Abstract
This article describes a discovery activity which is organized and developed at two different levels of treatment corresponding to the different degree of mathematical maturity of students. Using an 8‐digit calculator, students at the first level (7‐9th graders) explore patterns which lead them to discover the properties of repunits and their relationships to many mathematical curiosities. At the second level (10‐12th graders) students may be interested in further extension exploring why these patterns emerge and offering algebraic justification.
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