Not Updated For Current Season
This is a my favourite way to play ryze. Buying boots of speed as first item, trying to get FB by ganking and using spell flux.
Upgrade your boots of speed to specific boots. Depending on the enemy team, this can be 'boots of swiftness, sorcerers boots, ninja tabi, or mercury threads'.
After these boots, you wanna buy 2 Manamunes, giving you a lot of mana + some Attack Damage to farm minions faster. Using this mana to get a lot of Ability Power is a must, so get Archangel's staffs.
I go for a 0/9/21 Mastery tree, giving urself more mana as much as you can, which will (together with the 2 manamunes) benefit the use of archangel staffs.
Since you are a low HP mage character, your team might need a Tank + a melee DPS champ.
That will do, I hope you're gonna have fun with this guid. I wish you good luck: 'Good luck!!' -,-