Lesson video

Hello, I'm Mrs. Cayley and I'm going to help you with your learning today.

So in today's lesson we're going to estimate where the numbers six to nine lie on an unmarked number line.

So let's have a look at today's lesson outcome.

Here's the outcome of today's lesson.

I can estimate where six, seven, eight, and nine can lie on an unmarked number line.

Here are the key words for today's lesson.

Can you say them after me? My turn.

Estimate.

Your turn.

My turn.

Compare.

Your turn.

My turn.

Number line.

Your turn.

My turn.

Midpoint.

Your turn.

Have you seen these words before? Do you know what they mean? So first of all, we've got the word estimate.

This means we are going to have a really good guess to find a value that is close enough to the right answer with some really careful thinking.

Then we've got compare.

This means that we're going to look at two numbers and see what is the same and what's different about them.

Then we've got number line, and this is a line with numbers placed in the correct position on the line in the right order.

Then we've got midpoint.

This is the middle of something, the point that is halfway along.

Let's start on the learning.

Here's the lesson outline for today's lesson.

We're going to estimate where six, seven, eight, and nine lie on an unmarked number line.

First of all, we're going to estimate numbers on a number line and then we will compare numbers on a number line.

So let's start with the learning.

Here are some children that are going to help us today.

We've got Alex and Aisha.

Alex and Aisha have made a number line.

You could have a go at doing this on a piece of paper.

Can you count up and down the number line? So here we've got a nice straight line with some marks on it and we're going to put the numbers from zero to 10.

So let's start with zero.

Can you count up with me? Zero, one, two, three, four, five, six, seven, eight, nine, 10.

So we've got all the numbers from zero to 10.

Our number line is from zero to 10.

You can have number lines with other numbers on, but this one is from zero to 10.

Alex has noticed that five is in the middle of our number line.

Can you see five in the middle of the number line there? I've put a ring around it.

Let's try to count backwards on the number line.

So let's start at 10.

10, nine, eight, seven, six, five, four, three, two, one, zero.

So we can use the number line to help us count forwards and backwards.

Aisha and Alex have taken the marks off the number line.

So we've still got the number zero and 10 marked on the number line, but the other numbers and the marks have been taken off.

Where does five go on this number line? See if you can estimate where five is going to go on the number line.

Perhaps you can point to where you think it will be.

That's where Alex and Aisha think it's going to go, right there in the middle between zero and 10.

How do you know? Aisha said, "Five is between zero and 10." Alex said, "Five is in the middle of zero and 10." He said, "Five is the midpoint of this number line." That means it's right in the middle.

Five is halfway along the number line.

There's five halfway between zero and 10.

Which numbers go between zero and five? So have a look at zero on the number line and have a look at five.

Which numbers are going to go between those two numbers? Aisha thinks one, two, three, and four are between zero and five.

Is that what you thought? There they are on the number line.

So we've got one, two, three, and four.

They go between zero and five.

Which numbers go between five and 10 on the number line? Have a look at five and 10.

What are the numbers that are going to go between them? Alex thinks it's going to be six, seven, eight, and nine.

They're going to go between five and 10.

There they are, six, seven, eight, and nine.

Is that what you thought? Estimate where these numbers go on the number line.

So I want you to have a really good think about where you think these numbers are going to go on the number line and see if you can find a place that's really close to where they're going to go.

Perhaps you can point on the number line where you think the numbers are going to go and think about how do you know? So, Aisha is looking at the number five.

She said, "Five is in the middle," so it's the midpoint.

So Aisha has put five right in the middle, halfway along the number line between zero and 10.

Aisha is looking at the number three.

She said, "Three is between zero and five, so it would be this side of five." Aisha said, "Three is nearer to five than to zero." So she's put three where she thinks it goes on the number line.

Do you think she's got it in the right place? Alex is looking at the number seven.

He said, "Seven is between five and 10, so it would be this side of five." He thinks seven is nearer to five than 10.

He's put seven on the number line.

Is that where you would put it? Estimate where these numbers go on the number line.

So now we've got the numbers six and eight.

Can you see we've got zero and 10 marked on the number line and we've also got the midpoint five on the number line.

Can you think about where the number six and eight are going to go on the number line and think about how do you know? Think about whether the numbers are between zero and five or between five and 10 and how close are they to those numbers? Aisha said, "They are both between five and 10." Aisha is looking at the number six.

