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mate 10 to the siz adding a two-digit number to a one digit number and this is an introduction to regrouping this is less than eight point six making a ten can help us add a two digit number and a one digit number we can add them together we regroup the ones to make a ten so here we have two tens and 7 ones as 27 that's one group then we have six ones that's another group we can break the six ones into a three plus three we can give these three to this 7 to make another 10 now we have instead of two tens and 7 ones plus the six ones we have one two three tens plus three ones here's what we did we made a ten here with ten ones so now we have two tens ten ones inside of our circle and the three ones that are left over we know that ten ones makes one ten doesn't it now we have two tens and one ten and three ones two tens and one ten are three tens we have three tens and three ones that means we have 30 plus 3 that equals 33 so our initial problem our initial number sentence the one we had in the beginning 27 plus 6 is the same thing as 30 plus 3 and it's equal to 33 we regrouped them instead of having two tens and 7 ones together and then over here having six ones we regrouped the ones and we made a 10 see let's try it again we've got 38 in this group and we have five in this group we can break that five apart into a two plus three we can give the two to the eight putting them together is going to make a ten instead of three tens and eight ones we now have three tens and another ten that we made by grouping these together we made a ten we have three tens four tens and three ones see we have four tens and three ones that's 40 plus 3 that equals 43 so our initial problem our problem we had in the beginning 38 plus 5 is the same thing as 40 plus 3 and it's equal to 43 let's try it again here we have a group of 59 and we have a group of 4 we want to add them together this 4 can we can break it apart into a 1 and a 3 and give that one to the 59 if we're at 59 and we count on 159 and one more 59 60 we give that one to the 59 and make us 60 and now we add the 3 that is left over from the 4 we have 63 that means our initial number sentence 54 plus 4 the one we had in the beginning is equal to 63 we just took one from the 4 gave it to the 59 inmate is 60 it now became a 3 we have 63 let's try another one we have 72 plus 9 the 9 we can break it apart into an 8 plus a 1 we can give that 8 to the 72 and make an 80 72 73 74 75 76 77 78 79 80 72 plus 8 makes 80 that makes 8 tens doesn't it we have one left over from that 9 80 plus 1 is equal to 81 and our initial problem the problem we had in the beginning 72 plus 9 is equal to 81 we just regrouped some of the ones here and gave them to the 72 let's try a word problem Emma puts 17 toy cars and 8 toy trucks in a box how many toys did she put in the box so the first thing we need to do is figure out what they're asking of us and how we can solve this and what information we can use they're asking how many toys she put in the box it tells us she puts in she puts in 17 and 8 the word and in between the 17 and 8 tells us that it's being put together that means we needed an addition sentence we're going to use the 17 and the 8 and it's going to be an addition sentence then we'll put them together to find out how many in all 17 plus 8 we can break the 8 apart as a 3 and a 5 we can give that 3 to the 17 17 18 19 20 that makes two tens that makes it 20 we have five left over from that 8 20 plus five is equal to 25 so our initial problem the one we had in the beginning 17 plus 8 is equal to 25 let's try one last one there are 34 goats in the field 30 of them run to the barn how many goats are still in the field so let's look at this carefully there are 34 goats in a field can you picture that in your head 34 goats in a there's a fence and there's grass 30 of them run to the barn how many goats are still in the field that's what we need to find how many goats were left behind that are still in the field so our clue words are run to the barn 30 of them run to the barn that means they went away from the ones that were in the field didn't they so we need a subtraction subtraction sentence to show they went away so we have 34 as our minuend minus 30 as our subtrahend we can use counters we have three tens for 30 and four ones that makes a group of 34 we need to take away three tonnes don't we 30 means three tens if we have three tens and four ones and we take away the three tens if we take away the three tens from this one the only thing that's going to be left is the four ones right we have three tens and four ones thirty-four if we take away these three tens the only thing that's going to be left are the little four ones so the answer is four and four what four goats okay so you can use models but remember we can break apart a number to regroup it to make a ten okay our next lesson is use place value to add we're actually going to use tens and one place value to help us add numbers okay lesson eight point seven keep practicing your addition and subtraction facts and I'll see you next time bye