If you saw Kal-El's Division Dance you know how excited he was to start the division memorization sequence. Me Too is JUST as excited for him. Check out how ridiculously closely Me Too is observing Kal-El's work. They have even figured out a way to do this work "together." Me Too counts out loud while Kal-El counts beads into the cup or when he distributes them on the board.
When I set the work out on the rug for the first time they couldn't keep their hands off of it. While I was still setting up they were making patterns on the board with the green beads.
Kal-El puts the correct number of beads in the green cup to represent the dividend. The skittles at the top of the board represent the divisor.
Then he shares the beads equally among the skittles of the divisor until he doesn't have enough left to share them all equally. The number of rows he has (numbered along the left-hand side) are his quotient.
oops, I originally meant to write only the large 27 in the top, right corner
and the very first dividend in row one in purple
but accidentally kept writing with the purple pencil.
We started on a loose piece of division-table paper with a dividend of 27 as recommended by the albums (because it generates a relatively long list of equations that will fit on the board, some with remainders and some without). Sometimes the quotient has a remainder, sometimes it doesn't. When it doesn't he underlines the equation with a red pencil because that is an equation he will memorize. The last equation on the sheet didn't fit on the board so he crossed it out. We are only memorizing equations with a quotient of nine or smaller.
After I introduced him to the bead board on loose paper with a dividend of 27, I showed him the booklet I made for him. The booklet has 81 pages. He is going to record every equation that fits on the board for every dividend between one and 81. The booklet actually starts with 81, not with one. As he goes he will underline any equation that does not have a remainder. When he is done I will give him another blank book of division-table paper and he will record only the equations he has underlined in red thereby making his own master book of the equations he will memorize, or his own "division tables."
You can see here how the dividend has only been written twice
by me in colored pencil and Kal-El
has filled in the rest with regular pencil.
Above is a peek at the inside of his book. It is my slightly-adjusted version of Nienhuis' Division Tables Booklet ($35):
I wanted to imitate how they provided the dividend twice in an outlined font, but I wanted to use a squared paper.
You can get pre-printed division table paper for free at Livable Learning. That is where I printed my tables for the addition, subtraction, and multiplication work we did. However, NONE of my albums use pre-printed tables for this division work. The AMI albums all have the child "discover" the division tables they are going to memorize in the way I described above...an experience I wanted my kids to have. The AMS albums I have skip this step altogether and go directly to using loose equations with the bead board (a step the AMI albums have you do afterward). Also, every single album suggested a different way to "do the checks" at the end of each page. You can use the division control chart or the first multiplication finger board. The Montessori by Hand album suggests emphasizing the relationship between multiplication and division by using multiplication control chart one right from the beginning. Keys of the Universe recommends using a different method for different parts of the division sequence.
image credit Nienhuis.
If you are looking for looseleaf tables to make your own booklet or to use "as is." You can buy pre-printed tables paper in a similar style from Nienhuis (100 pages for $6.50). Or you can print mine for free.
I created the file in Open Office because Google docs will not let you size row heights and column widths which was obviously necessary. I set it up so that you can print double-sided and cut the paper easily into quarters. I would have loved to put the dividend in with outline-font like Nienhuis did. However, not only is it a pain to create an 81-table file rather than a four-table file, but it is a nightmare to set up a file like that so that the dividends stay in the right order when you print them back-to-back. It is also a pain to print a file that way. You'll probably spend less time writing in the dividends than you would feeding paper through to double-side it properly.
In order to share the Open Office file, I once again used Box.com:
Free Download: AMI-Style Tables Paper for the Division Bead Board
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