Lesson video

Hello, my name's Mrs. Hopper and I'm really happy that we are going to be working together in our maths lesson today.

We're gonna work hard, we're going to do lots of thinking about our maths, but I'm really looking forward to sharing this learning with you.

So let's see what's in today's lesson.

So today's lesson is all about skip counting in twos going forwards and backwards and noticing the patterns that we count.

And it's from the unit about unitizing and coin recognition and counting in twos and fives and tens.

So let's see what our lesson about skip counting in twos is all about.

We've got one keyword today and that's the word twos.

So my turn, twos, your turn.

Well done.

So look out for that.

We're going to be counting in twos a lot today in the lesson.

So look out for that word as we go through our lesson.

So there are two parts to our lesson today.

We're going to be counting forwards in steps of two to 20.

And then in the second part we're going to be counting backwards in steps of two from 20.

So let's get into our lesson.

And we've got Sam and Jacob helping us with our learning today.

Sam is skip counting the even numbers on her number line.

Can you see them there marked for us? Sam says, when we only count the even numbers, it's called counting in twos.

So let's count forward in twos.

Are you ready? 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Well done.

Excellent counting.

Did you notice a pattern? Can you see with the number shapes we've got there, can you see anything happening? I noticed that we've got 2, 4, 6, 8, and 10.

And then when we carry on counting 12, 14, 16, 18, 20, we can see that pattern of 2, 4, 6, 8, and 10 repeating.

And Sam spotted the ones digit follows the pattern 0, 2, 4, 6, 8.

And we can see that in the numbers we've got on the number line 2, 4, 6, 8, 10.

And then if we look at our ones digit, we can see that we've got our 10, but we've then got a 10 and two ones, a 10 and four ones, a 10 and six ones, a 10 and eight ones and then two tens.

We can see that pattern repeating.

We can see this pattern when we count in twos up to 20 on a 100 square as well.

So we're only going to be using a small part of the 100 square.

Let's count 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Can you explain the pattern? So in each decade, in each number up to a multiple of 10, so up to 10, up to 20, up to 30, and it would carry on, in each decade, the ones digit follows the pattern, 2, 4, 6, 8, and then a 0.

And we can see that in the top line, 2, 4, 6, 8, and 10 with 0 in the ones.

And then 12, 14, 16, 18, 20.

And we can see the ones digits going 2, 4, 6, 8, and back to 0 again.

Let's look at the pattern on the Gattegno chart.

So we're going to count in twos again and watch how our tens and our ones build up.

So let's count 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

And we could see as we counted that pattern repeating, what do you notice about the numbers when you count in twos past 10? So when we're counting forwards in twos, the ones digit follows the pattern.

2, 4, 6, 8, 0.

So when we got to 10, we had to 12, which was 10 and two more then 14, 10 and four more.

And we could see that ones digit changing following that pattern.

So let's count forward in twos to 20.

Let's do it in different ways.

Can you do it in the loud voice? Are you ready? Let's count together.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Was your voice louder than mine? Let's do it in a really quiet voice this time.

Are you ready? 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

I wonder how quiet you were.

Can we do it really slowly? Let's try.

Are you ready? 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Were you slower than me or were you a bit faster? And let's see if we can do it really quickly.

Are you ready? Let's go.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Wow.

Did you win the race to 20 or did I? You could practise saying the numbers counting forwards in twos to 20 in all those different voices.

'cause knowing that pattern is really useful, really helpful to us.

So the children are playing a game.

Jacob hides one of Sam's numbers and she guesses which one is hidden.

Let's play along with them.

So which number has Jacob hidden? Hmm? Could we use the pattern to help us? Sam says, I will count in twos to find out.

So she could count up in twos, couldn't she? She could count 0, 2, 4, 6, 8, 10, hmm, 14, 16, 18, 20.

So she might know the number that comes after 10 when you count in twos.

Jacob says you could use the number pattern to help you.

So the ones digit is a zero for the one before.

So just before our missing number, we've got the number 10 and the ones digit is a zero.

And we know that the pattern of the ones digits goes 2, 4, 6, 8, 0, 2, 4, 6, 8, 0.

So if we've got a zero, we know that that must be followed by a number with a ones digit of two.

So after 10 we must have 12, one 10, and two ones.

Well done If you got that right.

Which number has Jacob hidden this time? Can you use the pattern to help you? Look at the number before the hidden one? And let's have a look at that number and see if we can see anything about the number there that will give us a clue to the hidden number.

