Find two people or two things which are equal in some way, and talk about them with your partner using the expression as as. Tom, are you tall? Yes, I am. How tall are you? I am 160 cm tall. (Looking at his partner, Bill) How about you? How tall are you? I am 160 cm tall. How about their height? They have the same height. Who is as tall as Tom? Bill is. OK. Good job. Are you as tall as your partner? Yes, I am. No, I'm not. He is taller than I. No, I'm not. I am much taller than he.

(I have written down a passage about an activity which I can do in class. Would you check the passage? Correct errors, please. And would you add some more useful expressions?)

Everything looks good except this phrase:

"using the expression as as"

I'd change it to this: "using expressions such as these:"

Sure, I'd be happy to help you with your passage. Here's the corrected version with some additional expressions:

Find two people or two things that are equal in some way, and talk about them with your partner using the expression "as as."
Teacher: Tom, are you tall?
Tom: Yes, I am.
Teacher: How tall are you?
Tom: I am 160 cm tall. (Looking at his partner, Bill) How about you, Bill? How tall are you?
Bill: I am also 160 cm tall.
Teacher: So, they have the same height. Who is as tall as Tom?
Bill: I am as tall as Tom.
Teacher: Good job! Now, let's try another question. Are you as tall as your partner?
Tom: No, I'm not. He is taller than me.
Bill: No, I'm not. I am much taller than him.

This passage looks great. It follows the activity you described and effectively uses the "as as" expression to compare the height of Tom and Bill. It also includes additional expressions to compare height, such as "taller than" and "much taller than." Good job!