-
>> We're going to do a great, a great--
-
we're going to do
a great task today, guys.
-
Am I selling it? Do you believe me?
It's going to be a task that asks you guys
-
to be multi-modal, meaning you're going to
build something, then you're going to
-
gather your data and organize it in a
table, then you're going to use
-
that technology that we've been practicing,
the Desmos, to model your data set.
-
And then you're going to interpret your
data. All the while, we are hoping
-
that you guys are having conversations
that are sharing your own thinking
-
and pushing the understanding of the other
people who you're sitting with.
-
To help those conversations, we have on
your tables, and I know you have these
-
in Miss Grevious’s classroom too, some
group roles.
-
So, I want you to please pause and to take
a look at your own group role and to read
-
the words to yourself about, what are the
questions and contributions
-
that I'm expected to make at my table?
So I know these are familiar to you.
-
They're not new. But I do want to give
an opportunity, if there's any questions
-
or anything you're unsure of for your role
to help support your group today.
-
Okay, great.
-
Then I'm going to pose the problem.
-
The problem is this: you're going to be
given a rectangular grid
-
that is on centimeter paper.
There are, as I've written here,
-
19 centimeters across the top,
25 centimeters along the side.
-
What you're going to be asked to do is to
figure out, how could I use
-
this amount of grid paper to build a box
with the largest volume?
-
So, what I'm going to ask, actually, is
for one student to help me
-
pass out some paper. Don't all jump up at
once. Thank you so much Disyon. Thank you.
-
And right now, you're not going to do any
cutting, but you are going to just
-
get one of these pieces of paper and you
can draw onto it, you would cut squares...
-
Sorry, I need to be more clear. You only
cut squares out of the side.
-
You cannot cut like a rectangle. You
cannot cut something that's a 3 by 2.
-
You need to cut an actual square out,
being a 3 by 3 or a 4 by 4.
-
And you'll cut those out of each side.
No one's going to cut right now.
-
I just want you to have the paper
so you can look at it
-
to help you visualize what you'll do.
Yes, ma'am.
-
>> [background] Are we making a top
to cover the container?
-
>> That's such a great question. Thank you
for asking. We are not making a lid.
-
No lid. So it's an open-top box.
-
Okay, so I'm going to ask you individually
right now. This is not yet time to talk to
-
a partner, but I want you to take a look
at number one, and it asks you
-
to make a conjecture about how to cut
squares from the side of your rectangle
-
so that you would build a box
with the largest volume.
-
Build an open-top box with the
largest volume.
-
Will you please take a moment
on your own to think about it and
-
to write into question one,
what you think.
