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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
     diagrams to support your answer.




  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
  on your color choices.
          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
     diagrams to support your answer.

     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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