Lesson video

Hi, my name is Miss.

Robson.

In this lesson, we are going to be combining sets by counting all.

We are going to start by combining objects in a set.

Then looking at how to write addition equations before it's time for you to do your independent task.

And then finally, complete the quiz.

for this lesson, you will need a pencil, some paper and some objects for counting.

These can be whatever you have lying around.

I'm going to be using cubes.

Pause the video here to collect the resources that you need.

And when you're ready, press play.

We're going to start off by warming our brains up up by doing some number bonds.

On the screen, I can see some part-whole models.

They have big circles with the whole of five in them and they have the two parts.

If we look at the first number bond, it has five in the whole.

All of these are are using the whole of five.

And one of the parts is five.

If one of the parts is five, the missing number would have to be zero because five and zero make five.

Pause the video here to try and complete the number bonds.

When you're ready, press play.

How did you go with your number bonds? Let's have a look and see what the answers are.

First, we had a five and zero make five.

Then we had four and one make five, three and two make five, zero and five make five, one and four make five.

And lastly, two and three make five.

Here's our big picture for this lesson.

This is a picture of Snow White and the Seven Dwarves.

In this picture, there are so many different things that we can tell math stories about.

Do you remember how tell math stories? I'll show you an example.

Two of the beds have stripes on them and two of the beds have spots.

all together, there are four beds.

Pause the video and see if you can come up with a math story about something else that you can see in this room.

One more of the things that I could see a math story about was the different kinds of chairs.

There's one chair with a back, and there are four chairs that are actually just stools.

So altogether, there are five seats, but for are stools and one is a chair.

What was the maths story that you came up with? Let me tell you a maths story about the dwarves.

Now, there are lots of things that are the same and different about the dwarves.

But one of the things that I found the most interesting when I was looking at them was that five of the dwarves are wearing hats and two of the dwarves are not wearing hats.

Altogether, there are seven dwarves, but five with hats and two without.

Let's how we can put that into a part-whole model.

The whole is seven, altogether there are seven dwarves.

But five wearing hats and two not wearing hats.

Seven is the whole, five is a part, two is a part.

Can you repeat that with me? Seven is the whole, five is a part, two is a part.

We can also write this as an equation.

We have our two parts and we add them together to equal our whole.

So, we call this an equation.

Five is a part, two is a part.

Five plus two is equal to seven.

There are five dwarves with hats on.

There are two dwarves with no hats on, all together there are seven dwarves.

Five plus two is equal to seven.

We can also use manipulatives in our part-whole model, to represent this equation.

Here's my part-whole model again, but this time I'm going to put cubes in, one, two, three, four, five.

Five cubes to represent the five dwarves that have hats on.

And one two, two yellow cubes to represent the dwarves that did not have hats on.

Now, let's move them all to the whole, which is the blue square you can see on the screen and we will count them all to find out how many there are altogether.

First, I'll move my yellow cubes.

Then I'll move my green cubes.

And now I'm going to use my pointer to count them all together.

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

Altogether, there are seven dwarves.

When we count all, we need to have are two parts, move them together to the whole and then count everything inside the hole to find out how many altogether.

We're going to be practising that skill a lot today.

So finding two parts or telling a maths story about something in the picture, moving all of those things together and counting them as one whole.

Here is the equation again.

I had five dwarves with hats on, two dwarves with no hats on, five plus two is equal to seven.

Five plus two is equal to seven.

Can you read the equation with me? Five plus two is equal to seven.

Your talk task today is going to be to look at some combined sets.

So first we're going to look at the carrots and the apple.

We're going to count how many is in each group.

So how many carrots and how many apples and then we're going to move them all together to the whole to find out how many objects there are all together.

So let's by putting some cubes in to represent our carrots.

One, two, three, four, five, there are five green cubes to represent the five carrots.

Then one yellow cube to represent the one apple.

Now let's move all of those to the whole and count them all together to find out how many all together.

So now that they're all in the whole together, one, two, three, four, five, six.

Altogether, there are six things.

We're then going to try and write an equation using your pencil and paper to express what you've just done.

So, the first part was the carrots.

There were five carrots, so five is a part.

One apple, one is a part.

The whole was six, five plus one is equal to six.

You've got three more to do.

You've got pens and pencils, eggs in two different cartons.

So we look at how many are in the first carton and how many are in the second carton, and then apples and bananas.

Pause the video now to complete your talk task, having a go at moving your objects, your counting objects to help you combine your two sets and writing addition equations to express that.

