Teaching Algebra with Manipulatives

NAME ______________________________________________ DATE ____________ PERIOD ____
Mini-Project
(Use with Algebra 2, Lesson 10-6)
Graceful Numbering of Graphs
The dots and segments joining the dots in the graphs below are to be
numbered by the following rules.
(1) Each dot is to be numbered with a different nonnegative integer.
(2) Each segment is to be labeled with the positive difference of the
numbers for the dots that it connects. These numbers must all be
different.
A graceful numbering of the graph requires that the greatest number
used to label a dot be equal to the total number of segments.
Work with your group to see if you can find graceful numberings
for these graphs.
1.
2.
3.
© Glencoe/McGraw-Hill 278 Teaching Algebra with Manipulatives