subtraction with regrouping

Have you tried chip trading? it works really well with pennies, dimes and dollars.

Robin

Please elaborate on how you use the chips etc. to teach regrouping! I am
a new Spec. Ed tchr who could reealy use the info.!!!! Thanks.

Can you tell me more about it?

Chip traing actually became popular during math’s mushy period- when kids were supposed to intuit the rules… that has all gone by I think, but this is one of the positive leftovers.

A chip board has at least five columns and one row across the top. The row serves as a header- it is the place where you label the columns. You can label them with anything you are using for a manipulative- put a base ten block (ones, tens, hundred) or a coin (penny, dime, dollar-I always do the nickels and quarters seaprately and add them to the board last.) or chips- which come in different colors. I have also used beans and cups, back in my Math Their Way days. The first column under your right hand is ones- just like in real life:)

You also need a die or a pair of dice- but start with one.

Roll the die and put that many ones in your ones column. Then it is the other guys turn and they do the same. Repeat. The rule for each column obviously is that you cannot have more than nine before you have to trade into the next column. So, say we are playing with pennies and dimes and a dollar. I roll a six and put six pennies in my penny (ones column). You take your turn. I roll again and roll another six. I take out my six pennies- but no- that would be twelve and that is against the rule…So I must REGROUP ten of my pennies to a dime…Now I have one dime and two pennies. I always play this in partners at least so that it is a game- first person to reach a dollar or a hundred wins. When you want to regroup at larger quantities- make a different board and use two dice.

You can play this in reverse too- start with a dollar and subtract until you reach zero. Every time you make a trade you REGROUP- the vocabulary is important if you want carryover.

When the students become good at the system- and I always have them play for a while before I start this- you have them record their quantities- first on a chart that is similar to the chip board and then on plain paper. Do it the way you record Spades or Cribbage scores- just cross the old number out. I have seen people actually ask kids to the calculation but I think that is a separate activity- don’t want to take all the fun out of the game:) Play with a variety of materials too. I almost always use this with functional math kids who are learning money skills- we call it the banker game- and they have to name all the coins etc.I also use it to teach counting and calculating in other bases with more capable students- you just change the trading rule from ten to whatever.

Hope this helps!
Robin

What do you have regarding visual presentations with regard to regrouping and borrowing for the third and fourth grade e.d. students?
Thanks
michela

Is there a reason why you wouldn’t work with manipulatives?