The Hebrew word for "planted" (נָטַע - natah) occurs just three times in Genesis, and the instances of the word tell an entire story.
First, God plants a garden in preparation for man. The garden is for us, and for our good.
The Lord God planted a garden toward the east, in Eden; and there He placed the man whom He had formed. Genesis 2:8 (NASB)
Later, Noah plants a vineyard, and rather than give any sort of nod to the God who both creates and destroys, Noah gets drunk off the fruit of his labor, causing all kinds of problems. In fact, the text literally states that Noah becomes a husband to the land, which hints at Noah's heart. Perhaps he tilts towards the creation rather than the creator, losing sight of way God intended for us to enjoy the fruit.
Then Noah began farming and planted a vineyard. He drank some of the wine and became drunk, and uncovered himself inside his tent. Genesis 9:20-21 (NASB)
Finally, Abraham plants a tree, and afterwards, he immediately calls God "El Olam." God Everlasting. The tree becomes a symbol of remembrance, always pointing to who God is, and what God desires for us.
Abraham planted a tamarisk tree at Beersheba, and there he called on the name of the Lord, the Everlasting God. Genesis 21:33 (NASB)
This is a theological framework: God gives an example of what to do and why to do it. It is all for our good. However, we often go about it the wrong way and for the wrong reasons, leading to horrific consequences.
Abraham, on the other hand, is the example of remembering: God does things for our good, and when we do those things, we should always remember the God who blesses us through it.