Core Classroom Math Activty Using Paper: T1I S1 E14

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Hey,

Cheri Dotterer: everybody.
Listen in while Jonily does a

hear me teach segment with
second grade with paper folding.

Unknown: Here we are, grade two.
Couple of directions. Leave your

folder closed. Leave your folder
closed, and you should all have

a strip of paper, and if you do
not go ahead and raise your

hand, I'll bring you one. Did
you get an extra? Oh, sorry.

Thank you. What we're going to
do today is get a little more

formal with our paper folding,
because we're going to need this

for the beginning of next year.
So this is going to become one

of the most important things
that we do next year in third

grade. So you have your paper
strip, and I want you to stay

with me today. I want you to
take your time really embrace

what we're doing. How many paper
strips do you have? Tell me one.

So we're always starting with
one paper strip. So the number

that we start with is one. How
many parts are there on here? If

we pretended that we were going
to split this up in parts later.

How many parts are we starting
with Priscilla? We're always one

one. We're starting with one
part one, paper strip, one part

one, candy bar, one sandwich
one. So we have the number one.

There you go, perfect. But how
many do you have? That's the

point. That's the point. We've
got one and we have not split it

into pieces yet. Now open your
ears and listen very carefully.

Touch your paper end to end. Try
to be very exact. Touch your

paper end to end, and you're
going to pinch fold, make a

crease right in the middle, if
the ends are lined up, and

you're going to pinch fold.

So make sure those ends are
lined up. Try to be very exact.

And pinch the middle the center
fold. Make a crease when we open

this up. Now, Priscilla, when we
open this up, how many parts

now, there you go. We started
with one part one, paper strip.

We open this up and we have how
many parts two. Now, when I have

you do this on your own. So in
February and March, we're going

to come back to paper strips a
little more often. When I have

you do this on your own,
whenever you do any of these

actions with the paper strip, we
are going to document the number

of parts. How many parts did we
start with? Tell me one we

started with one part, and how
many folds did we do?

So when I gave you your paper
strip, when I gave you your

paper strip and it looked like
this,

how many folds were there when
you first got it? Tell me no.

How many parts? Tell me one, but
how many folds were there when I

gave this to you? Zero. So I
want you to be very specific.

Before we did any folds, we had
one part, so we row. So I want

you to be very specific before
we did any fold, we had zero

folds, we had one part. This
doesn't sound like a big deal,

but this is a big deal
mathematically. It doesn't sound

like it's very important, and it
doesn't sound like it's too

difficult, but it is very
difficult. Raise your hand to

tell me, what is this zero mean?
What does this zero mean? Cora,

oh, no, the zero doesn't mean
zero parts. When I first gave

you this, when you started with
a paper strip, tells us the

starting.

The zero tells us the start. How
many times did we fold it zero?

So raise your hand to tell me
what the zero means. Priscilla.

Zero folds zero actions. I did
zero things to it. I And when I

did zero things, how did I get
one? What does one mean? Cora, I

folded it zero times. I have a
paper with no folds. So Cora,

what is the one mean part? We
see one space here, one sub, one

candy bar, one stick of gum,
whatever it is, okay. Now what

we need to talk about today is
the value. Now I'm going to tell

you what this means. We've been
doing values. When you guys

remember you saw the dominoes
and there were a bunch of twos,

what's the value of that
picture? Tell me on 31236, the

value tells us what number
represents. So the value, when I

have one part, what's the value
of one? Value? Don't make it

don't make it too hard. One, the
value of one is one. So I had

one part, and the value is one
whole paper strip, one whole

paper strip. Now, y'all with me
right now? You feel like you're

losing focus and getting bored.
You're like, yeah, we get it.

010101, let's move on. But this
is very important to understand

what's happening. I'm going to
have some of you say it again.

Tell me. Tell me about the stuff
on the board. Tell me about the

stuff on the board. Catherine,
now wait listen to this.

Jackson, regroup. Go ahead.
Catherine, how are

you to start and it is the
amount of folds that we started

with. Love it.

What else can you tell me about?
What is on the board

that you said that the start is
with zero parts, one, value one,

one part is one, and that, I
guess, that you put three dice

and you made six, and

that has nothing to do with our
paper strip. What did this? What

was I trying to tell you with
that? What word was I trying to

explain the value, the value
very good. What else can you

tell me about what we just did?
What else can you tell me about

what we just did? Everly? What
were. You gonna say, or did it

pass? You want to say something?
Or no, no, okay. Priscilla, so

else can you tell me about what
we just did? Everly, what were

you gonna say? Or did it pass?

