This wikiHow teaches you how to view your Mac's screen on your Apple TV by using AirPlay. AirPlay requires a Mac built-in 2011 or later, running on Mountain Lion (OS X 10.8) or later, with a second-generation Apple TV or higher connected to a TV set. If your Mac can't connect to your Apple TV via AirPlay, you'll need to use an HDMI cable to connect instead.

If you look to the top right-hand corner of your screen, you'll see a number of icons. The Airplay icon resembles a rectangle with an upward-pointing triangle below it. If you don't see it, open up System Preferences and click on Displays. In the bottom left-hand corner you should see the words "Airplay Display: Off." Simply click Off and change it.

You need the remote to get the Apple TV onto your WiFi network but after that, you can download the Apple TV Remote App on to a mobile device and as long as that device is on the same network as the Apple TV you can control it.

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Thank you for the valuable info! Personally, I'd also add to this article the apps that can wirelessly stream your media to different devices. I've been using for a long time ArkMC(for iPhone/Android) and ArkMS(for Mac). That's better than spend lots of money on adapters or different sorts of cables. Plus, they both work pretty good, haven't noticed any bugs.

Your Mac or MacBook screen can be easily mirrored to Smart TV, Apple TV or Chromecast device. mirror Mac desktop to Chromecast. JustStream works with pretty much any brand including Samsung, Roku, LG, Sony, Panasonic and a huge number of other DLNA-certified devices.