Question Video: Using Objects to Decompose Numbers up to 10 in More Than One Way

There are 10 fish. Fill in the numbers to find another way to make 10.


Video Transcript

There are 10 fish. Fill in the numbers to find another way to make 10.

In this question, we can see two additions shown using pictures. And both additions make a total of 10. How do we know this? Well, because the first sentence tells us there are 10 fish, but also because we can see that the final picture in our number sentences or equations shows the number 10. Our first number sentence is complete. And if we look carefully, we can see that each picture’s labeled, but we can count the fish just to check. One, two, three, four, five, six, seven plus one, two, three equals one, two, three, four, five, six, seven, eight, nine, 10. Seven and three are a pair of numbers that go together to make 10.

And we could model this in different ways. For example, we could split up a ten frame to show seven plus three. Or if we had 10 counting beads on a string, we could move three to the other end, to show that a group of seven and a group of three go together to make 10.

Now, if we look at our second addition, we can see that some of the numbers are missing. What plus what equals 10? The question asks us to fill in the numbers to find this other way to make 10. How many fish are there in our first picture? Let’s start at the top and work our way down. One, two, three, four, five fish. Now, what do we add to five to make 10?

We could find the answer by counting the fish in the second picture. But let’s use our models to help. If we have five pink counters, how many orange counters are we going to need? We’ll need the same number of orange counters to make a row underneath. In other words, we’re going to need another five. Can we model five plus five using our beads? Yes, we can. And if we count the fish in our second picture from top to bottom, we have one, two, three, four, five fish altogether.

Just because the fish in the second picture make a different shape doesn’t mean there’s a different number of them. They’re just arranged differently. So, as well as seven plus three, five plus five equals 10. Our missing numbers are five and five.

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