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Comparing Numbers up to 10 Using Words
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In this video, we’re going to learn how to compare numbers up to 10 by thinking about the counting sequence or modelling with counters.
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And the way that we’re going to describe our comparisons and record our results is using words.
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Two of these bears here are holding number cards.
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We can see the number five and six.
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Let’s compare these two numbers together.
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One way we can compare numbers like this is by using maths equipment to help, maybe cubes or counters.
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Let’s use counters.
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First, we’ll make the number five.
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One, two, three, four, five.
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Now, we can model the number six in the same way.
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If we line each counter up, it’ll help us to compare them.
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One, two, three, four, five, six counters.
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What can we see about our lines of counters?
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Our line of five counters is shorter than the line of six counters.
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This means there must be less counters in this line.
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And so we can compare our two numbers using words.
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We can use the phrase, is less than.
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Five is less than six.
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Let’s make a note of that phrase.
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We’re going to be using it in the video.
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Now, what if our second number changes?
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Let’s compare the numbers five and two this time.
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As well as modelling numbers using counters, we could also use a number track to help.
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The useful thing about number tracks is that they show numbers in order from smallest to largest.
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So we can use them to compare numbers.
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Let’s count along our number track and see where we say our numbers five and two.
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One, two, three, four, five.
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Did you notice as we counted, we said the number two before we got to the number five.
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We said the number five after we said the number two.
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This means that five is a larger number than two.
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So how could we compare these numbers using words?
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You know, the word greater is another way of saying larger or bigger.
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So we can say five is greater than two.
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But what if both our bears’ number cards say the number five on them?
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We can’t use any of the words we’ve talked about already.
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We can’t say five is less than five or even five is greater than five.
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If we look at our number track, we can see we’re talking about the same number.
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So we could say five is the same as five.
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Another way of saying numbers are the same is by using the word equal.
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We can say five is equal to five.
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They’re exactly the same.
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Now, we’ve gone through three different ways to describe comparisons using words.
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Let’s put them into practice and have a go at some questions.
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Look at the numbers: four, three.
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Pick the missing words.
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Three is what four and four is what three.
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And we’re given two sets of words to choose from, greater than and less than.
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In this question, we’re told to look at two numbers.
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There’s the number four, and underneath it is the number three.
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Look at how these numbers are represented in two different ways.
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Firstly, each number is written as a digit and then a line of blocks.
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Each line of blocks matches the digit.
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For example, four blocks represent the number four and three blocks represent the number three.
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You could tell this by counting the blocks.
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One, two, three, four in the first row.
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One, two, three in the second row.
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My question gives us two sentences and asks us to pick the missing words to fill in the gaps.
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Let’s look at our first phrase.
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Three is what four.
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Should we say three is greater than four or three is less than four?
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Let’s use the blocks we can see to help us.
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That’s why they’re there.
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What can we say about each line of blocks?
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We can see that the line of four blocks is longer than the line of three blocks.
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Or if we look at it the other way, the line of three blocks is shorter than the line of four blocks.
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It contains less blocks.
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So we can use this to help us to compare the numbers three and four.
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We can say that the number three is a smaller number than four.
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And so we can use the phrase, less than.
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Three is less than four.
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We can also use our blocks to help us fill in the second phrase.
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Four is what three.
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As we’ve said already, the line of four blocks is longer than the line of three blocks.
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There are more blocks.
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We know that four must be more than three.
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And so we can use the phrase greater than to compare the two numbers together.
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We can say four is greater than three.
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The numbers four and three were modelled for us using blocks.
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And we use this to help us to compare them.
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We can say three is less than four and four is greater than three.
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Think about the numbers seven and nine.
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Sophia showed the number seven in a ten frame.
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How can she show the number nine?
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Which number is less?
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This question gets us to compare two numbers, seven and nine.
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And we’re told that Sophia showed the number seven in a ten frame.
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And we’re shown a picture of this, so we know how she does it.
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She’s taken seven counters and she’s put them one in each square.
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There are one two, three, four, five, six, seven altogether.
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She makes one full row of counters and there are two extra counters underneath.
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Now, we’re asked two questions.
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And the first question asks us, how can she show the number nine?
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Well, instead of putting seven counters on a ten frame, Sophia is going to need to put nine counters on a ten frame, one in each square.
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One, two, three, four, five, six, seven, eight, nine.
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This is how Sophia can show the number nine.
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In our second question, we need to compare these two numbers together because we’re asked which number is less.
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And when we use the word less, we’re talking about something being smaller than something else.
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So which number is the smaller of the two, seven or nine?
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Let’s compare our ten frames.
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The top row on both ten frames is full.
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And as we’ve said already, there are two extra counters on the row underneath for the number seven.
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But when we look at the number nine, we can see that there are more than two counters on the second row.
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In fact, the second row is nearly full.
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The number nine very nearly fills the ten frame.
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And so we can say that the number seven is less than or is smaller than the number nine.
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Sophia can show the number nine by putting nine counters on a ten frame.
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And we can then compare our ten frames to show that the number that is less is the number seven.
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What number is greater than six and less than eight?
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There’s a mystery number being described in this question and we’re given two clues about it.
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We need to find a number that’s greater than six and also less than eight.
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Let’s look at each clue one by one and then put them together.
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Firstly, we know that the word greater means more or larger.
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So we’re looking for a number that is larger or more than six.
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Let’s use a number track to help us.
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Now, if we’re looking for numbers that are greater than six, we need to start by finding the number six.
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Where is it on our number track?
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Well, we know it comes after the number five: one, two, three, four, five, six.
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Now, where are the numbers that are greater than six?
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What about the numbers that we say before we get to the number six?
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One, two, three, four, and five.
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Are these numbers greater than six?
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No, we know that numbers get bigger as we count along a number track.
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And so if we’re looking for numbers that are bigger or greater than six, we need to look at the numbers that come after the number six.
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Seven is greater than six.
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So is the number eight, nine, and 10.
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What about the number six itself?
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Should we include this?
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Well, no.
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The number six is the same as the number six, isn’t it?
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When two numbers are the same, we can say that they’re equal to each other.
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The number six is equal to the number six.
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It’s not greater than six.
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So we can say that the number we’re looking for could be seven, eight, nine, or 10.
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But remember, we’ve got another clue to think about.
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Our number is greater than six and less than eight.
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Let’s sketch another number track to help us find numbers less than eight.
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First of all, let’s find the number eight on our number track.
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We know it comes after the number seven.
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One, two, three, four, five, six, seven, eight.
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And we’re looking for numbers that are less than eight.
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Another way of thinking about the word less than is smaller than, numbers that are smaller than eight.
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And again, we’re not going to include the number eight itself here because eight is equal to eight.
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Now, where are the numbers that are going to be smaller than eight on our number track?
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These are going to be the numbers that come before we say the number eight, numbers like one.
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One is less than eight and also two, three, four, five, six, and seven.
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All these numbers are less than eight.
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Now, we can look closely at our number tracks to find the answer.
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What number is greater than six and less than eight?
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We can see that there’s only one number that we’ve circled on both number tracks.
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It’s the number seven.
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We can say seven is greater than six.
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And we can also say that seven is less than eight.
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We used number tracks and thinking about the counting sequence to help us find the answer.
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The number that is greater than six and less than eight is seven.
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So what have we learned in this video?
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Well, firstly, we’ve learned how to compare numbers up to 10.
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And we used things like number tracks and counters to do that.
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And we’ve then described our results for things that we’ve found out using words.
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We used words like is less than, is equal to, and is greater than.