To start jungling Shyvana i start out at the golem camp first. Smite one golem, and don't forget to use your burnout. After that proceed to wraiths, then wolves, the do blue buff when you get your health over 450 to be safe. After you finish recall and you sohuld be leftover with one health potion. Buy boots and more health potions. go back to golems, save your smite for the red buff later on. Then to wraiths then wolves again. Go get red buff and you should now be level 5. look for ganking opportunities. Go help a lane till your level 6. 700g for madred's razor. Go back and buy your wriggles if the gank was successful; if not get madred's razors and a few health potions. Keep repeating steps until you have your wriggles and berserker's greaves. You can now do Dragon around level 8. Use your ult and make sure to bring one health potion. Having help is great if you can get it for dragon. After following the steps help out your teammates where mostly needed. (ganks and/or pushing towers) If you play smart your jungling and ganking will make you fed with few kills and a lot of minions slain.

Build Usages
Building attack speed will improve her passive's efficiency.
Building on-hit effects will allow Twin Bite to deal a surprising amount of burst.
Shyvana lacks CC when not counting her Dragon's Descent. Try building items like Phage or items that are built from it to be effective with a source of CC.
Phage and the items that build from it also help her to be more tanky. Thus allowing her to better stay on her target.
Rylai's Crystal Scepter grants Shyvana a effective sorce of CC allowing you to slow a great number of enemies by just activating Burnout in both: human form and more effective at dragon form by scorching the ground and slowing enemies behind you, allowing you to chase well, thanks to your extra movespeed.
Aegis of the Legion synergizes with Shyvana's Dragon's Descent pasive, grating you a lot of survivability at small cost in early game.

Twin Bite (Active): Shyvana next autoattack will strike twice in one swift movement. The second attack will deal physical damage equal to a percentage of her total attack damage. Both attacks will trigger on-hit effects and Fury of the Dragonborn effects.
Dragon Form: Twin Bite will damage all units in front of Shyvana when she uses her next autottack instead of just her target. Each unit hit will be dealt on-hit effects and grant Fury twice.
Fury of the Dragonborn: Each auto attack reduces the cooldown by 0.5 seconds. This doesn't work on structures.

Cooldown: 10 / 9 / 8 / 7 / 6 seconds
Second Strike Damage: 80 / 85 / 90 / 95 / 100 % of attack damage


Burnout (Active): During the next 3 seconds, Shyvana will deal magic damage each second to nearby enemies and her movement speed will be greatly increased. Shyvana's movement speed bonus itself will be reduced multiplicatively by 15% for every second that passes.
Dragon Form: Shyvana now scorches the earth where she walks, leaving a trail of fire for 5 seconds that will continually deal magic damage to enemies that pass over it.
Cooldown: 12 seconds
Fury of the Dragonborn: Each auto attack extends the duration of Burnout by 1 second to a maximum of 6 extra seconds. This works on structures.
Magic Damage Per Second: 25 / 40 / 55 / 70 / 85 (+0.2 per bonus attack damage)
Initial Movement Speed Bonus: 30 / 35 / 40 / 45 / 50 %


Flame Breath (Active): Shyvana unleashes a fireball forward in a line that will hit the first enemy it hits, dealing magic damage to it and debuffing them by reducing their armor by 15% for 4 seconds.
Dragon Form: Flame Breath engulfs all units in a cone in front of Shyvana.
Fury of the Dragonborn: Each autoattack that hits debuffed targets will deal 15% of the ability's damage as extra magic damage.

Cooldown: 12 / 11 / 10 / 9 / 8 seconds
Magic Damage: 80 / 125 / 170 / 215 / 260 (+0.6 per ability power)


Dragon's Descent (Passive): Shyvana reinforces her scales, increasing her armor and magic resistance. These defensive bonuses are doubled while in Dragon Form.
(Active): Shyvana transforms into a dragon and dashes to a target location. Enemies along her path take magic damage and are pushed toward her target location.
This ability has no cooldown but to use it, Shyvana needs 100 Fury. Shyvana generates 1 Fury every 1.5 seconds while on normal form. While in Dragon Form, she will lose 6 fury every second and once the Fury bar is empty she will return to her normal state.

Fury of the Dragonborn: Each of her autottacks will generate 2 Fury. This will allow for Shyvana to prolong the duration of Dragon Form by attacking.

Passive Armor and Magic Resistance Bonus: 15 / 20 / 25
Magic Damage: 200 / 300 / 400 (+0.7 per ability power)

Shyvana's abilities don't have any cost related to them, so the use of her abilities is only limited by cooldowns. Instead she uses Fury as her secondary bar.
Fury is only needed as a requirement for the use of her ultimate, which allows her to change form if she has 100 Fury and remain in that state for as long as she has enough Fury. Shyvana won't generate Fury unless she has at least one point in Dragon's Descent, and once she puts the first point on the skill she will fill the bar immediately. Any gained Fury will not be lost until her ultimate is used.