Update Time 4 Fractions – Problem #6 – Stacking blocks

My daughter and I went on a 12 week-journey last year to explore Fractions. We are doing it again this Fall. I am updating the posts from last year with videos, in case you want to join us this yearClick here if you want to know more about the journey and the previous problems.

Here is Problem #6, a second partitive division problem.


Time 4 Fractions –  Problem #6 – Stacking blocksT4F_Pb#6

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

  1. modeling the problem with manipulatives (such as buttons, marbles, etc, and small containers),
  2. representing the problem on a piece of paper, and/or
  3. 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 (Level Yellow: 2 blocks/tower, 1 block left; Level Orange: 3 blocks / tower, 1 block left) .

Sharing my experience (Fall 2015)RepresentationProblem6

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.

Sharing my experience (Fall 2016)

Our experience this week was quite similar to last year. Time to move to fraction problems!


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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