Comparing Groups by Counting up to 10
In this video, we’ll learn how to compare two groups of up to 10 objects. And we’re going to do this by counting how many objects there are in each group. Many beasts are always good to count. Here we have two groups of many beasts. We have a group of snails and a group of wriggly earthworms. But which group contains the greatest number of many beasts? Which is the largest group? We can compare groups of objects or many beasts like this by using counting. First of all, let’s count up a group of snails. So that we know which snails we’ve counted, we could put an orange counter next to each one. There are one, two, three, four, five, six snails.
To represent the number six, we could move our six counters and put them on a 10-frame. We’ve made a full row of counters with one extra counter underneath. Another way to show the number six and how many snails there are is using a number track. We could even draw an arrow to show the number of snails on our number track. We counted six snails. Now, let’s do the same with our earthworms. How many are there? We can count one, two, three, four, five, six, seven. There are seven earthworms. Let’s move our counters like before and model this number seven using a 10-frame.
Just like the number six, we can see one full row of counters. But instead of one extra counter underneath, we now have two extra counters. There are more counters on this 10-frame. Seven is more than six. And you know we can show this on our number track too. When we’re counting from one to 10, we say the number seven after we say the number six. And this means that the number seven is a larger number. So, which group of many beasts is the largest? The worms are the largest group. We know this because the number seven is larger than the number six. It’s time to put into practice what we’ve learned. Let’s try some questions where we have to compare groups by counting up to 10.
Count the carrots. Which group has the greatest number of carrots?
In the picture, we can see two groups of carrots. And we know that we need to compare them because we’re asked, which group has the greatest number of carrots? In other words, which group has more carrots than the other one? How are we going to find the answer? Well, we’re told how to do so in the first sentence. We’re told to count the carrots. So, let’s do that. And as we count each number, we could put a counter on a 10-frame. 10-frames can be a useful way to help us to compare numbers and to represent them. Let’s begin by counting our first group of carrots then. We can see one, two, three, four, five carrots in the first group. If we look at our 10-frame, the number five is shown by one full row of counters.
Now, how many counters are in our second group of carrots? One, two, three, four, five, six. Our second group of carrots contains six carrots. Look how the number six is represented on a 10-frame. We have one full row of counters, just like before, but we also have another counter underneath. Six counters are more than five counters. This means we know that six carrots are more than five carrots. Six is more than five. Five is less than six. And so, the group that has the greatest number of carrots is the one that contains six carrots.
Count the cupcakes. Which group has the least number of cupcakes?
In the picture, we can see two groups of cupcakes. Perhaps they’re sitting on two trays at the baker’s. We’re asked to compare these two groups together because we’re asked, which group has the least number of cupcakes? In other words, which group contains less cupcakes than the other? We can compare two groups together by counting. And that’s why we’re asked to count the cupcakes. Let’s use a number track to help us count. We could move an orange counter along our number track as we count each cupcake in our first group. There are one, two, three, four, five, six, seven, eight, nine. Our counter has made it all the way along to number nine on our number track. We can say that there are nine cupcakes in the first group.
How many cupcakes are there in the second group? We’ll use a different colored counter this time. There are one, two, three, four, five, six. There are six cupcakes in the second group. Now that we’ve counted both groups, we can answer the question. Which group has the least number of cupcakes? If we look at our number track, we can see that the number nine is further along than the number six. If we’re counting, the number nine comes a little bit after the number six. And we know that when we say a number after another number, it’s larger. So, we can say that nine is more than six. Six is less than nine. So, which group has the least number of cupcakes? It’s the group that contains six cupcakes. Six is less than nine.
Which groups have the same number of fruits?
When two groups contain the same number, we can say that they are equal. And this question is getting us to look at the groups of bananas and strawberries and to find which groups are equal, which are the same size. We’ve got three possible answers to choose from. Is it these groups? Or maybe these groups are equal? What about these groups? To find the answer, we’re gonna have to count the number of bananas and strawberries each time. Let’s start with our first pair of groups. How many bananas are there? We can count one, two, three, four, five, six bananas. Let’s write the digit six to remind us that there are six bananas.
Now, let’s count the group of strawberries. We can see one, two, three, four, five, six. This is not gonna be the same number, is it? Seven, eight strawberries. The numbers six and eight are different. The groups don’t contain the same number of fruits. Six is less than eight. Eight is more than six. They’re not the same. Let’s try comparing our second pair of groups. First, bananas. There are one, two, three, four, five, six, seven, eight, nine, 10 bananas. we can write a one and a zero to show the number 10. How many strawberries are there? This looks very similar to the group of strawberries above. There are one, two, three, four, five, six, seven, eight. So, we have 10 bananas and eight strawberries.
Do these groups have the same number of fruits? No, the number 10 and the number eight are different numbers. We know that eight is less than 10. 10 is more than eight. These groups are not the same. There’s only one possible answer left. Let’s hope this pair of groups is the same. We can count one, two, three, four, five, six, seven, eight, nine, 10 bananas. Now, if our second group is the same, how many strawberries should there be in it? Well, we need that to be 10. Let’s count our strawberries. One, two, three, four, five, six, seven, eight, nine, 10. Look how the numbers are the same. We have 10 bananas and 10 strawberries. These groups are equal. The groups that show the same number of fruits are those that show 10 bananas and 10 strawberries.
So, what did we learn in this video? We’ve learned how to compare groups of up to 10 objects. And the way we’ve done this is by counting the number in each group.