Lesson video

Hello, my name's Mrs. Cormwell and I'm going to be helping you with your learning today.

I'm so pleased we're working together.

I know you'll work really hard and I think we're going to do brilliantly.

So let's get started.

So today's lesson is called Counting Patterns Within a Decade, and it comes from the unit Patterns in Counting From 20 to 100.

So in today's lesson, you're going to be pattern spotters.

You're going to look for patterns in numbers that can help you when you're counting larger numbers.

And by the end of today's lesson you'll be able to notice those patterns and use them to help you.

So the words that are going to be important for our learning today are row.

So my turn, row, your turn.

And then we've got pattern, my turn pattern, your turn.

And then we've got decade, my turn, decade, your turn, decade, well done.

So the first part of today's lesson then, we're going to notice patterns within a decade counting forwards.

And then we'll move on to looking at patterns within a decade when we're counting backwards in the second part of today's lesson.

In this lesson you will meet Aisha and you'll also meet Lucas.

They're going to help us with spotting those patterns today.

Aisha and Lucas are playing a counting game.

Every time they try a task, they count to 100 to see how long it takes.

So there's Aisha and she's saying, "I'm going to write my name." And Lucas says, "I'll count." And then she says, "Now I will walk to the office and back." And again Lucas says, "I'll count." Perhaps you can pick a short activity to carry out and ask your partner to count while you do it.

See what number they reach.

So we've got a one hundred square here.

Can you remember where the decade numbers are on your one hundred square? That's right, they're at the end of each line, Each row at the end of them, aren't they? So let's count along the one hundred square pointing to each number as we count.

When you get to the decade number at the end of each row, at the end of each line, then flash your 10 fingers to show that you've reached a decade number, are you ready? Okay, off we go.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100.

Well done, did you remember to flash your fingers for those decade numbers? Excellent.

So, each row in a one hundred square has 10 numbers in it.

There you can see, there's one row, the first row there.

And then we've got another row and another row.

So you can see there are rows in the one hundred square and they each have 10 numbers.

Each row has a special name.

Aisha says, "The first part of the number I say "can give me a clue that helps us to find out the name." This first row is called the ones, isn't it? Then we have the teens, the twenties, the thirties, the forties, the fifties.

Can you predict the names of the rows after the fifties, do you think? What do you think will come after the fifties? That's right, the sixties, the seventies, the eighties and the nineties, well done, well spotted.

So let's do a little check of your understanding now.

So you're going to match the rows to their names.

So we've got the forties, the thirties, and the eighties, and you can see three rows from our one hundred square there.

So pause the video now while you try to match those up.

Let's have a try together then, see how we got on.

So the forties, which row is the forties? That's right, if you look at the start of the row, you can see it starts with 41.

And that gives us a clue, doesn't it? What about the thirties? That's right, the thirties start with 31, 32.

So the starts of those numbers can help us.

And the eighties, that's right start with 81, 82.

Well done, that was excellent.

Lucas and Aisha want to put the rows from the one hundred square in order.

They use the patterns in the numbers to help them.

So here's Lucas and he says, "I will look at the start "of each number to see which row they are from." So he's looking at 41, 42, 51, 52 and so on, isn't he? And he says, "I can see the thirties, then the forties, "then the fifties," and that's going to help him.

So he knows the thirties will come first, won't he? 'Cause 30 comes before 40.

So when you say 30, 3 tens is less than 4 tens.

Then 41, then 51, excellent.

Aisha says, "I will use the decade numbers to help me." So she looks at the end of each row, she looks at the 50, and the 60, and the 40.

And she says, "When I order these decade numbers, "I count 40, 50, 60," so she uses that to help her, 40, 50, 60.

So they both used a different way to order those rows, didn't they? So we're going to check your understanding again here now.

So here's a row from a one hundred square.

Which row do you think will come next? So look at that row and think about what row it is.

And then, you've got to choose which one of these you think will come next sixties, fifties, or thirties? Pause the video now while you have a try at that.

