Lore:

There are those few dragons in Runeterra who have mastered the intense magical energies that course through their unique anatomies, evolving into an elusive Celestial Dragon. These powerful and enigmatic creatures spend most of their time hidden away from the lands of men. However, there are those who find themselves drawn to civilization and who take on human forms to immerse themselves in the world of humans. Occasionally, one finds itself drawn to the spirit of a human and they have relations. Sometimes, in the slimmest of odds, the union will bear fruit and that offspring will be one of the few half-dragons to have graced Runeterra. Shyvana is one such creature, born to a simple Demacian farm-girl and her Celestial Dragon father. Left to be raised by her mother, her oddities were something that couldn't be hidden from her community, though she was protected by her family. Once her family had perished in disaster, she was left alone for the first time – truly alone. Shyvana quickly became an outsider and it wasn't long before the community's fear began to put her in danger. Facing mortal danger at the business end of an angry mob, she was rescued by the traveling noble, Jarvan Lightshield. The noble was a man who strangely knew exactly what she was and took her under his wing. It wasn't long before she was offered a chance to use her natural skills in the service of Demacia, as Jarvan initiated her as one of the elite guard. Following Jarvan into the League of Legends was only natural.

Shyvana is a fierce warrior, with the blood of one of the most powerful magical predators in all creation flowing through her veins. Unlike some of her fellows, she is a subdued personality – somber, cool, and collected. However, when the moment strikes, her draconian heritage manifests and there are few that can stare her in the eyes and not feel the primal urge to flee.

“By the blood of my father, I will end you!”

Flash is the first Summoner Skill I use which helps me to aim my ultimate much better which can make or break a team fight. I also use Flash as an escape mechanism in case I'm being ganked, or I just can't go 1v1 against whoever I'm fighting.

Exhaust is the second Summoner Skill i would use with Shyvana. It helps for chasing enemies down with your W, and it will great shut down any of those pesky AD carries on your enemy team.

Pros
Very Fast Attack
Very Mobile
High Dmg Output
Can jungle, as well as lane
Very fast Jungle
Is a beast at CS
SHE IS A DRAGON!

Cons
Kinda Squishy with this build
Targeted First
If you dont use ult right, it can screw your team over

Well hello there this is my first build, I decided to build Shyvana with Tiamats! See i know what your thinking why build Tiamats? Well you see her Q proc the passive for the Tiamat giving it that much more Dmg. Its also really great for jungling, i have been one shotting any of the camps, literally 1 attack for all four minions.. Since I dont build her really tanky you never want to initiate a fight but her ultimate puts out great dmg. So once the fight has already been started you Ult in and start spamming your abilities and auto-attacking. You will see all your opponents health start dropping very quickly,

For Masteries i take 21,0,9 with attack speed and cooldown reduction... the only thing stopping her from more DPS later lvls in her Cooldowns so CDR is really nice but i would recommend building items with CDR, your runes and masteries give you plenty.

Once you get at least one tiamat Shyvanna is a very strong farmer, but untill then you have to watch who your laning against. Since she is melee she has trouble laning against ranged carrys and mages.

Your skill sequence should for farming should be W,Q,Q,Q,Q,W
In team fights you need to R,W,Q,E,Q,all while auto-attack then enemy to destroy their health ars with your Tiamats!

Abilities:

Twin Bite
Shyvana strikes twice on her next attack. Both attacks trigger On-Hit effects and Fury of the Dragonborn effects.
Dragon Form: Twin Bite cleaves all units in front of Shyvana.


Burnout
Shyvana deals magic damage per second to nearby enemies and her Movement Speed is greatly increased for 3 seconds. Shyvana's Movement Speed bonus is reduced over time.
Dragon Form: Burnout scorches the earth, continuing to damage enemies that stand on it.

Flame Breath
Shyvana unleashes a fireball that deals magic damage and melts the target's Armor for 4 seconds.
Dragon Form: Flame Breath engulfs all units in a cone in front of Shyvana.

Dragon's Descent (Ultimate)
Active: Shyvana transforms into a dragon and takes to a target location. Enemies along her path take magic damage and are knocked toward her target location.
Passive: Shyvana reinforces her scales, increasing her Armor and Magic Resist. Defensive bonuses are doubled in Dragon Form.
Fury of the Dragonborn (Passive)
Shyvana's melee attacks enhance her abilities.
Twin Bite - Reduces the cooldown by 0.5 seconds.
Burnout - Extends the duration by 1 second to a maximum of 6 seconds.
Flame Breath - Deals 20% of the ability's damage to debuffed targets.
Dragon's Descent - Attacks generate 2 Fury* and Shyvana passively gains Fury* over time while in human form.