So the number before the one that's hidden, the ones digit is four.

So if we think about the pattern 0, 2, 4, 6, 8 oh, it must be followed by a ones digit of six.

So our missing number must be 16.

We can use that pattern to help us.

Time to check your understanding now.

Jacob's hidden another number.

So which number is missing from the count? Can you use the pattern to help you? Could you maybe check by counting as well? So pause the video and work out what the missing number is and then we'll have a look together.

How did you get on? Did you spot that the missing number was 14? and I think Sam's done a bit of work here.

Sam says, I knew 14 was missing because when the ones digit is a two so that was the number that was before the missing number.

It is always followed by a number with a ones digit of four because we can see the pattern.

So the number missing was 14.

One more to check your understanding.

Which number is missing from the count? Which number has Jacob hidden this time? So pause the video and then we'll talk about it together.

How did you get on this time? Did you spot that the missing number was 20? And I think Sam's done some thinking here.

I knew 20 was missing because when the ones digit is eight, it's followed by a number with a ones digit of zero and we could see 18 and it was the next number that was hidden.

So we've got to an eight in the ones column.

So we know that that pattern goes 2, 4, 6, 8 and then back to zero again.

Well done if you got that right.

So we can count on in twos from any even number.

So point to the number I say on the hundred square and then we're going to count forward in twos from that number to 20.

So we're going to start our count at 14.

So we start at 14 and we count 16, 18, 20.

Well done.

Let's try another one.

This time we're going to start on 10.

Can you find 10 on a hundred square? Well done.

So we start our count at 10.

And we count 12, 14, 16, 18, 20.

Great counting.

Can you see the pattern there? The 0, 2, 4, 6, 8 and then back to 0 again When we look at our ones digit.

Useful pattern to spot that one, but great counting.

Well done.

Okay, time for you to have a go.

Check your understanding.

So we're going to count forward in twos and we're going to start at eight.

So there's eight.

So pause the video and carry on the count from eight counting in twos all the way up to 20.

How did you get on? Let's do it together.

We were starting at eight.

So we start our counts at eight and we count 10, 12, 14, 16, 18, 20.

Great counting.

Well done.

Sam's been counting in twos, but Sam's made some mistakes when counting in twos.

Let's help her to correct them.

So here she goes.

0, 2, 4, 6, 8, 10, 12, 14, 18, 16, 20.

Hmm.

There was something not right there was it? I wasn't sure we got that right after 14.

I think she's got those in the wrong order, hasn't she? So let's correct it for her.

That's better.

So let's count it together.

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

So she's counted again, let's help her correct again, let's count with her.

0, 2, 4, 6, 8, 10, 14, 16, 18, 20.

Hmm.

Can you see where the mistake is this time? We've got a 14 and a 16, but there's too big a gap, isn't there? We've missed something out.

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

So this time Sam had missed out a number, she'd missed out the number 12.

So we must be careful not to miss anything out and not to get numbers in the wrong order when we are counting in twos up to 20.

So when counting forwards in twos, which of the following is incorrect? Which one is not correct? So let's have a look.

Is it A, is it B or is it C? So pause the video and have a think which of these is not correct when we're counting forwards in twos.

How did you get on? Which one did you spot was the wrong count when we're counting in twos? That's right, it was B wasn't it? 10 has a ones digit of zero.

So it must be followed by a number with a ones digit of two, but we've got 10 and then 14.

So we are missing out number 12, it should be 10, 12, 14.

And then onto 16.

Well done.

Time for you to do some practise now.

You are going to count in twos to find the missing numbers.

So you've got some sort of number tracks there with some numbers to start you off and some missing numbers as well.

So can you fill in the missing numbers in one, in those four different number tracks.

And then for the second part of your practise then some numbers have been dropped.

So can you put them back in order and write them in the correct order in the spaces that you can see below.

So pause the video, have a go at your tasks and then we'll talk about them together.

How did you get on? Let's have a look at number one.

So A started us off with 2, 4 and can you think what was going to come next to carry on counting in twos? 2, 4, 6, 8, 10, 12.

So those were the ones we had on our count for A.

In B, we're starting at 10.

So we've got 10, 12, 14, 16, 18, and 20.

For C, we had some missing numbers.

So we've got 8, 10, 12, and then we were given 14, 16 and the next one must be 18 and then finally 20.

And then for part D, oh we've got a missing one at the beginning.

So the first number we've got is 12.

