The question is, if you need parts of the underlying activity, when the second one is open. If not, you can make the small activity with transparent background. In this situation, the user see the lower activity, but clicks dont have any effect. You can also reduce the alpha value or the transparency, so that the user can imagine, that there is something in the background. I made this type last week; then i wanted to click some buttons in the underlying window. For this i made a panel on the second activity, used the touch event and transformed this to the buttons of the first activity.
Greetings
Reinhard