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					                           Mathematics Alignment Lesson
                            Grade 5 Quarter 3 Day 95

     Common Core State Standard(s)                                   Alignment Lesson
5.NF. 1 Add and subtract fractions with unlike            Adding & Subtracting Fractions Using Grids
        denominators (including mixed
        numbers) by replacing given fractions         1. Display Transparency “Adding and Subtracting
        with equivalent fractions in such a way           Fractions” and explain to students what a Sweetie Bar is
        as to produce an equivalent sum or                using the description under the diagram. Model for
        difference of fractions with like                 students how you can use the Sweetie Bar to add and
        denominators. For example, 2/3 +                  subtract fractions using question #1. Be sure to point
        5/4 = 8/12 + 5/12 = 23/12. In general,            out that you record the fraction for each piece
        a/b + c/d = (ad + bc)/bd.)                        (regardless of the denominator) and then look for a
                                                          common denominator.
    Standards for Mathematical Practice
Standard 1 Make sense of problems and                 2. Students work in pairs or small groups to solve the
           persevere in solving them.                    rest of the questions regarding the Sweetie Bar. Then
Standard 6 Attend to precision.                          select a student leader (or various student leaders) to
                                                         discuss the solutions to the remaining questions.
                                                         Students should be clear about the equivalent
            Materials Needed:                            fractions they create to add or subtract and how they
   Transparencies/Blackline Masters-                    know the fraction are equivalent.
        “Adding and Subtracting
        Fractions”, “Granny’s Garden”                 3. Display Transparency/Blackline Master, “Granny’s
                                                         Garden” and discuss the similarities and differences
   Markers
                                                         between this diagram and the last. (Still representing
                                                         various fractions; the denominator has changed.)
                                                         Have students work independently to create questions
                                                         based on Granny’s Garden (answers will vary).
                 Assessment                           4. Once students have created questions, have them
                                                         switch with a partner (or within a group of 3). The
Ask students “Why do we have to look for a
                                                         students will then answer the questions created by
common denominator before we add or subtract
fractions?”                                              their partner(s). After that, they will switch back and
                                                         the author of the questions will check to make sure
                                                         his/her classmate correctly answered the questions.

                                                  Note: You may want to have students arranged in pairs or groups
                 Homework                         of 3 prior to Step 4. Also, if students struggle to see the separate
                                                  parts of the whole, allow them to color each section a different
Blackline Master, “Adding and Subtracting
                                                  color.
    Fractions Homework”

                                                  Source: Teacher Created & Math Partners Grant


                                                  Vocabulary
                                                    None




Wake County Public School System, 2012
                  Transparency/Blackline Master      Grade 5   Day 95   Standard 5.NF.1
                        Adding and Subtracting Fractions
                                              Sweetie Bar
                        Blueberry        Blueberry         Orange           Lemon



                        Blueberry        Blueberry         Cherry           Cherry



The picture above is of a candy bar, the Sweetie Bar. The Sweetie Bar is made of 4 different flavors in
one bar. Use the Sweetie Bar to help you answer the questions below. Be sure to show the fractions
represented by the parts of the Sweetie Bar that help you solve the problem.

    1. orange + blueberry =



    2.   cherry + orange =



    3. lemon + cherry =



    4. lime + blueberry =



    5. orange + lime + blueberry =



    6.   One sweetie bar – orange =



    7.   One sweetie bar – cherry =



    8.   Blueberry – cherry =



Adapted from Math Partners Grant
Wake County Public School System, 2012
                             Answer Key Grade 5      Day 95   Standard 5.NF.1
          Adding and Subtracting Fractions – Answer Key
                                              Sweetie Bar
                       Blueberry         Blueberry       Orange            Lemon



                       Blueberry         Blueberry       Cherry            Cherry



The picture above is of a candy bar, the Sweetie Bar. The Sweetie Bar is made of 4 different flavors in
one bar. Use the Sweetie Bar to help you answer the questions below. Be sure to show the fractions
represented by the parts of the Sweetie Bar that help you solve the problem.

    1. orange + blueberry =
         1/8 + 1/2 =
         1/8 + 4/8 = 5/8

    2.   cherry + orange =
          1/4 + 1/8 =
          2/8 + 1/8 = 3/8

    3. lemon + cherry =
         1/8 + 1/4 =
          1/8 + 2/8 = 3/8

    4. lime + blueberry =
        0/8 + 1/2 =
        0/8 + 4/8 = 4/8

    5. orange + lime + blueberry =
       1/8 + 0/8 + 1/2 =
       1/8 + 0/8 + 4/8 = 5/8

    6.   One sweetie bar – orange =
               1       - 1/8 =
                8/8      - 1/8 = 7/8

    7.   One sweetie bar – cherry =
               1        - 1/4 =
              4/4       - 1/4 = 3/4

    8.   Blueberry – cherry =
            1/2     - 1/4 =
            2/4     - 1/4 = 1/4

Adapted from Math Partners Grant



Wake County Public School System, 2012
                  Transparency/Blackline Master   Grade 5    Day 95    Standard 5.NF.1
                                         Granny’s Garden

               Tomato             Green Pepper         Red Pepper                 Lettuce


               Tomato             Green Pepper            Lettuce                 Lettuce


               Tomato                Squash               Lettuce                 Lettuce


The picture above is a sketch Granny made for the garden she planted. She sometimes forgets where she
plants her vegetables so she keeps this sketch nearby at all times. Use Granny’s Garden to create adding
and subtracting problems. Record your questions in the space provided.

    1.



    2.



    3.



    4.



    5.



    6.



    7.



    8.




Wake County Public School System, 2012
                         Blackline Master   Grade 5   Day 95 Standard 5.NF.1
                                                         Name: _______________________________
                                                        Date: __________________________________

                   Adding & Subtracting Fractions Homework




Directions: Use the grid above to create a situation similar to those we worked on in class today. Once
you have created a scenario and assigned labels to each fraction of the grid, write and solve 4 problems
using your grid.

Question 1:


Solution:


Question 2:


Solution:


Question 3:


Solution:


Question 4:


Solution:


Wake County Public School System, 2012
                            Answer Key Grade 5         Day 95 Standard 5.NF.1
                                                            Name: _______________________________
                                                            Date: __________________________________

      Adding & Subtracting Fractions Homework – Answer Key
                                            Possible Answer:
                          Gym                       Gym                        Gym


                          Gym                       Gym                      Bathroom


                      Classroom 1               Classroom 2                  Cafeteria


                      Classroom 1               Classroom 2                  Cafeteria


                     Music Room                   Art Room                   Cafeteria


Directions: Use the grid above to create a situation similar to those we worked on in class today. Once you have
created a scenario and assigned labels to each fraction of the grid, write and solve 4 problems using your grid.

Question 1:
Gym + Bathroom =

Solution:
1/3 + 1/15 =
5/15 + 1/15 = 6/15 = 2/5

Question 2:
Classroom 1 + Classroom 2 =

Solution:
2/15 + 2/15 = 4/15

Question 3:
Gym – Music Room – Art Room =

Solution:
1/3 - 1/15 – 1/15 =
5/15 – 2/15 = 3/15 = 1/5

Question 4:
(Gym + Classroom 1 + Classroom 2 + Bathroom) – Technology Lab =

Solution:
(1/3 + 2/15 + 2/15 + 1/15) – 0/15 =
(5/15 + 2/15 + 2/15 + 1/15) – 0/15 = 10/15 = 2/3
Wake County Public School System, 2012

				
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