While it must be taken in context 'predestination' is a New Testament term. These are the verses that use that term:
For to do whatsoever thy hand and thy counsel determined before
G4309 to be done. (Acts 4:28)
For whom he did foreknow, he G4309 also did predestinate G4309 to be conformed to the image of his Son, that he might be the firstborn among many brethren. (Romans 8:29)
Moreover whom he did predestinate, G4309 them he also called: and whom he called, them he also justified: and whom he justified, them he also glorified. (Romans 8:30)
But we speak the wisdom of God in a mystery, even the hidden wisdom, which God ordained G4309 before the world unto our glory (1 Corinthians 2:7)
Having predestinated G4309 us unto the adoption of children by Jesus Christ to himself, according to the good pleasure of his will (Ephesians 1:5)
In whom also we have obtained an inheritance, being predestinated G4309 according to the purpose of him who worketh all things after the counsel of his own will (Ephesians 1:11)
It's virtually synonymous with being 'ordained' or 'foreknown'. Whatever it is, it comes from the mind of God. "I make known the end from the beginning, from ancient times, what is still to come. I say: My purpose will stand, and I will do all that I please." (Isaiah 46:10). Much is included in the foreknowledge and predestination of God in Christ:
The people of God in the New Testament, like Israel in the Old Testament, have a destiny to fulfill. They are appointed to have an inheritance ( Matt 25:34 ), to receive God's kingdom ( Luke 12:32 ), to have "the hope of glory" ( Col 1:27 ), which is "eternal life" ( Acts 13:48 ). This appointed destiny for God's people can also be spoken of as their being chosen to be born anew ( James 1:18 ), to gain salvation ( 2 Thess 2:13 ), and to be adopted as children of God through Christ ( Eph 1:5 ). In terms similar to those applied to Israel, the people of God in the New Testament are chosen to be holy, to be obedient, to live to God's praise ( Ephesians 1:6 Ephesians 1:11 Ephesians 1:12 Ephesians 1:14 ; 2 Tim 1:9 ; 1 Peter 1:2 ), and, going beyond anything in the Old Testament, "predestined to be conformed to the likeness" of God's Son ( Rom 8:29 ). In practical terms Ephesians 2:10 says that "we are created in Christ Jesus to do good works, which God prepared in advance for us to do." (
Predestination)