How Your Home Network Actually Works
Your Router - The Neighborhood Post Office
Your router is the smartest device in your home network.
It does three main jobs:
Gives out addresses IP addresses) to your devices
Delivers messages between your devices
Connects you to the internet

Detailed home network diagram showing connections between a cable modem, wireless router, game console, computers, and peripherals with labeled cable types.
Example:
When you connect your phone to WiFi:
Phone: "Hi router, I'm new here!"
Router: "Welcome! Your address is 192.168.1.8"
Phone: "Thanks! Now I can talk to other devices and the internet"