### Video Transcript

Modeling and counting four and
five. In this video, we’ll learn how to
represent one object by another to help us count four or five objects. Here are some fish. How many are there? We could count the fish by pointing
to each one. And as we point to them, we could
say each new number. Remember which number we start
counting from, one, two, three, four. The last number that we said is the
number that there are. There are four fish. And these four fish are neatly in a
line.

But we all know fish like swimming
around. How many fish are there now? One, two, three, four. Even though they’ve moved, there
are still four fish. We counted these objects or fish by
pointing at them. Now, let’s have a go at
representing a number of objects using cubes.

Count the cats. Show the same number using
cubes.

In the picture, we can see a row of
cats. And the first thing the question
asks us to do is to count them. The question then tells us to show
the same number using cubes. How can we make sure that we have
the same number of cubes as cats. What if we count each cat. And each time we say a number, we
put a cube underneath it, one, two, three, four. We used one cube for each cat. We counted four cubes, so we know
there must also be four cats.

Underneath the picture, we can see
three groups of cubes. Which one shows us how to represent
the number of cats, which we said was four? In the first group, there are one,
two cubes. This isn’t the right answer. The next group contains one, two,
three cubes. This isn’t the same as four
either. Let’s check the last group, one,
two, three, four cubes. We counted four cats. To show the same number using
cubes, we need to use four cubes.

We used cubes to help us answer
that question. But we don’t have to use
objects. We could use a pencil and paper
instead. Let’s have a go.

Count the given oranges. Show the same number by drawing
dots.

In this problem, we can see a
picture of some oranges. And the first thing we’re told to
do is to count them. After we’ve counted them, we’re
then told to show the same number by drawing dots. And we can see we’ve got three
possible answers to choose from. But we’ll come to those in a
moment. To begin with, let’s get counting
these oranges. Now we need to make sure that we
count each orange only once.

How could we make sure we don’t
miss any out and we only count them once? Because these are pictures of
oranges, what if we put a counter on top of each picture as we say each number, one,
two, three, four, five. There are five oranges. Now we need to show the same number
— that’s five — by drawing dots. Let’s count as we go, one, two,
three, four, five, five dots to match our five oranges.

Now, which of our three possible
answers shows the same number of dots? One, two, there are only three dots
in the first group. One, two, three, four, five, there
are five dots in the second group. We counted five oranges. To show the same number by drawing
dots, we needed to draw five dots.

You know another good way to
represent numbers up to four and five is using a five frame.

Let’s do that in the next
example.

Count the pencils. Color the five frame to show how
many there are.

In the picture, we can see a group
of pencils. And the first thing we’re told to
do in this problem is to count them. We’re then told to color the five
frame to show how many pencils there are. And we can see three possible
answers. There’re five frames that have been
colored in. But which one is correct? You know, five frames like this are
a good way to count numbers up to five. Let’s color our own five frame
in. Then, we know what to look for in
the answer.

To make sure we remember which
pencils we’ve counted, let’s move them every time we say a new number. One — we’ve colored one of the
squares in our five frame — two, three, four. We’ve counted four pencils. And we’ve colored the five frame to
show the number four. Now, which of our three possible
answers shows the number four too, just like the one we’ve colored in? Well, one of the five frames we
don’t even need to count. We can see that it’s completely
colored in. And because it’s a five frame, it
shows the number five. We want to show the number
four. So this answer is not correct.

What about this five frame? Does this look the same as the one
we colored in? One, two, three. This five frame represents the
number three, not four. The correct answer must be this
one. But let’s just count the squares
just to check, one, two, three, four. We colored a five frame to show how
many pencils there were. We counted four pencils. And so the correct answer is the
one that shows four squares shaded.

In that question, we moved the
pencils around. They still look a little bit the
same, but in a different position.

In our final example, we can have a
go at counting objects that are in different positions. Remember those fish at the start of
the video.

This card has five dots. Pick another card with five
dots. And then, pick another card with
five dots.

In this problem, we’re shown a card
that has five dots on it. We don’t need to count them. We’re told that it has five
dots. Then, there are two parts to our
problem. And they’re both very similar. Firstly, we’re shown three tall
cards. And we’re told to pick another card
that has five dots on it. And the second part of the problem
is very similar. We’re shown three more pictures of
cards with dots on them. This time, they’re square
cards. And instead of the dots being in a
line, they’re in different patterns. But the questions are exactly the
same. We’re told to pick another card
with five dots.

Now, if this here is what five dots
look like on a card, it doesn’t look like any of our cards that have got five dots
on them. There are no cards that have five
dots in a row going across like this. We know we can show the number five
in different ways. Let’s use these counters to model
the line of five dots on the first card. But all we have to do is to move
our counters so they make a tall line of dots, just like those on our first set of
cards. There we go.

Now which one of our cards shows a
pattern just like this? Let’s count the dots. The first card shows one, two,
three, four dots. We’re looking for five dots. So let’s look at our second card,
one, two, three, four, five dots. And if we just check our final
card, one, two, three, four, five, and there’s still another one. This is too many. This is the card that shows five
dots.

Now, let’s count the dots on our
second set of cards, one, two, three, four, five. And there’s still one more. This is too many. We have more than five on this
card. What about our second card? One, two, three, four. We need five dots. It must be our final card, one,
two, three, four, five. There are five dots on the last
card. And if we look at the pattern of
the dots on this card, we can move our counters to make exactly the same
pattern. Our answers show that we can make
the number five in different ways.

What have we learned in this
video? Well, firstly, we’ve learned to
count four or five objects. And although counting from one to
five is always the same, we’ve recorded our counting in different ways. Sometimes, we’ve used counters or
drawn dots. We’ve also learned how to model
four or five objects in different ways too, like using a ten frame. Finally, we’ve learned that often
the same number may look different. Think of those dots in the last
question.