Hello and welcome to my Syndra guide I hope you enjoy and learn something about her! First thing that I have to tell you is that she is a little bit hard to play but with some practice you gonna get better with her or so I hope xd.
]A little bit about me: I am a Portuguese player and Syndra was my first 6300 Ips champion and like the third one that I played in League of Legends. I am not a Lcs player or a pro player cause I am only bronze II :( yeah... I know I suck xd but anyway I am gonna try to help you all with some information about this amazing champion so you can become a better player with her :)
(P.s: If I write something wrong in English pls tell me cause my English is not 100% correct xd.)

Pros:
+Op Ultimate( Unleashed Power);
+Op Burst with Dfg;
+Pretty good passive;
+Nice CC with Force Of Will and Scatter The Weak;
+Awesome Poke;
+Pretty hard to play against;
+She is goth or i think so xd;
+Nice hair;
+Awesome skins;
+Some AoE-Damage and a Gigantic Single-Target Damage;
+She is Op :)))))))).


Cons:
-Three SkillShots Dark Sphere, Force of Will and Scatter the Weak;
-Vulnerable to high CC and high Mobility;
-Its pretty hard to TeamFight with her(TO MANY BALLS XD);
-In the beginning she is very hard to play;
-You gonna get frustrated quite few times with her :(.

• Greater Quintessence of Ability Power: To start the game with some Ap(damage) to be more likely to you get the first blood .
  
• Greater Mark of Magic Penetration: The Magic Penetration is useful for Syndra skills, as she is an AP Caster less MR they have more Magic Damage you do.
  
• Greater Glyph of Magic Resist: A little bit of MR in the start helps you surviving and be a litle more tank against early high burst or poke champions like Nidalee LeBlanc, etc....
  
• Greater Seal of Mana Regeneration: Spamming your ability's may cause quick mana depletion, so mana regeneration is a awesome choice.

Some info about Syndra Abilities and what you should do with them.

Transcendent

Each of Syndra's normal abilities gain an extra effect at max rank.

Dark Sphere: Deals 15% bonus damage against enemy Champions
Force of Will: Increases the slowing duration by 33%
Scatter the Weak: Cone width increased by 50%
Unleashed Power: Increases range by 75

At level 9 your poke with Dark Sphere is Huge.

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Dark Sphere

Cost: 40/50/60/70/80 Mana
Range: 800 (http://cdn.leagueoflegends.com/champion-abilities/videos/mp4/0134_02.mp4)

Syndra conjures a Dark Sphere dealing magic damage. The sphere remains and can be manipulated by her other powers.
Conjures a Dark Sphere dealing 70/110/150/190/230 (+60% Ability Power) magic damage. The sphere remains for 6 seconds and can be manipulated by Syndra's other abilities.This spell can be cast while moving.

It´s a great ability for kiting

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Force of Will

Cost: 60/70/80/90/100 Mana
Range: 925 (http://cdn.leagueoflegends.com/champion-abilities/videos/mp4/0134_03.mp4)

Syndra picks up and throws a Dark Sphere or enemy minion dealing magic damage and slowing the movement speed of enemies.
First Cast: Grabs target Dark Sphere or enemy minion. If no target is selected, grabs nearest Dark Sphere.
Second Cast: Throws the Dark Sphere or enemy minion. Enemies hit take 80/120/160/200/240 (+70% Ability Power) magic damage and are slowed by 25/30/35/40/45% for 1.5 seconds.This spell can be cast while moving.

Kiting For The Win Dark Sphere + Force of Will that gives them slow and it´s a nice way to get out of bad situations.

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Scatter the Weak

Cost: 50 Mana
Range: 650 (http://cdn.leagueoflegends.com/champion-abilities/videos/mp4/0134_04.mp4)

Syndra knocks enemies and Dark Spheres back dealing magic damage. Enemies hit by Dark Spheres become stunned.
Knocks enemies and Dark Spheres back dealing 70/115/160/205/250 (+40% Ability Power) magic damage to them and any enemies they collide with.Dark Spheres that are knocked back stun all enemies in their path for 1.5 seconds.

