How should we pray?

I'm leading a prayer group online Monday nights before BSF. I picked up these gems from GotQuestions.org

Prayer type	Explanation
Faith	The prayer of faith: James 5:15 says, “And the prayer of faith will save the one who is sick, and the Lord will raise him up.” In this context, prayer is offered in faith for someone who is sick, asking God to heal. When we pray, we are to believe in the power and goodness of God (Mark 9:23).
Thanksgiving	The prayer of thanksgiving: We see another type of prayer in Philippians 4:6: thanksgiving or thanks to God. “With thanksgiving let your requests be made known to God.” Many examples of thanksgiving prayers can be found in the Psalms.
Worship	The prayer of worship: The prayer of worship is similar to the prayer of thanksgiving. The difference is that worship focuses on who God is; thanksgiving focuses on what God has done. Church leaders in Antioch prayed in this manner with fasting: “While they were worshiping the Lord and fasting, the Holy Spirit said, ‘Set apart for me Barnabas and Saul for the work to which I have called them.’ Then after fasting and praying they laid their hands on them and sent them off” (Acts 13:2-3).
Request	The prayer of request (or supplication): We are to take our requests to God. Philippians 4:6 teaches, “Do not be anxious about anything, but in everything by prayer and supplication with thanksgiving let your requests be made known to God.” Part of winning the spiritual battle is to be “praying at all times in the Spirit, with all prayer and supplication” (Ephesians 6:18).
Intercession	The prayer of intercession: Many times, our prayers include requests for others as we intercede for them. We are told to make intercession “for everyone” in 1 Timothy 2:1. Jesus serves as our example in this area. The whole of John 17 is a prayer of Jesus on behalf of His disciples and all believers.
Consecration	The prayer of consecration: Sometimes, prayer is a time of setting ourselves apart to follow God’s will. Jesus made such a prayer the night before His crucifixion: “And going a little farther he fell on his face and prayed, saying, ‘My Father, if it be possible, let this cup pass from me; nevertheless, not as I will, but as you will’” (Matthew 26:39).