Jesus is identified as the "Son of God" in the Gospels, for example:

The beginning of the gospel of Jesus Christ, the Son of God. -- Mark 1:1 (ESV)

And I have seen and have borne witness that this (Jesus) is the Son of God. -- John 1:39 (ESV)

Now Jesus did many other signs in the presence of the disciples, which are not written in this book; but these are written so that you may believe that Jesus is the Christ, the Son of God, and that by believing you may have life in his name. -- John 20:30

And we have many scriptures that refers to Jesus as the "son of man" (Matthew 8:20; 9:6; 10:23; 11:19; 12:8, 40; 13:41; 16:13,27,28; 17:9,12,22; 18:11; 19:28; 20:18; 20:28; 24:27,30,37,29,44; 25:13,31; 26:2,2445,64; Mark 2:10,28; 8:31,38; 9:9,12,31; 10:33,45; 13:26; 14:21,41,62; Luke 5:24; 6:5; 7:34; 9:22,26,44,56,58; 11:30; 12:8,10,40; 17:22,24,30; 18:8,31; 19:10; 21:27,36; 22:22,48,69; 24:7; John 1:51; 3:13,14; 5:27; 6:27,53,62; 8:28; 12:23,34; 13:31; Acts 7:56; Revelation 1:13; 14:14)

The Trinitarians are quick to point out that this proof that Jesus was 100% God and 100% human.

However, this conclusion cannot be made unless one understand the meaning of the two concepts:

• The Son of God simply means a person that is considered God's son. It could be someone made directly by God like Adam or the angelic beings, but it could also mean someone that is adopted as a son by God like the believers.
• The son of man also has 2 possible meanings:
  • In the Hebrew Old Testament this phrase is simply used to describe a human (Numbers 23:19; Job 25:6; 35:8; Psalm 8:4; 80:17; 144:3; 146:3; Isaiah 56:2; Jeremiah 49:18,33; 50:40; Ezekiel 2:1,3,6,8; 3:1,3,4,10,25; Daniel 8:17; etc.)
  • In the Greek New Testament this phrase is mostly used to refer to Jesus, except Hebrews 2:6 which quotes Psalm 8:6-8.

So there are no contradiction that someone could be both "the Son of God" (a child of God) and "the son of man" (a human) as God also created humans and adopts humans as his children.

Jesus was not the first person who called God "my Father":

“I said, 'How I would set you among My sons, and give you a pleasant land, a heritage most beautiful of all nations.'

And I thought you would call Me, 'My Father', and would not turn from following Me.

Surely, as a treacherous wife leaves her husband, so have you been treacherous to Me, O house of Israel", declares the LORD (YHVH).

-- Jeremiah 3:19-20 (ESV)

Have we not all one Father? Has not one God created us? -- Malachi 2:10 (ESV)

The argument that Jesus is called both "the Son of God" and "the son of man", does not proof that he was the Almighty God in flesh or some sort of God-man or demi-God or the like. If that was true, then all believers would also have god status because they are also called "sons of god" (Matthew 5:9; Galatians 4:4-7; Romans 8:14,16-17; Ephesians 1:5; Corinthians 6:18).