You can use this to cancel Gap-Closers like Riven Valor, LeBlanc Distortion or Lee Sin Resonating Strike after he landed Sonic Wave on you or to stun people with your Dark Sphere

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Unleashed Power

Cost: 100 Mana
Range: 675 (http://cdn.leagueoflegends.com/champion-abilities/videos/mp4/0134_05.mp4)

Syndra bombards an enemy Champion with all of her Dark Spheres.
Draws upon Syndra's full cataclysmic power, harnessing all Dark Spheres to deal magic damage to target enemy Champion. Unleashed Power manipulates the three Dark Spheres orbiting Syndra, in addition to Dark Spheres previously created.
Damage per sphere: 90/135/180 (+20% Ability Power).
Minimum total damage: 270/405/540 (+60% Ability Power).

Don´t forget to have three or more balls on the ground and use Dfg first to do even more damage

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Ability Explanation

I max out first Dark Sphere to have more poke damage next I max out Scatter the Weak to reduce the cooldown and to have a higher AoE Damage so I can be more safe( Jungler comes I stun him and run for my life or you can try to kill him or even try to get a double kill idk) and play more aggressive every time I land a stun on the enemy for last I max out Force of Will and I put a point into Unleashed Power every time I can(level 6, 11 and 16).

P.s:If you want you can max out Force of Will second and Scatter the Weak third but I prefer to max out Scatter the Weak second not third for me stun is better than slow or you can even put a point in each one like you pout a point in Scatter the Weak then you put another in Force of Will and you go like that until they are max out but I don´t recommend this cause you are wasting Syndra passive.

Born with immense magical potential, Syndra loves nothing more than exercising the incredible power at her command. With each passing day, her mastery of magical force grows more potent and devastating. Refusing any notion of balance or restraint, Syndra wants only to retain control of her power, even if it means annihilating the authorities that seek to stop her.
Throughout her youth in Ionia, Syndra's reckless use of magic terrified the elders of her village. They took her to a remote temple, leaving her in the care of an old mage. To Syndra's delight, the mage explained that the temple was a school - a place where she could develop her talents under his guidance. Though she learned much during her time there, Syndra no longer felt her power growing as it had in her youth. Her frustration grew, and she finally confronted her mentor, demanding an explanation. He revealed that he had dampened Syndra's magic, hoping to help her learn control and restraint. Accusing him of betrayal, she advanced on the mage, commanding him to lift the spell that was holding her back. He backed away, telling her that if she couldn't control herself, he would be forced to nullify Syndra's magic completely. Furious, she summoned her power and dashed the old man against the walls. With her mentor dead, Syndra felt the rush of her unbounded potential for the first time in years. Though she had won her freedom, she refused to return to the society that had tried to steal her gift. Instead, Syndra decided to claim her former prison as a stronghold. Pushing the boundaries of her magic, she tore the structure from its foundations and raised it into the sky. Free to delve further into her art, Syndra now aims to grow powerful enough to destroy the weak, foolish leaders of Ionia - and anyone else who would dare to shackle her greatness.

"Power belongs to those who can wield it.''
-- Syndra

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Friends: Zed
Rivals: Irelia and Karma

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Champion Spotlight: https://www.youtube.com/watch?feature=player_embedded&v=YqI7N2R8tx4

Original Syndra

I like Syndra default skin cause she looks like a goth and I love associating Dark Sphere in this skin to Black Holes :);

Justicar Syndra

This is my favorite Syndra skin cause she looks like a Light Angel or something like that and like the default one i associate in this skin Dark Sphere to Suns xd;

Atlantean Syndra

This is the new Syndra skin so i dont know a lot about her cause i dont have it yet xd but she looks nice and I love the ability animation that she has in this skin.

Syndra is a prety funny champion to play if you like a champion with tons of damage that can kite a lot and with a amazing burst that can change the end of a game.If you have any comments, questions or queries about my guide, please don't hesitate to ask any questions.

This is where you and your team should put wards.

Yellow: This wards protect your precious blue and red buff.
Blue: For protection depending on which lane you are on.
Red: To have vision of Dragon and Baron.
Orange: If you want to steal the blue or red buff with Force of Will.

I hope you have enjoyed my Syndra guide don´t forget to tell me if you see something wrong or if want to me to add something that is missing in the guide and this guides is not finished yet i gonna add a lot more stuff in the future like Masteries, Combos, TeamFight Technique, Lane, Info about the runes and some visual/graphics updates xd :).