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Problem
Solving With Fractions
Designed by: Margaret Knight School:
Gibbes Middle School
Grade
Level: 6 Subject(s):
Math
Core
Curriculum Objective(s): The student will
solve problems that involve addition, subtraction,
and/or division, multiplication with fractions and
mixed numbers, with and without regrouping, that
include like and unlike denominators of 12 or less and
express their answers in simplest form. (6PS1-4),
(6NA3-2),
(6NA3-3)
Overview:
The students will add, subtract, multiply, or
divide fractions to solve real world problems. The
students will also create and solve word problems
using addition, subtraction, multiplication, and
division of fractions. The students will exchange
their problems with other groups and work their
problems as well.
Focus/Essential
Question(s): Have you ever had the dilemma
of having a pizza with too few pieces for the number
of people? What could you do to solve that problem?
Time
Frame: (1) 50 minute class period
Resources/Materials:
Lesson Plans Using Graphic Organizers, Steck
Vaughn School Suppy. Copyright 2000.
Performance
Assessment in the Science Classroom, GLencoe
Science Professional Series, Copyright by
Glencoe/McGraw-Hill.
Culminating
Assessment: Students will create and solve a word
problem using addition, subtraction, multiplication,
or division using fractions. The problem must adhere
to the criteria found on the rubric.
Instructional
Activities: The teacher will review addition,
subtraction, multiplication and division of
fractions.The students will be divided into pairs.
Partners will be given a word problem using fractions.
The partners will work together to solve the problem.
The students will list the procedures involved in
solving the problem. The partners will then create and
solve their own word problem and switch with other
pairs of students. Each pair will solve the problem
and then score it according to the rubric provided.
Pairs who finish early will be allowed to access the
following internet sites on the computer for extra
practice: These sites involve problem solving which
will reinforce student learning.
www.juliet.stfx.ca/people/fac/pwang/mathpage/mathl.html
www.members.aol.com/_ht_a/iongoal/index.htm
Rubric
for word problem:
|
Word
Problem Rubric |
| Descriptor |
Met
Requirement |
Partially
Met the Requirement |
Did
Not Meet Requirement |
| The
problem is clearly defined. |
10 |
5 |
0 |
| Given
information is identified. |
10 |
5 |
0 |
| Information
that must be assumed is listed. |
10 |
5 |
0 |
| Information
that must be obtained is listed. |
10 |
5 |
0 |
| Appropriate
arithmetic operations are used accurately. |
10 |
5 |
0 |
| Reasoning
can be easily followed by the sequence of
arithmetic operations. |
10 |
5 |
0 |
| The
answer is appropriate according to the
assumptions and reasoning used. |
10 |
5 |
0 |
| A
clear, concise statement of the problem, the
strategy for the solution, and the answer are
made. Math vocabulary is used correctly. |
10 |
5 |
0 |
| A
labeled diagram showing how the problem was
solved is used to support the answer. |
10 |
5 |
0 |
| The
students show an especially thoughtful
analysis of the problem and select a most
effective way to solve it. The work is so
organized and complete that it is very easy to
follow. |
10 |
5 |
0 |
| Total
Points Earned |
Word
Problems
Word
Problem #1 Three candy stripers visited the
hospital's elderly patients. They divided their time
evenly so each would have a turn. Altogether, they
worked a total of 5 2/5 hours. How much time did each
candy striper spend with elderly patients?
Word
Problem #2 Monique, Melissa, Marcus, and Melody
pooled their money and bought 7 1/3 dozen flowers for
their mother's birthday. If they divided the cost
equally among each other, how many dozen would each
have to by?
Word
Problem #3 Three teachers ate 3 3/4 ounces of
carrots for lunch. If they shared the carrots equally,
how many ounces of carrots did each teacher eat?
Word
Problem#4 Sharona worked in a hospital. She asked
everyone to bring something for a staff party. She
brought 6 2/3 packages of cookies and 4 7/8 pounds of
hot dogs. If she divided the packages of cookies by
1/3 to make more packages, how many smaller packages
of cookies would she have?
Word
Problem #5 Mr. Williams brought 12 1/2 pounds of
meatballs, 3 1/4 pounds of ham, and 4 1/6 pounds of
cheese to the party. How many pounds of food did Mr.
Williams bring?
Word
Problem #6 Samuel made apple cobbler for the
party. He uses 1/2 cup of sugar and 3/4 cup of apples
in the recipe. He cut 10 pieces of cobbler from 1 pan.
If 24 people ate 1/2 piece each, how many pans of
cobbler would Samuel need?
Word
Problem #7 Pat has 15 2/5 yards of material to
make pillows. Each pillow uses 1 2/5 yards. How many
pillows can Pat make?
Word
Problem #8 Richland Memorial Hospital's emergency
room uses 9 3/4 times more cotton balls in a month
than the nursery uses in a day. If the nursery uses 2
2/3 packages in a day, how many packages does the
emergency room use in a month?
Word
Problem #9 Pam is a nurse. She can wrap a bandage
with 1 1/10 yards of tape. If she has 8 4/5 yards of
tape, how many bandages can she wrap?
Word
Problem #10 Antwan has 56 1/4 pounds of clay to
make flower pots. If one pot uses 3 3/4 pounds of
clay, how many flower pots can Antwan make? |