Question

I will distribute a piece of paper to each of you. Hand down the pieces of paper (In a line composed of two people in each row.). Pass them to the students back. Do you have a piece of paper? OK. Write down your name on the paper. Then take the paper attached to the double-edged tape. Then you can paste the paper on your left chest. Are you done? All right. Let's do the Introducing Game.
-----------------------------
Is my explanation grammatical?
Would you let me know more useful expression?

Answer 1

I'd delete the second sentence. The first and third sentences give all the needed instructions.

Use "double-sided" instead of "double-edged" tape.

Instead of "paste," the word "attach" is better.

"Let's <b>play</b>..." -- not "Let's do..."

Everything else looks good.

=)