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# 1.4: Packing Bags

Difficulty Level: At Grade Created by: CK-12

Can you describe what you see in the picture below? What if you put the same shapes that are in the filled bag into the empty bags? How many of each shape would you now have? In this section, we will practice describing what we see and counting shapes.

### Packing Bags

When looking at bags like in the picture above, we can see that one bag is filled and the other bags are empty. We can fill the empty bags the same way as the filled bag. Then, we can count to see how many of each shape we have in total.

1. Look at the picture below. What do you see?

You should notice 2 bags. One bag has shapes in it and the other bag is empty. The bag with the shapes in it has 2 circles and 1 triangle.

The bag with shapes in it is Ann’s bag. Use your shape tiles. Put 1 triangle into the empty bag. Put 2 circles into the empty bag. Now, count the shapes. How many circles in all? How many triangles in all?

You should have 4 circles in all and 2 triangles in all.

2. Look at the picture below. What do you see?

You should notice 2 bags. One bag has shapes in it and the other bag is empty. The bag with the shapes in it has 2 triangles, 1 circle, and 1 square.

The bag with the shapes in it is Ted’s bag. Use your shape tiles. Put 2 triangles into the empty bag. Put 1 circle into the empty bag. Put 1 square into the empty bag. Count the shapes. How many triangles in all? How many circles in all? How many squares in all?

You should have 4 triangles in all, 2 circles in all, and 2 squares in all.

#### Earlier Problem Revisited

You should notice 3 bags. One bag is Bob's bag and it has 1 circle and 2 squares in it. The other two bags are empty. If you put 2 squares into each empty bag and 1 circle into each empty bag you will have 6 squares in all and 3 circles in all.

### Vocabulary

This is a circle:

This is a square:

This is a triangle:

### Examples

For each set of bags below, describe what you see. Then, fill the empty bag(s) with the same shapes that are in the filled bag. Last, count how many of each shape you have in all.

#### Example 1

You should notice 3 bags. One bag has 2 square, 2 triangles, and 1 circle. The other 2 bags are empty. If you put 2 squares, 2 triangles, and 1 circle in each empty bag, you will have 6 squares in all, 6 triangles in all, and 3 circles in all.

#### Example 2

You should notice 3 bags. One bag has 3 circles, 1 triangle, and 1 square. The other 2 bags are empty. If you put 3 circles, 1 triangle, and 1 square into each empty bag, you will have 9 circles in all, 3 triangles in all, and 3 squares in all.

#### Example 3

You should notice 4 bags. One bag has 2 triangles, 1 circle, and 2 squares. The other 3 bags are empty. If you put 2 triangles, 1 circle, and 2 squares into each empty bag, you will have 8 triangles in all, 4 circles in all, and 8 squares in all.

### Review

For each set of bags below, describe what you see. Then, fill the empty bag(s) with the same shapes that are in the filled bag. Last, count how many of each shape you have in all.

1. What if there had been two empty bags in #1 instead of just one empty bag? If you filled all of the empty bags, how many of each shape would there be?
2. What if there had been three empty bags in #1 instead of just one empty bag? If you filled all of the empty bags, how many of each shape would there be?
3. What if there had been four empty bags in #1 instead of just one empty bag? If you filled all of the empty bags, how many of each shape would there be?

### Notes/Highlights Having trouble? Report an issue.

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Date Created:
Jan 18, 2013
Mar 23, 2016

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