So what number comes before 12 when we're counting in twos? Well if we think about that pattern, it must have a zero in the ones, so it must be 10.

So 10, 12 and then 14, 16, 18.

And finally 20.

And onto number two, did you manage to put the numbers back in order that have been dropped? What was the smallest number there? I think it was eight, wasn't it? So we had eight, then 10, then 12, 14, 16, and 18.

So we've now got our numbers in the correct order.

Well done.

We've come to the end of part one.

Let's see what's going to happen in part two of our lesson.

So in the second part of our lesson, we're going to think about counting backwards in steps of two from 20, we've counted forwards.

Now let's think about counting backwards so we can count backwards in twos and use the number line to help us.

Are you ready to count along with Sam? 20, 18, 16, 14, 12, 10, 8, 6, 4, 2 and 0.

Well done.

Can you see a pattern again in the number shapes? It's the same pattern we had when we were counting forwards, but this time we're just thinking about those numbers changing in a different order.

So can you see again that as we count backwards, we've got that 8, 6, 4, 2, 0, 8, 6, 4, 2, 0 pattern.

So the same pattern we had when we were counting forwards, but just the other way round.

We can count backwards in twos from 20 on a hundred square as well.

So you ready to count? Let's go 20, 18, 16, 14, 12, 10, 8, 6, 4 and 2.

Did you notice a pattern this time? So in each decade number, so that's the numbers up to 10, then the numbers up to 20, and then it will be in the numbers up to 30 as well.

The numbers end in a 0, 8, 6, 4 or 2.

So there's ones digits.

Follow that pattern again, but this time we're going from 0 to 8 and then down to 6, 4 and 2 and to 0 again.

And if you look at each row in our a hundred square, you can see those ones digits going 0, 8, 6, 4, 2, and then 0, 8, 6, 4 and 2 again.

So similar to the pattern we had counting up twos, but this time going backwards.

Let's look at the pattern again on the Gattegno chart.

So this time we're gonna start at 20 and we're going to count backwards.

So just watch what happens.

Look at the decade numbers, that's 10 and 20.

And then look at what happens with the ones numbers in the row underneath.

So are you ready? Let's count backwards from 20.

20, 18, 16, 14, 12, 10, 8, 6, 4, 2 and 0.

We can't see zero on the Gattegno chart, but we know that that's what's going to happen and what's gonna come next in our count.

What do you notice about the numbers when you count back in twos from 20? So when we count backwards in twos from 20, the ones digits follow the pattern 0, 8, 6, 4, 2, 0, 8, 6, 4, 2.

And that pattern carries on.

So let's count backwards in twos from 20 in different ways.

Can we do it in a loud voice? We did this counting up, didn't we? Let's do it counting backwards.

Are you ready to count backwards from 20 in a really loud voice? Are you ready? Let's count.

20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0.

Can we do it in a really quiet voice this time? Let's really whisper.

Are you ready? 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0.

How quiet were you? Can we do it really slowly this time? Are you ready to start counting backwards from 20? Let's count 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0.

And what do you think the last one's gonna be? Can we do it really quickly and really think about the numbers we're saying? Are you ready? Let's see how quickly we can count backwards in twos from 20.

Let's count 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0.

That was quite tricky, wasn't it? That's something that's worth practising.

So see if you can do it in as many different ways as you can to practise counting backwards in twos from 20, Sam is ordering her digit cards from the largest to the smallest.

So you can see she's started over here with 20 and 18.

I wonder what she's going to put next.

So she's going to continue going backwards and counting down in twos.

So let's help her to order the rest of the numbers.

So she's got 20 and 18.

So next is going to be 16, 14, 12, 10, 8, 6, 4, 2 and 0.

So did you see that pattern again? We were talking about the 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0.

We can see that clearly in those ones digits, can't we? We can count back in twos from any even number.

We don't have to start at 20.

So point to the number I say and count backwards in twos from that number all the way to zero, even though it's not on our a hundred square.

So what number are we going to start at? We start our count at 14 and we count 12, 10, 8, 6, 4, 2, 0.

Well done.

Let's try another one this time we're going to start our counts at 18 and we're going to count 16, 14, 12, 10, 8, 6, 4, 2 and 0.

Well done.

Great counting.

Time for you to check your understanding.

You're going to use a hundred square to help you and you're going to count backwards in twos from 16.

Pause the video and do your count and then we'll check afterwards.

How did you get on? So let's count the back together.

But we start our counts at 16 and we count 14, 12, 10, 8, 6, 4, 2 and 0.

