Teaching Algebra with Manipulatives

Finite Graphs
NAME ______________________________________________ DATE ____________ PERIOD ____
Algebra Activity Recording Sheet
(Use with the Lesson 14-1 Follow-Up Activity on page 759 in the Student Edition.)
Materials:
none
Collect the Data
Use the graph at the right.
Analyze the Data
1. Is Alek’s route traceable? If so, describe his route.
First Ave.
Town St.
Alek’s Home
State St.
Elm St.
2. Is there more than one traceable route that begins
at Alek’s house? If so, how many?
Second Ave.
Front St.
3. Suppose it does not matter where Alek starts his route.
How many traceable routes are possible now?
Main St.
Determine whether each graph is traceable. Explain your reasoning.
4. 5. 6.
7. The campus for Centerburgh High School has five buildings built
around the edge of a circular courtyard. There is a sidewalk between
each pair of buildings.
a. Use the space at the right to draw a graph of the campus.
b. Is the graph traceable?
c. Suppose that there is not a sidewalk between the pairs of adjacent
buildings. Is it possible to reach all five buildings without walking
down any sidewalk more than once?
8. Make a conjecture for a rule to determine whether a graph is
traceable.
© Glencoe/McGraw-Hill 206 Teaching Algebra with Manipulatives