~ます (polite form)

~ます is attached to any verb to make the tone of the speech polite. Aside from changing the tone, it has no meaning. To make the ~ます form of an Ichidan verb simply add ~ます to the verb base. For Godan verbs use the "i" formative followed by ~ます.

Ichidan - Vowel Stem Verbs
-iru 見る [miru] 見ます [mimasu]
-eru 出る [deru] 出ます [demasu]
Godan - Consonant Stem Verbs
-su 話す [hanasu] 話します [hanashimasu]
-bu 飛ぶ [tobu] 飛びます [tobimasu]
-mu 読む [yomu] 読みます [yomimasu]
-nu 死ぬ [shinu] 死にます [shinimasu]
-ku 聞く [kiku] 聞きます [kikimasu]
-gu 泳ぐ [oyogu] 泳ぎます [oyogimasu]
-tsu 待つ [matsu] 待ちます [machimasu]
-u 習う [narau] 習います [naraimasu]
-ru 座る [suwaru] 座ります [suwarimasu]
Henkaku - Irregular Verbs
  する [suru] します [shimasu]
  来る [kuru] 来ます [kimasu]
  行く [iku] 行きます [ikimasu]

It's important to remember that only the last verb of a Japanese sentence displays politeness. Just as you would not use the polite form of an adjective in the middle of a sentence:

Incorrect: あかですシャツをています。 Correct: あかいシャツをています。

You also would not use the polite form of a verb in the middle of a sentence:

Incorrect: くじらましたひとはスミスさんです。 Correct: くじらひとはスミスさんです。