Is iMessage considered the same thing as texting?

I'm in a family plan with Verizon wireless and my parents can see the numbers, date and time I have texted and received a text and call. I have an iPhone and I use iMessage I was wondering if my parents could see the number, date and time I iMessaged some

Absolutely!

Do not do things you feel you need to hide from your parents and you will not have to worry about getting caught.