How does the Passover foreshadow the coming of Jesus as the Messiah?

In 1 Corinthians 5:7, Paul refers to Jesus as "Christ, our Passover", suggesting that the Passover of Exodus somehow foreshadowed the life of Jesus. How specifically does the Passover do this? > Cleanse out the old leaven that you may be a new lump, as you really > are unleavened. For Christ, our Passover lamb, has been sacrificed. 1 > Corinthians 5:7 ESV