Beyond the practical, these specific parts of the sacrifice held deep symbolic meaning for both priests and the people.
The 'wave breast' and 'heave shoulder' were highly symbolic. The breast, often associated with the heart, represented wisdom, affection, and understanding. The shoulder symbolized strength and ability. When these parts were waved and heaved, it signified that all of God's wisdom and strength were consecrated to Him, and that the people's love and strength were to be directed towards God. For the priests, receiving these parts pointed to the wisdom and strength needed for their sacred duties, and ultimately, to Christ Himself, our perfect High Priest who embodies divine wisdom and power.