When you're finished, press play.

Let's have a look at the answers altogether.

The first one we did together, five was a part, that was how many carrots they were.

Plus one, that's how many apples they were.

Altogether, there were six veggies and fruits in that box.

The next question, there are pens and pencils.

First, three pens, so three is a part, then two pencils, two is a part, three plus two is equal to five.

Altogether, there are five writing implements in the box.

Then we look at the fruits down the bottom.

We had three bananas and three apples, three plus three was equal to six.

We counted all of the objects all together, to find that altogether, there were six fruits in the box.

Now, let's have a bit of a closer look at the eggs.

In the top carton of eggs.

I can see one, two, three, four, five, six.

There are six eggs in one part.

And then one, two, three, the other part is three.

Altogether, there are one, two, three, four, five, six, seven, eight, nine.

All together, there are nine eggs.

So this boy here is asking, what is the value of the parts and what is the value of the whole? The parts are six and three and the whole is nine.

So we added the first box first.

That's where I started counting.

So the first part is six.

Six plus three, and all together there were nine eggs.

Six plus three is equal to nine.

When we've combined the two sets, the two cartons of eggs, all together, there were nine eggs.

Did anyone else find a different way of recording this equation whilst they were exploring in their talk task? Six plus three is equal to nine.

Equally, you could have found the whole first.

So here is my whole, nine.

You could have started with the whole.

Nine is equal to six plus three.

So we had six eggs in the top carton and three in the bottom.

Nine is equal to six plus three.

This equation is correct too.

But what they've done is they've switched around the way that they've written it.

So instead of starting with the parts and then adding them together to make the whole, they've started with the whole and shown you how the whole is equal to part plus part.

Now it's time for you to complete your independent task.

Use your countable objects to represent the items and count how many there are all together.

Represent this on your part-whole model and then check for whole.

Complete the missing information in the part-whole models and the equations.

If I look at the first part of the independent task, I can see apples and I can see that that first one is filled in for me already.

So I can see a group of four apples on the left-hand side and a group of three apples on the right-hand side.

Altogether, there are seven apples.

Seven is the whole, four is a part, three is a part.

Four plus three is equal to seven.

They filled in the part model and the equation by looking at the different groups of apples that they could see.

Pause the video now to complete the independent task.

When you're finished, press play.

So, let's go through the questions together.

We'll start with the question about pens.

Here is one pen, so one is a part and here are six pens, six is a part.

One is a part, six is a part.

So I'm missing what the whole is.

Let me count all together.

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

Altogether, there are seven pens, so that is my whole.

Seven is the whole, one is a part, six is a part.

Can you repeat that sentence? Seven is the whole, one is a part, six is a part.

Excellent, so as an equation, we would write one plus seven, one plus six is equal to seven.

Altogether, there are seven pens.

We've added one and six together to make seven.

For the next question, there are two eggs in the top carton and five eggs in the bottom, five, six, seven.

Altogether, there are seven eggs.

So, seven is the whole, two is a part, five is a part.

Two plus five is equal to seven.

Here's my question about bananas.

Four is a part, four is a part.

So that's fill in my two fours on the part-whole model.

And altogether, there are one, two, three, four, five, six, seven, eight, eight bananas.

So the whole is eight.

So, eight is equal to four plus four.

This is the same as the one that we looked at before, where they've swapped the parts of the equation around.

The whole is eight and eight is equal to four plus four, four plus four.

So altogether there are eight bananas.

There's a group of four and a group of four.

Next, we have the pencils, three pencils in this group, five pencils in this group, eight pencils all together.

Eight is the whole, five as a part, three is a part.

So three plus, oh look, this one our symbol's missing.

Three plus five is equal to eight.

So let's pop the symbols and the whole in.

So on this side here, I have six carrots.

And over here, how many carrots are there? Two carrots, eight is the whole, six is a part and two is a part.

So eight, the whole, that's how many carrots there are all together, is equal to six plus two.

Thank you for joining me today.

I hope that you've had lots of fun, and I certainly have telling lots of math stories and combining sets.

I'd love to see what you've been doing.

Why not share your work with us? If you'd like to, ask your parent or carer to share your work on Instagram, Facebook or Twitter by tagging @OakNational and using the hashtag Learn With Oak.

We'd love to see what you've been getting up to.

Don't forget to go and complete the quiz.

Thanks again for joining me, see you next time.