1. 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

2. 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?

3. 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?

4. Sharing Your Solutions How did you determine the number of seats available when the tables were pushed together?

5. More tables: Determining a pattern Can you predict how many people can be seated around 8 tables? Make a model to show this relationship.

6. More tables: Determining a pattern How many people can be seated around 25 tables? How do you know?

7. Describe the pattern. Number of Hexagon Tables Number of Chairs 1 5 8 25 n 6 34 102 4n+2 10

8. Extend Your Thinking How many hexagon tables will be needed to seat 158 people?