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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
Given information is identified. 10 5
Information that must be assumed is listed. 10 5
Information that must be obtained is listed. 10 5
Appropriate arithmetic operations are used accurately. 10 5
Reasoning can be easily followed by the sequence of arithmetic operations. 10 5
The answer is appropriate according to the assumptions and reasoning used.  10 5
A clear, concise statement of the problem, the strategy for the solution, and the answer are made. Math vocabulary is used correctly. 10 5
A labeled diagram showing how the problem was solved is used to support the answer. 10 5
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
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?

copyright 2002  Richland County School District One