TM MATH Project

Fractions: W
hat is My Fair Share?

Fraction City 

Fraction City/Computations


Fraction City Grades 6 - 8

Adapted from, Fraction City by Dr. Mavis Kelley, retrieved 06.03.02

Mathematical Idea: Students will be able to calculate and compare distances by adding, subtracting, multiplying and dividing fractions.

Prior knowledge needed: Students should have basic map knowledge and be able to manipulate fractions with all four operations.

Standards addressed: Standard 1 - Benchmark 2 - The student uses numerical, computational concepts and procedures in a variety of situations.

Materials needed: Fraction City transparency, Fraction City map, sheet of icons, glue, scissors, worksheet 1

Part 1: Using the teacher transparency, model and explain street layout with basic explanation of fractions. Do guided practice questions measuring distances on the overhead city.

Part 2: Place students in groups of 2 or 3, distribute a Fraction City map that only contains the streets. Pass out scissors, glue and an icon sheet to each group. Students are to cut out icons and create their own city by gluing the icons on the map. Each group is to name their city and write it at the top of their map.

Part 3: Distribute worksheet 1 to each group. Students are to answer the questions using their newly developed city and then create questions that pertain to their city. After creating an answer key, groups will exchange maps and questions.

Journal writing: What part of the city project did you enjoy the most? What part was the most difficult? What would you suggest that I change to improve the city? If a relative were coming in from out of town, how would you direct him to your house? Please write out street distances and directions as well as other important information.

Connection to other grades: This will build on the continuum of concepts and procedures of computation used in fifth grade concerning addition, subtraction, multiplication, and division of fractions. This will continue building on these skills while using problem solving with maps and distances.

Vocabulary:  Fractions, mixed fractions, improper fractions, numerator, denominator, common denominator, common factor, multiples, factors, sum, difference, quotient, product, rational numbers

Metacognitive reflection: How is mathematical idea made explicit?  The student will recognize and understand that fractions are rational numbers useful in solving real world problems. Students will be able to perform various computational procedures and explain how they were used. Fraction City allows the students opportunities to practice fraction computations in real world situation.

Worksheet 1

Name ___________________________________

Date ____________________

Hour ________

Fraction City Maps

Directions: Complete the worksheet using your city map. Do not include unit lengths and be sure to show all work. Write equations when appropriate.

1. Write all equivalent fractions for using First to Twelfth Streets on your map. =_ _, , , ,

2. If you are traveling from the grocery store to school, and then to home, how far would you travel?

Grocery store to school __________

School to home ___________

Total distance ___________

3. How much farther is it from the home to the office buildings than from home to school?

Home to office buildings ________

Home to school _________

Difference _________

4. When you walk from school to the restaurants and back for lunch, how far have you walked? _______

How far would you have traveled if you did it everyday during a school week? ________________



5. If you have already traveled 5/8 of the way from the gas station to the grocery store, how far have you

traveled ? _________________ How much farther do you have to go? _______________________

6. The city has decided to subdivide each section of Third Street into four equal parts. How many new

sections will Third Street now contain? _________________________________

What should they rename the street? ____________________________________




Fraction City Legend               Streets                                map1                                  map2




Therese Wohler
Pat Mhate
Helen Robertson

Wendy McDaniel
Tracey VanDevelde
Shane Walck

Marilyn Shaw
Terri Proctor
Susan Wright




Mara Alagic, Department of Curriculum and Instruction, Wichita State University
John Hutchinson
, Department of Mathematics and Statistics , Wichita State University
Mary Krehbiel,
Wichita Public Schools


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Updated April 2002

Maintained by:  Mara Alagic

Mathematics Education

Curriculum & Instruction Department

Wichita State University

Wichita, Kansas  67260-0028

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