Sorry for the confusion, but Flutter aren't built to connect to your home WiFi.
The only way to connect it to your home network is with additional hardware, such as the Network Shield:
Network Shield (Flutter Base Station)
The Network Shield connects to your home router and creates a bridge between your mobile devices, the Internet, and Flutter. The Network Shield gives you all the benefits of our mobile app but also lets you use Flutter to interact with the web: send a tweet, log sensor data to the web, or build a web page that controls your real world projects. Giving you a second network in your home with 100x the coverage of your wifi network, the Network Shield is perfect for connecting your projects to each other, your mobile devices, and the web.
This shield features a Texas Instruments wifi module with special SmartConfig setup that lets you connect Flutter to any 802.11b/g wifi network with just a few taps on our mobile app. And also features an ethernet jack for a simple solid connection between Flutter and the outside world.