I see. Okay, you're on the right track. First problem is that you're using forbidden starting material, you can't use anything more than 5 carbons long, right? Your prof deliberately gave you a different material so you couldn't just copy the lecture notes.
I'll just point you in the direction towards the answer. Tautomerize the enol into the ketone. You should have the triketone at that point. Break the ring next to either carbonyl, it doesn't matter because it's symmetric. Then draw that structure and BE CAREFUL to count the carbons so you have the proper number for the linear precursor. You're just breaking a bond so the number of carbons should be the same. This will give you a linear compound with more than 5 carbons. So you'll need to break it again. How can you start with 5 carbons and build it to the proper length? I gave hints earlier, this can all be achieved with aldol and Claisen reactions, although you can also do just aldols and oxidize since the products from aldol additions are alcohols and you need to end up with carbonyls.
Good luck!