Something to think about since you said you just started.
A former leader of mine once said that you should eat all of your points when you are starting out, think about this, when you lose weight you will be getting less points. You may not lose as fast in the beginning, but you are in it for life, so don't cheat yourself out of your future points. That was her philosophy, she's been in awesome shape for many years, so I'd say it works.
If you don't eat enough your body will think you are starving it and go into storage mode instead of burning mode like you want it to. If you're hungry all the time, you're probably not eating enough, listen to your body, maybe you're lacking some vitamin/nutrient that is making you feel hungry.
Also, make sure you're drinking your water, sometimes thirst can be mistaken for hunger.
Oh yeah, and don't forget about the healthy eating guidelines...
Just some ideas, best of luck to you!