Use the Sample Dialog to guide your discussion of repeated
patterns.
Teacher (holding up John's pattern) Who has a pattern that
looks like John's?
Nila: I do. Mine is just like John's only with different letters.
Teacher: Why do you think your pattern is the same, Nila?
Nila: Maybe because we both had the same amount of
letters?
Teacher: Okay, so when you wrote your name on the grid,
what happened?
Nila: We both had four letters and both stopped at the same
place. Then we colored the last letter. Our names
stopped at the same place and our pattern looks the
same.
Teacher: That's correct. Did anyone else have the same
pattern?
Luis: I did. So did Maya.
Teacher: What would happen if someone named Joe joined
our class? [writes Joe on the board] Who can predict
what Joe's pattern would look like?
Ana: I can, because I have three letters and Joe has three
letters. It would look like mine. Mine looks like stair
steps.
Teacher: Yes, that's good Ana. You first look to see how
many letters are in the name. We call the stair steps
pattern a diagonal. Ana's grid has a diagonal pattern.
Does anyone else have a diagonal pattern?
Jeanette: Mine does. I have nine letters.
Teacher: Yes, both of you have a diagonal pattern.
Jeanette, yours almost covers a full row, so as you
continue on, it makes a diagonal. Let's look at a
different pattern. Tonya, what happened with yours?
Can you hold it up for us?
Tanya: Mine wasn't really a pattern. It just had two straight
lines up and down.
Teacher: [holding up Tanya's] But this is still a pattern,
Tanya, even though it just looks like two vertical
lines, which are lines going up and down. We call
these columns. Can someone tell us why Tanya's
pattern looks like this?
Frank: I know why. Mine looks the same. It's because I didn't
have to go into the next row to write my name. I could
write it two times across the top. It fits just right. It is
only five letters and 5 plus 5 is 10.
Teacher: That's right, Frank. This grid has ten spaces
across each row. Frank and Tanya's names have five
letters so they both fit exactly two times in each row.
The last letter is always right underneath the last
letter in the line above. That didn't happen with the
other names.