Hello again i'm claire and welcome to lesson seven. Today i'm going to be talking
about patterns in numbers and efficient counting strategies. You'll need a pen
and some paper. You might be using post-it notes or a scrapbook like i have been doing
and if you have collections to count or if you have dice they'll be useful as well. Our
learning intention today is recognizing and representing numbers to 10 by sabotaging
and partitioning one-digit numbers. If you haven't seen our previous lessons we have been learning
lots about counting and numbers. We have been learning about the counting principles
and we have counted lots of collections. We've counted in twos and we've counted in tens. We've
counted forwards and backwards from random numbers on the hundred chart. Some of us made hundred
charts. You might have made a hundred chart like i did in my book. so what have you been doing since
i last saw you. have you been counting collections around the house? have you been counting how many
pieces of toast you eat? maybe you've been counting how many times your
dog wags his tail. my dog is very interesting. i have a very big dog and every time i come into
the house he wags his tail and i counted how many times he wagged his tail while i was coming in the
door the other day . And do you know he counted he wagged his tail 17 times and he does it so fast
i had to count really fast.One two three four five six seven eight nine fifteen seventeen.
Can you count that fast? It's hard to count that fast isn't it
.all right did you practice counting like that and did you record the total? did you record
the total? remember we've been learning that word total? Total is the mathematician's word
that tells you how many and you may even have found the total on your numbers chart.
all right let's see how much you practiced before. Did you practice with your numbers chart? Did you
find numbers beyond a hundred? Perhaps you counted to a hundred and twenty. That's really good isn't
it because we can these aren't the only numbers are they? there are lots more numbers. Last week
we talked about there being a zero before one and we know after a hundred of course there's
more numbers and the pattern repeats to 101 102 103 104 105 106 107 108 109 oh what happens next
110. That's the tricky one isn't it 110. And we'll talk more about that in the next few weeks.
okay last week. i've been holding these cards in my hand because i want to see,
did you practise what we were doing last week? We talked about that mathematician's word subitizing.
Can you remember what subitizing means? subitizing is that way that you know how many there
are without counting. When you subitize you just know it. Let's see if we remember how to
sabotage. so i'm going to show you some. it's a funny word isn't it subitized but it's very
useful when you're doing mathematics. so with your subitizing skills can you tell me how many?
beautiful. i heard you say four that's really clever and you know what? you didn't have to
count each dot you just knew how many and that's subitizing well done. some people may have
had to look and say two and two more because that's a pattern here on this card isn't it.
two and two more and they still said four because they're subitized well done. let's try some more.
Oh do you remember i showed you these ones before? These were done by children in Port Lincoln junior
primary school. They sabotaged using fish. so how many fish? oh you already said three well done.
There are three fish on that card three. What about this one? This is one that you often see
on your dice when you're playing with your friends and we played a few games last week with our dice.
You already knew that was five very good. Some of you may have gone:
there's two there, one in the middle and two more, that makes five. Some of you may have done
it this way: two one two five. Or you may have seen immediately that there was two on the top
two on the bottom and then added another one five. All of that is subitizing It's seeing the pattern
of the dots and knowing how many i put this card in to see do you remember some of the other work
we did? Remember we looked at some numbers and some number names? Do you know this number
eleven? Excellent and that's how you write it eleven i know some of you have been
doing lots of phonics and you will be able to tell me how many syllables are in eleven.
Very good three syllables in eleven.
How many there? You were too quick for me that was two. well done Oh and here's some more fish.
How many are there? Some of you may have seen that there was three and three more and you know what
this is called doubles. It's a double three isn't it? Three and three more ,double three
that's six. Good job. And this one three again but it's a different pattern this time isn't
it? It's one and then two more and this one good job that's three again. i was trying to trick you
oh you knew that was one. Good job oh how about this one. They've made the dice pattern
with fish and you knew there was five didn't you? You didn't have to count them well done. Oh
here's another number. Remember we were practising saying those teen numbers very clearly this is 14.
And this one is oh yes well done. You went two and two and two more that is six or maybe you went
three and three that's six or maybe you just knew it. You just knew there was six because
six is a lucky number when you're playing snakes and ladders .
how about were you able to read that number? Were you able to know that was five? Good job.
Some more fish. You said three good job. Did you have to count each one? No you subitized good job.
How about this word i haven't written the number on there i have actually done the
word and remember this is a t word. We know that's one of the ones ending in zero and it's this one
seventy. Were you able to read that? That was very tricky that was a tricky one all right now
i have a sabotaging card over here and i've kept it over here because it's a little bit different.
