### 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.