Well done.

Great counting.

Sam's been counting backwards in twos but she's made a mistake.

Let's help her to find her mistake.

Are you ready? 20, 18, 16, 12, 14, 10, 8, 6, 4, 2 and 0.

Can you see Sam's mistake? Can you use the pattern to help you? Hmm? So we got 20, 18, 16, but then we shouldn't have 12 next, should we? I think she's got those two in the wrong order.

There we go.

That's better.

20, 18, 16, 14, 12, 10, 8, 6, 4, 2 and 0.

And we can see the pattern that we've been spotting is correct.

Now we've swapped those numbers around.

Let's help her find a mistake this time, 20, 18, 16, 12, 10, 8, 6, 4, 2, 0.

Hmm There was something not quite right again, wasn't there between 20 down to 10.

Can you see what's happened this time? There's something wrong in there, isn't there? If we think about our pattern, we can see that this time Sam has missed out a number.

She's missed out 14, hasn't she? That's better.

Let's count and check.

20, 18, 16, 14, 12, 10, 8, 6, 4, 2 and 0.

That's better.

The pattern's correct this time.

So we must be careful when we're counting not to get numbers in the wrong order and not to miss any numbers out.

So counting backwards in twos, which of the following is correct? So we're looking for the one that is correct in showing numbers counting backwards in twos.

So is it A, is it B or is it C? Pause the video, have a go and then we'll talk about it together.

How did you get on? Did you spot the one that was correct this time? That's right, it was C, wasn't it 16, 14, 12.

We can see that pattern.

When counting backwards in twos, the ones digits follow the pattern.

0, 8, 6, 4 2.

And we can see the 6, 4 ,2 in the ones digits of C.

The pattern wasn't correct in A or B.

Time for you to do some practise now.

You're going to have a look at some strips of paper and the arrow shows us that we are counting backwards here from 8 down to 2.

So we're going to choose a strip of paper and we're going to read it out to your partner.

And we're going to count from the number at the beginning of the arrow, which is 8.

And we're going to count backwards in twos 'cause our arrow is pointing back towards 2.

So you're going to use a stem sentence to describe your count to your partner.

So the stem sentence is I start my count at hmm and I count backwards to hmm.

So for this one it will be I start my count at 8 and I count backwards to 2.

And remember to say forwards if you have to count on, sometimes the arrow might be pointing the other direction.

This time though we're counting backwards.

There's an extra bit though because with every strip of paper, with every count you do, there's a number and a little sort of thought bubble there, isn't it? And you've got to think, will I say this number in my count? So the last part of our stem sentence says, will I say the number hmm? So for this one it's will I say the number 12? So I start my count at eight, I count backwards to two.

Will I say the number 12? And you have to decide whether you will or you won't say the number 12.

And you can obviously count to check.

So you're gonna answer the question and explain how you know you are right.

So here are your strips to have a go with and use the stem sentences to help you.

So pause the video, have a go, and then we'll talk about them afterwards.

How did you get on? Here's one example.

This was the one we had, wasn't it? I'll start my count at 8 and I count backwards to 2.

Will I say the number 12? Did you say the number 12? Counting backwards from 8 to 2.

Jacob says, I know I won't say 12 when counting back from 8 because 12 is more than 8 and the numbers counted will be less than 8.

And I'll prove it by counting.

So can we help him and count? Let's count backwards from 8 to 2.

8, 6, 4, 2.

We definitely didn't say the number 12, did we? Let's have a look at another one.

So this time it says I will start my count at 8 and I count backwards to 2.

Will I say the number 6? Hmm.

Can you count and see? Aisha says, I know I will say 6 because it is in between 8 and 2 and I'll prove it by counting.

Shall we do the count? So we're starting at 8 and counting backwards.

8, 6 or there is our number straightaway.

Let's count backwards again.

8, 6, 4, 2.

So yes, we will definitely say the number 6.

You've worked really hard in your lesson.

We've done a lot of counting forwards and backwards in twos, haven't we? It's been really good fun working with you on your counting.

So what have we learned today? We've learned that when we're counting forwards in twos, the ones digits follow the pattern 0, 2, 4, 6, and 8.

We've also learned that when we count backwards in twos, the ones digit follows the pattern 8, 6, 4, 2 0.

It goes the other way round.

And we've learned that we can use the patterns when counting to help us remember the numbers.

So have fun practising your counting in twos forwards and backwards.

And I hope I'll get to work with you again soon.

Bye-bye.