# q3-5.nf.1-day95

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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.
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
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
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 =

Wake County Public School System, 2012
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

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: __________________________________

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

Question 1:

Solution:

Question 2:

Solution:

Question 3:

Solution:

Question 4:

Solution:

Wake County Public School System, 2012
Name: _______________________________
Date: __________________________________

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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