Lesson video

Hello, I'm Miss Miah, and I'm so excited to be a part of your learning journey today.

I hope you enjoy this lesson as much as I do.

In this lesson, you are going to be able to represent equal groups as repeated addition.

This is going to be a super fun lesson, so make sure you've got your paper and pencil at hand and your mathematical brain switched on.

Let's go.

Your keyword is on the screen now, and I'd like you to repeat it after me.

Repeated addition.

Fabulous.

Let's move on.

Now, this lesson is all about representing equal groups as repeated addition, and there are two lesson cycles here.

So, our first lesson cycle is all to do with repeated addition, and then our second lesson cycle goes on to repeated addition expressions.

Don't worry if you don't know what any of this means because we are going to find out how this ties into grouping and then multiplication.

Let's get started.

So, in this lesson, you will meet Alex and Jacob.

Now, Mrs. Hopper organises a trip to the local park.

The dinner staff pack sandwiches into lunch bags of two.

Alex says, "I can skip count to find how many sandwiches there are altogether." "Mm.

Alex, let's try a different way." "Oh, there are three equal groups of two.

Each group is two sandwiches, and there are three groups, so we can show it as a bar model like this." Ah, yes, remember now, we can show equal groups using a bar model.

"Now the total number of sandwiches can be represented by something known as a repeated addition." Oh, I wonder what that looks like.

So here we've got something called a repeated addition expression.

So we've got 2 plus 2 plus 2.

So repeated addition is to add equal groups of the same number over and over.

So the same number here is two.

And because we've got three groups of two, we have actually added 2 three times.

So, for example, two add two add two.

"So we say this as 2 plus 2 plus 2, and it is a different way of writing three groups of two." "The total number of sandwiches can be represented by a repeated addition expression as well." You might remember representing equal groups using cubes, a bar model, and now knowing this, we can also represent equal groups using repeated addition.

So, this is a repeated addition expression.

Now, as the day progresses, Mrs. Hopper and Ms Coe are now on their way to the park.

And we can see two buses there, and there are 10 children in each bus.

They take 2 buses with 10 pupils in each bus.

So you can use repeated addition here as well to represent the groups.

So there are 2 groups of 10.

There are 10 and 10.

So you can write this as 10 plus 10.

So, 10 plus 10 is our repeated addition expression.

Now Jacob makes a prediction.

"Hmm, so if there were three buses, that would be 10 plus 10 plus 10." What do you think? Is he correct? Well, you can use repeated addition to represent groups.

You can use your knowledge of groups to help you.

So there are 3 groups of 10, and you can see that there because there are 3 buses with 10 pupils in each bus.

There are 10 and 10 and 10.

You can write this as 10 plus 10 plus 10.

And there is our repeated addition expression.

"So, each 10 represents the number of children on each bus and there are 10 children on each bus.

There are three 10s because there are three groups of 10." So Jacob was right.

Over to you.

What I'd like to do is fill in the blanks.

We've got some leaves there.

Is the repeated addition correct? You can pause the video here.

Have a look.

So what did you get? Well, it's actually incorrect because there are four groups of three.

That is 3 plus 3 plus 3 plus 3.

That is the correct repeated addition.

Now the children get to the park, and at the park, Alex collects some sticks and organises them.

"There are five groups of four," Jacob says, "and there are four and four and four and four and four.

You can write this as 4 plus 4 plus 4 plus 4 plus 4." Over to you.

I'd like you to write the repeated addition for both Alex and Jacob's collections.

You can see that Alex has collected some stones and Jacob's collected some conkers.

You could pause the video here and click play when you're ready to rejoin us.

So what did you get? Well, for Alex's stones, you should have got 3 plus 3 plus 3 plus 3 plus 3 plus 3, so six groups of three.

And for Jacob's collection of conkers, you should have got 4 plus 4 plus 4 plus 4.

Well done if you manage to get those repeated addition expressions correct.

Okay, so Alex and Jacob make observations based on the rabbits that they see.

Who do you agree with? I'd like you to explain your thinking to your partner.

Alex says he can see that the groups of rabbits are 5 plus 5 plus 5.

Jacob says that he can see 3 plus 3 plus 3 plus 3 plus 3 groups of rabbits.

Now, you may have said that there are five groups of three rabbits, so that is actually 3 plus 3 plus 3 plus 3 plus 3.