Okay, so what did you think? Did you notice that that was the forties row, starts with 41, 42, so which row will come after the forties, do you think? That's right, it will be the fifties, won't it, well done.

Some numbers fall off Lucas's one hundred square.

He spots a pattern that can help him order the numbers within each row.

So you can see you've got the ones row there and the twenties row there, and Aisha's looking for that pattern, and she's thinking about what's the same? While Lucas is thinking about what's different? I wonder what's the same and what's different? And then also, if we look at the thirties row, we can ask ourself the same question.

What's the same and what's different there? Did you spot the pattern in each row? The numbers end in the same way.

So that's what's the same, isn't it? They all end 1, 2, 3, 4, 5, 6, 7, 8, 9, and then the zero on the decade number.

But what was different is they start differently, don't they? The twenties row starts with the twenties, 21, 22.

The thirties row starts with the thirties, that's right, well done.

So here we've got a Gattegno chart and it helps us to understand how numbers are made up.

So here's Aisha and she says, "We can easily see "the pattern made by the numbers "if we tap them on a Gattegno chart as we say them." So she's got 21 and she's going to tap 21 on a Gattegno chart and she taps a 20 and a 1.

Then she taps 22, what do you think she'll tap? That's right, 20 and a 2.

23, 20 and a 3.

24, 20 and a 4.

25, 20 and a 5.

26, what do you think? That's right, 20 and a 6.

27, 20 and a 7, well done.

28, 20 and 8.

29, 20 and a 9.

So the 20 stays the same, but you can see the end of the numbers changes, doesn't it? It goes in a pattern.

So time to check your understanding again.

So you're going to tap out the following numbers on your Gattegno chart or point to the correct numbers on the board, okay? And you can see 31, 32, all of the thirties row there.

So pause the video now while you tap out those numbers.

Let's have a look at how you got on, we'll do it together.

So first of all, we will tap out 31.

So that will be a 30 and a 1, that's right.

Then 32, 30 and a 2.

33, 30 and a 3.

34, 30 and a 4.

35, 30 and a 5.

You notice how the 30's staying the same and it's the end of the numbers that's changing, isn't it, so what will come next? 36, 30 and a 6.

37, 30 and a 7.

38, 30 and a 8.

39, 30 and a 9, excellent work, that was really good.

So we've got Lucas here and he's got a Gattegno chart as well.

He says, "We can say the numbers in a different way.

"We know 20 is 2 tens, so we could say.

." Instead of saying 21, we could say 2 tens 1.

Okay, so let's count in that way then.

2 tens 1, 2 tens 2, that's right.

2 tens 3, 2 tens 4, 2 tens 5, 2 tens 6, 2 tens 7, what will come next? That's right, 2 tens 8 and 2 tens 9, well done.

So let's continue the count in the way shown.

So it's time to check your understanding again here, isn't it? So you're going to count in that way.

So you're going to start from 3 tens 1, and count along to the end of the row.

So pause the video while you have a try at that.

So how did we get on? Let's do it together.

3 tens 1, what will come next? We've got 3 tens 2, that's right.

3 tens 3, 3 tens 4, 3 tens 5, 3 tens 6, 3 tens 7, 3 tens 8, and 3 tens 9.

Excellent, that was really good work spotting those patterns.

So we've got a one hundred square here and it says count to the end of the row from each number.

Okay, so I start my count at 41.

So we're on the forties row and I count 41, 42, 43, 44, 45, 46, 47, 48, 49, well done.

Now let's count in a different way.

I start my count from 4 tens 1 and I count 4 tens 1, 4 tens 2, 4 tens 3, 4 tens 4, 4 tens 5, 4 tens 6, 4 tens 7, 4 tens 8, 4 tens 9.

Well done, excellent.

So let's check your understanding again, okay? You're going to use the patterns in the numbers on your one hundred square to help order the forties row.

So there are the numbers from the forties row all muddled up and you've got to put them back in order remembering to look for that pattern to help you.

