This function will get you far:

function goScaledFullScreen()

{

    var screenRectangle:Rectangle = new Rectangle(0,0,stage.stageWidth,stage.stageHeight);

    stage.fullScreenSourceRect = screenRectangle;

    stage.displayState = StageDisplayState.FULL_SCREEN;

    stage.quality = StageQuality.BEST;

}

Independent of your actual monitor resoulution it will scale up any content you might load via loader to the full screen resolution.

It has its limits though: On a Mobile device it won`t reorganize the content if you rotate the device from Landscape to Portrait. Also if you have content that is off-stage you might have to employ masks if the Monitors aspect ratio differs from your presentation one`s.

You can use the Capabilities class to get the actual ResolutionX/ResolutionY of the device that runs your presentation.

You might want to somehow inform your presentation if the resolution gets changed via the Resize Event

If size is not an issue you might prepare your presentation in the best Quality possible (for example HD) because downsizing works in general much better (qualitywise) than upsizing.

If you load images via a loader you should have function that scales the externally loaded pictures dependent on your stageSize.

this could be the function that listens to your Event.Complete:

function imageLoaded(e:Event):void {

    var bit:Bitmap = e.target.content;

    if(bit != null)

    bit.smoothing = true;

    centerMaximized(imageLoader);

}

and center maximized could look like this:

function centerMaximized(dO:DisplayObject):void {

    var scalefactorW:Number=(stage.stageWidth-framesize)/dO.width;

    var scalefactorH:Number=(stage.stageHeight-framesize)/dO.height;

    if (scalefactorW<scalefactorH) {

        dO.scaleX=dO.scaleY=scalefactorW;

    } else {

        dO.scaleX=dO.scaleY=scalefactorH;

    }

    dO.x = (stage.stageWidth-dO.width)*.5;

    dO.y = (stage.stageHeight-dO.height)*.5;

}

You can directly enable bitmap.smooothing for all your pictures in the Library (right-click>Properties)