The three important achievements of the ancient Maya are:
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Calendar - The Maya developed a highly sophisticated calendar system, which included the Tzolk'in (a 260-day ritual calendar) and the Haab' (a 365-day solar calendar). They were adept at tracking time and important events.
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Predicting Eclipses - The Maya were skilled astronomers and could predict solar and lunar eclipses with remarkable accuracy. Their advanced understanding of celestial movements was a significant achievement.
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Number System - The Maya created a unique vigesimal (base-20) number system that included the concept of zero. This system allowed for complex calculations and was fundamental in their mathematical practices.
These achievements reflect the Maya's advanced understanding of mathematics, astronomy, and their ability to organize their society around calendars and celestial events.