What Are Equal Groups?

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What is a 'group' in math?

A collection or set of items that are put together.

What does it mean if groups are 'equal'?

It means each group has the exact same number of items.

You have \(2\) baskets. One has \(4\) apples, and the other has \(4\) apples. Are these groups equal?

Yes, because both groups have the same number of items (\(4\)).

You have \(2\) plates. One has \(3\) cookies, and the other has \(5\) cookies. Are these groups equal?

No, because the groups have a different number of items (\(3\) is not equal to \(5\)).

Imagine three friends. Each friend is holding \(2\) balloons. Are the groups of balloons equal?

Yes. There are \(3\) groups, and each group has \(2\) balloons.

A student has \(2\) pencil cases. One has \(10\) pencils, and the other has \(8\) pencils. Are the groups of pencils equal?

No. The groups are unequal because \(10\) is not the same as \(8\).

Look at this set of items: 🔴🔴🔴, 🔴🔴🔴, 🔴🔴🔴. Are these groups equal?

Yes. There are \(3\) groups, and each group has \(3\) items.

Look at this set of items: ⭐⭐, ⭐⭐⭐⭐, ⭐⭐. Are these groups equal?

No. Two groups have \(2\) items, but one group has \(4\) items.

You have \(2\) hands. You have \(5\) fingers on each hand. Are the groups of fingers equal?

Yes, each group (hand) has \(5\) fingers.

A box of donuts has a mix of kinds: \(3\) chocolate, \(4\) glazed, and \(5\) sprinkled. If you think of each kind as a group, are the groups equal?

No, the groups are not equal because they have different amounts: \(3\), \(4\), and \(5\).

To get ready for a party, you make \(4\) goody bags with \(6\) candies in each bag. Are the groups of candies equal?

Yes. You have \(4\) equal groups of \(6\).

Which set shows equal groups? A) 🔵🔵, 🔵🔵, 🔵🔵 B) 🔵🔵, 🔵🔵🔵, 🔵

Set A shows equal groups. Each of the \(3\) groups has \(2\) items.

Why is it important to know if groups are equal before you can multiply?

Multiplication is a shortcut for counting equal groups. It doesn't work if the groups are not the same size.