She said, "Six is near to the midpoint five." Six is one more than five, so she's put six right next to five on the number line.

Alex is looking at the number eight.

He said, Eight is between five and 10." Eight is nearer to 10 than five.

So he's put eight there on the number line.

Do you think they've estimated where the numbers go? Let's check your understanding.

Is seven closer to five or 10? You can see on the number line that we've got the numbers zero and 10 marked and the midpoint five.

So where will seven go on the number line and is it closer to five or to 10? Pause the video while you have a think.

Aisha said, "Seven is closer to five than to 10." So that's where seven is going to go on the number line.

Is that what you thought? Let's check your understanding again.

Is eight closer to five or to 10? So think about where eight is going to go on the number line and is it closer to five or 10? Pause the video and have a think about this one.

Alex said, "Eight is closer to 10 than five." So that's where eight is going to go on the number line.

Is that what you thought? Aisha and Alex are trying to show nine on the number line.

I wonder where it's going to go.

Which arrow is the closest? So, Aisha said, "It is nearer to 10 than five." Alex said, "It needs to be close to 10 but not on it." Aisha said, "It is one less than 10." So, do you think it's going to go here? Or here? Or here? Or here? Or here? Which arrow do you think is the best estimate for the number nine on the number line? Alex said, "I think this arrow is the best." Is that what you thought? It's close to 10 but not on it.

It's next to 10.

It's the one before 10 because it's one less than 10.

There's the number nine on the number line.

Aisha and Alex are trying to show nine on the number line.

They're going to estimate where nine goes on the number line.

So here's Aisha's estimate and here's Alex's estimate.

Oh, there's a third arrow there.

Aisha said, "Jacob added one too.

It's different again." They've all put their arrows in a different place but they've all had a really good guess, haven't they? Alex said, "But who is correct?" Aisha said, "We have estimated.

We are all very close." Alex said, "I think we are all correct." There's nine on the number line.

They were all very close, weren't they? Each guess is a good estimate.

The arrows are about where nine is on the number line.

So they're very close, aren't they? They were all very close to the number nine.

Estimate what number the arrow is pointing to this time.

Have a look at the arrow there and think about what number that might be pointing to, and how do you know? Is it more than five or less than five? Is it closer to zero or 10? Is it closer to five or 10? Aisha said, "It is near the midpoint." Do you remember what the midpoint is? Yes, it's five, isn't it? Alex said, "It is nearer to five than 10." Aisha said, "It is one more than five." Have you worked out what the number is now? Alex said, "I think it is six." Yes, it was six.

Let's try another number.

Estimate what number the arrow is pointing to this time and think about how do you know? So is it closer to zero or 10 and is it closer to five or 10? Aisha said, "It is near the midpoint." Alex said, "It is nearer to five than 10." Aisha said, "It is a bit more than five." Alex said, "I think it is seven." What do you think it is? Yes, it was seven.

Well done if that's what you thought it would be.

Let's try a different number.

Estimate what this number is on the number line and how do you know? So is it closer to zero or 10 and is it closer to five or 10? Aisha said, "It is near 10." Alex said, "It is nearer to 10 than five." Aisha said, "It could be eight." Alex said, "I think it is nine.

It looks like it is one less than 10." What do you think it is? Yes, it was nine.

Alex was correct.

It's one less than 10.

Let's check your understanding.

Aisha and Alex are estimating what this number is on the number line.

Who is correct? Aisha said, "It is one more than five.

It is six." Alex said, "It is one less than five.

It is four." Who do you think is correct? Pause the video and have a think.

It was six.

So Aisha was correct.

It is one more than five, it is six.

If it was four it would be on the other side of five, wouldn't it? Let's check your understanding again.

Aisha and Alex have marked eight on the number line.

Who is the closest? So, Aisha has put eight on the number line.

She said, "I think it goes here.

It is closer to five than to 10." Alex said, "I think it goes here.

It is closer to 10 than five." Who do you think's the closest? Who do you think's correct? Pause the video and think about this one.

That's right, Alex was correct.

It does go closer to 10 than to five.

So that's where eight goes on the number line.

Here's a task for you to have a go at.

Can you place these numbers on the number line? So we've got the numbers six, seven, eight and nine, and we've got a number line from zero to 10 and we've got the midpoint marked on as well, five.

So put the numbers where you think they go on the number line and think about how do you know, and how could you check? You could think about these things.

