Lesson video

Hello mathematicians, is me Ms. Charlton and my talk partner Hedwig.

Have you get your talk partner ready as well for the lesson? Let's find out what we're going to be doing today.

Today's lesson, we are going to understand that this symbol, the equals symbol represents equivalence.

Can everyone do that on their hands, you can make a little one or you can make a big one like that.

That is the equals or the equivalence symbol.

First of all, we're going to use the equal symbol.

And then at the end of the lesson, you're going to know that that means equivalence, equivalence equal the same, balanced.

Then you'll do your independent task and end of lesson quiz.

In today's lesson you're going to need a pencil, some paper and a part, whole model.

You can use the ones provided or you can draw one out yourself.

So let's get our brains warmed up, shall we? We've got a whole part model here and I know that the whole is 19.

If you know that the whole is 19 what could the parts be? How many different ways can you think of to make 19? What plus what is equal to 19? Pause the video now see if you can find different ways to equal 19 and then come back and we'll check them together.

Did you get these ones? I found that 10 plus nine is equal to 19, one 10 and nine ones.

I also found that zero plus 19 is equal to 19.

Now that's a tricky one that always catches me out, I always forget about the zero.

If you've got 19 one part, you know that you don't need any more and the other parts that one must be zero.

15 plus four is equal to 19.

And one plus 18 is equal to 19.

There were lots and lots of different ways that you could have represented that.

Hopefully we are all warmed up now.

We are going to have a go at this with the number four.

The whole is four, what are the parts? Well, this one the whole is four and I could say that the parts are two and two, two plus two is equal to four.

The whole is four, the parts are three and one, three plus one is equal to four.

And the last one, the whole is four, the parts are four and it's that tricky one again, four and zero, four plus zero is equal to four.

Now what's interesting about these, can you see that the whole is the same in all of those number bonds, the same, they are equal, they are showing equivalence.

They're all the same total, the same whole, but they've got different parts.

There are different ways of showing the whole.

Just like here, let's represent it with cubes.

Two plus two, there are my two blue cubes and my two yellow cubes is equal to four and underneath three plus one, three blue cubes and one yellow cube is also equal to four.

There we go.

There are different equations that are equal.

So on one side of the equation, two plus two it is equal to the other side of the equation three plus one.

Let's say that just like mathematicians, two plus two is equal to three plus one, your turn.

Great job, everybody.

And when you say is equal to, you could do your equal sign as well.

Two plus two is equal to three plus one.

What about this equation? This one says one plus three is equal to four plus zero.

Well, I know that one plus three is equal to four.

Look just like the cubes, one yellow cube, and three blue cubes is equal to four.

And that is equal to four plus zero, all yellow cubes.

One plus three is equal to four plus zero.

Your turn.

Well done.

Here it is on some number bonds.

Can you have a look at this and see if I've done the correct thing? Or if I have made a mistake and you disagree with it, show me agree or disagree if you think these number bonds show equivalence.

Have a little think.

Do you agree that they do show that they are equal? Or do you disagree and show that they are not equivalent? Everyone show me.

You are correct, they are not equivalent because the whole on this number bond is four and the other number bond is five.

The first one says one plus three is equal to four.

And the second number bond says two plus three is equal to five.

They are not the same.

One plus three is not equal to two plus three.

There are more cubes in two plus three it equals a bigger number, so they're not equivalent.

This one's a little bit trickier.

Why is this equation trickier? What do you think? Can you tell your talk partner or tell me on the screen? Why is this equation trickier? I'm going to tell Hedwig.

Wakey wakey Hedwig, I need to talk to you.

I told Hedwig that this one's trickier because I've got a missing number.

So I need to figure out what that missing number is to find the equivalent equation.

So what I'm going to do is use the information that I already know.

I know that three plus one is equal to four, three, and one more is four.

That means the other side of the equation has to be equivalent has to be equal.

So two plus m plus something must also be equal to four.

What do I need to add to two to equal four? Let's put two in our head and count up.

Two, three, four.

What do I add? I add the number two.

Three plus one is equal to two plus two, your turn.

Well done, did you use the equal symbol symbol as well? Let's have a look at some cubes with that.

Three plus m is equal to two plus four.

This one's trickier because the equation is the other way around.

So I've swapped it over.

I know that two plus four is equal to, let's put four in our heads and count on two.

Four, five, six.

Two plus four is equal to six, which means that the other side of the equation must also equal six.

There's my equation.

Three plus something is equal to two plus four.

Let's see how many we need to add on.

Are you ready? Can you shout stop at the screen when I get to six? Three, four, five, six.

Stop! Did you shout stop? Did everyone stop me? Well done.

So how many did I add on to equal six? How many yellow cubes are there? Shimmy on your fingers.

Yes, there are three yellow cubes.

So three plus three is equal to two plus four.

Let's try this one.

Four plus three is equal to something plus seven.

Let's use the information that we already know, the cubes are there to help us.

Four cubes plus three cubes is equal to let's count them together.

One, two, three, four, five, six, seven.

Four plus three is equal to seven, which means what must the other side of the equation be equal to? Can you shout out at me? Good, it must also equal seven.

Four plus three is equal to seven.

Something plus seven is equal to seven.

So now I need to think, what do I add to seven to equal seven? It's that tricky one again, isn't it? Can you show me on your fingers? What do I add to seven two equals seven? Zero.

Four plus three is equal to zero plus seven, your turn.

Well done, everyone, you're doing a fantastic job.

I think we deserve a celebration.

Shall we do an incredible hulk clap? You ready to get your hands ready? Hulk! Good job.

Now it is time for your independent task, you're going to do exactly the same thing by missing in.

Filling in the missing boxes not missing in, filling in the missing boxes.

So the first equation says three plus two is equal to one plus something.

So you need to figure out the first equation three, four, five.

Three plus two is equal to five.

So the other side of the equation must also be equal to five.

Filling the missing boxes, use the equal symbol and make sure you read it out to yourself.

And then come back once you've finished and we'll put the answers together.

Let's see how you got on.

So the first equation three plus two is equal to five, one plus four is equal to five, they are equal.

Three plus two is equal to one plus four, your turn.

Really well done.

One plus five is equal to six, two plus four is equal to six.

One plus five is equal to two plus four.

Two plus two is equal to four, zero plus four is equal to four, two plus two is equal to zero plus four.

Six plus three is equal to nine.

Four plus five is equal to nine.

Six plus three is equal to four plus five.

And then the last one, one plus two is equal to three.

Two plus one is equal to three.

One plus two is equal to two plus one.

That was a bit of a tricky one because it's using the same numbers, just swapping over in the different parts.

You have done an absolutely fantastic job today, everybody.

I really enjoyed finding equivalence with you.

Should we wake up Hedwig and tell her what we did? Wakey wakey Hedwig.

Wakey wakey.

We had a lovely lesson that you missed.

Right, what did we do first? Well we know that we needed to understand the equal symbol.

Those two little lines.

So we did those a lot during the lesson with our fingers.

I think you'd struggle to do it with your wings.

Maybe she could do it with her toes.

What do you think? You think? It kind of looks a little bit like an equal symbol.

Well done Hedwig.

You can make an equivalence symbol with your foot.

So we practised using the equivalent symbol.

And the we learned that it means equivalence, it means equal, it means the same as.

And then we did some really tricky activities where we filled in the missing boxes in equations to find out the equivalence.

Do you think you understand that Hedwig? She did understand.

Really well done everybody.

I had lovely time teaching you today.

Now go and complete the quiz and I'll see you again very soon.

Bye bye.