Two Ways of Sharing in Division

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Two Ways of Sharing in Division
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Contents

Mr. Squeaks and Imani are in Egypt and decide to explore a pyramid. Suddenly, they see something on the wall. It looks like a division problem! Maybe if they solve it the door will open so they can explore further! Let’s learn how to do division by grouping so we can help them crack the codes!

What is Division by Grouping?

Division by grouping is a little different from division by sharing. Division by sharing is when we know the number being divided and the number of groups, and we need to find out the number in each group. The division by grouping method happens when we know how many we need to divide into groups, and we need to find out the number of groups. Division sharing and grouping are different as you can see.

How do you divide by grouping? The next section explains how to do division as grouping.

How to Divide by Grouping

The image below shows how to solve by dividing in groups. You can see that there are six circles and we need to divide by equal grouping.

six-circles-division-by-grouping.svg

There are two ways we can divide six. One way we can divide six is into two groups of three. Another way we can divide six is three groups of two.

six-circles-two-groups-of-three-three-groups-of-two-division-by-grouping.svg

Have you practiced yet? On this website you can practice division by grouping and find division by grouping worksheets along with other activities, and exercises.

Transcript Two Ways of Sharing in Division

Mr. Squeaks and Imani are in Egypt and decide to explore a pyramid. It looks like a division problem! Maybe if they solve it the door will open so they can explore further! Let's help Mr. Squeaks and Imani by calculating, "Two Ways of Sharing in Division". When we divide, we break a number up into an equal number of parts, or groups. We will be practicing TWO DIFFERENT WAYS to share numbers into equal groups. First on the wall, there are six circles. One way we can share six into equal groups is to make (...) TWO groups of THREE. What is another way to share six into equal groups? (...) We can also make (...) THREE groups of TWO. What do you notice about the two different ways to share? (...) They are factor pairs of six! Remember, factor pairs are two numbers that are multiplied together to make a product, (...) or in this case the number six! When we calculate different ways to share into equal groups, we can use the factor pairs to help us! Wow! (...) Look at all the jars on the other side... but how do we get over there? If we calculate two ways to share fifteen, a bridge might appear! What is one way to share fifteen into equal groups? (...) We can make (...) THREE groups of FIVE. Thinking about the factor pairs, what is another way to share FIFTEEN into equal groups? (...) We can make (...) FIVE groups of THREE. Since we calculated two ways to share fifteen the bridge has appeared! Now, Mr. Squeaks and Imani are at another door. Let's help them calculate two ways to share twenty-one and maybe we'll see what's inside! This time try to find both ways on your own! Pause the video so you have time to work (...) and press play again when you're ready to see the answer! First, we can make (...) THREE groups of SEVEN... and SEVEN groups of THREE! (...) We found both ways to share twenty-one! It worked (...) but before we see what's inside the door, let's summarize. Remember (...) when we divide, we break a number up into an equal number of parts, or groups. We can identify different ways to share numbers into equal groups using factor pairs. Let's check in with Mr. Squeaks and Imani to see what's behind the door. Oh! What do we have here?! It looks like this mummy is excited to them!