Q: How often did they present an offering? And was it either a burnt, grain or peace offering, or were they meant for different things?
The offerings did have different nuances to them. The Burnt Offering (Lev 1) was a sacrifice for worship and reverence. The entire animal was burned up as a symbolic expression of one’s total devotion to God.
The Grain offering (Lev 2) – which was never offered separately, but always alongside one of the “bloody” sacrifices – were expressions of thanksgiving to the God who met all physical needs (i.e. gave their Daily Bread).
The Fellowship Offering (Lev 3) was made in response to a special blessing received from God, an expression of thanksgiving for specific blessings from God.
What the sacrifices from Leviticus 1-3 have in common is that they are EXPRESSIONS of the Covenant Relationship – expressions of being a part of the covenant people of God.
Those sacrifices described in the next few chapters will have a different emphasis – those are focused on RESTORING the Covenant Relationship destroyed by sin.