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Ideas for Long Division Lessons

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 LQTeach Joined: Aug 2008 Posts: 285 Full Member
LQTeach

Joined: Aug 2008
Posts: 285
Full Member
Ideas for Long Division Lessons
02-25-2012, 10:13 AM
 #1

I'm going to begin Division in math soon. I'd love to do something interactive and kinesthetic or at least fun! Any ideas would be greatly appreciated.

 manyyears Joined: Dec 2010 Posts: 37 Junior Member
manyyears

Joined: Dec 2010
Posts: 37
Junior Member
hand motions
02-25-2012, 03:32 PM
 #2

We do hand motions for the steps: a wide hand motion across for divide, hands crossed in front of the chest for multiply, a short wrist motion for subtract, and a a long wave down with your right hand across to the left for bring down.

Not kinesthetic but still useful: I also made division bookmarks with an example and taped them to the desks for reference (and kept it this way for about 2 weeks until the idea sank in). If you are interested, here are the bookmarks. I couldn't figure out how to attach, so if you want to use it, I have it in the landscape position in 3 columns, and print out the steps and the example back to back on cardstock paper (please use a pen to add those underlining parts for long division sign and after subtraction).

DIVISION STEPS

1. Divide
.............

2. Multiply
.............

3. Subtract
.............

4. Compare,
bring down

Doing Long Division

36
2)72
-6 1. Divide
12 7÷2
-12 2. Multiply
0 3×2
3. Subtract
7-6
4. Bring down
the next
number
from the
dividend
5. Repeat
steps
1, 2, 3

 ConnieWI Joined: Apr 2007 Posts: 6,911 Senior Member
ConnieWI

Joined: Apr 2007
Posts: 6,911
Senior Member
Long Division
02-25-2012, 05:13 PM
 #3

We use place value blocks...flats for hundreds, rods for tens, and cubes for ones. At first we use the real thing...later, we use pictures...flats are large squares, rods are tall, slim rectangles, and cubes are small squares.

Of course, both of these strategies will need lots of modeling on your part, then partner work, and finally individual practice. At the same time the manipulatives are being used, also show what you are doing with digits.

Let's say the problem is 524 divided by 4.
--Lay out five flats, two rods, and four cubes to show 524.
--Five flats divided by four is 1 with one flat left over.
--Combine the one flat and two rods which equals twelve rods. (You could also substitute ten rods for the flat. Students might see the twelve rods easier if you do this.)
--Twelve rods divided by four is three.
--Four cubes divided by four is one.

 teachjam 02-25-2012, 08:45 PM This message has been deleted by teachjam. Reason: post would not display as typed
 teachjam Joined: Sep 2005 Posts: 883 Senior Member
teachjam

Joined: Sep 2005
Posts: 883
Senior Member
Easy BUTTON DIVISION
02-25-2012, 08:57 PM
 #4

We ask if they want a "cool, easy button" for long division. We build it up
Say since we all know our 2s, 5s, and 10s this will make it EASY so hit the easy button.
We have a button they take turns pushing like the Staples button.

Divide 89 / 4
Then say "since you know 4x10 = 40, you probably know 4 x 20 = 80. so let's subtract 80
89 - 80 = 9
then say, 4 x 2 = 8 and subtract 8.
Leaves 9 - 8 = 1
then add 20 + 2 = 22 Remainder 1

This is shown beside the division problem in a row like this:
4x20 = 80
4x2 = 8
We circle the 20 and 2 and add below = 22 R 1 and write this above the division problem.

We do many of these on board then I call small groups up to really see who gets it or not.
If this doesn't make sense, pm me and I'll try to do better.
But even my lowest kids get this method of long division. Truly amazing.
Our math coach taught us this method last year and it makes so much sense. EASY BUTTON

 westwitch Joined: Jul 2009 Posts: 1,244 Senior Member
westwitch

Joined: Jul 2009
Posts: 1,244
Senior Member
Have you seen this?
02-26-2012, 08:32 AM
 #5

My class loved this, and the tune is pretty catchy!

 manyyears Joined: Dec 2010 Posts: 37 Junior Member
manyyears

Joined: Dec 2010
Posts: 37
Junior Member
So
02-26-2012, 09:54 AM
 #6

cool! Thank you for sharing!

 LQTeach Joined: Aug 2008 Posts: 285 Full Member
LQTeach

Joined: Aug 2008
Posts: 285
Full Member
Great ideas!
02-26-2012, 02:48 PM
 #7

thanks everyone! I loved all the suggestions/ideas, bookmark, and kinesthetic way of having students make the process of division with their hands and arms.

The Video is wonderful, too! You all are awesome!!!!

 lovetheu.p. Joined: Aug 2011 Posts: 32 Junior Member
lovetheu.p.

Joined: Aug 2011
Posts: 32
Junior Member
division process
03-11-2012, 09:30 AM
 #8

For my students that struggled to remember the steps of division in order I shared this.

If you need help remembering the steps

Call EMS!

E = Estimate
M= Multiply Back
S= Subtract

This mnemonic seems to work.

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