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Lesson Video: Adding by Counting On: Numbers up to 10 Mathematics • 1st Grade

In this video, we will learn how to add within 10 by counting on from one of the numbers.

14:59

Video Transcript

Adding by Counting On: Numbers up to 10

In this video, we’re going to learn how to add numbers up to 10 by counting on from one of the numbers.

Let’s play a game. We’re going to need a game board like this, a counter, and a pair of dice. Now this game is all about adding numbers together. Our aim is to find the total of two numbers and see how near to the finish line we can get. First, we’re going to need a number to start on. And on this board, we’re not always gonna start on one. We need to start by rolling the blue dice to see where we’re starting from. It’s the number four. So let’s start by putting our counter down on the number four.

Next, we need to know what number we’re going to add to the number four, so let’s roll the red dice. It’s a three. Now to see where we end up, we’re going to have to add together our two numbers. We’re going to have to find the answer to four plus three or four add another three. How can we find out what four plus three is worth? Well, if you’ve ever played a game like this, you’ll know that we can start at four and then count on another three. Now, when we look at our first number and we see the number four, we don’t need to count one, two, three, four because we know where four is. As soon as we knew we had to start at four, do you remember, we put the counter on four.

So in other words, we’re not starting from one. We’re starting from the first number in our addition, which is four. We can just say four and then count on another three. Let’s do that, shall we? Four and then five, six, seven. We started at four, we counted on three, and we ended at seven. We found the answer to this addition by counting on three. Did you notice we made three jumps off the counter? And so we can say four plus three equals seve.

Right, let’s leave our blue counter there, and let’s see if we can beat our score. Let’s use a pink counter this time. So once again, we’re not gonna start from one. We’re going to roll the blue dice to see where to begin. It’s a three. So the first number in our addition is going to be three. And once again, we’re not going to start from one. We’re going to be starting counting on from three itself. So we need to put our counter straightaway on the number three.

Now, what are we going to add on to three? It’s time for the red dice. Oh, it’s a big one this time; it’s a six. So we need to find the answer to three plus six. And in this video, of course, we’re finding the answer by counting on. So we need to start at the number three and count on another six. So we’ll say our starting number, which is three. And then we’re going to move our counter six times. Let’s point at the first number as we say it. Three and then four, five, six, seven, eight, nine. We started at three. We counted on six. Can you see how we’ve labeled them so that we can see that we’ve made six jumps? And we ended at nine, so we can say three plus six equals nine. The total of three and six is nine.

And once again, we found the answer by counting on. Let’s have one more go this time without using the game board. Let’s imagine that we’ve been asked to find the answer to five plus three, so we can start at five and then count on three. Five, six, seven. Is that right? No, it’s not. Although we’ve said three numbers, we haven’t made three jumps. Can you see we’ve only made two jumps? When we say the number five, it’s not part of our counting. It’s just the starting number. This is why it’s sometimes helpful to say the words “and then” after we say our first number. Let’s try again. Five and then six, seven, eight. We said the number five and then we counted on another three. Five and then six, seven, eight. Five plus three equals eight.

Let’s have a go at practicing what we’ve learned now. We’re going to answer some questions where we need to add by counting on.

Liam knocked over a bucket of balls. Six balls were left in the bucket. Liam is going to count all the balls. He doesn’t have to start counting at one. What number will he say when counting the first ball? How many balls are there altogether?

We’re told in the first sentence that Liam knocked over a bucket of balls. And we can see in the picture that this has happened; the bucket is on its side and some of the balls have rolled out. But not all of the balls have rolled out because we’re told that six balls were left in the bucket. Now we can’t see them, but we can see that the bucket is labeled with the number six. So we’ve got six balls inside the bucket and then some more that are rolled out.

Now we’re told that Liam is going to count all of the balls, so that’s all of the balls inside the bucket and all of the ones that have rolled out. But he doesn’t have to start counting at one. Why is this? Well, he already knows that there are six in the bucket, so he can start counting on from six. Now in the picture, we can see that Liam’s just about to start counting, and he’s pointing to the first ball. What number will he say when counting the first ball? Now this question doesn’t say what number will he say to begin with or even what number will he end up with. It asked us what number will he say when counting the first ball, that ball that he’s pointing to.

Well, as we’ve said already, Liam needs to count on from six, but he’s not going to say six when he points to the first ball. The six balls are in the bucket. We could sketch a speech bubble to try to imagine what Liam’s going to say. He would have started by looking at the bucket and saying six and then seven. We’ll stop there because this is the answer we’re looking for. The number that Liam’s going to say when he counts that first ball is the number that comes after six. It’s seven. Now, it’s an easy mistake to make to think that Liam’s going to say six when he looks at this first ball. So it’s important that we understand why he says six when he looks at the bucket and then he starts counting.

