Updated 2/24/15

I have to brag on my kiddos they are really doing GREAT with division!

I have to brag on my kiddos they are really doing GREAT with division!

We begin by creating a
multiplication t-chart. This is helpful for all students, but especially for
those students who do not fluently know their multiplication facts. (see t-chart example in picture below)

At this point in the year my
kiddos have had a lot of practice with multiples of 10 and 100. After modeling
and many examples, most of my kiddos understand 30 x 6 is a ten times bigger
than 3x6 and 300 x 6 is a hundred times bigger than 3x6. Some students are able
to justify this by repeated addition.

We use the partial quotients
method or repeated subtraction method to teach division. (see examples in picture below) I LOVE this method of
division for 4

^{th}graders because it helps them retain their place value understanding. In a short amount of time, they are even completing some division problems mentally.Click the Picture to Checkout this Resource! |

When I introduce division, I
put into a story. I tell them I baked 298 cookies for the bake sale. I tell
them I want to buy some fancy boxes in which to put the cookies. I explain to them that these boxes are really expensive so I just want to buy enough boxes for
the cookies. I tell them I am going to put 5 cookies in each box. At the fancy
box store, they sell boxes, in packs of multiples of 100, multiples of 10, and
1-9.

I ask the students if I need
100 boxes. They discuss this at their groups. This question usually has a good
discussion the first couple of times. Once they decide that I do not need 100
boxes, I ask them if I need 10 boxes. They decide I do need 10 boxes. I tell
them that the fancy box store sell packs of boxes in multiples of 10. (10, 20,
30, 40, 50, 60, 70, 70, 90) Next, we figured out what size pack we should buy
from the store. We used our 5s t-chart for visual reference. We decide to put the 50 pack of boxes in our shopping
cart. I ask them how many cookies will I
be able to box if I buy 50 boxes. They tell me 250.

I baked 286 cookies and I
have enough boxes for 250 cookies. How can we figure out how many cookies I still need to get boxes for? (Subtraction) We
have 36 cookies that do not have a box. If we buy a box of 10, I will have
left over boxes. So we look at buying a 1-9 pack. Using the t-chart again, they
decided that a 7 pack would get us the closest without going over. Boxing 35 of my cookies.

We put 285 cookies into the 57 boxes. There was one cookie remaining.

A friend of mine introduced
me to this partial quotient website, The Quotient Cafe. My kiddos loved it!

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