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```					          Worksheet D-59                                          Name: _________________________
Date: ___________ Period: _______
Understanding Ratios Using Double Number Lines

Use the picture and information from MathScape Lesson 5: “Quilting Ratios” to help you
complete the following questions.

1. Leticia used blue and yellow squares for her quilt. Complete the following double
number line diagram using the first row of her quilt. (NOTE: The entire pattern shown
represents “one row”.)

_____ Blue Squares to _____ Yellow Squares

Blue squares       0            5                           15                             25

Yellow squares
0                          8                                            20

2. Leticia is planning out the rest of her quilt. She wants to use a double number line to
figure out how many squares of each color she will need depending on the number of
rows she plans on having.
a. Make a double number line diagram to help her plan how many blue squares she
will need if she wants up to 5 rows in her quilt.

Row #         0            1             2              3              4              5

Blue squares
needed          0            25

b. Make a double number line diagram to help her plan how many yellow squares
she will need if she wants up to 5 rows in her quilt.

Row #       0

Yellow squares
needed          0

c. How is unit rate shown on the double number line diagrams? What is the unit
rate of blue squares per row? Yellow squares per row?
Worksheet D-59                                      Name: _________________________
Date: ___________ Period: _______

3. Compare Leticia’s ratio of blue squares to yellow squares and Gino’s ratio of white
squares to purple squares. Are they equivalent ratios? Use double number line

4. In Leticia’s quilt, what is the unit rate of blue squares per yellow square? How could we
use this information to fill in her double number line in question 1 further? (Hint: what
numbers could we add between 0 and 4 on the yellow square line? What information
goes with these numbers on the blue line?)

*CHALLENGE*
Create your own pattern for a quilt using the layout for the first row given below.
Choose two colors and set up the ratio to compare those colors. Can you create a
double number line reflecting other equal ratios? Define and give a unit rate based
Worksheet D-59                                          Name: _________________________
Date: ___________ Period: _______
KEY Understanding Ratios Using Double Number Lines

Use the picture and information from MathScape Lesson 5: “Quilting Ratios” to help you
complete the following questions.

1. Leticia used blue and yellow squares for her quilt. Complete the following double
number line diagram using the first row of her quilt. (NOTE: The entire pattern shown
represents “one row”.)

__25_ Blue Squares to _20__ Yellow Squares

10                             20
Blue squares       0            5                           15                             25

Yellow squares
0            4             8                                            20
12             16

2. Leticia is planning out the rest of her quilt. She wants to use a double number line to
figure out how many squares of each color she will need depending on the number of
rows she plans on having.
a. Make a double number line diagram to help her plan how many blue squares she
will need if she wants up to 5 rows in her quilt.

Row #         0            1             2              3              4              5

Blue squares
needed          0            25           50            75             100            125

b. Make a double number line diagram to help her plan how many yellow squares
she will need if she wants up to 5 rows in her quilt.

Row #       0            1             2              3              4              5

Yellow squares
needed          0            20           40            60              80            100

c. How is unit rate shown on the double number line diagrams? When the row
value is one. What is the unit rate of blue squares per row? 25 blue squares
per row. Yellow squares per row? 20 yellow squares per row
Worksheet D-59                                      Name: _________________________
Date: ___________ Period: _______

3. Compare Leticia’s ratio of blue squares to yellow squares and Gino’s ratio of white
squares to purple squares. Are they equivalent ratios? Use double number line

Leticia’s blue to yellow is 25:20 or 5:4 and Gino’s ratio of white to purple is 11:11
or 1:1.

5 1
      see student’s double number line diagrams to prove
4 1

4. In Leticia’s quilt, what is the unit rate of blue squares per yellow square? How could we
use this information to fill in her double number line in question 1 further? (Hint: what
numbers could we add between 0 and 4 on the yellow square line? What information
goes with these numbers on the blue line?)

Leticia’s blue to yellow is 1.25 blue per yellow. You could add 2 which would
split in half and then add one.

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