1 Corinthians 5:8 (ESV)

8 Let us therefore celebrate the festival, not with the old leaven, the leaven of malice and evil, but with the unleavened bread of sincerity and truth.

Christ’s sacrifice is an event which is still celebrated in the New Testament version of Passover: the Lord’s Supper (Matthew 26:17–29). This is clearly the festival that Paul is referring to. Possibly, the New Testament church retained the use of unleavened bread for their celebrations of the Supper. This would lend special poignancy to Paul’s words in this verse.

Unrepentant sinners should not be allowed to take part in the Lord’s Supper (see also 1 Corinthians 11:27–31). Paul’s warning goes further than only the specific case of immorality discussed in verses 1 Corinthians 5:1–5. He admonishes the Corinthians to purify themselves from all forms of malice and evil.

The contrast between old dough and unleavened dough corresponds to the contrast which Paul draws elsewhere between the old man and the new man (Ephesians 4:22–24; Colossians 3:9–10).