I have implemented the Navigation Drawer. This is activity_nav_drawer :
It is a long answer but the way to do it is that use a RelativeLayout instead of FrameLayout and use the FrameLayout in the RelativeLayout.
Here is the nice tutorial to follow with Material Design support
How To Make Material Design Sliding Tabs
Don't worry about ToolBar (if you are not using one) and do changes as per your need!
Hope that will help you and let me know if you get any error! Cheers