# Visualizing Compensation

I was in a training today and they had us solve a Van de Walle problem called One Up, One Down. ย It goes like this:

When you add 7 + 7, you get 14. ย When you make the first number 1 more and the second number 1 less, you get the same answer. (Van de Walle, Karp, and Bay-Williams, 2013, pg 17)

Our challenge was to determine if this would always work for doubles and if it would work for situations where the addends are not the same. ย We had to have a representation to show our thinking. ย The different representations that people came up with were very cool! ย Here are a few…

 A ten-frame representation

 ย Using counters as a model

 ย Yikes! ย Big math!

Awesome activity, don’t you think? ย Enjoy your weekend!

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1. Anonymous says:

This one is cool! Thanks!

1. Donna Boucher says:

I know! I thought it was pretty neat the different representations we came up with. A great problem to use with kiddos.

2. Yasmine Laverne says:

Hi Donna! Overtime I link to your site the images don’t appear. When I click on them a window pops up saying “page not found”.

1. Donna Boucher says:

I don’t know, Yasmine. But thanks for letting me know. I’ve fixed this one.

3. Cherry says:

So cool! I love mathematic!
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