And Jacob is correct because five groups of three is represented by adding 3 five times.

Now, over to you, which repeated addition matches the image? There are five groups of three stones.

Is it A, 3 plus 3 plus 3 plus 3 plus 3, B, 4 plus 4 plus 4 plus 4 plus 4, or C, 3 plus 3 plus 3 plus 3? You can pause the video here and click play when you're ready to rejoin us.

So what did you get? Well, it's A, and that's because there are five equal groups with three stones each.

That is 3 plus 3 plus 3 plus 3 plus 3.

Onto your main task for this lesson cycle.

So, question one, you're going to be using items in the classroom such as pencils, erasers, and sharpeners.

Group the items based on the repeated additions below.

So for 1A, you've got 2 plus 2 plus 2.

For 1B, it's 3 plus 3 plus 3 plus 3, and for 1C, 4 plus 4 plus 4.

And for question two, you're going to match the picture with the repeated addition.

So you've got 8 plus 8, then you're adding 6 four times, then you are adding four quite a few times there.

Next, you're adding 2 plus 2 plus 2 plus 2.

And lastly, you're adding groups of three.

So have a look at the pictures very carefully and I'd like you to match them.

And for question three, you're going to complete the grid to represent the image as a repeated addition.

So you've got groups of sandwiches and groups of stones they're all in equal groups and I'd like you to write the repeated addition for those groupings.

You could pause the video here and click play when you're ready to rejoin us.

So, how did you do? For question one, you may have got something like this.

So 2 plus 2 plus 2, you should have had three groups of two items for your drawings.

For 3 plus 3 plus 3 plus 3, you should have had four groups of three items. And lastly, for 4 plus 4 plus 4, you should have had three groups of four items. For question two, this is what you should have got, For 8 plus 8, you should have had 2 groups of 8 leaves.

For 6 plus 6 plus 6 plus 6, you should have had four groups of six sandwiches.

For the next one, you should have had five groups of four stones.

For 2 plus 2 plus 2 plus 2, that's four groups of two, so you should have matched that to four groups of two sticks.

And lastly, you should have had five groups of three conkers.

Well done if you've matched the picture to the correct repeated addition equation.

For question three, this is what you should have got.

For the first grouping, you should have got 3 plus 3.

Next, you should have got 3 plus 3 plus 3 because that's three groups of three sandwiches.

For the next question, you should have got three groups of six sandwiches, so that's 6 plus 6 plus 6.

For the next group, you should have got four groups of four, so that's 4 plus 4 plus 4 plus 4.

And lastly, you should have got five groups of four, so that would've been 4 plus 4 plus 4 plus 4 plus 4.

Well done if you manage to get all of that correct.

Now, let's move on to our second lesson cycle.

And this is all to do with the repeated addition expressions.

Jacob, Alex, and Sam make some representations in their maths lesson.

So we've got three representations here.

We've got groupings of sticks, we've got a repeated addition expression there, and we've got the bar model.

What's the same and what's different between the representations? Well, you may have said each representation shows three groups of three.

So, for example, there are three groups of three sticks, which is the same as saying 3 plus 3 plus 3 and each bar represents three, and each bar also represents three groups.

The difference is that the representations look different.

So, on the trip, Mrs. Hopper actually collected six ladybirds for a science lesson.

She grouped them into twos and wrote the repeated addition expression, so she's got 2 plus 2 plus 2.

Alex had a go at representing the repeated addition expression below by drawing it, so we can see that he's represented it there.

"So there are three groups, and there are two ladybirds in each group." So, to represent the two ladybirds, he's just drawn two dots in each group.

This time, Mrs. Hopper grouped them differently.

So she's written the repeated addition expression of 3 plus 3.

Now Alex has a go at representing the repeated addition expression below by drawing it.

"So there are two groups this time." So, he's going to draw two circles to represent the groups.

"And in each group, there are three ladybirds." So he's going to put in three dots there and three dots there.

So Alex has now represented the repeated addition expression by drawing it.

Over to you.

So there are eight leaves altogether.

I'd like you to draw the correct number of leaves in each group, and I want you to use the repeated addition expression to help you.

So it's 2 plus 2 plus 2 plus 2.

You can pause the video here and have a go at that drawing.

Off you go.

Good luck.

So, how did you do? Well, this is what you should have drawn.

