"Oh that there were one among you who would shut the doors, that you might not kindle fire on my altar in vain! I have no pleasure in you, says the Lord of hosts, and I will not accept an offering from your hand. For from the rising of the sun to its setting my name will be great among the nations, and in every place incense will be offered to my name, and a pure offering. For my name will be great among the nations, says the Lord of hosts." - Malachi 1:10-11, ESV
Some Bible scholars believe that these verses in Malachi point to the establishment of practicing Communion. The Book of Malachi is believed to have been written after the Babylonians allowed the Jews to return to their homeland around 450 BC. The text illustrates "a pure offering" will be made through Jesus Christ and replace the old system of offerings. Christians take part in the Holy Communion to represent that we have accepted this sacrifice for our sins.
In the Book of Exodus, the Hebrews were told to smear blood on their doorframe to have their firstborn spared from God's plague on Egypt (Exodus 12:7). They were also commanded to eat the Passover lamb with unleavened bread and bitter herbs (Exodus 12:8). These actions mimic what is to come with the new covenant Jesus founds.
Jesus is "the Passover Lamb" (1 Corinthians 5:7) of the new covenant. He instructs us that "Whoever feeds on my flesh and drinks my blood has eternal life, and I will raise him up on the last day," (John 6:58, ESV).