〜ために

in order to

States the purpose of an action: "in order to…" or "for…". The purpose is something the subject deliberately works toward.

Readings

How to form it

Put the verb in the dictionary form and add ために. It must be an action the subject chooses to do.
After a noun, add の: 健康(けんこう)のために (for my health).
Both halves of the sentence have the same subject.

日本語(にほんご)を勉強(べんきょう)するために、日本(にほん)に来(き)ました。

I came to Japan to study Japanese.

家族(かぞく)のために働(はたら)いています。

I work for my family.

When the goal is not an action you control — a potential verb, a negative, or a change like なる — use 〜ように: 聞(き)こえるように大(おお)きな声(こえ)で話(はな)す (speak loudly so you can be heard).

〜ようにso that
"So that" — for goals outside your direct control.
〜のにfor (doing)
What something is used for or what it takes: 料理(りょうり)するのに使(つか)う (used for cooking).