And can you see that this one is seven? Did you say that before me? Well done. Seven. So in this
one you can see that there's an arrangement of dots here. Four and then some over there. And
you can see that's three. so four and three make seven. Did you just know there were seven or did
you have to look at the different patterns? Perhaps you said two and two more makes four
and three more make seven or perhaps you saw the three straight away and you went three and
two more likes five and two more makes seven. It doesn't really matter how you look at it
as long as you get to the total. Remember that word total. The total tells you how many
very good. Well done everybody. Now mathematicians they like things to be organized so they often
put their dots into what we call 10 frames. Some of you may have used 10 frames when you were in
reception last year and for some of you this might be new so i'm going to show you how to
make a 10 frame. Take a blank piece of paper and draw a line down the middle
and now we're going to draw some lines across. So here we go there's one two
three four. So we have ten spaces can you see we have ten spaces? One
two three four five six seven eight nine ten. Did you see that? so ten spaces in our ten frame
and that's why it's called a ten frame. ten spaces to put things in and mathematicians
like to be very organized so they put their dots into ten frames. i've got some counters here which
are going to act as our dots. so i'm going to put in five. Are you ready? One two three four
five. Can you see that there's five spaces filled and five empty spaces
and it's a ten frame? It's a bit like your hands isn't it, you always know there's ten.
In a ten frame you always know those ten spaces. so i've taken up how many spaces ? One two three
four five. If i put my dot over here how many is it? You're right. It's still a five isn't it
because i have one two three four five and i have five empty spaces one two three four five . Oh i
nearly missed that five one didn't i? Counting, you have to be very careful when you're counting.
Now what about if i put them all back over here and i put some more on so i've got five six
seven eight nine ten. I have ten counters in my ten frame all right. What about if i take
two away? i'm going to take these two away?how many have i got now?
Oh excellent i have eight. eight in my ten frame. it's very like having to use your hands isn't it?
i have ten fingers take two away i've got eight. Ten frame is very similar and mathematicians love
organizing their dots in this way because they can tell all sorts of things from a ten frame.
i can tell you for example that eight is double four . Can you see that there's a four there
and a four there so eight is double four. i can also tell you that an eight
is two four six 8 and 8 is made up of four 2's. Can you see that? i can also see
that 8 is 2 less than 10 because i know there are always ten spaces in a ten frame but there are two
empty spaces here so i know that eight is two less than ten. Now if i want to use some other colors
i can actually tell other things all right. So how many counters do i have? How many is my ten frame?
How many counters? Oh yeah eight. so that's eight in my ten frame
but look at this. This is eight all together. so my total is eight but how many are yellow?
Six are yellow. One two three four five six. Six are yellow and two are red. so i can tell that
six and two makes eight because i knew there was eight there. Remember i have those two
empty spaces there. i can also tell you that eight if i turn that one over is
a five and a three. Can you see that it's a five? One two three four five and a three. One two three
but how many are there in total? Still eight excellent. Now remember we talked before
about the double four. We were able to see that very well and we can even do it this
way makes it even clearer. We have four red ones and four yellow ones double four makes
eight that's right. so eight is all of these things. i can do it again by changing the
another one to red and you can see again i've got five red and three yellow. How many does it make?
Eight still eight. Isn't that amazing. We know this because the ten frame holds the
counters to tell us the total. It tells us the total but the total can be made up of smaller
numbers in in underneath. so you can see if i turn over another one how many was that? There's four
in that line plus another two red ones that's six and then there's two yellow ones. so an eight is
also six and two more very good. You can tell lots of things from a ten frame. i've got some
here. i want you to tell me what you can what you can see all right. Are you ready? so having
a look at these how many is in the 10 frame? Did you say 10? You're correct. As you can see you
can look at it in two ways. You can go 2 4 6 8 10 counting in twos or you can say it's double five,
five on the top row and five on the bottom row. Double five makes ten. How about this ten frame?
One. Beautiful. You could sabotage that very easily couldn't you. one how about we try
another one. Let's try this one here. There's a tricky one. What do you see? Do you see two
four and then three making seven or maybe you see five on the bottom and two more makes
seven. A tens frame can be used in any direction. You can use it on this way
or this way so you may have seen two and another two making four and then three more making seven
or you may have looked at it five on the bottom row and two more makes seven.
Sometimes we use more than one ten frame and when we're doing our bigger numbers it's useful to have
more than one 10 frame. so let's have a look at a couple of ten frames together. Now i've got a
10 frame here and it's got how many counters in there? Let's see it's got eight counters in it.
Can you see that? Do you want to count them with me? Did you go
two four six eight or perhaps you went four and four more makes eight. Now on this other one
i'm going to put this many counters and see if you can figure out how many i've put in.
Let's see oops how many counters have i got on the other one?
You're right. There are six. Did you go two four six or perhaps you went double three,
there's a three there and a three there. Did you do that or did you just sabotage.
Did you just know that there were six?
This is a really handy way to add numbers together. so let's think about if i wanted to
think about eight and six more. i could move two of my counters over there.
How many are here now? Oh you're right it's a ten frame so of course there are ten. Ten and
how many have i got left over here? Did you say double two? Well done. i have double two which is
four. Ten and four is fourteen. That's a good job. Two ten frames are very handy for counting
in this way. After this lesson you might like to practise your subitizing using dice or dominoes.
You might use your dice and play snakes and ladders
or you might make a ten frame like mine and practise putting the counters into the ten frame.
See you next time.