Numbered trees
Consider each pair
Adjacent sums
Must be square
Topics: Starter  Arithmetic  Number  Problem Solving  Puzzles
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Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a similar activity.
Transum.org/go/?Start=January8
Here is the URL which will take them to another activity involving square numbers.
Here is the URL which will take them to the interactive version of this activity called Square Pairs Game