So pause the video now while you have a try at that.

Okay so, let's do it together now then.

So which number will you look for first? That's right, it will be 41, excellent.

Then, 42, 43, 44, 45, 46, 47, 48, 49.

And then at the end of the forties we've got 50, 49, 50.

Excellent work, you're really using those patterns now, aren't you? So Lucas is telling us how he did it and he's saying, "I knew each number would start with 40, "so I only had to look at the end of the number." Each number ends with 1, 2, 3, 4, 5, 6, 7, 8, 9.

It's that pattern, and there we can see it's the pattern from the ones numbers.

So your task for the first part of today's lesson is you've got some rows from a Gattegno chart there.

You've got the sixties, the fifties, the thirties and the twenties.

And you've got to pick a row and tap out the numbers on your Gattegno chart, and count the numbers in two different ways.

So you'll count them as they are there, 61, 62.

But you will also count them in the way that Lucas counted 6 tens 1, 6 tens 2.

So pause the video now while you have a try at tapping out those numbers on each row.

So you may have picked the sixties row first.

Here we've got the sixties, okay? And you may have counted along the sixties and you you would've tapped 61, 62, 63, 64, 65, 66, 67, 68, 69, 70.

You also have counted in a different way, won't you? So you'll have said 6 tens 1, 6 tens 2, 6 tens 3, 6 tens 4, 6 tens 5, 6 tens 6, 6 tens 7, 6 tens 8, 6 tens 9, 70.

Well done, that was excellent work.

You worked really hard spotting patterns in this first part of today's lesson.

So that's excellent, well done.

So in the second part of today's lesson then, we're going to notice patterns and be pattern spotters.

But this time we're looking for the patterns when we're counting backwards.

So we've got a one hundred square again here.

Can we point to the rows on your one hundred square and explain how you know which row is which.

So can you point to the ones? That's right, it's the first row on your one hundred square, isn't it? The twenties, where are the twenties? That's right, if you look at the start of the row, you can see they're the ones that begin with 20 something.

The forties, yeah, they're the ones that start with 40 something, aren't they? And the sixties, they're the ones that start with 60 something, excellent.

Lucas finds this row on his one hundred square, what row is it? That's right, it's the seventies, isn't it? Aisha is looking for the one before it.

Which one should she look for? Which row do you think will come before the seventies? That's right, it will be the sixties, won't it? Excellent.

You can use the patterns within rows to help you count backwards, so let's count backwards from 10.

10, 9, 8, 7, 6, 5, 4, 3, 2, 1.

Okay, now count backwards from 30.

30, 29, 28, 27, 26, 25, 24, 23, 22, 21.

What did you notice? That's right, you can look at the end of each number to help you count backwards, can't you? And it's got the same pattern.

So now it's time to check your understanding again.

Aisha has got up her one hundred square and ordered all of the rows she has found so far.

She's now looking for this one.

Which row should she look for? So you can see the rows that are already there and that can help you, can't it? So pause the video while you have a think about that.

Okay so did you use the other rows to help you? We have the nineties, the eighties, the seventies, the sixties, the fifties.

So then it will be.

? That's right, the forties, excellent, well done.

So here's Aisha and she says, "We can see the pattern "if we tap the numbers on a Gattegno chart "as we say the numbers," so we can see the counting backwards pattern.

So let's count back from 29.

29 is a 20 and a 9, 28 is a 20 and a 8, 27 is a 20 and a 7, that's right.

26 is a 20 and a 6, 25 is a 20 and a 5, that's right.

24, 20 and a 4, 23 is a 20 and a.

, that's right, a 3.

22, 20 and a 2, and 21, 20 and a one, excellent.

What's the same about all of the numbers that you tapped? That's right, they all started with 20, didn't they? What was different? That's right, they all ended in a different way.

They all ended it with 9, 8, 7, 6, 5, 4, 3, 2, 1, didn't they, excellent.

So time to check your understanding again.