Is the number before or after five? Is the number nearer to five or to 10? So pause the video and have a go at your task.

How did you get on with your task? Did you place these numbers on the number line? So we had a number line from zero to 10 with the midpoint five marked on.

And we were putting the numbers six, seven, eight, and nine on the number line.

And we asked you to think about how did you know where to put them? So, was the number before or after five and was the number nearer to five or 10? So here's the number six.

That comes after five, doesn't it? And it goes between five and 10, but it's closer to five than 10.

Here's the number seven.

That comes after five, doesn't it? It's closer to five than it is to 10.

Here's the number eight.

That comes after the number five as well, but it's closer to 10 than five.

Here's the number nine.

That comes after the number five as well.

It's closer to 10 than to five.

Aisha has noticed that they were all after five on the number line.

How did you get on with your one? Let's move on to the second part of the lesson.

We're going to compare numbers on a number line.

We can compare numbers on a number line by looking at how far away from other numbers they are.

We can use the equality and inequality symbols to compare numbers.

You might have seen these symbols before.

This symbol means is less than, this symbol means is greater than, and this symbol means is equal to.

We can use the symbols to compare numbers.

Aisha and Alex are comparing the numbers seven and nine.

I wonder where they're going to go on the number line.

We can find the numbers on the number line.

Can you point to where you think they might go on the number line? Here's seven on the number line and here's nine on the number line.

Is that where you thought they would go? So let's think about which number is less.

So this is going to be the number that's smaller.

It's going to be closer to zero than the other one.

So which number is less? And which number is greater? Which number is bigger? Which number is nearer to 10 on the number line? Aisha said seven is nearer to zero, so it is less than nine.

Alex said nine is further away from zero, so it is greater than seven.

So we can say seven is less than nine and we can say nine is greater than seven, and we can use the symbols.

Seven is less than nine and nine is greater than seven.

Aisha and Alex are comparing the numbers six and eight.

I wonder where they're going to go on the number line.

We can see the numbers on the number line.

Can you point to where they might go? So here's the number six on the number line and here's the number eight.

They're both between five and 10, aren't they? Which number is less? Which number is smaller? Which number is closer to zero on the number line? And which number is greater or which number is larger? Which number is nearer to 10 on the number line? Aisha said, "Six is nearer to zero so it is less than eight." Alex said, "Eight is further away from zero so it is greater than six." So we can say six is less than eight and eight is greater than six.

And we can use the symbols, six is less than eight and eight is greater than six.

Let's check your understanding, who is correct? Aisha thinks six is greater than nine.

Alex thinks six is less than nine.

I can see the two numbers have been marked on the number line.

They're both between five and 10, but which one is closer to zero? Which one is closer to 10? Pause the video and think about who you think is correct.

That's right, Alex was correct.

Six is less than nine because six is closer to zero on the number line.

Nine is closer to 10, so nine is greater than six.

Let's check your understanding again, who is correct this time? So Aisha said, "Seven is less than eight." And Alex said, "Seven is greater than eight." Have a look at the number line and see who is correct.

Pause the video while you have a think.

That's right.

Aisha was correct.

I can see that seven is less than eight.

From the number line seven is closer to zero than eight so seven is less than eight.

Eight is closer to 10, isn't it? So that's greater than seven.

Here's a task for you to have a go at.

Can you place the numbers on the number line, then use the number line to compare them.

Write the correct symbol between the numbers, so greater than, less than, or equal to.

So choose the correct symbol to compare six and 10, then seven and nine, then eight and eight, then nine and seven, and finally, 10 and six.

So pause the video while you have a go at your task.

How did you get on with your task? Did you use the equality and inequality symbols to compare the numbers and check on the number line? So I've marked the numbers six, seven, eight, and nine on the number line.

They are all between five and 10.

Then I put the correct symbol in between each set of numbers.

So we've got six is less than 10.

Seven is less than nine, eight is equal to eight, nine is greater than seven, and 10 is greater than six.

How did you get on? We've come to the end of our lesson.

Today, we were estimating where six, seven, eight, and nine lie on an unmarked number line.

This is what we found out.

We can estimate the position of given numbers using an empty number line.

We can mark the midpoint, five, before placing a given number.

We can compare numbers on a number line by looking at how far away from other numbers they are.

And we can especially use the numbers zero and 10, and the midpoint five to help us find these numbers on a number line.

Well done, everyone.

See you next time.