Lesson video

Hello, my name's Miss Robson.

In this lesson, we are going to look at how equations can link to problem solving.

We're going to start by solving a problem together before moving on to the talk task, we're then going to look at linking equations to problems, before finally it's time for you to do your independent task and complete the quiz.

For this lesson, you will need a pencil, a part whole model which you could draw on a piece of paper if you need to, and some objects for counting, preferably in two different colours.

So I'm going to have two different coloured cubes today.

Pause the video here to collect the resources that you will need and when you're ready press play.

We're going to start with a bit of a mental warmup like we have been doing in our previous lessons.

So here, we're going to be thinking about the number bonds to six.

I can see that each of these number bonds has the whole in it already, so all of them are number bonds to six, the whole is always six.

The first one is missing one of the numbers, six and something makes six.

Six and zero make six.

Pause the video here to see if you can complete the rest of the missing numbers.

When you're ready press play and we'll go through the answers together.

So, how did you get on with your number bonds? As we talked about the first one was zero and six make six.

The second one was one and five make six.

Next, four and two make six.

Three and three make six.

Two and four make six.

And last, we had five and one make six.

If you were stuck with any of those you could always get your manipulatives out next time and use them to help you figure out what the missing part is.

So, we have a word problem on the screen.

I'm going to read it to you and I'd like you to have your part whole model and your things ready so that you can represent the problem alongside me.

Jenay makes blue and red bracelets.

She has made three blue bracelets and two red bracelets.

Can you represent that using objects? It doesn't matter if your objects aren't the same colour as the colours used in the story.

For example, I'm going to use orange cubes to represent blue bracelets, you just need to be clear of what you're using to represent which part of the problem.

Have a go at representing that now.

You'll need three things to represent blue bracelets and two things to represent your red bracelets.

I have three orange cubes to represent my blue bracelets and I have two purple cubes to represent my red bracelets.

What I'm going to do next is move all of my items into the whole.

So first, I'll move the three cubes over, then the other parts, and now I can either count them all together, like we did a few lessons ago or I can count on.

I'll start by counting all.

One, two, three, four, five, all together there are five bracelets, or I might put the big number, three in my head.

So, three blue bracelets in my head and two red on my finger, three, four, five.

All together there are five bracelets.

Here, we're going to try and write an equation.

Three was a part, two was a part, the whole is five.

Three plus two is equal to five.

Here's the word problem and the equation that we have just done together.

Jenay makes blue and red bracelets.

She has made three blue bracelets and two red bracelets.

Have a look again at the equation.

What does each of these numbers represent in the story? Pause the video now to try and explain that to either a talk partner, parent or carer, or just to try and explain it to yourself.

When you're ready, press play.

So- the three here, this part, represents the three blue bracelets that Jenay made.

The two here, represents the two red bracelets that Jenay made, and all together at the end, five is how many bracelets she made all together.

That's what each of these numbers represents in this story.

We now have two quick talk tasks to complete.

The first one we're going to do together, and the second one I'd like you to do by yourself.

This one here is about a fish tank that you can see in front of you.

There are lots of different stories I could tell about this fish tank.

I could talk about the way that the fish are looking.

I could talk about how big and small they are, where they're positioned or their size.

But today I think I'm going to start by talking about what colours they are.

So, there are five orange fish.

There are four blue fish.

Here are my five orange cubes to represent my five orange fish.

And here are four purple cubes to represent the four blue fish.

My parts are five and four.

Can you repeat that sentence? My parts are five and four.

Fantastic.

I'm going to move them to the whole and I'm going to count on, so five in my head and four on my fingers.

My parts were five and four.

So I'm going to add those together.

Five, six, seven, eight, nine.

The whole is nine.

Fantastic.

So five plus four is equal to nine.

The whole is nine.

Now, I'm going to change the picture and you're going to have a go at talking about the sheep.

Now, I'd like you to talk about what sheep are inside the pen and which sheep are outside of the pen.

