Grade Level(s): 6
Keywords: Triangular Tables, patterns, variable, expression, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, resource, free, freely available, problems-based learning, student activities
In this task, students look for a pattern and then they use a variable to represent an unknown. They may also draw diagrams and make a table of values to analyze the problem and understand it. They are asked to use their pattern or expression to predict other values.
This task provides a good opportunity for group work and class discussions where students generate and compare equivalent expressions. In class discussion, students 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.
Source and Access Information
Name of Author/Source: Brian Carmichael
District/Organization of Contributor(s): FSU Lab School
Is this Resource freely Available? Yes
Access Privileges: Public
* Please note that examples of resources are not intended as complete curriculum.