Task# Patterns in the multiplication table

Illustrative MathematicsVaries

This task is intended for instruction. The goal is to look for structure and identify patterns and then try to find the mathematical explanation for this. This problem examines the 'checkerboard' pattern of even and odd numbers in a single digit multiplication table. The even numbers in the table are examined in depth using a grade appropriate notion of even, namely the possibility of reaching the number counting by expressing the number as a whole number of pairs.