Calcite is calcium carbonate and it is one of the most abundant minerals on the planet — it makes limestone, marble, chalk, travertine, stalactites and the shells of most marine organisms. If you have picked up a pale, soft, glassy or sugary stone that fizzes, this is almost certainly it.
Its identification is the easiest in this room because it has three unmistakable properties. It is hardness 3, the scale's own reference, so a copper coin scratches it. It effervesces vigorously in dilute acid, and household vinegar is enough. And a clear piece shows double refraction so strongly that a line viewed through it appears twice, which is a genuinely startling thing to see and is the reason Iceland spar was important to the history of optics.
The reason calcite matters for identification is mostly negative: it is the thing a great many hopeful finds turn out to be. Clear calcite gets mistaken for quartz, orange calcite for citrine, banded calcite for agate, and dyed calcite is sold as almost anything. All of it separates in one drop of vinegar.