The festival of Rosh Hashanah —the name means “Head of the Year ”—is observed for two days beginning on 1 Tishrei , the first day of the Jewish year. It is the anniversary of the creation of Adam and Eve , the first man and woman , and their first actions toward the realization of mankind’s role  in G‑d’s world.
Rosh Hashanah thus emphasizes the special relationship  between G‑d and humanity: our dependence upon G‑d as our creator and sustainer, and G‑d’s dependence  upon us as the ones who make His presence known and felt in His world. Each year on Rosh Hashanah, “all inhabitants of the world pass before G‑d like a flock of sheep,” and it is decreed in the heavenly court “who shall live , and who shall die . . . who shall be impoverished, and who shall be enriched ; who shall fall and who shall rise .” But this is also the day we proclaim G‑d King of the Universe . The Kabbalists teach that the continued existence of the universe is dependent upon the renewal of the divine desire  for a world when we accept G‑d’s kingship  each year on Rosh Hashanah.
The central observance of Rosh Hashanah is the sounding of the shofar , the ram’s horn, which also represents the trumpet blast of a people’s coronation of their king. The cry  of the shofar is also a call to repentance , for Rosh Hashanah is also the anniversary of man’s first sin and his repentance thereof , and serves as the first of the “Ten Days of Repentance” which culminate in Yom Kippur , the Day of Atonement. Another significance of the shofar is to recall the Binding of Isaac  which also occurred on Rosh Hashanah, in which a ram took Isaac’s place as an offering to G‑d; we evoke Abraham’s readiness to sacrifice his son, and plead that the merit of his deed should stand by us as we pray  for a year of life, health and prosperity . Altogether, we listen to one hundred shofar blasts  over the course of the Rosh Hashanah services.
Additional Rosh Hashanah observances include: a) Eating a piece of apple dipped in honey , to symbolize our desire for a sweet  year, and other special foods  symbolic of the new year’s blessings. b) Blessing one another  with the words “Leshanah tovah tikateiv veteichateim,” “May you be inscribed and sealed for a good year.” c) Tashlich , a special prayer said near a body of water  (an ocean, river, pond, etc.), in evocation of the verse, “And You shall cast their sins into the depths of the sea.” And as with every major Jewish holiday, after candlelighting and prayers we recite kiddush and make a blessing on the challah.