There were a lot of new words in our lesson today. Can you tell me what they mean?
A lot of new words came up in our lesson today. Do you mind telling me what they mean?
ーThere were a lot of new words in our lesson today. Can you tell me what they mean?
「今日のレッスンで新しい単語がたくさんあった。意味を教えてくれますか?」
「知らない単語」は new words のように言うと良いでしょう。
to mean で「意味する」
ーA lot of new words came up in our lesson today. Do you mind telling me what they mean?
「今日のレッスンでたくさんの新しい単語が出てきた。意味を教えてもらってもいいですか?」
to come up で「出てくる」
ご参考まで!