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Mrs. Cate Jones
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Ungroup Proof Drawing
Added Oct 28, 2021
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this is a video showing how to do a proof drawing to go along with ungrouping you might have heard borrowing we could win you have more on the bottom number than the top number so have enough once to subtract you cannot do six 1 and take away nine ones and so we're ungrouping comes from we're really wanting kids to understand what we're doing with the 10 and how we're getting more ones but I like to say to my kids as if there's more on the floor go next door if there's more on top just stopped and subtract so in this problem I'd say it is there more on top or more of the floor and so the kids would see all there's nothing that's a bigger number so small on the floor but we do we got to go next door so the drawing to go along with this and I'm going to drop 56 123 for 5 so those are five tens rods and I me to do 6 1 1 2 3 4 5 7 6 whenever I like to put things in group 5 is easier for the kids to count later on when they go back and easily see that the group of five ones I put these all together at 8 if I had another 10 I would have separated a little bit further so you can see the groups at 5 so I have 56 so now what I tell my kids to do is take away 9 9 1 1 2 3 4 5 6 1 2 3 five 6 and I would pose the question to my class why can't I do it and they always come up with a problem that we have to solve right now and drawing. it really helps them to see why they're ungrouping that's the whole purpose of this we want them to know why they're doing it instead of just learning an algorithm a Okay carry here additive if you don't really understand why you're doing it you have to come over here to the tens and we practice with and then we worked with money to you take a dime and you can trade a dime for 10 pennies and understanding that kind of way you can relate that to that like this is like a dime and I could trade it out so you can cross it off I'm going to draw a little arrow coming up here cuz I'm going to show that I'm changing it it's a it's a true when you tell your kids a dime for ten pennies so 10 ones is the same thing as 1 ten it might look different but it's the same Worth or value and I keep bringing up those words and it's unit it it's all about the value of what something is out how much it's worth turn this into 10 ones 1 2 3 4 5 again I put things in groups of five six seven eight nine 10 pics I turned it into 10 ones so is that the same thing well it doesn't look the same but really the value is the same so 110 I turned it into 10 ones so now I have one too 3 for 10 and five 10:15 I have to reflect now in my problem what I what I now have over here am I trying I no longer have 5:10 so I'm going to cross that off of the ungroup it so I can see you know I took away to be traded out for 10 one and I ungrouped it now before 10 and now I don't just have six ones anymore that one and that I ungroup became 10 ones now so I'm adding 10 ones to the Sea and again look over here and I told the kids look back at your picture how many do you have I now have 16 $16 more kids practice with this they just start to learn the algorithm after time and just know okay that's going to be one less right here and I add a 10 which is become to them putting a one before this number but we really want them to understand why they're doing that and then what I would have them do is look back at your proof drawing I don't have 16 and cross off one two three four five six seven eight nine and in the tens place I take away two of them one too so what do I have left hard to see trying to hold this. I work at the same time and get to be careful to look at all you have all the time I kids Circle what's left so I have two tens left and in my ones place I have one two three four five six seven months left and that's how I would have my kids use a proof drawing to help show how their ungrouping in a subtraction problem
Uploaded by
Cate Jones
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