You want the parts? Yeah. So
when you fall, when you had it,

it was only one big strip,

correct. How many parts was
that? And then we did one

action. We did one action. What
was our action that we did? How

many parts was that? And then we
did one action. We did one What

was our action that we did?
Everly we folded, what was our

action that we did? Everly we
folded, what was our action? So

when we now open it up after
this one action, go ahead and

open it up. How many parts do I
have? Tell me good. I have two

parts now. Nothing fancy about
that, nothing fancy about that.

I have two parts. This is the
important piece. Raise your hand

to tell me, what is the value of
one of these parts? I have two

parts, but I do not have to. I
didn't create two candy bars. I

don't have two sandwiches. I
don't have two sticks of gum. I

still have one. The value, even
though there's two parts, the

value of this paper strip is
still one. So when I split it,

when I folded it, when I did
this action, what happened to

the value Riley, how much is
this part worth? Take less. So I

need a number less than one that
describes the value of this

part. So listen again. I started
with one paper strip. I did an

action, I folded. I ended up
with two parts, but I do not

have two sandwiches. Let me ask
a different question. First,

raise your hand to tell me what
a value of two would look like.

Let me ask a different question.
First, raise your hand to tell

me what a value of two would
look like. Let me ask a

different question. First, raise
your hand to tell me what would

a value of two. Look like
Warren. What do you think? What

would a value of two? What a
value of two is two, two? What?

Tell me with these, what not two
pieces. What would a value of

two be with these? No, it
wouldn't be two parts. What

would a value of two be with
paper strips? What would it look

like? Alana, no, no. Watch this.
Eyes up here. Recheck in,

recheck in. Dylan,

what's the value of this? Tell
me, what's the value of this?

Tell me two. So describe to me a
value of two with paper strips.

Describe, tell me, Priscilla,
two paper strips. So if I have

one paper strip, this is a value
of one means I have one sub, one

gum stick, one candy bar. I have
one. I cannot create more than

one unless I have another paper
strip. But I did this action,

and now I have a number less
than one. What is the value of

that number? Anastasia, it's not
one, because look, this is one,

and this is a number smaller
than one. Is two bigger than one

or smaller than one bigger. This
is what two looks like. This is

what two looks like. We'd have
to have both of ours. But what

value is this piece?

Jack? 1000

is no paper strip at all. So is
this bigger than zero or smaller

than zero? Tell me this is
bigger than zero, but less than

one. Jackson, a half. What did
Jackson say? Tell me, that is

exactly the value of this. This
is a half, a half. What's the

value? Tell me. So here's what I
want you to do on your paper

strip, on your paper strip, with
your pencil all the way on this

edge, as close to this edge as
possible, you're going to put a

zero, because a zero is before
the paper strip happens. What do

you think you're going to put
all the way over on this edge?

How many paper strips is this
one? So as close to that edge as

possible, that's going to be a
one, because this is one whole

paper strip on the crease. Find
the crease. The crease is where

that fold is in the middle on
the crease, we're going to

describe, we're going to
describe this part, and what's

the value of that part? No,
what's the value of one of these

spaces, half. So on the crease,
you're going to write the word

half, H, A, l, F, half, half. So
the value of one of these parts,

the value of one part after the
action for this, one is half.

It's actually one half. Nope,
not. Oh, I love it. Love it.

Love it. Not one and a half. Let
me ask this, ooh, where's my

fancy people? What would one and
a half look like? One and a

half, what would that look like
with paper strips? Yes, one and

a half. What would that look
like with paper strips? The Yes,

so how many paper strips would I
need to show it? Why? Why? Yes?

Say it again. You

won't one won't be enough paper
to make one and a half paper.

Boom. I'm going to show you one
and a half. What's the value of

this? Tell me zero. No, it's
not. I see something here, so

it's not zero. Let me ask you
this, what's the value of this

paper strip? That's zero.
There's none there. There's zero

paper strips. There's so what's
the value of this one? What's

the value of this two? What's
the value of this? Say it again,

Everly, so the value of a paper
strip and another. Okay, so the

value of this one paper strip in
this half this is one and one

half. So it's one whole and one
half. So this we say it one and

a half. That's how we say this.
But this is not one and a half.

How do we say? How do we say
this piece right here, one half

say, one half. Ooh. How many
halves is a whole paper strip?

Two? What two halves. A whole
paper strip is two halves. Now

hold up your paper strip. Do
your first action and show it to

me. What's the value of this?
Not one, not two. Half, half.

