Abstract
The Tiling Tubs task is a middle school activity published in NCTM's Navigating through Algebra in Grades 6-8. Students examine a drawing that shows a square hot tub with side length s feet. A border of square tiles surrounds the tub, with each border tile a 1-foot square. Students determine the number of border tiles required to surround the tub and express that number in as many ways as they can, thereby creating various equivalent algebraic representations. A valuable component of Tiling Tubs is its requirement that students contextually justify their algebraic representations. Students also realize that more than one correct representation and justification exists.
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