So count backwards from 49 tapping the numbers on your Gattegno chart as you count, or pointing to the numbers on the board.

So pause the video while you have a try and you're going to start your count at 49.

So counting backwards from 49 across the forties row backwards.

So pause the video now.

Okay, and now let's do it together then.

So we're starting at 49, so that is 40 and a 9, then it will be 40 and an 8, won't it, 48.

47 is a 40 and a 7, 46, 40 and a 6, 45, 40 and a 5, 44, 40 and a 4, 43, 40 and a 3, 42, 40 and a 2, 41, that's right, 40 and a one, excellent.

So here's Lucas and he's saying count back from the number shown in a different way 'cause he was counting and saying the tens, wasn't he, in each number? So he says, "We can say the numbers in a different way.

"We know 30 is 3 tens, so we can say 3 tens 9." So let's count backwards with him from 3 tens 9.

3 tens 9, 3 tens 8, that's right, 3 tens 7, 3 tens 6, 3 tens 5, 3 tens 4, 3 tens 3, 3 tens 2, 3 tens 1.

We see that pattern again, well done.

So it's time to check your understanding again now.

So you're going to continue counting backwards from 4 tens 9 in the way shown.

Okay so, pause the video now while you count backwards from 4 tens 9 and tap each number as you count.

Okay and now let's do it together.

So we start at 4 tens 9, don't we? And then it will be 4 tens 8, that's right.

Then 4 tens 7, that's right.

4 tens 6, 4 tens 5, 4 tens 4, 4 tens 3, 4 tens 2, and 4 tens 1, excellent.

So we've got a one hundred square here and it says count back to the start of the row from each number.

So I start my count at 39 and I count, so we're going backwards this time, aren't we? Start my count at 39 and I count 39, 38, 37, 36, 35, 34, 33, 32, 31, excellent.

Now let's do it in a different way.

I start my count at 3 tens 9, and I count 3 tens 9, 3 tens 8, 3 tens 7, 3 tens 6, 3 tens 5, 3 tens 4, 3 tens 3, 3 tens 2, 3 tens 1.

Excellent, well done.

Did you notice a pattern when you were counting those numbers? 39, 38, 37, 36, 35, 34, 33, 32, 31.

"Each number I counted ended "with 9, 8, 7, 6, 5, 4, 3, 2, 1," says Aisha.

So she spotted the pattern, well done if you spotted it too.

So here's the task for the second part of today's lesson.

So you've got to work in a small group or with another person, okay? And choose a number ending in 9 to start with.

So whoever starts counting chooses a number ending in 9, any number from the one hundred square, and then you've got to count backwards from that number, each person taking a turn to say the next number in the count until you get to the start of the row.

So for example, I might choose 29, and then the next person in the group or my partner would say 28, and I'd say 27, and so on until we got back to the start of the twenties row.

As you count, see if you can say this end of each number in a louder voice so we can really hear that pattern.

And then when you had to try at that, see if you can repeat and say the numbers in a different way.

You might choose a different voice and you might say the end of the numbers in a different way.

So pause the video while you have a try at that now.

Let's see how we got on with that then.

So we've got a group of children here, haven't we? They're going round the group counting, but you may have done it just with you and a partner.

Okay, so we've got John and he's starting the count, I start at 29, and there we can see it on the one hundred square, and he would say it, "29," saying that 9 in the louder voice, so 29.

28, 27, 26, 25, 24, 23, 22, 21.

And then we've got to the beginning of the twenties row so now it's the next person's turn to start the count again with a different number ending in 9.

So well done, you've worked really hard spotting those patterns that will help you with your counting today, haven't you? So let's see what we've learned then.

So we found out you can use the patterns in the one hundred square to help you count to and from 100 forwards and backwards, can't you? The one hundred square is split into rows and these can help you count.

And all of the numbers in a row start in the same way except the decade numbers at the end.

So well done, we've found out lots about patterns in numbers and how they can help us today, haven't we? And you've worked really hard spotting those patterns, so excellent, well done.