Half. Now fold this end to end
again. So we're going to do a

second action. We're going to do
a second action here. We're

going to do a second fold, a
second action, so your size

should look like mine. Did you
fold end to end? Do? When we

open this, how many parts will
there be? Tell me. Sloan, good,

open it up. Open it up. Luke,
say that again. All, Luke, you

are fantastic. Luke said a half
of a half. I'm going to put that

in quotes, and I'm going to call
that the Luke phrase, Luke,

that's going to be your
sentence, half of a half. Okay,

because we just did half of a
half. Okay, Ooh, let's talk

about this. Let's back up for a
minute. Back up for a minute. I

just did my second action. So
Jackson, Stella, Sloan,

Catherine, Matthew, anybody
else? Okay, Jack, I just did my

second action. I opened this up.
How many parts are there? Tell

me four. Buck said that the
action we did created a half of

a half. So now I need to know
what is the value of one of

these parts. What is the value
of one of these parts. Jackson,

what do you think one quarter?
Jackson thinks one quarter?

Agree or disagree? What do you
think it is? Priscilla, a half

of a half, just like Luke. So
here's the question. How much is

a half of a half? What do you
think? Sloan, do you agree with

Luke? That's what Jackson said.
A quarter. Priscilla's agreeing

with a half of a half. Luke is
saying a fourth. Catherine, a a

borders, ah, yes, oh, good. Talk
to me. I agree

with Luke for the first one.

Okay, yeah, okay, no, we're
having a good mathematical

discussion here.

This is fascinating. So
fascinating. Ollie, so what's

the value of Luke's phrase here?
Half of a half. What do you

guys? What do you think? What do
you think? Warren, you think a

half of a half is a fourth. Go
ahead, Luke, I'm going to tell

you the value of this piece. Let
me ask you, this is the value of

this piece bigger than a zero or
smaller than zero? Tell me,

bigger than zero. Is it bigger
than one or smaller than one,

smaller than one is it bigger
than a half? Or smaller than a

half? Smaller than a half, it's
actually half of a half. So it's

actually a part of a half.
Here's what I'm going to tell

you, it is a quarter. It's one
quarter. But another way to say

that is 1/4 those mean the same
thing, a quarter and a fourth.

It is a quarter is a fourth.
Wait a minute. Wait Oh, so Luke,

is a third gonna be bigger than
a fourth or smaller than a

fourth, and then is a third
gonna be bigger than a half or

smaller than a half? Luke? I
want you to do this. I want you

to fold this one into. Three,
equal parts three, equal parts

only three, just three, equal
parts three, equal parts Okay.

Jackson, I just, I was looking
at the first,

yeah, looking at yes, they're
doubling. They're just gonna

keep gone, doubling.

Oh, hold the phone. Oh, good
Jackson, say what you said

again. Listen to this. Go ahead.
So if I folded this a third

time, let's do it. Let's do it.
Let's do it. Do a third action,

don't open it. Good job. Good
job. Do a third action, don't

open it. Do a third don't open
it. Do a third action, make

yours this size. Yep, yep.
You're good. You got three. You

are awesome. You are so super
awesome, right now. Now, Luke,

I'm gonna tell you, how many
parts do you have with this one?

Three. What's the value of one
of those parts half? It's not a

half of the half. Nope, nope,
nope, nope, nope. Regroup. I'm

just gonna tell you this is a
third, because it relates to

three. If there's three parts,
it's a third, if there's three

parts, it's a third. So this is
the size of a third. So is a

There you go. Oh my gosh. Can I
give you a hug? Or no I can,

because this deserves a good
hug. You are, wow, don't open

it. You didn't open it. Did you?
Let me see your size like mine.

How many parts do you think
there will be? Don't open it.

Don't open it. How many parts do
you think there will be? Stella

eight. How many you think?
Eight. How many you think? How

many? How many? How many? How
many you Sure? You sure there's

not going to be six parts? Yeah,
open it up and see, open it up

and see, count how many parts?

So Jackson, very brilliant. Oh,
my goodness. So what is the

value? What is the value? Oh my
gosh, you guys, look what we did

was we now split this up and we
have eight parts. But what's the

value of one of these parts?
Matthew, listen, Luke. It goes

along with what he said. What do
you think it is? Okay, this is

Grayson's phrase. It's of a
half, which, Luke, we just

talked about this with your
three parts. What's the value of

one? If there's eight parts,
what's the value of one of those

parts? But what word would that
be? And it's going to sound like

eight, eight. Everybody do the
TH sound. Let me see your Let me

see your mouth. Hey, wait a
minute. It's not this. We don't

say th. We don't use our lips.
We use our teeth. It's a quiet.

It's a quiet. Now, everybody
say, oh, hear me in four here.

Everybody say

eight.

I'm going to write it so that
you can see it. One of these

parts is called one, eight, it's
got that th at the end. One

eight, what is bigger? A half or
an eighth, that we will discover

another time jonily,

Cheri Dotterer: to learn more
about paper

folding at disabilitylabs.com
that's right disabilitylabs.com

you can find a workshop called
paper folding to learn more

about how to implement paper
folding in the classroom. Hope

to see you there. Oh, and. The
link will be in the show notes.

Do.