The smoke of the incense, together with the prayers of the saints, went up before God from the angel's hand. Revelation 8:4
Man is in search of God. In the act of creation, God calls every being from nothingness into existence. "Crowned with glory and honor," man is, after the angels, capable of acknowledging "how majestic is the name of the Lord in all the earth." Even after losing through his sin his likeness to God, man remains an image of his Creator, and retains the desire for the one who calls him into existence. All religions bear witness to men's essential search for God. CCC 2566
God calls man first. Man may forget his Creator or hide far from his face; he may run after idols or accuse the deity of having abandoned him; yet the living and true God tirelessly calls each person to that mysterious encounter known as prayer. In prayer, the faithful God's initiative of love always comes first; our own first step is always a response. As God gradually reveals himself and reveals man to himself, prayer appears as a reciprocal call, a covenant drama. Through words and actions, this drama engages the heart. It unfolds throughout the whole history of salvation. CCC2567
When Jesus prays he is already teaching us how to pray. His prayer to his Father is the theologal path (the path of faith, hope, and charity) of our prayer to God. But the Gospel also gives us Jesus' explicit teaching on prayer. Like a wise teacher he takes hold of us where we are and leads us progressively toward the Father. Addressing the crowds following him, Jesus builds on what they already know of prayer from the Old Covenant and opens to them the newness of the coming Kingdom. Then he reveals this newness to them in parables. Finally, he will speak openly of the Father and the Holy Spirit to his disciples who will be the teachers of prayer in his Church.CCC2607
From the Sermon on the Mount onwards, Jesus insists on conversion of heart: reconciliation with one's brother before presenting an offering on the altar, love of enemies, and prayer for persecutors, prayer to the Father in secret, not heaping up empty phrases, prayerful forgiveness from the depths of the heart, purity of heart, and seeking the Kingdom before all else. This filial conversion is entirely directed to the Father.
Thanksgiving characterizes the prayer of the Church which, in celebrating the Eucharist, reveals and becomes more fully what she is. Indeed, in the work of salvation, Christ sets creation free from sin and death to consecrate it anew and make it return to the Father, for his glory. The thanksgiving of the members of the Body participates in that of their Head.CCC2637