Task# Triangular Tables

Illustrative MathematicsVaries

This task provides a good opportunity for group work and class discussions where students generate and compare equivalent expressions. In class discussion, students n should be asked to connect the terms of an expression with quantities shown in the diagram. As part of the solution, students can make a table of values for increasing numbers of tables and seats and find a pattern. It is important that a discussion of the problem explicitly draws out how the diagram, the table of values, and the expressions are connected.