(upbeat music) ♪ It's Math Time ♪ That's right!

Today, it is Math Time again and I'm so excited that you are here with us because we are ready to solve some problems and I hope you are too.

And if you have a piece of paper and a pen or pencil, that'd be awesome because we're gonna be solving something that I want you to help me out.

All right, so, we're gonna be talking about making tens today, making groups of 10 and how that can help us in our problem solving.

And so we're gonna be using something called a 10-frame.

You may have seen it before, all right, and so what you'll see is that it's these little boxes going across and there's 10 of them, right?

There's five on the top row, five on the bottom row.

There's 10 all together.

And that's gonna help us solve some problems today.

And let's look at our first equation.

We have seven plus something equals 10, and we've gotta figure out what that is.

Well, in our 10 frame, we could use that because we could draw out seven circles inside there and notice how many boxes are still remaining that don't have anything in them.

Well, that's gonna be the answer to our problem.

So let's look, we have one, two, three, four, five, six, seven circles, all in the boxes.

How many are still open?

Well, there's one, two and three.

There's three that are open, so that must mean that we could say 7+3=10.

So 7+3=10 and we've got an equation there to help us out.

And let's do another one and see kinda the same strategy, but with some different numbers.

And we're still making 10, so let's see if we can do it.

Are you ready?

Okay, this time, what do you notice?

How many boxes are filled in our 10 frame?

Well, this time there's only four.

That whole top row isn't even filled.

So how many more are we gonna need to add up all the way to 10?

Well, let's see.

Okay, I know I've gotta add one more to finish out that top row.

Okay, that makes five.

And then I have to add five more on the bottom row.

So five and one makes six, so that must mean 4+6=10.

And we can write in that equation.

And that's awesome!

So we're making tens and we're using that to help us solve some problems here today.

Now, we're gonna try something a little bit different and we're gonna try it without the 10 frame.

Now here's the thing.

You could still draw the 10 frame and have that for you.

So if that helps you, if you like seeing that visual, go for it.

You know, we solve problems in different ways.

You may solve it different than me and you may solve it different than your friends.

That's totally fine.

We're just trying to figure out some way to solve these problems.

So let's take another look at this problem now.

Over here, you'll notice we have a new equation.

This one says 6+5 equals blank.

So we've gotta figure out what is 6+5 equal?

Now it doesn't equal 10, all right?

So this time we're not just adding up to 10.

But we can use groups of 10 to help us solve these problems.

So let's think about, we just said on one of our previous problems that six and four make 10.

So can I break down the five and kind of decompose that number to where I have a four involved?

Because I know that I have six and I'm adding something to it, maybe I can use a group of 10.

So if we break down that five and we say, you know what, five is made up of a four and then one more makes five.

So I could write that.

And now I've kind of broken apart that number five.

And let's see if we can add these up to get to our final answer.

Well six and four make that group of 10.

Well, 10 plus one more, that's 11.

And so we now know that six and five make 11.

Okay, so, that's awesome and you may have solved it that same way.

We may have been thinking the same thing, but you may have done it a little bit differently.

Let's take a look at that same problem, but instead of breaking down the five, let's see if we can break down the six and make a group of 10, all right, to help us solve this problem.

So if I break down this six and I say, you know what, what and five make 10?

I bet a lot of you just said five and you would be correct because five and five make 10.

Well, I know that six can be broken down into a five and a one.

So now let's look at what we have.

We have a five and a five, that makes 10.

We add one more, we're back to that same answer and we have 6+5=11.

So amazing and you guys are doing incredible solving these problems.

Thank you so much for your help today.

And I hope that you can find some ways to use these 10 frames, draw out your thinking, and represent it in different ways.

So keep learning, keep problem solving, and we'll be back real soon.