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Mathline

Once In A Blue Moon
Number Systems and Number Theory

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Objective

Students will use number theory skills to investigate when certain planets are aligned.

Overview of the Lesson

In 1988, Earth, Jupiter, Saturn and Uranus were all in alignment. This happens “once in a blue moon.” Students review the order of the planets from the sun and use this data to create a human solar system. They are assigned the name of a planet, and physically demonstrate the orbits and the time it takes for each of the planets to revolve around the sun. These times range from the 88 days it takes Mercury to revolve around the sun to 247 years it takes Pluto. The investigative question is, “When, if ever, will these four planets be in alignment again?” Student groups devise plans for finding answers to this question. The lesson concludes as students share their reasoning and methods for arriving at a solution. Students engage in a self assessment of their performance in solving this problem.