The Joyful Mysteries help us among other things to understand the life and uniqueness of Mary. Created sinless by God to be the vessel of His entrance into the natural world, she is at that intersection of what is human and supernatural. She is not only special but unique in all human history and for all time. There will never be another. In many ways she is the narrator of these mysteries and though there are few quotes attributed to her, she was witness from his birth to his death and beyond that. She nurtured Him, suffered alongside Him. She is mother to the Son of Man and therefore our mother as well.

His mother said to the servers, “Do whatever he tells you.” – John 2:5

Second Joyful Mystery:
The Visitation
“In those days Mary arose and went with haste into the hill country, to a city of Judah, and she entered the house of Zechariah and greeted Elizabeth. And when Elizabeth heard the greeting of Mary, the babe leaped in her womb; and Elizabeth was filled with the Holy Spirit and she exclaimed with a loud cry, ‘Blessed are you among women, and blessed is the fruit of your womb!”‘ (Lk 1:39-42).
Our Father, 10 Hail Marys (contemplating the mystery), Glory be to the Father.

Third Joyful Mystery:
The Birth of Our Lord
“In those days a decree went out from Caesar Augustus that all the world should be enrolled. This was the first enrollment, when Quirinius was governor of Syria. And all went to be enrolled, each to his own city. And Joseph also went up from Galilee, from the city of Nazareth, to Judea, to the city of David, which is called Bethlehem, because he was of the house and lineage of David, to be enrolled with Mary, his betrothed, who was with child. And while they were there, the time came for her to be delivered. And she gave birth to her first-born son and wrapped him in swaddling cloths, and laid him in a manger, because there was no place for them in the inn” (Lk 2:1-7).
Our Father, 10 Hail Marys (contemplating the mystery), Glory be to the Father.

Fourth Joyful Mystery:
The Presentation in the Temple
“And at the end of eight days, when he was circumcised, he was called Jesus, the name given by the angel before he was conceived in the womb. And when the time came for their purification according to the law of Moses, they brought him up to Jerusalem to present him to the Lord (as it is written in the law of the Lord, ‘Every male that opens the womb shall be called holy to the Lord’) and to offer a sacrifice according to what is said in the law of the Lord, ‘a pair of turtledoves, or two young pigeons”‘ (Lk 2:21-24).
Our Father, 10 Hail Marys (contemplating the mystery), Glory be to the Father.

Fifth Joyful Mystery:
The finding of Jesus in the temple
“Now his parents went to Jerusalem every year at the feast of the Passover. And when he was twelve years old, they went up according to custom; and when the feast was ended, as they were returning, the boy Jesus stayed behind in Jerusalem. His parents did not know it … After three days they found him in the temple, sitting among the teachers, listening to them and asking them questions; and all who heard him were amazed at his understanding and his answers” (Lk 2:41-47).
Our Father, 10 Hail Marys (contemplating the mystery), Glory be to the Father.

Source – The Holy See
https://www.vatican.va/content/vatican/en.html