To create a conceptual map and a historical map for the Dark Ages and the Archaic Age of ancient Greece, you must first identify the primary and related concepts for these eras. To create a conceptual map, one must identify a main concept and related concepts and show how they connect to one another. A historical map links various historical eras and reveals their connections. Let's brainstorm some of these for the two eras specified.
The Dark Ages in ancient Greece (c. 1100–750 BC) was indeed a time of metaphoric darkness and significant hardship for the people of Greece. This is a primary concept because it explains the title of the age. Related concepts must show how this darkness played out. For one thing, the population of the area dropped significantly, and people generally lived in nomadic groups and villages and centered their lives around caring for their animals.
Most people were illiterate, and the custom of writing disappeared during this era. There are few written records. Trade, too, fell off, as did contact with the outside world, leaving the Greeks isolated and impoverished. Government also faded as the ruling classes disappeared, blending into the rest of the population. The people organized themselves into tribes with only minimal unity. Indeed, this was a period of isolation and struggle, yet people still managed to survive and lay the foundations for the coming of better days.
Now let's identify some concepts related to the Archaic Age of ancient Greece (c. 750–480 BC). This period is primarily characterized by urbanization and the development of the Greek city-states (polis). The villages of the Dark Ages grew, and some, like Athens, became prominent. Tyrants ruled over the people at this time, but a tyrant wasn't necessarily a negative role. Tyrants were legitimate rulers and more like kings than anything else. They drew the people together even as they exercised stern authority.
Further, cultural activities began to redevelop in this era, with Homer composing the Iliad and the Odyssey during the Archaic Age. Trade grew, too, and contact with the rest of the world increased, bringing expanded wealth in both material goods and ideas.