Reference: Wave Offerings
Easton
parts of peace-offerings were so called, because they were waved by the priests (Ex 29:24,26-27; Le 7:20-34; 8:27; 9:21; 10:14-15, etc.), in token of a solemn special presentation to God. They then became the property of the priests. The first-fruits, a sheaf of barley, offered at the feast of Pentecost (Le 23:17-20), and wheat-bread, the first-fruits of the second harvest, offered at the Passover (Le 23:10-14), were wave-offerings.
See Verses Found in Dictionary
You are to put all these in Aaron's hands and in his sons' hands, and you are to wave them as a wave offering before the Lord.
You are to take the breast of the ram of Aaron's consecration; you are to wave it as a wave offering before the Lord, and it is to be your share. You are to sanctify the breast of the wave offering and the thigh of the contribution, which were waved and lifted up as a contribution from the ram of consecration, from what belongs to Aaron and to his sons.
The person who eats meat from the peace offering sacrifice which belongs to the Lord while his uncleanness persists will be cut off from his people. When a person touches anything unclean (whether human uncleanness, or an unclean animal, or an unclean detestable creature) and eats some of the meat of the peace offering sacrifice which belongs to the Lord, that person will be cut off from his people.'" read more. Then the Lord spoke to Moses: "Tell the Israelites, 'You must not eat any fat of an ox, sheep, or goat. Moreover, the fat of an animal that has died of natural causes and the fat of an animal torn by beasts may be used for any other purpose, but you must certainly never eat it. If anyone eats fat from the animal from which he presents a gift to the Lord, that person will be cut off from his people. And you must not eat any blood of the birds or the domesticated land animals in any of the places where you live. Any person who eats any blood -- that person will be cut off from his people.'" Then the Lord spoke to Moses: "Tell the Israelites, 'The one who presents his peace offering sacrifice to the Lord must bring his offering to the Lord from his peace offering sacrifice. With his own hands he must bring the Lord's gifts. He must bring the fat with the breast to wave the breast as a wave offering before the Lord, and the priest must offer the fat up in smoke on the altar, but the breast will belong to Aaron and his sons. The right thigh you must give as a contribution offering to the priest from your peace offering sacrifices. The one from Aaron's sons who presents the blood of the peace offering and fat will have the right thigh as his share, for the breast of the wave offering and the thigh of the contribution offering I have taken from the Israelites out of their peace offering sacrifices and have given them to Aaron the priest and to his sons from the people of Israel as a perpetual allotted portion.'"
He then put all of them on the palms of Aaron and his sons, who waved them as a wave offering before the Lord.
Finally Aaron waved the breasts and the right thigh as a wave offering before the Lord just as Moses had commanded.
Also, the breast of the wave offering and the thigh of the contribution offering you must eat in a ceremonially clean place, you and your sons and daughters with you, for they have been given as your allotted portion and the allotted portion of your sons from the peace offering sacrifices of the Israelites. The thigh of the contribution offering and the breast of the wave offering they must bring in addition to the gifts of the fat parts to wave them as a wave offering before the Lord, and it will belong to you and your sons with you for a perpetual statute just as the Lord has commanded."
"Speak to the Israelites and tell them, 'When you enter the land that I am about to give to you and you gather in its harvest, then you must bring the sheaf of the first portion of your harvest to the priest, and he must wave the sheaf before the Lord to be accepted for your benefit -- on the day after the Sabbath the priest is to wave it. read more. On the day you wave the sheaf you must also offer a flawless yearling lamb for a burnt offering to the Lord, along with its grain offering, two tenths of an ephah of choice wheat flour mixed with olive oil, as a gift to the Lord, a soothing aroma, and its drink offering, one fourth of a hin of wine. You must not eat bread, roasted grain, or fresh grain until this very day, until you bring the offering of your God. This is a perpetual statute throughout your generations in all the places where you live.
From the places where you live you must bring two loaves of bread for a wave offering; they must be made from two tenths of an ephah of fine wheat flour, baked with yeast, as first fruits to the Lord. Along with the loaves of bread, you must also present seven flawless yearling lambs, one young bull, and two rams. They are to be a burnt offering to the Lord along with their grain offering and drink offerings, a gift of a soothing aroma to the Lord. read more. You must also offer one male goat for a sin offering and two yearling lambs for a peace offering sacrifice, and the priest is to wave them -- the two lambs -- along with the bread of the first fruits, as a wave offering before the Lord; they will be holy to the Lord for the priest.