Next, we’re asked how many balls are there altogether, so we need to do what Liam did. Let’s count the balls. Six and then seven, eight, nine, 10, 11. The last number that Liam’s going to say is 11. And so he knows there are 11 balls altogether. Liam’s found the total number of balls by starting at six and then counting on. The number that he’s going to say when counting the very first ball is seven. And the number of balls that there are altogether is 11.

I have a strange set of dominos. The dots on one side are hidden by a sticker. The sticker tells you how many dots are hiding under it. What is the total number of dots on this domino?

Well, this is a strange domino, isn’t it? Normally, when we look at a domino, we can tell the numbers on it by looking at the dots. And there’re usually two sets of dots, one on the left, one on the right, and they represent two different numbers. But as we can see on this strange domino, the dots on one side are hidden by a sticker. But thankfully, as the question tells us, the sticker tells us how many dots are hiding under it. Can you picture what the dots are going to look like? Five dots usually look like this, don’t they? And can you see how many dots from the other side? We can tell by looking at the pattern that there are four dots, aren’t there? So we’ve got five on one side and four on the other.

Now we’re asked to find the total number of dots on the domino. In other words, we need to find the answer to five plus four or five and another four more. We can find the answer by counting on. We can start by saying the number five and then count on another four, one for each of the dots. As we count each dot, let’s cross it through. Five and then six, seven, eight, nine. We found the total number of dots on the domino by starting with the first number and then counting on the second. We said five and then we counted on another four; five, six, seven, six, seven, eight, nine. The last number we said was nine. And so we know that the total number of dots on the domino is nine.

Count on to find five plus four.

In this question, we need to find the total of five and four. Can you see the add symbol in between five and four in the question? This means five plus four. We need to add together the two numbers, and the question also tells us how to do this. We need to count on to find five plus four. What does counting on mean? Well, it means we need to start at the first number in our addition, which is five. And it means we need to find another four. In other words, we need to say the next four numbers that come after five. And if we look at the picture of the number line, we can see this. The starting number, which is five, has been labeled. And can you see the four jumps are as shown? One, two, three, four.

So let’s use our number line to help us add together five and four. So we’ll say five and then six, seven, eight, nine. We’ve found the answer to five plus four by starting at five and counting on another four. The last number we said was nine, and that’s how we know that five plus four is nine.

Complete the following: one plus seven equals what.

In this question, we need to find the total of one and seven. Now we’re shown a picture of a number line underneath this addition. Perhaps we could use it to count on, so we could start at the number one and then count on another seven. To do this, we’d need to make a jump of one, two, three, four, five, six, seven. We’ve arrived at the number eight, and so we know one plus another seven is eight. But you know, there’s a much quicker way to find the answer because counting on seven took a while, didn’t it?

When we add two numbers together, it doesn’t matter which order we add them. So although we could start at one and then count on another seven, we could get the same answer by switching the numbers around. We could start at the number seven, and then we’d only have to count on another one: seven and then eight. If we’re adding a small number onto another number, it’s often useful to start with the bigger number and then just count on the small number. We found the answer by starting at one and counting on seven, but also by starting at seven and counting on one. One plus seven equals eight.

Scarlett put her counter on four and then moved it forward three spaces. She’s saying seven is three more than four. Then we got a picture of underneath saying what is four more than two. Help Scarlett find the missing number.

In the first picture, we can see that Scarlett has added two numbers together. We’re told that she’s put her counter on four. And we can see this on the number track, can’t we? And then she’s moved it forward three spaces: one, two, three. So what Scarlett has done here she started with four, she’s added on three, and she’s found the answer to four plus three, which is seven. Seven was the number that she ended up on. And that’s why she can say seven is three more than four.

Underneath we can see another picture of a number track, and this time Scarlett is going to add some more numbers together. She says what is four more than two. And we can see that Scarlett has put the counter on two, ready to begin. So, two is her starting number, and she wants to find four more than two. So the calculation she’s working out is two plus four. What is four more than two? We need to move the counter forward four spaces: one, two, three, four. We’ve ended on the number six, and so Scarlett can say six is four more than two. Two plus another four is six. We found the answer by counting on. Scarlett’s missing number is six.

What have we learned in this video? We’ve learned how to add numbers up to 10 by counting on from one of the numbers.

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