A 10x10 popup is pretty standard equipment. Hang a tarp from the windward side if you want. Make sure to tie it down well, though, one wind gust will send it flying. A 5-gal bucket of water on each corner will usually be enough, or a good set of tent pegs. Keep an eye out for sale prices, sometimes they can be had pretty cheaply. I'd recommend the straight sided, they have a 10x10 canopy and a 10x10 footprint. The slope sided ones are usually cheaper but have a 10x10 footprint and only an 8x8 canopy.
A tarp strung from your patio overhang or some other structure might be a good temporary solution.
The fun thing is to have 2 10x10s placed side by side, and then it rains. Rain will run down that valley and soak everything, so someone will get the idea that a tarp across the top will help with that, and then rainwater will collect in the tarp in that valley until someone pushes up on the low spot from underneath and then dumps gallons of cold rainwater on someone trying to catch some shuteye in a lawn chair at about 3am. Just sayin'.
edit: Those popups are actually not very sturdy in the rain. They don't usually have a very good tension on the canopy so rain can collect on top. If that happens and you don't push it off once in a while, that frame can twist or collapse.