Posted in learning together

learning together: a multi-level cooperative place value game

We’ve been working on place value for a while. Rondel unfortunately decided that my default place value game was his least favorite thing ever, probably primarily because Limerick utterly loves it and finds it intuitive and easy while Rondel has struggled more with the concept. Fortunately, however, we were able to adapt it using place value blocks (wooden blocks in denominations of one’s, ten’s, hundred’s, and a huge thousand cube) into a game that let each kid operate on their own level of mathematical ability while working together to earn chocolate chips!

757 represented by a stack of place value blocks, with three dice and a pile of one’s cubes on the side

Our goal as a team was to reach 1000, rolling dice to add to our total on each turn. Along the way, we could get chocolate chips: one for each person every time we added a new hundred square, and ten for each person if we made it to the thousand cube. On Aubade’s turn, she would roll just one die and practice counting the dots to find how many she had rolled, then practice counting again as she put the right number of cubes onto our combined tower in the center.

Aubade carefully placing her one’s cubes on top of our combined tower.

On Limerick’s turn, he rolled two dice, multiplied them together, and then added his total to the combined tower. (Yes, this is easy for him. Next time I’ll have to come up with something more challenging for him to do! He also tends to supervise everyone else, however.)

Limerick straightening out the blocks on the combined tower after adding his total

On Rondel’s turn, he rolled four dice and added them all together (which was perfect for him! Adding two dice is easy for him at this point, but four lined up with the addition we’d been encountering in Life of Fred and he remembered and mentioned that.) Seeing how his one’s cubes lined up to form a group of ten, and how his ten’s lines added up to form a hundred square, the concepts of place value finally started to make sense to him! These blocks are such a nice visual/tactile representation of that 🙂

Rondel adding a one’s cube to the top of the tower

By working together, we eliminated both the stress of competition and the need for everyone’s individual rolls to come out to, on average, comparable amounts. Because we were working together, it didn’t matter if Aubade was rolling much smaller numbers than Limerick or Rondel, or that Limerick’s highest possible total was higher than Rondel’s – everyone just contributed towards our shared goal in their own way. It also didn’t matter who was fastest or reached a goal first, and the shared celebration every time an intermediate goal was met (i.e., the chocolate chip for each hundred) prevented anyone from becoming jealous or discouraged. And finally, because none of those things were important to the game, we could tailor it to each participant’s math level, allowing all three kids to play together despite ranging from counting to multiplication/division with their math skills (which I’ve found surprisingly difficult, mostly when it comes to including Aubade in the game.)

Now I suppose I just need to come up with a name!

4 thoughts on “learning together: a multi-level cooperative place value game

    1. I meant to write more but hit the wrong button!

      What I meant to add was that this is what inclusion looks like! So awesome!

      1. Oh I hadn’t thought of it that way – it was just trying to do things as a family! That makes me wonder how many of the things homeschoolers do, trying to juggle multiple academic levels at a time, could translate into inclusionary practices.

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