/or Red. Then, she adds an equation that would match her drawing. This week was no different. She modeled Level Yellow, and drew the blocks, one at a time, in 4 towers, to solve Level Orange. If you remember, in Problem #4, Ms Butternut ended up with some wheels left, and it did not seem to bother my child. This week was a little different, as Rosie was not sure what to do with the block left. “I can cut it, right? Well, no, I guess I can’t cut a block“. And finally decided to draw the 13th block (rather small) on a corner of her sheet.