Heart Paths challenges students to find all the different paths that spell HEART if they can only move from a letter to one of the two letters directly below it. Students use the Heart Path worksheet to record each path, making it easy to check for duplicates.
This problem is best solved using systematic counting, an organized approach to solving the problem. While many students might not use this approach independently, it is beneficial for the teacher to spotlight students who successfully used this approach. Or, the teacher might model the approach as students check their own solutions, adding paths they might have missed in a more haphazard approach.
Download the Heart Paths worksheet which includes the problem sheet, worksheet and solution.