6.EE.C.Represent and analyze quantitative relationships between dependent and

independent variables.9.Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent

variable, in terms of the other quantity, thought of as the independent variable. Analyze the

relationship between the dependent and independent variables using graphs and tables,

and relate these to the equation.

Tables and Chairs Problem

We are setting up for a family reunion in the park. We have 5 hexagon shaped tables. If one chair is on each side of each table, how many people can sit at the tables?

Oh no! It started raining and we have to move the tables inside, but we have less room. We have to push the tables together to fit in the room. Now how many people can sit at these 5 tables?

Sharing Your SolutionsHow did you determine the number of

seats available when the tables were pushed together?

More tables: Determining a patternCan you predict how many people can

be seated around 8 tables?

Make a model to show this relationship.

More tables: Determining a patternHow many people can be seated around

25 tables?

How do you know?

Describe the pattern.Number of

Hexagon TablesNumber of Chairs

15825n

6

341024n+2

10

Extend Your ThinkingHow many hexagon tables will be needed

to seat 158 people?

158 4x 2

39 x

156 4x

chairs 4(number of tables)2