Now, don't worry if you've represented the leaves as a dot, that's absolutely fine.

So you should have had two dots in each of the circle to show 2 plus 2 plus 2 plus 2.

Now, there are 12 stones altogether.

Jacob represents this using a bar model, and Alex wants to represent this using repeated addition.

What advice do you think you'd give to Alex to do this? Now, let's have a look at the bar model.

We can see that there are six groups of two.

I wonder how you could represent that.

Well, you may have said that Alex needs to add 2 six times.

So the repeated addition there would be 2 plus 2 plus 2 plus 2 plus 2 plus 2.

This shows six groups of two.

So you could count how many groups there are and how many are in each group to do this.

You can also check this by skip counting and seeing if there are 12 altogether.

Over to you, which image matches repeated addition? So we've got our repeated addition expression as 3 plus 3 plus 3 plus 3.

Now, is it A, B, or C? Think about how many groups there are and think about the number of stones in each group.

You can pause the video here.

So what did you get? Well, if you got B, you are correct.

And that's because there are four equal groups with three stones each.

So that is 3 plus 3 plus 3 plus 3.

And remember, you can skip count to check that there would be 12 stones altogether.

Now, there are 12 stones altogether.

This time, Jacob represents this using a different combination of groups.

What have you noticed? So the total amount of stones is the same.

The groups are different, so there are four groups of three stones.

Over to you.

There are 15 stones altogether this time.

Jacob represents this as groups using a bar model.

Represent this using repeated addition.

So think about how many groups there are and the number of stones in each group.

So what did you get? Well, 15 stones can be grouped into 5 groups of 3, so that's 3 plus 3 plus 3 plus 3 plus 3.

Well done if you manage to get that repeated addition expression.

Onto your main task for this lesson cycle.

So, for question one, what you're going to be doing is circling the repeated addition that matches the sentence.

So, have a look at the repeated addition expressions that are below, and I want you to circle the correct repeated addition to match the sentences.

So, for question two, you're going to show two different ways of representing the groupings below.

Include repeated addition as one representation.

So you've got six groups of four, and then you've got seven groups of four.

So you should represent each group using repeated addition expression and then the second one could either be a bar model, it could be a drawing of the different groups, it's up to you.

For question three, you're going to draw and complete the representations based on the repeated addition.

So you've got 2 plus 2 plus 2, then you've got 3 plus 3 plus 3 plus 3, 4 plus 4, and then 5 plus 5 plus 5 plus 5.

You could pause the video here.

Off you go.

Good luck.

So, how did you do? Well, for question one, this is what you should have got.

For three groups of five, you should have circled 5 plus 5 plus 5 because there are three groups of five.

For five groups of four, you would've added 4 five times, so that would've been 4 plus 4 plus 4 plus 4 plus 4.

And lastly, for five groups of three, you would've added 3 five times.

So that is the same as 3 plus 3 plus 3 plus 3 plus 3.

Well done if you circled the correct repeated addition to match those groupings.

For question two, this is what you should have got.

So for six groups of four, you should have got 4 plus 4 plus 4 plus 4 plus 4 plus 4 because there are six groups of four.

And you may have represented this using a drawing, so for each of the groupings, there should have been six groups with four items in each group.

For the second question, seven groups of four, you should have got, get ready, 4 plus 4 plus 4 plus 4 plus 4 plus 4 plus 4.

And that's because there are seven groups of four.

And for your drawing, you should have had seven groups with four items or dots in each group.

Well done if you got that correct.

For question three, this is what you should have got for your drawings.

So you should have got three groups with two dots in each group.

For 3 plus 3 plus 3, that's four groups with three dots in each group.

For 4 plus 4, that's two groups with 4 dots in each group.

And for the last question, so 5 plus 5 plus 5 plus 5, that's four groups of five, so that's four groups with five dots in each group.

Well done if you've managed to represent the repeated addition using drawings correctly.

We've made it to the end of the lesson.

Good job.

In this lesson, you were able to represent equal groups as repeated addition.

This is a massive step to help you understand how we can group objects in other different ways, and then this will lead into multiplication, so it's super important you know how to do this.

You should now understand that groups of objects can be represented as repeated addition expressions.

You should now also understand that repeated additions are made of equal groups.

Well done.

I'm super proud of you and I can't wait to see you in the next lesson.

Bye.