Video Transcript
Comparing Numbers up to 10 Using
Words
In this video, we’re going to learn
how to compare numbers up to 10 by thinking about the counting sequence or modelling
with counters. And the way that we’re going to
describe our comparisons and record our results is using words. Two of these bears here are holding
number cards. We can see the number five and
six. Let’s compare these two numbers
together. One way we can compare numbers like
this is by using maths equipment to help, maybe cubes or counters. Let’s use counters.
First, we’ll make the number
five. One, two, three, four, five. Now, we can model the number six in
the same way. If we line each counter up, it’ll
help us to compare them. One, two, three, four, five, six
counters. What can we see about our lines of
counters? Our line of five counters is
shorter than the line of six counters. This means there must be less
counters in this line. And so we can compare our two
numbers using words. We can use the phrase, is less
than. Five is less than six. Let’s make a note of that
phrase. We’re going to be using it in the
video.
Now, what if our second number
changes? Let’s compare the numbers five and
two this time. As well as modelling numbers using
counters, we could also use a number track to help. The useful thing about number
tracks is that they show numbers in order from smallest to largest. So we can use them to compare
numbers. Let’s count along our number track
and see where we say our numbers five and two. One, two, three, four, five. Did you notice as we counted, we
said the number two before we got to the number five. We said the number five after we
said the number two. This means that five is a larger
number than two.
So how could we compare these
numbers using words? You know, the word greater is
another way of saying larger or bigger. So we can say five is greater than
two. But what if both our bears’ number
cards say the number five on them? We can’t use any of the words we’ve
talked about already. We can’t say five is less than five
or even five is greater than five. If we look at our number track, we
can see we’re talking about the same number. So we could say five is the same as
five. Another way of saying numbers are
the same is by using the word equal. We can say five is equal to
five. They’re exactly the same. Now, we’ve gone through three
different ways to describe comparisons using words. Let’s put them into practice and
have a go at some questions.
Look at the numbers: four,
three. Pick the missing words. Three is what four and four is
what three. And we’re given two sets of
words to choose from, greater than and less than.
In this question, we’re told to
look at two numbers. There’s the number four, and
underneath it is the number three. Look at how these numbers are
represented in two different ways. Firstly, each number is written
as a digit and then a line of blocks. Each line of blocks matches the
digit. For example, four blocks
represent the number four and three blocks represent the number three. You could tell this by counting
the blocks. One, two, three, four in the
first row. One, two, three in the second
row. My question gives us two
sentences and asks us to pick the missing words to fill in the gaps.
Let’s look at our first
phrase. Three is what four. Should we say three is greater
than four or three is less than four? Let’s use the blocks we can see
to help us. That’s why they’re there. What can we say about each line
of blocks? We can see that the line of
four blocks is longer than the line of three blocks. Or if we look at it the other
way, the line of three blocks is shorter than the line of four blocks. It contains less blocks. So we can use this to help us
to compare the numbers three and four. We can say that the number
three is a smaller number than four. And so we can use the phrase,
less than. Three is less than four.
We can also use our blocks to
help us fill in the second phrase. Four is what three. As we’ve said already, the line
of four blocks is longer than the line of three blocks. There are more blocks. We know that four must be more
than three. And so we can use the phrase
greater than to compare the two numbers together. We can say four is greater than
three. The numbers four and three were
modelled for us using blocks. And we use this to help us to
compare them. We can say three is less than
four and four is greater than three.
Think about the numbers seven
and nine. Sophia showed the number seven
in a ten frame. How can she show the number
nine? Which number is less?
This question gets us to
compare two numbers, seven and nine. And we’re told that Sophia
showed the number seven in a ten frame. And we’re shown a picture of
this, so we know how she does it. She’s taken seven counters and
she’s put them one in each square. There are one two, three, four,
five, six, seven altogether. She makes one full row of
counters and there are two extra counters underneath. Now, we’re asked two
questions. And the first question asks us,
how can she show the number nine? Well, instead of putting seven
counters on a ten frame, Sophia is going to need to put nine counters on a ten
frame, one in each square. One, two, three, four, five,
six, seven, eight, nine. This is how Sophia can show the
number nine.
In our second question, we need
to compare these two numbers together because we’re asked which number is
less. And when we use the word less,
we’re talking about something being smaller than something else. So which number is the smaller
of the two, seven or nine? Let’s compare our ten
frames. The top row on both ten frames
is full. And as we’ve said already,
there are two extra counters on the row underneath for the number seven. But when we look at the number
nine, we can see that there are more than two counters on the second row. In fact, the second row is
nearly full. The number nine very nearly
fills the ten frame. And so we can say that the
number seven is less than or is smaller than the number nine. Sophia can show the number nine
by putting nine counters on a ten frame. And we can then compare our ten
frames to show that the number that is less is the number seven.
What number is greater than six
and less than eight?
There’s a mystery number being
described in this question and we’re given two clues about it. We need to find a number that’s
greater than six and also less than eight. Let’s look at each clue one by
one and then put them together. Firstly, we know that the word
greater means more or larger. So we’re looking for a number
that is larger or more than six. Let’s use a number track to
help us. Now, if we’re looking for
numbers that are greater than six, we need to start by finding the number
six. Where is it on our number
track? Well, we know it comes after
the number five: one, two, three, four, five, six.
Now, where are the numbers that
are greater than six? What about the numbers that we
say before we get to the number six? One, two, three, four, and
five. Are these numbers greater than
six? No, we know that numbers get
bigger as we count along a number track. And so if we’re looking for
numbers that are bigger or greater than six, we need to look at the numbers that
come after the number six. Seven is greater than six. So is the number eight, nine,
and 10. What about the number six
itself? Should we include this? Well, no. The number six is the same as
the number six, isn’t it? When two numbers are the same,
we can say that they’re equal to each other. The number six is equal to the
number six. It’s not greater than six.
So we can say that the number
we’re looking for could be seven, eight, nine, or 10. But remember, we’ve got another
clue to think about. Our number is greater than six
and less than eight. Let’s sketch another number
track to help us find numbers less than eight. First of all, let’s find the
number eight on our number track. We know it comes after the
number seven. One, two, three, four, five,
six, seven, eight. And we’re looking for numbers
that are less than eight. Another way of thinking about
the word less than is smaller than, numbers that are smaller than eight. And again, we’re not going to
include the number eight itself here because eight is equal to eight.
Now, where are the numbers that
are going to be smaller than eight on our number track? These are going to be the
numbers that come before we say the number eight, numbers like one. One is less than eight and also
two, three, four, five, six, and seven. All these numbers are less than
eight. Now, we can look closely at our
number tracks to find the answer. What number is greater than six
and less than eight? We can see that there’s only
one number that we’ve circled on both number tracks. It’s the number seven. We can say seven is greater
than six. And we can also say that seven
is less than eight. We used number tracks and
thinking about the counting sequence to help us find the answer. The number that is greater than
six and less than eight is seven.
So what have we learned in this
video? Well, firstly, we’ve learned how to
compare numbers up to 10. And we used things like number
tracks and counters to do that. And we’ve then described our
results for things that we’ve found out using words. We used words like is less than, is
equal to, and is greater than.