But you could come up with some more stories as well If you wanted to.

Pause the video here to complete your talk task, trying to fill in the sentences at the bottom.

The sentences at the bottom say my parts are mm and mm, the whole is mm, mm, plus mm is equal to mm, you've got to be able to try and fill in those sentences.

So, pause the video here to complete your talk task, and when you're finished, press play.

You're trying to tell at least one math story about the sheep in this picture.

Math story that I came up with about the sheep in this picture, is about the ones that are inside the field and the ones that are outside of the field.

That might be the same as the math story that you came up with, or it might be different.

But listen to me explain it and see if you can join in with your manipulatives in front of you.

So there are five sheep in the field.

I've represented the five sheep with five orange cubes.

There are two sheep outside of the field.

I've represented the two sheep with two purple cubes.

My parts are five and two.

I'm going to move them to the whole, and I'm going to put five in my head because that's my biggest number two on my fingers.

Five, six, seven, five sheep in the field, two sheep outside, five, six, seven, five plus two is equal to seven.

The whole is seven.

I can also represent this as an equation.

So, seven is the whole, five and two are my parts.

Seven is equal to five plus two.

Seven is equal to five plus two.

What does each number in the equation represent in my story? Pause the video here to try and explain.

Seven is the whole.

That's how many sheep there are all together.

Five is the number of sheep in the field, and two is the amount of sheep that have escaped from the field that are outside of the field.

So five is equal, sorry, seven is equal to five plus two.

We've started with the whole this time and said that this whole, seven is equal to five inside of the field, and two outside of the field.

We're going to have a look at one last picture that helps us tell some math stories, but we need to be very quiet because in this picture, I can see that one of the owls is sleeping.

Have a look.

Here he is.

So we have one sleeping animal, and one, two, three, four, five, six, seven, seven owl who are awake.

Seven is a part.

One is a part.

Seven in my head, and one on my finger.

Seven, eight.

One more than seven is eight.

All together there are eight owls.

So, there are eight owls.

Eight is equal to seven owls that are awake, and one owl that is asleep.

Can you describe to me what does each number in the equation represent in the story? Eight is the- total amounts of owls.

Seven is the- Seven is the owls that are awake, and one is the- is the owl that is asleep.

Fantastic.

So, for your independent task, you're going to be writing some more equations and telling some more math stories about the owls in the picture.

It could be about owls that have white tummies and owls that do not.

It could be about the owl that is asleep, and the owls that are awake.

It could be about the owls that are flying in the sky, and the owls that are sitting on trees.

It could be about the owls that are tiny and the owls that are big.

You can start by writing the wholes.

So how many hours all together, and then writing your two parts.

So, it might be owls that are flying, owls that are standing on a tree.

Pause the video here to complete your task.

When you're finished, press play.

Let me show you two examples of some more math stories that I came up with.

They might be the same as some answers that you came up with, or they might be different.

First, I looked at all of the owls, so I know that there are eight hours all together.

And I thought about the owls that are flying and the owls that are not.

So there are five owls resting in the trees.

So eight is equal to five plus three, three owls that are flying around.

Three owls flying around, five owls sitting on the tree.

Five and three is equal to eight.

For my next math story, I looked at owls that had white bellies and owls that didn't.

This owl here has a very white belly, and so does this one here.

So that's two owls with white bellies, and one, two, three, four, five, six, that don't have white bellies or at least not very white bellies.

So two was a part, two owls with white bellies and six is a part, six owls with not so white bellies.

Two plus six is equal to eight.

Eight is equal to two plus six.

Did you come up with any other really interesting math stories from this picture? If you did, you could share your work with us.

If you'd like to, please ask your parent or carer to share your work on Instagram, Facebook, or Twitter by tagging @OakNational and using the hashtag #LearnwithOak.

We'd love to see your math stories.

Thank you for joining me today, I hope that you've had lots of fun.

I've really enjoyed telling math stories with you.

Don't forget to go and complete the quiz.

See you next time.